Department of Mathematics Guide for the Undergraduate FALL 2014 2 Contents 1 Why Study Mathematics? 3 2 Mathematics at WSU 4 3 What Do Mathematics Graduates Do? 5 4 How to Become a Math Major at WSU 7 4.1 Getting Started 7 4.2 Criteria for Certification 8 4.3 Application for Certification in Mathematics 9 5 The Bachelor of Science Degree 10 5.1 List of Options 10 5.2 Mathematics Major Core Requirements 11 5.3 Mathematics Degree Options 12 5.3.1 Actuarial Science Option 12 5.3.2 Applied Mathematics Option 14 5.3.3 Theoretical Mathematics Option 15 5.3.4 Secondary Mathematics Teaching Option with Certification 16 5.3.5 Secondary Mathematics Teaching Option without Certification 18 6 Certificate in Quantitative Biology 19 7 General Studies Mathematics Degree 20 8 Special Opportunities 21 9 Other Information 23 10 Course Offering Time Table 24 11 Program Checklists and Schedule Worksheets 26 11.1 Other Options Checklist and Schedule Worksheet 26 11.1.1 Other Options Mathematics BS Checklist 26 11.1.2 Other Mathematics Options Required and Suggested Courses 27 11.1.3 Other Options Course Schedule 28 11.1.4 Other Options Schedule Worksheet 29 11.2 Secondary Teaching Option with Certification Checklist and Schedule Worksheet 31 11.2.1 Secondary Teaching Option with Certification Checklist 31 11.2.2 Secondary Teaching Option with Certification Schedule Worksheet 33 11.3 Secondary Teaching Option without Certification Checklist and Schedule Worksheet 34 11.3.1 Secondary Teaching Option without Certification Checklist 34 11.3.2 Secondary Teaching Option without Certification Schedule Worksheet 35 _______________________________________________________________________________________ Postal Address: Department of Mathematics, Washington State University, Pullman, WA 99164-3113 Voice: 509-335-3928 ▪ Fax: 509-335-1188 Email: info@math.wsu.edu URL: http://www.math.wsu.edu Revised: Fall 2014 3 1 Why Study Mathematics? You may be considering a major in mathematics. Maybe you've already made the plunge. In either case, you must have enjoyed mathematics and now probably would like to learn more. These could be reasons enough. But there are other reasons -- good reasons -- for choosing mathematics as your undergraduate major. Mathematics is the oldest and most fundamental of the sciences. Ancient societies all over the world discovered and applied mathematical ideas independently. Have you ever used the Pythagorean Theorem? The idea of Pythagorean triples has been around for approximately 4000 years. Mathematics is also a dynamic, rapidly growing subject that sprouts new ideas, new methods, and new applications every day. Major long-standing problems are being solved one after another, and new ones are being identified all the time. Many of the most exciting developments in the "high tech" revolution depend on mathematical discoveries made since you were born - maybe since you entered high school! For instance, secure web sites use algorithms in which the product of two (very) large prime numbers is used to encrypt a message, and the primes themselves are used to decrypt the message. In recent years, the use of mathematics has been expanding not only in its traditional territory - the physical sciences and technology - but also into the biological and health sciences, the social and management sciences, and even the humanities. Differential equations have been used in the study of brain waves, and statistics are integral to research in the social and management sciences and the humanities. There are many ways of becoming a part of all this - opportunities that can lead to enjoyable, productive, and satisfying careers. Declaring a major in mathematics is a good first step. It should also be said that a major in mathematics can be part of a liberal education par excellence, and in particular can provide a solid base for further study in many other fields such as education, business, engineering, the sciences, and more! _______________________________________________________________________________________ Postal Address: Department of Mathematics, Washington State University, Pullman, WA 99164-3113 Voice: 509-335-3928 ▪ Fax: 509-335-1188 Email: info@math.wsu.edu URL: http://www.math.wsu.edu Revised: Fall 2014 4 2 Mathematics at WSU For most of a century there has been a Department of Mathematics at WSU, where a bachelor’s degree with a major in mathematics, a master's degree in mathematics, and (since 1959) a doctorate in mathematics have been offered. The Department of Mathematics boasts 34 tenured or tenure-track faculty and 3 clinical faculty, all of whom are active scholars and researchers as well as committed teachers. Most of them are known nationally for research or for their involvement in projects that support mathematics and mathematics education. Faculty in our department collaborate with faculty from universities around the world, which includes conducting research at other universities and having mathematicians visit our department. Recently, the number of graduate students has risen to over 80, each of whom is working toward a MS, PhD, or both. For details about the graduate degree programs in mathematics at WSU, see the Graduate Studies link at www.math.wsu.edu. Many of our graduate students hold either graduate teaching assistantships of graduate research assistantships, which provide financial support for their study along with experience as teachers and researchers, respectively. The number of undergraduate students majoring in mathematics varies from year to year, but we currently have approximately 100 certified majors and 80 pre-certified students. Approximately one third of the certified students are focusing on secondary education, which prepares students to be high school teachers. In addition, about one third of our students are part of our growing Actuarial Science program. This year, we are introducing two new courses to meet the increasing needs of Actuarial Science students; one course designed to help students study for Exam P – Probability, and one designed to help students study for Exam FM – Financial Management. Many of our students also have a second major. We currently have students double majoring in business, economics, computer science, engineering, physics, chemistry, history, and music. Rather than a double major, some students are opting for a Certificate in Quantitative Biology, which combines several courses in Mathematics and Biology that is usually an add-on to either a degree in Mathematics or a degree in Biology. Our undergraduate students come from all over the state of Washington, and all over the globe. Many of our students are excellent scholars with outstanding records, and have been amply represented in the Honors Program, the McNair Achievements Program, and have participated in several undergraduate research programs. The Department of Mathematics is located in Neill Hall, on the south side of campus. A directory of faculty and staff offices is on the wall in the foyer, and there is a directory with office hours located outside the main office, Neill 103. The Neill Hall houses three computer laboratories; Neill 3, Neill 101W, and Neill 120, with a fourth laboratory located in Thompson 1. The department also oversees the Math Learning Center in Cleveland 130, where students can receive free tutoring. The departmental website at www.math.wsu.edu contains further information about the department and its educational and research programs. _______________________________________________________________________________________ Postal Address: Department of Mathematics, Washington State University, Pullman, WA 99164-3113 Voice: 509-335-3928 ▪ Fax: 509-335-1188 Email: info@math.wsu.edu URL: http://www.math.wsu.edu Revised: Fall 2014 5 3 What Do Mathematics Graduates Do? You may be asked by your friends, "What can a person do with a mathematics degree?" Many of our graduates become teachers, but if that is not for you, there are many other options. The possibilities are limitless for those with a creative, imaginative mind and the ability to think critically and solve real and theoretical problems. New opportunities are emerging currently due to the nature of the technology and data driven society we live in. The computer chip industry as well as Wall Street has been taking advantage of mathematicians’ expertise for decades. Now other businesses are also finding mathematicians essential for their success. Finding these opportunities can be a challenge, but the flexibility in the types of work you can do is also an asset. According to the Bureau of Labor Statistics, the median pay for the general title “Mathematician” was $101,360 for 2012 (the most recent year for which this information is available). Some positions are available to those with a bachelor’s degree, while other positions require a master’s degree or PhD. In addition to the high median wage is the fact that the job outlook is great! The employment of mathematicians is expected to grow over the next 10 years much faster than the average for other occupations (16% to 32% growth). See http://www.bls.gov/ for more information on pay, education required, job outlook, and related occupations. In addition to looking at “Mathematician,” you may want to check out these careers: Actuary, Financial Analyst, Market Research Analyst, Operations Research Analyst, High School Teacher, Post-Secondary Teacher, and Statistician. Below we have listed several brief descriptions of potential careers and a list of websites that may help you decide which degree option is best for you. More information is provided in Section 5, when each degree option is discussed in detail. Actuaries help businesses assess the risk of certain events and study ways to minimize the impact of such a risk. Thus, actuaries play a significant role in the insurance industry. Actuaries analyze data to estimate the chance and the resulting cost of events such a death, disability, or loss of property. They also address financial questions regarding, for example, the determination of pension contributions in order to produce a certain income upon retirement or business investments to maximize returns in light of potential risks. Actuaries must pass a series of professional exams to earn designations such as Associate or Fellow in professional Actuary societies. An applied mathematician attempts to use mathematical models or methods for solving real world problems. Job titles include: Contracts Specialist, Director of Information Technology, Quality Engineer, Program Manager, Project Analyst, Relations Manager, and Software Engineer or Programmer. A research statistician may be hired by a particular company or industry, or work for an independent research center to do contract work for a variety of companies. For example, a research statistician may collect and analyze data for a medical study, employment patterns for a particular industry or the government, research population trends, or educational improvements. _______________________________________________________________________________________ Postal Address: Department of Mathematics, Washington State University, Pullman, WA 99164-3113 Voice: 509-335-3928 ▪ Fax: 509-335-1188 Email: info@math.wsu.edu URL: http://www.math.wsu.edu Revised: Fall 2014 6 Statisticians may also work as analysts. Some of this work might overlap areas that a research statistician would work on. A statistical analyst could also be a financial analyst, program analyst, or a risk management analyst. An operations researcher applies mathematical concepts to help a business generate a number of ways to solve a problem and then analyze the most efficient approach. A classic example is scheduling for an airport. The landing and take-off of all planes must be scheduled precisely to avoid collisions. The handling of baggage, food and beverages must all be coordinated with flight schedules. Then it is also necessary to route passengers in a way to avoid bottlenecks in the terminal concourses, food vendors, etc. Job titles might include: Business Analyst, Director of Management Science, Economics Analyst, Quality and Customer Satisfaction Consultant, Manager in Risk Management, System Analyst, or Senior Financial Analyst. A theoretical mathematician tries to further the world’s understanding of mathematics. Job titles include: Accounting Analyst, Marketing Associate, Operations Research Analyst, Product Quality Engineer, Research Associate, or System Level Designer. Mathematics teachers may teach at any level. For K-5 teaching, a BA in elementary education is the norm. Some states now require middle school mathematics teachers to have a much more extensive background in mathematics. Currently in Washington State there are two ways to certify: K-8 or 5-12. An endorsement in middle school mathematics is recommended for those interested in teaching grades 6-9. If you want to teach at a community college, you will need an MS in mathematics with some math education background. For teaching at a four year institution, instructors need a minimum of an MS, and regular faculty need a PhD. Some Professional Organizations for Mathematicians: http://www.ams.org http://www.maa.org http://www.iamg.org http://www.siam.org http://www.awm-math.org/ http://www.imstat.org http://www.cms.math.ca Some Professional Organizations for Actuaries: http://www.actuary.org http://www.asppa.org http://www.casact.org http://www.ccactuaries.com http://www.soa.org Some Professional Organizations for Statisticians: http://www.amstat.org http://www.casact.org http://www.imstat.org http://www.iasa.org http://www.biometricsociety.org/ A Professional Organization for Research Analysts: http://www.informs.org Some Professional Organizations for Mathematics Teachers: http://www.nctm.org http://www.rethinkingschools.org http://www.amatyc.org http://www.whatkidscando.org http://mathcentral.uregina.ca _______________________________________________________________________________________ Postal Address: Department of Mathematics, Washington State University, Pullman, WA 99164-3113 Voice: 509-335-3928 ▪ Fax: 509-335-1188 Email: info@math.wsu.edu URL: http://www.math.wsu.edu Revised: Fall 2014 7 4 How to Become a Math Major at WSU 4.1 Getting Started In the following pages you will find the information you need to start and work through your program as a mathematics major. You should complete Math 171, 172 (or 182) and 220 (or 230) as soon as possible. Note that Math 182 and 230 are the honors versions of Math 172 and 220, respectively. The honors classes give students enrichment opportunities and smaller class sizes. Your advisor or the course instructor can give you permission to enter these classes. After completing Math 171, 172 (or 182) and 220 (or 230), you can apply to certify as a math major. The instructions for doing this follow in this section. Your advisor will help you plan your program so that you complete both your general requirements and the specific requirements for one of the several mathematics major options. Students entering college should take a minimum of three math courses their first year, to include Math 171, 172, and 220, which is two semesters of calculus and a semester of linear algebra. A student may use AP or Running Start credit to get a head start on these requirements. Please see the AP credit chart at http://admission.wsu.edu/requirements/ap-credit.html for more information. For transfer students who arrive at WSU with an AA or AS, we recommend having the calculus series, linear algebra, differential equations, and physics with a lab completed so one has the best possible chance of completing a bachelor’s degree in two years (in addition to the AA or AS). To ensure your courses will transfer to WSU appropriately, please use WSU’s transfer equivalency tables at https://wsu.edu/psportal/pages/transfercoursesearch.html. If your college or university offers courses that are not in the tables, but you think is equivalent to a WSU mathematics course, please send a request to have the course(s) evaluated to info@math.wsu.edu. As a mathematics major, you will be required to select and follow one of the options listed in the next section, because modern mathematics is an expansive field. It will increase the likelihood of getting a job or being accepted into graduate school if you do some specializing during your undergraduate career. The types of things you can do with each option are described in the pages that follow. Notice especially that some faculty members who can give you more information are listed for each option, and you can get their contact information at http://www.math.wsu.edu/faculty/. Information on the “core” courses common to all math majors and all of the options is given in Section 5 of this guide. If you have chosen an option from section 5 and have completed Math 171, Math 172, and Math 220, then you are eligible to certify as a Math major. The benefits of doing so include, but are not limited to, increased eligibility for scholarships and internships and knowing that your requirements for graduation will not change. Requirements for a specific option may change over time, but once you have certified you can feel secure that your individual requirements will not change. Full information on certification is listed on the next page. _______________________________________________________________________________________ Postal Address: Department of Mathematics, Washington State University, Pullman, WA 99164-3113 Voice: 509-335-3928 ▪ Fax: 509-335-1188 Email: info@math.wsu.edu URL: http://www.math.wsu.edu Revised: Fall 2014 8 4.2 Criteria for Certification The following list provides the criteria for certification in Mathematics. 1. Applications for certification are accepted at any time and decisions are made within ten working days of receipt of completed application. An application form is on the following page. 2. Applicants must have an overall grade point average of at least 2.00. The mathematics core consists of Math 171, Math 172 (or 182), and Math 220 (or 230). This core (or its equivalent for transfer students) must be completed before applying for certification. Students with at least a 2.50 grade point average in the mathematics core will be certified automatically. Those with less than a 2.00 GPA in the mathematics core will normally not be certified. Others will be considered on a case-by-case basis. 3. The department chairperson considers appeals on certification decisions. Students who are denied certification may reapply after completing at least twelve more semester hours, whereupon decisions are based on grades in mathematics, science, and computer science courses; cumulative grade point average and grade patterns; and a personal interview. 4. Certified students whose cumulative grade point average or grade point average in mathematics courses numbered 171 and above falls below 2.00 for two consecutive semesters, or who are academically deficient, are subject to de-certification. Applications for re-certification are handled in the same manner as certification applications for those previously denied. _______________________________________________________________________________________ Postal Address: Department of Mathematics, Washington State University, Pullman, WA 99164-3113 Voice: 509-335-3928 ▪ Fax: 509-335-1188 Email: info@math.wsu.edu URL: http://www.math.wsu.edu Revised: Fall 2014 9 4.3 Application for Certification in Mathematics Date: ____________________ Name: __________________________________________Student ID__________________________ Mailing Address:_____________________________________________________________________ Permanent Address:___________________________________________________________________ Email: ____________________________________________________________ Local Phone: ___________________________Permanent Phone ______________________________ 1. Option (check one): ___Actuarial Science ___ Applied Math ___ Theoretical Math ___Secondary Math Teaching w/Certification ___Secondary Math w/out Certification 2. Have you ever been denied certification or been de-certified in one of these areas at WSU? (circle one) YES or NO If yes, Explain: 3. Will this be a second major? (circle one) YES or NO If yes, what is your other major? ____________________ Will this be a second degree? (circle one) YES or NO If yes, what is your other degree? ____________________ 4. Have you attended other colleges? (circle one) YES or NO If yes, please list: College or University Year last attended Credits Earned GPA _______________________________________________________________________________ _______________________________________________________________________________ _______________________________________________________________________________ 5. Mathematics Core Course Grades WSU Course Math 171 ‐ Calculus I Math 172/182 ‐ Calculus II Math 220/230 ‐ Linear Algebra Grade To Be Completed if Course Not Taken at WSU Course Designation (if College Where Course not taken at WSU) Completed/AP Credits The section below this line is for Mathematics Department use only. Certification approved by: _____________________________________ Date: _______________________ Mentor Assigned: ______________________________________________________________________ Certification denied by: _______________________________________ Date: _______________________ Comments: _______________________________________________________________________________________ Postal Address: Department of Mathematics, Washington State University, Pullman, WA 99164-3113 Voice: 509-335-3928 ▪ Fax: 509-335-1188 Email: info@math.wsu.edu URL: http://www.math.wsu.edu Revised: Fall 2014 10 5 5.1 The Bachelor of Science Mathematics Degree List of Options The Mathematics Bachelor of Science (BS) degree program at WSU has the following options: Actuarial Sciences Applied Mathematics Theoretical Mathematics Secondary Mathematics Teaching with Certification Secondary Mathematics Teaching without Certification You are required to declare one of these options, and to follow the curricular provisions of the chosen option, as approved by your advisor. You should choose an option area as quickly as it is reasonable to do so. Normally, this will occur by the end of the first semester of the junior year. Students for whom special circumstances apply may take a coherent list of courses, recommended and approved by the advisor that may not be specifically within one of the stated optional areas. _______________________________________________________________________________________ Postal Address: Department of Mathematics, Washington State University, Pullman, WA 99164-3113 Voice: 509-335-3928 ▪ Fax: 509-335-1188 Email: info@math.wsu.edu URL: http://www.math.wsu.edu Revised: Fall 2014 11 5.2 Mathematics Major Core Requirements In addition to the University Common Requirements (UCORE) and the additional College of Arts and Sciences requirements, as a major in mathematics who is choosing one of the Actuarial Science, Applied Mathematics, or Theoretical Mathematics options, you are required to take Math 171, 172 (or 182), 220 (or 230), 273 (or 283), 300, 301, 315, 360 (or 443), 398, 401, 402, 420, 421, the capstone course Math 464, and three additional 3-credit 300-400 level math courses specified by your chosen option, Phys 201, Cpt S 121, and Engl 402 (or 403 for non-native English speakers). If you choose one of the Secondary Mathematics Teaching options, in addition to University Common Requirements (UCORE) and the additional College of Arts and Sciences requirements, you must take Math 171, 172 (or 182), 216, 220 (or 230), 273 (or 283), 300, 301, 315, 320 (or 421), 330, 360 (or 443), 398, 401, 403, 431, the capstone course Math 432, two additional 3-credit 300-400 level math courses, Phys 201, and Engl 201 (or 301). To help you stay organized and on track to graduate, we have included Checklists and Schedule Worksheets in Section 11. All course requirements are listed, and a general outline of a schedule is provided. _______________________________________________________________________________________ Postal Address: Department of Mathematics, Washington State University, Pullman, WA 99164-3113 Voice: 509-335-3928 ▪ Fax: 509-335-1188 Email: info@math.wsu.edu URL: http://www.math.wsu.edu Revised: Fall 2014 12 5.3 Mathematics Degree Options 5.3.1 Actuarial Science Option Description: Actuaries are the leading professionals in finding ways to manage risk, and they are the analytical backbone of our society's financial security programs. With specialized training in mathematics and business, most actuaries are employed in the financial services sector, including insurance companies, commercial banks, investment banks, consulting firms, and retirement funds. Actuaries are also employed by large corporations as well as the state and federal government. Actuarial responsibilities involve research, planning, forecasting, and decision-making as regards risk and contingency in financial and insurance programs. Actuaries use applied mathematics to define, analyze and solve complex financial and social problems. They apply their knowledge to all aspects of insurance, financial and pension operations and are found wherever insurance-related problems arise. The actuary's primary work is to design risk management programs that will meet specific financial and social needs and operate on a sound financial basis. The programs may involve life insurance, health insurance, pensions and other employee benefit plans, property and liability insurance, social insurance (such as social security), or insurance on financial investments. The professional designations of actuaries depend on the organization to which they belong, and their progress in the actuarial exam system. After passing a series of exams, an actuary receives the designation of Associate. For example, actuaries who specialize in property and casualty receive the Associate of the Casualty Actuarial Society (ACAS) designation. Actuaries who analyze pensions or investments receive the Associate of the Society of Actuaries (ASA) designation. After receiving the Associate designation, the actuary may elect to continue to take the actuary exams in order to achieve the highest designation of Fellow. To become a Fellow in the Society of Actuaries, it is necessary to pass a series of actuarial exams. The entire process of becoming an actuarial Fellow can take 3 to 7 years of study and work experience beyond the bachelor's degree. For the first actuarial exam, a student needs a substantial background in calculus-based probability. Additional courses in economics, business, insurance, and finance provide further preparation and background for subsequent exams. However, even though their training is basically in mathematics, business, and economics, practicing actuaries must have good understanding on human behavior and deal with people with greatly varying educational backgrounds, and so must be able to explain and communicate complicated concepts effectively. Communication skills, both written and oral, are essential for success as an actuary. Job Market and Salary Information: Employment of actuaries is expected to grow at much faster pace than average, 26%, according to the Bureau of Labor Statistics. Recently, new employment opportunities arose from the need to analyze risks related to health-care costs, complex financial instruments, and climate change. Annual salaries for actuaries compare favorably with those of other professionals with comparable education and experience. According to The Ezra Penland Actuarial Recruitment 2013 US Actuarial Salary Surveys (http://www.ezrapenland.com/salary/), new actuarial associates with passing five actuarial exams earned between $69,000 and $88,000, whereas actuarial fellows with 6 years of experience averaged between $85,000 and $117,000. The average annual starting salary for graduates with a bachelor’s degree in actuarial science and passing one actuarial exam was approximately $50,000-$65,000. For those who _______________________________________________________________________________________ Postal Address: Department of Mathematics, Washington State University, Pullman, WA 99164-3113 Voice: 509-335-3928 ▪ Fax: 509-335-1188 Email: info@math.wsu.edu URL: http://www.math.wsu.edu Revised: Fall 2014 13 successfully pass subsequent exams, salary increases come rapidly. Along with salaries, most actuaries receive excellent fringe benefits from their employers. Suggestions: A broad range of training is needed to become a skilled actuary. Students need broad training in mathematics, business, economics, and finance as well as development of their communication skills. Additional experience (e.g. summer internships) or skills (e.g. computer programming) will be attractive to employers. Job prospects for entry-level positions are tremendously improved for those who have passed at least one or two of the initial actuarial exams. Resource People: Professors Lesperance, Li, Moore, and Yin Required Courses: Math 360, 416, 423, and 443 Suggested Courses: Acctg 230 and 231, EconS 101 and 102, and Fin 325 provide additional background for actuarial exams. Note: You may need certification in the College of Business in order to register for Business courses. A minor in Accounting or Business, for example, is recommended. Information about the actuarial exams and review materials can be downloaded from the Society of Actuaries web site at http://www.soa.org. _______________________________________________________________________________________ Postal Address: Department of Mathematics, Washington State University, Pullman, WA 99164-3113 Voice: 509-335-3928 ▪ Fax: 509-335-1188 Email: info@math.wsu.edu URL: http://www.math.wsu.edu Revised: Fall 2014 14 5.3.2 Applied Mathematics Option Description: According to the Bureau of Labor Statistics (BLS, www.bls.gov), applied mathematicians use theories and techniques, such as mathematical modeling and computational methods, to formulate and solve practical problems in business, government, engineering, and the physical, life, and social sciences. Operations research analysts formulate and apply mathematical modeling methods to develop and interpret information that assists management with policy formulation and other managerial functions. Job Market Information: Many jobs that are closely related to applied mathematics or operations research require a master’s degree or Ph.D. An exception to this rule is employment with the federal government. However, an undergraduate degree in Mathematics can be attractive to employers in combination with a second area of interest, such as another STEM (Science, Technology, Engineering and Mathematics) or business-related field. Employers are often interested in programming skills, so students who intend to find employment after obtaining a bachelor’s degree should have computational experience as well as a good grounding in mathematics. Employment for mathematicians with graduate degrees is expected to grow much faster than average (23%), but keen competition for jobs is expected. Employment for operations research analysts is also expected to grow much faster than average (27%). Individuals who combine their undergraduate degree with a master’s or Ph.D. in operations research or management science should have excellent job opportunities. Salary Information: According to the BLS, the median salary for all STEM occupations in 2013 was about $76,000. The median salary for Computer and Mathematical Science occupations was about $71,000. These figures include workers holding graduate degrees. Like occupations in other disciplines, STEM occupations that require more education usually pay more than those that need less. Course requirements: In addition to the core requirements, at least three upper-division courses in mathematics that form a coherent program within the Applied Mathematics Option are required. These will be approved by your advisor. Three suggested tracks are described below: Operations Research. Math 364 and two of Math 325, 416, 448, 453, 456 and 466. Resource People: Professors Asaki, Dong, and Krishnamoorthy. Computational Mathematics. Cpt S. 122, Math 364, 448 and one of Math 416, 440, or 466. Resource People: Professors Asaki, K. Cooper, Dillon, Dong, Genz, Krishnamoorthy, Lapin, Manoranjan, Schwartz, Tsatsomeros, Vixie, Wang, Watkins, and Yin. Mathematical Modeling. Three of Math 340, 415, 440, 448 and 486. Two of Math 364, 416, 423, or 441 are also recommended. A minor in an applied subject area, chosen in consultation with an adviser, is also strongly recommended. Resource people: Professors Asaki, K. Cooper, Dillon, Dimitrov, Dong, Genz, Khapalov, Krishnamoorthy, Lapin, Manoranjan, Panchenko, Schumaker, Schwartz, Vixie, Wang, Watkins, Wollkind, and Yin. _______________________________________________________________________________________ Postal Address: Department of Mathematics, Washington State University, Pullman, WA 99164-3113 Voice: 509-335-3928 ▪ Fax: 509-335-1188 Email: info@math.wsu.edu URL: http://www.math.wsu.edu Revised: Fall 2014 15 5.3.3 Theoretical Mathematics Option Description: If you are interested in pursuing a graduate degree in mathematics or enjoy mathematics and would like a solid general undergraduate degree in mathematics, you should consider the Theoretical Mathematics Option. Because of its sound mathematical content and the fact that modern applications use mathematics from many areas of mathematics that are theoretically based, it leaves the graduate with many career opportunities. The numerous electives also allow greater flexibility in planning an unusually broad undergraduate experience. This option prepares the student for graduate study in one of the mathematical sciences or even in other fields, such as economics, law, and business, where a strong mathematical background is a great asset. Job Market and Salary Information: Because of the great variety of possibilities, it is difficult to be precise about opportunities or beginning salaries. Nevertheless, a person with a new BS in core mathematics who is employed in industry is likely to start at $45,000 - $55,000. Beginning salaries for those with a graduate degree naturally depend on the kind of graduate study done and which graduate degrees are earned. Specifically, those who continue studying core mathematics, earn a PhD, and go into college teaching or university teaching and research, now begin at an average of about $55,000 for nine months. Someone with the same background who goes into a twelve-month non-academic position may start at about $80,000. Suggestions: This option is not so much a single program as a framework of mainstream mathematics with many electives. The individual student is thus free to select electives to form a personal program especially suited to his or her interests and plans. For formal graduation and degree requirements, see the current college catalog. Resource People: Professors S. Cooper, Hudelson, Khapalov, Lapin, Liu, McDonald, Moore, Panchenko, Tsatsomeros, and Vixie. Required Courses: Three of Math 302, 325, 403, 415, 441, or 453. _______________________________________________________________________________________ Postal Address: Department of Mathematics, Washington State University, Pullman, WA 99164-3113 Voice: 509-335-3928 ▪ Fax: 509-335-1188 Email: info@math.wsu.edu URL: http://www.math.wsu.edu Revised: Fall 2014 16 5.3.4 Secondary Mathematics Teaching Option with Certification Description: Since many of you are recent high school graduates, you generally understand the primary duties of a high school mathematics teacher. However, there are many opportunities related to educating high school students besides tasks associated with classroom teaching. With a BS degree in mathematics with the secondary teaching option, it is possible to: run a "math lab" designed to provide tutorial help for high school or even college students; chair a middle or high school mathematics department; write mathematics curriculum; develop educational technology; assume active leadership roles in professional state or national organizations; teach extension or night classes; or work with the superintendent’s office on various projects including setting/revising state standards. Also, there are many new opportunities for specialists or math coaches as the shortage of qualified mathematics teachers continues to drain the limited pool of teachers, especially in the middle schools. A math specialist or mathematics coach works with district mathematics teachers to aid in various areas: adoption of new curriculum; development of supplemental material for existing curricula; writing grants to obtain materials or pay for professional development or travel. Job Market and Salary Information: Currently, the demand for qualified mathematics teachers is very high in secondary and middle schools. Salaries in public schools in the State of Washington for 2014-2015 start at approximately $34,000 for someone with a BS and $40,000 for someone with a master’s degree. Experienced teachers with the highest qualifications are earning salaries of $64,000. Teachers who are Nationally Board Certified earn an additional yearly bonus of $5,090. You can search the website for the Office of the Superintendent for the state you plan to teach in for more information on these issues. In Washington, this information can be found at the Office of the Superintendent of Public Instruction (OSPI) http://www.k12.wa.us. Suggestions: If you are interested in teaching secondary mathematics, then you must have a sophisticated understanding of the mathematics that provides the foundation for the curriculum you will teach. Current national standards push for a more conceptual understanding of mathematics involving critical thinking rather than relying solely on memorization, and this requires that teachers have a greater depth of mathematical understanding than they might have had in the past. There are two ways you can complete the mathematics requirements that meet state certification to teach secondary mathematics. One is to complete the requirements for a mathematics BS with Secondary Teaching Option as described in the current catalog. The other method is through the General Studies program. The requirements for the mathematics major in the General Studies program are given under the Department of Education in the current college catalog to ensure requirements meet the minimum state requirements. The General Studies program requires less mathematics coursework than a Mathematics BS, and is for those students who prefer broader teaching goals, such as teaching two subjects or receiving extensive coaching training. However, if you decide not to continue with a teaching career, the General Studies degree is not sufficient for many of the career paths that one can follow with a BS in mathematics. Resource People: Professors S. Cooper, Karunakaran, Knott, and Vincent. The coordinator for field placement in Teaching and Learning is Christine Sodorff. Required Courses: Math 216, 330, 403, 431, the capstone course Math 432, and two additional 3-credit 300-400 level math courses. Substitutions: Math 402, 420 and Cpt S 121 are not required; Engl 201 (or 301) should be taken instead of Engl 402. Math 320 may be substituted for Math 421. _______________________________________________________________________________________ Postal Address: Department of Mathematics, Washington State University, Pullman, WA 99164-3113 Voice: 509-335-3928 ▪ Fax: 509-335-1188 Email: info@math.wsu.edu URL: http://www.math.wsu.edu Revised: Fall 2014 17 T&L Requirements: Secondary education teacher certification also currently requires EdPsy 468, TCH_LRN 301, 317, 464, 465, 466, 467, 469, and 470; a Teaching & Learning advisor should be consulted for proper sequencing and approval. Enrollment in Teaching & Learning (TCH_LRN) courses after TCH_LRN 301 and 317 requires admittance to the teacher preparation program. (Contact the Teaching & Learning Department in the College of Education for information and an advisor). TCH_LRN 415 (student teaching) completes the program of study. Note on Certification: Certification into the Secondary Mathematics Education option is a two step process. First you must be certified by the Mathematics Department in a manner consistent with the other options. The second step is to be admitted into the secondary program by Teaching & Learning. The Mathematics Department is involved in that process, but Teaching & Learning has the final say. You must have completed or be enrolled in Math 301 when you apply for admission to the secondary program. Some Professional Organizations for Mathematics Teachers: http://www.nctm.org http://www.rethinkingschools.org http://www.amatyc.org http://www.whatkidscando.org http://mathcentral.uregina.ca _______________________________________________________________________________________ Postal Address: Department of Mathematics, Washington State University, Pullman, WA 99164-3113 Voice: 509-335-3928 ▪ Fax: 509-335-1188 Email: info@math.wsu.edu URL: http://www.math.wsu.edu Revised: Fall 2014 18 5.3.5 Secondary Mathematics Teaching Option without Certification Description: This is essentially the same as the previous option except that instead of taking the Teaching & Learning (TCH_LRN) courses required for certification, you postpone them and plan to get certified through a graduate program such as a Master in Teaching Program or Master of Mathematics with Teaching option. This option allows you to take more electives to broaden your foundation in mathematics, earn a minor, double major, or earn an endorsement in middle school math or science. Job Market and Salary Information: Currently, the demand for qualified mathematics teachers is very high in secondary and middle schools. Salaries in public schools in the State of Washington for 2014-2015 start at approximately $34,000 for someone with a BS and $40,000 for someone with a master’s degree. Experienced teachers with the highest qualifications are earning salaries of $64,000. Teachers who are Nationally Board Certified earn an additional yearly bonus of $5,090. You can search the website for the Office of the Superintendent for the state you plan to teach in for more information on these issues. In Washington, this information can be found at the Office of the Superintendent of Public Instruction (OSPI) http://www.k12.wa.us. Suggestions: This option allows you to complete the requirements for a mathematics BS with Secondary Teaching Option without certification and gives students more flexibility. It is ideally suited for those students who are interested in broader teaching goals, such as teaching two subjects or receiving extensive coaching training; earning a middle level math or science endorsement; or simply expanding their mathematical knowledge base. If you decide not to continue with a teaching career, this option is sufficient for many of the career paths that one can follow with a BS in mathematics. Resource People: Professors S. Cooper, Karunakaran, Knott, and Vincent. Required Courses: Math 216, 330, 403, 431, the capstone course Math 432, and two additional 3-credit 300-400 level math courses. Substitutions: Math 402, 420 and Cpt S 121 are not required; Engl 201 (or 301) should be taken instead of Engl 402. Math 320 may be substituted for Math 421. Math 432 is substituted for Math 464 as the capstone course. Recommended Courses: Four additional courses from the following- Math 302, 325, 340, 351, 364, 415, 420, and 441. T&L Requirements: Since this option is without certification, there are no T&L requirements. Some Professional Organizations for Mathematics Teachers: http://www.nctm.org http://www.rethinkingschools.org http://www.amatyc.org http://www.whatkidscando.org http://mathcentral.uregina.ca _______________________________________________________________________________________ Postal Address: Department of Mathematics, Washington State University, Pullman, WA 99164-3113 Voice: 509-335-3928 ▪ Fax: 509-335-1188 Email: info@math.wsu.edu URL: http://www.math.wsu.edu Revised: Fall 2014 19 6 Certificate in Quantitative Biology The certificate in quantitative biology requires 28 credit hours including Math/Biol 340 and Math/Biol 494. In addition to the two required courses, students must take at least 12 hours of courses in mathematics, statistics, or computer science of which at least 8 hours must be at the 300-level or above and at least 12 hours of life sciences courses of which at least 8 hours must be at the 300-level or above. A list of recommended courses is provided in the departments. The requirement for 300-level or above may include independent research credits. However, no more than 4 hours of S, F graded coursework (including Math/Biol 494 and 499) may count towards the 28 credits. No more than 7 out of the 28 credits may be transfer credits. Students must earn a cumulative GPA of 2.5 and no less than a C for graded courses used to fulfill the requirements of the certificate. A faculty coordinator shall be designated to oversee the certificate approval process. _______________________________________________________________________________________ Postal Address: Department of Mathematics, Washington State University, Pullman, WA 99164-3113 Voice: 509-335-3928 ▪ Fax: 509-335-1188 Email: info@math.wsu.edu URL: http://www.math.wsu.edu Revised: Fall 2014 20 7 General Studies – Mathematical Sciences General Studies is for students who have varied interests that may cut across the usual departmental boundaries and who wish to play a role in deciding on a suitable curriculum of study. The degree offered is the Bachelor of Science. The degree is not identified with a specific subject-matter field on the diploma. The General Science Program seeks to prepare students for a wide variety of opportunities after graduation ranging from professional and graduate school to entry into business and industry. Graduates of the General Science program are expected to: 1) have a thorough understanding and knowledge of their major area of study; 2) understand and critically analyze research and journals from their field of study; 3) communicate clearly about their field to a wide variety of audiences, and 4) understand that they will need to engage in lifelong learning to stay current in their field. Prerequisite Courses: three semesters of calculus and linear algebra. Primary concentration: a minimum of 24 semester credits, including at least 15 300-400-level credits, must be completed in mathematics with a minimum 2.00 primary concentration GPA. Students who complete the above concentration will receive a Bachelor of Science degree with a primary concentration in general mathematics (Gen M). Secondary concentration: a minimum of 15 semester credits, including at least 6 300-400-level credits, must be completed in another academic department, program or area published in the catalog with a minimum 2.0 minor concentration GPA. _______________________________________________________________________________________ Postal Address: Department of Mathematics, Washington State University, Pullman, WA 99164-3113 Voice: 509-335-3928 ▪ Fax: 509-335-1188 Email: info@math.wsu.edu URL: http://www.math.wsu.edu Revised: Fall 2014 21 8 Special Opportunities A university education entails many things beyond courses, degrees, sports, and social amusements. It is a cultural center. To obtain the most from your experience at WSU, you should take advantage of some of these additional opportunities. For example, WSU offers such extracurricular opportunities as: clubs and other organizations catering to many interests; lectures, stage shows, film series, concerts, and other such events; an excellent intramural program, and athletic facilities for leisure time use; and, in the libraries, a fantastic collection of books, periodicals, records, tapes, etc. to which you have virtually unlimited access. In particular, you should take a look in the Owen Science and Engineering Library. While the books and periodicals that are kept there are primarily for advanced study and research, some of them are written for - or even by - undergraduates. Among the periodicals, take a look (for example) at The College Mathematics Teacher, The Mathematics Intelligencer, The Mathematics Teacher, or The Mathematical Gazette. The Department of Mathematics offers some special opportunities that might be described better as "cocurricular" rather than "extracurricular." What follows is a list of some of these special opportunities. Mathematics 499, Special Problems: This carries variable credit (1-4) and may be repeated. It provides an opportunity to pursue many kinds of special projects on your own, with faculty guidance. In spite of the course number, this possibility is not limited to seniors. If you are interested, discuss this with a suitable faculty member. When you register for the course, you will need to know the number of credits and the faculty member who will be working with and grading you. Bring that information to the Math Department Office to be enrolled. Undergraduate Research: Among the faculty research projects there are almost always some in which an undergraduate can take a meaningful role. (At times, occasionally with financial support from the National Science Foundation, research projects have been set up specifically for the benefit of undergraduate participants.) Such activities can yield credit, publications, stipends, a running start on graduate study or a career, and a great deal of personal satisfaction. Every semester the College of Arts and Sciences (of which the Mathematics Department is a part) also has some undergraduate research scholarships available (see http://cas.wsu.edu/research/undergraduate.html). If you are interested, ask a member of the mathematics faculty about possibilities. The Mathematics Department also offers crossdisciplinary undergraduate research opportunities such as the Undergraduate Program in Biology and Mathematics (http://www.ubm.wsu.edu/about.html). Scholarships and Awards: The department has a number of scholarships and awards available to students at all levels. For more information, go to http://www.math.wsu.edu/scholarships/scholarships.php and http://cas.wsu.edu/scholarships/index.html. Juniors must have a 3.25 overall GPA and seniors a 3.00 GPA to be eligible for these awards. Applications due in January (see websites for specific dates) and are reviewed every spring. You might also check some of the websites listed in Section 3 to see if any of these societies offer funding opportunities. Math Club: The Math Club is open to all students interested in mathematics. They need not be math majors. The club offers events for socialization, networking, and learning about the opportunities available in the field of mathematics at WSU and the world. Interested students can find information about upcoming meetings at http://studentinvolvement.orgsync.com/org/mathclub/home. In addition, a bulletin board with Math Club announcements is located outside Neill 103. _______________________________________________________________________________________ Postal Address: Department of Mathematics, Washington State University, Pullman, WA 99164-3113 Voice: 509-335-3928 ▪ Fax: 509-335-1188 Email: info@math.wsu.edu URL: http://www.math.wsu.edu Revised: Fall 2014 22 Undergraduate Teaching Assistantships: The Mathematics Department is sometimes able to employ qualified undergraduates to assist in grading for some courses, or to work as a tutor at the Math Learning Center. Students who have done this have often reported that they have found it satisfying and even exciting. Juniors must have a 3.25 overall GPA and seniors a 3.00 GPA to be eligible for these positions. Applications are reviewed every semester. If you are interested and would like more information see the Chair’s secretary in Neill 113 or go to http://www.math.wsu.edu/positions/welcome.php. Private Tutoring Opportunity: Students in introductory level classes are sometimes interested in hiring more advanced students to help them learn mathematics. The Department cannot be formally involved in these arrangements, but does maintain a list of students who are willing to tutor. If you would like to be on the list, complete a form in the mathematics main office (Neill 103). College Modeling Contest: In February of each year there is a national competition in applied mathematics called the College Modeling Contest. Teams of three students spend a weekend attempting to solve a "real world" applied problem. The group's solution is submitted to a national panel of judges. The best solutions get publicized. If you are interested, inquire in the Mathematics main office (Neill 103). Putnam Competition: Each year in December the Mathematical Association of America sponsors a mathematical problem-solving competition called the William Lowell Putnam Competition. High scores carry considerable prestige and sometimes cash prizes. For a number of years WSU has groomed students for this competition and they have done well. If you are interested, inquire in the Mathematics main office (Neill 103). Hacker Reading Room: Mathematics majors are invited to use the Hacker Reading Room (Neill 216) for studying and socializing. The room is usually available from 8:00 a.m. to 4:30 PM Monday through Friday, but is occasionally reserved for department functions such as the annual Scholarship and Awards Ceremony. Signs will be posted for any such events. _______________________________________________________________________________________ Postal Address: Department of Mathematics, Washington State University, Pullman, WA 99164-3113 Voice: 509-335-3928 ▪ Fax: 509-335-1188 Email: info@math.wsu.edu URL: http://www.math.wsu.edu Revised: Fall 2014 23 9 Other Information Answers to many questions about courses, academic regulations, university policies and procedures, etc., will be found in the current WSU Catalog (www.catalog.wsu.edu) and Time Schedule (www.schedules.wsu.edu), at the departmental website (www.math.wsu.edu), the WSU registrar (www.registrar.wsu.edu), and other WSU web sites (www.wsu.edu). If you have questions about a course, feel free to contact the instructor, whose information can be found on the Mathematics Department directory online or outside Neill 103. General questions can be answered by the main office staff in Neill 103 (schedules, office hours, drops/adds/withdrawals), and most other questions can be answered by the department undergraduate advisor in Neill 112. As graduation approaches, you will be thinking more and more seriously about the future. Specifically, you will probably be thinking about employment and/or graduate schools. In connection with employment, you will find much interesting information in the booklet Professional Opportunities in the Mathematical Sciences that is published by the Mathematical Association of America and revised frequently. You can view other relevant information at http://www.maa.org/students-and-careers-0. On campus, the people in the Academic Success and Career Center (ASCC) on the First Floor of the Lighty Student Services Building are eager to help at all stages, from preliminary identification of your own special aptitudes and goals to scheduling interviews with recruiters from possible employers. If you are looking for Graduate School information, the most useful compilation of information on US and Canadian graduate programs in the mathematical sciences is the annual "Special Issue: Assistantships and Fellowships in the Mathematical Sciences" of Notices of the American Mathematical Society, which appears in December. The Owen Science Library usually has several copies and often you can borrow one from a faculty member who regularly receives the Notices. Members of the mathematics faculty can often give you first-hand information about graduate programs you may be considering. If you are interested in teaching, the Department of Teaching and Learning in Cleveland Hall has additional resources about the teaching job market. In any case, you should get together with your advisor or faculty mentor to talk about your professional plans after graduation no later than in the fall of your senior year. You should not wait until your senior year to get acquainted with these valuable resources. _______________________________________________________________________________________ Postal Address: Department of Mathematics, Washington State University, Pullman, WA 99164-3113 Voice: 509-335-3928 ▪ Fax: 509-335-1188 Email: info@math.wsu.edu URL: http://www.math.wsu.edu Revised: Fall 2014 24 10 Course Offering Time Table Legend: F=Fall, S=Spring, s=summer, O=Odd numbered years only, E=Even numbered years only, c// = concurrent Course # Course Title Prerequisites and Co-requisites Offered 171 Calculus I Math 106 and 108 with a grade of C or better F, S, s 172 Calculus II Math 171 with a grade of C or better F, S, s 182 Honors Calculus II Math 171 with a grade of C or better & Instructor F permission Discrete Structures Math 107 or 108 with a grade of C or better. F,S, s 220 Introductory Linear Algebra Math 171 or c// F, S, s 230 Honors Introductory Linear Algebra Math 171 or c// & Instructor permission 273 Calculus III Math 172 with a grade of C or better 283 Honors Calculus III Math 182 or Instructor permission 300 Mathematical computing Math 220 216 301 Mathematical Reasoning Math 220 or 230 with a grade of C or better 302 Theory of Numbers Math 172, 220, and 301 with a grade of C or better 303 Geometry for the Middle School Teacher Math 252 315 Differential Equations Math 273 with a grade of C or better; Math 220 S F, S, s S F,s F,S,s SO F F, S, s with a grade of C or better or c// 320 Elementary Modern Algebra Math 220 with a grade of C or better S 325 Elementary Combinatorics Math 220 with a grade of C or better F Methods of Teaching Secondary School Math 220 F S 330 Math 340 Introduction to Mathematical Biology Math 140 or 172 with a grade of C or better and 3 351 Algebraic Thinking for the Middle Math 252 with a grade of C or better credits of biology S School Teacher 360 Probability and Statistics Math 172 F, S, s 364 Principles of Optimization Math 202 or 220 F, S 375 Vector Analysis Math 315 SE 398 Math Snapshots Math 172 S 401 Introduction to Analysis I Math 301 with a grade of C or better F 402 Introduction to Analysis II Math 401 S 403 Geometry for Secondary Teachers Math 301 with a C or better F 415 Intermediate Differential Equations Math 315 416 Simulation Methods Math 360 and a computer programming course F 420 Linear Algebra Math 220 (or 230) and 301 with grades of C or F SE better 421 423 Algebraic Structures Math 301 with a grade of C or better S Statistical Methods for Engineers and Math 360 or one 3 hour statistics course S Scientists 431 Intersections of Culture and Mathematics Math 301 F 432 Mathematics for College and Secondary Math 301 S Teachers _______________________________________________________________________________________ Postal Address: Department of Mathematics, Washington State University, Pullman, WA 99164-3113 Voice: 509-335-3928 ▪ Fax: 509-335-1188 Email: info@math.wsu.edu URL: http://www.math.wsu.edu Revised: Fall 2014 25 Course # 440 Course Title Applied Math I Prerequisites and Co-requisites Offered Math 315 F, S, s SO 441 Applied Math II (Complex Analysis) Math 315 443 Applied Probability Math 172, 220 448 Numerical Analysis Programming Language & Math 315 453 Graph Theory Math 220 F 456 Introduction to Statistical Theory Math 443 or Stat 430 S 464 Linear Optimization Math 273 466 Optimization in Networks Math 325 or 364 or knowledge of linear 486 Mathematical Modeling in the Natural F F, S S FE programming Math 315 Science _______________________________________________________________________________________ Postal Address: Department of Mathematics, Washington State University, Pullman, WA 99164-3113 Voice: 509-335-3928 ▪ Fax: 509-335-1188 Email: info@math.wsu.edu URL: http://www.math.wsu.edu Revised: Fall 2014 FE 26 11 Program Checklists and Schedule Worksheets 11.1 Other Options Checklist and Schedule Worksheet 11.1.1 Other Options Mathematics BS Checklist Credits Complete Core Math 4 Math 171* ________ 4 2/3 2 3 3 3 3 1 3 3 3 3 3 Math Math Math Math Math Math Math Math Math Math Math Math Math 172/182* 220/230* 273/283* 300 301* 315 360/443 398 401 402 420 421 464 ________ Credits First-Year Experience 3 3 3 ________ 3 3 3 3 ________ ________ ________ ________ 4 4 ________ ________ Math Math Math ______ ______ ______ 3 3 ________ Cpt S 121 ________ Electives ________ ________ ________ ________ ________ ________ ________ ________ ________ ________ ________ ________ CAS Requirement Foreign Language ________ Milestone Writing Portfolio [WRTG] [WRTG] Engl 101 Engl 402/403 ________ ________ ________ ________ _______ ________ Physics 201 ________ ________ ________ [SSCI] [HUM] [ARTS] Additional [SSCI], [HUM], OR [ARTS] [PSCI] [BSCI] with lab with lab ________ ________ ________ ________ [DIVR] [CAPS] ________ Math 464 ________ ________ ________ ________ ________ ________ ________ ________ ________ ________ ________ ________ ________ ________ ________ ________ ________ ________ ________ ________ ________ ________ ________ ________ Additional Math Requirement 4 ________ Integrative and Applied Learning Math Option Electives** 3 3 3 [ROOT] Ways of Knowing ________ ________ History 105/305 Foundational Competencies ________ ________ Complete ________ ________ ________ ________ ________ ________ ________ ________ ________ ________ Other graduation requirements: Minimum of 120 credits including 40 upper division credits, minimum GPA of 2.0, and minimum GPA of 2.0 in courses required for the major. *must earn a C or higher - prerequisite for other courses **Math Option Electives must be discussed with your advisor to ensure they form a coherent program within your chosen option _______________________________________________________________________________________ Postal Address: Department of Mathematics, Washington State University, Pullman, WA 99164-3113 Voice: 509-335-3928 ▪ Fax: 509-335-1188 Email: info@math.wsu.edu URL: http://www.math.wsu.edu Revised: Fall 2014 27 11.1.2 Other Mathematics Options Required and Suggested Courses Actuarial Science Option Required: Math 360, 416, 423, and 443 Suggested: Acctg 230 and 231, EconS 101 and 102, Fin 325 and 350, and Math 448 and 456 provide additional background for actuarial exams. A new course, Math 490: Statistical Applications in Insurance, provides additional preparation for the first two actuarial exams. Applied Mathematics Option Required: At least three upper-division courses in mathematics that form a coherent program within the Applied Mathematics option as approved by your advisor. Three suggested tracks are: Operations Research Required: Math 364 and two of Math 325, 416, 448, 453, 456, or 466. Computational Math Required: Cpt S 122; Math 364, 448 and one of Math 416, 440, or 466. Mathematical Modeling Option Required: Three of Math 340, 415, 440, 448, and 486. Two of Math 364, 416, 423, or 441 are also recommended. A minor in an applied subject area, chosen in consultation with an advisor, is also strongly recommended. Theoretical Mathematics Option Required: Three of Math 302, 325, 403, 415, 441, or 453. _______________________________________________________________________________________ Postal Address: Department of Mathematics, Washington State University, Pullman, WA 99164-3113 Voice: 509-335-3928 ▪ Fax: 509-335-1188 Email: info@math.wsu.edu URL: http://www.math.wsu.edu Revised: Fall 2014 28 11.1.3 Other Options Course Schedule Note: The table below shows the schedule for the courses in each option. Courses in italics are only offered once every two years, so careful planning is required to schedule these courses in the correct semester. Courses form the “choose x of” lists are in parentheses. Option Actuarial Sciences Applied MathComputational Math Applied Math-Math Modeling Applied MathOperations Research Theoretical Math Fall Odd Years 360, 416, 443 364, 448, (416, 440) (440, 448) Spring Even years 360, 423, 443, 456 364, 448, (440, 464) (340, 415, 440, 448) Fall Even Years 360, 416, 443 364, 448, (416, 440, 466) (440, 448, 486) Spring Odd Years 360, 423, 443, 456 364, 448, (440, 464) (340, 440, 448) 364, (325, 416, 448, 453) (325, 403, 453) 364, 464, (448, 456) (415) 364, (325, 416, 448, 453, 466) (325, 403, 453) 364, 464, (448,456) (302, 441) _______________________________________________________________________________________ Postal Address: Department of Mathematics, Washington State University, Pullman, WA 99164-3113 Voice: 509-335-3928 ▪ Fax: 509-335-1188 Email: info@math.wsu.edu URL: http://www.math.wsu.edu Revised: Fall 2014 29 11.1.4 Other Options Schedule Worksheet First Year Fall History 105 [ROOT] (UCORE) Math 171 [QUAN] (UCORE) English 101 [WRTG] (UCORE) [BSCI] with lab (UCORE/CAS) Credits 3 4 3 4 Spring Math 172 Math 220/230 CPT S 121 [SSCI] (UCORE) 2 [ARTS] (UCORE) Credits 4 2/3 4 3 3 Second Year Fall Math 273 Math 301 Physics 201 [PSCI] (UCORE/CAS) [HUM] (UCORE) Elective3,4 Credits 2 3 4 3 3 Spring Math 315 Math 360 Math 398 [SSCI, HUM, or ARTS] CAS)2 Elective4 Elective4 Complete Writing Portfolio Credits 3 3 1 3 3 3 Third Year Fall Math 300 Math 420 Math Option Course1 [DIVR] (UCORE) Elective4 Credits 3 3 3 3 3 Spring Math 421 Math Option Course1 English 402 [WRTG] Elective4 Elective4 Credits 3 3 3 3 3 Fourth Year Fall Math 401 Math Option Course1 Elective4 Elective4 Elective4 Credits 3 3 3 3 3 Spring Math 402 Math 464 [CAPS] (UCORE) Elective4 Elective4 Elective4 Credits 3 3 3 3 3 _______________________________________________________________________________________ Postal Address: Department of Mathematics, Washington State University, Pullman, WA 99164-3113 Voice: 509-335-3928 ▪ Fax: 509-335-1188 Email: info@math.wsu.edu URL: http://www.math.wsu.edu Revised: Fall 2014 30 Note: Some math courses are offered every other year. Some of you will take these courses in your junior year, while others will take them as seniors. The Mathematics Options Course Schedule should be used to plan your last two years of study so that you do not miss any of the courses you need in your program. 1 See Mathematics Options list for required option courses. 2 Actuarial Science Option students should take Econ 101, 102. 3 Computational Mathematics Option students must take Cpt S 122. 4 See Mathematics Options list for suggested electives. _______________________________________________________________________________________ Postal Address: Department of Mathematics, Washington State University, Pullman, WA 99164-3113 Voice: 509-335-3928 ▪ Fax: 509-335-1188 Email: info@math.wsu.edu URL: http://www.math.wsu.edu Revised: Fall 2014 31 11.2 Secondary Teaching Option with Certification Checklist and Schedule Worksheet 11.2.1 Secondary Teaching Option with Certification Checklist Credits Complete Core Math 4 Math 171* ________ 4 3 2/3 2 3 3 3 3 3 3 1 3 3 3 3 Math Math Math Math Math Math Math Math Math Math Math Math Math Math Math 172/182* 216 220/230* 273/283* 300 301* 315 320/421 330 360/443 398 401 403 431 432 ________ ______ ______ ________ ________ ________ ________ ________ ________ ________ ________ Math Math ________ ________ ________ ________ ________ [ROOT] ________ Foundational Competencies 3 3 [WRTG] [WRTG] Engl 101 Engl 201/301 ________ Psych 105 ________ ________ _______ ________ Physics 201 ________ ________ ________ Math 432 ________ ________ Ways of Knowing 3 3 3 3 [SSCI] [HUM] [ARTS] Additional [SSCI], [HUM], OR [ARTS] 4 4 [PSCI] [BSCI] with lab with lab ________ ________ ________ ________ Integrative and Applied Learning 3 3 [DIVR] [CAPS] ________ T&L Courses ________ ________ Milestone Writing Portfolio 3 History 105/305 ________ CAS Requirement Foreign Language Complete First-Year Experience ________ Math Electives** 3 3 Credits ________ 3 2 T&L T&L 301 317 ________ 3 T&L 464 ________ 3 T&L 465 2 T&L 466 ________ 3 T&L 467 ________ 3 EdPsy 468 2 T&L 469 3 T&L 470 ________ 16 T&L 415 ________ ________ Block 1 Block 2 ________ ________ ________ Other graduation requirements: Minimum of 120 credits including 40 upper division credits, minimum GPA of 2.0, and minimum GPA of 2.0 in courses required for the major. *must earn a C or higher - prerequisite for other courses **Math Electives must be 3-credit Math courses numbered above 300 _______________________________________________________________________________________ Postal Address: Department of Mathematics, Washington State University, Pullman, WA 99164-3113 Voice: 509-335-3928 ▪ Fax: 509-335-1188 Email: info@math.wsu.edu URL: http://www.math.wsu.edu Revised: Fall 2014 32 Notes: ·Apply to the Teaching and Learning program one semester before you are ready to take Block 1. ·It is preferred that you take all Block 1 courses during the same semester. Similarly, it is preferred that you take all Block 2 courses during the same semester. ·TCH_LRN 469 must be taken the semester immediately before student teaching. _______________________________________________________________________________________ Postal Address: Department of Mathematics, Washington State University, Pullman, WA 99164-3113 Voice: 509-335-3928 ▪ Fax: 509-335-1188 Email: info@math.wsu.edu URL: http://www.math.wsu.edu Revised: Fall 2014 33 11.2.2 Secondary Mathematics Teaching Option with Certification Schedule Worksheet First Year Fall History 105 [ROOT] Math 171 [QUAN] English 101 [WRTG] (UCORE) [BSCI] with lab (UCORE/CAS) Credits 3 4 3 4 Spring Math 172 Math 220/230 PSYCH 105 [SSCI] (UCORE) [HUM] (UCORE) Credits 4 2/3 3 3 Second Year Fall Math 273 Math 216 Physics 201 [PSCI] (UCORE/CAS) English 201 [WRTG] (UCORE) Credits 2 3 4 3 APPLY for Math Department certification Summer TCH LRN 317* Spring Math 301 Math 315 Math 398 [ARTS] (UCORE) TCH LRN 301 Complete Writing Portfolio Credits 3 3 1 3 3 Spring Math 320 Math 360 Math Elective [DIVR] (UCORE) Credits 3 3 3 3 Credits 2 Third Year Fall Math 300 Math 330 Math 403 [SSCI, HUM, or ARTS] (CAS) Math Elective Credits 3 3 3 3 3 APPLY to Teaching and Learning program Fourth Year Fall Math 401 Math 431 TCH LRN 464 TCH LRN 465 TCH LRN 466 Credits 3 3 3 3 2 Spring Math 432 [CAPS] (UCORE) TCH LRN 467 ED PSYCH 468 TCH LRN 469** TCH LRN 470 Credits 3 3 3 2 3 Fifth Year Fall TCH LRN 415 (Student Teaching) Credits 16 *Summer only course. ** Must be taken in the semester immediately before student teaching. _______________________________________________________________________________________ Postal Address: Department of Mathematics, Washington State University, Pullman, WA 99164-3113 Voice: 509-335-3928 ▪ Fax: 509-335-1188 Email: info@math.wsu.edu URL: http://www.math.wsu.edu Revised: Fall 2014 34 11.3 Secondary Teaching Option without Certification Checklist and Schedule Worksheet 11.3.1 Secondary Teaching Option without Certification Checklist Credits Complete Core Math 4 Math 171* ________ 4 3 2/3 2 3 3 3 3 3 3 1 3 3 3 3 Math Math Math Math Math Math Math Math Math Math Math Math Math Math Math 172/182* 216 220/230* 273/283* 300 301* 315 320/421 330 360/443 398 401 403 431 432 ________ ________ ________ ________ ________ ________ ________ ________ Math Math ________ ________ ________ ________ ________ [ROOT] ________ Foundational Competencies 3 3 [WRTG] [WRTG] Engl 101 Engl 201/301 ________ Psych 105 ________ ________ _______ ________ Physics 201 ________ ________ ________ Ways of Knowing 3 3 3 3 4 4 [SSCI] [HUM] [ARTS] Additional [SSCI], [HUM], OR [ARTS] [PSCI] [BSCI] with lab with lab ________ ________ ________ ________ Integrative and Applied Learning 3 3 [DIVR] [CAPS] ________ Math 432 ________ ________ Electives ______ ______ ________ ________ ________ Milestone Writing Portfolio 3 History 105/305 ________ CAS Requirement Foreign Language Complete First-Year Experience ________ Math Electives** 3 3 Credits ________ ___ ___ ___ __________________________ __________________________ __________________________ ________ ________ ________ ___ __________________________ ________ ___ ___ ___ ___ ___ ___ __________________________ __________________________ __________________________ __________________________ __________________________ __________________________ ________ ________ ________ ________ ________ ________ Other graduation requirements: Minimum of 120 credits including 40 upper division credits, minimum GPA of 2.0, and minimum GPA of 2.0 in courses required for the major. *must earn a C or higher - prerequisite for other courses **Math Electives must be 3-credit Math courses numbered above 300 _______________________________________________________________________________________ Postal Address: Department of Mathematics, Washington State University, Pullman, WA 99164-3113 Voice: 509-335-3928 ▪ Fax: 509-335-1188 Email: info@math.wsu.edu URL: http://www.math.wsu.edu Revised: Fall 2014 35 11.3.2 Secondary Mathematics Teaching Option without Certification Schedule Worksheet First Year Fall History 105 [ROOT] Math 171 [QUAN] English 101 [WRTG] (UCORE) [BSCI] with lab (UCORE/CAS) Credits 3 4 3 4 Spring Math 172 Math 220/230 PSYCH 105 [SSCI] (UCORE) [HUM] (UCORE) [ARTS] (UCORE) Credits 4 2/3 3 3 3 Second Year Fall Math 273 Math 216 Physics 201 [PSCI] (UCORE/CAS) English 201 [WRTG] (UCORE) [DIVR] (UCORE) Credits 2 3 4 3 3 APPLY for Math Department certification Spring Math 301 Math 315 Math 398 [SSCI, HUM, or ARTS] (CAS) elective elective Complete Writing Portfolio Credits 3 3 1 3 3 3 Third Year Fall Math 300 Math 330 Math 403 elective elective Credits 3 3 3 3 3 Spring Math 320 Math 360 Math Elective elective elective Credits 3 3 3 3 3 Fourth Year Fall Math 401 Math 431 elective elective elective Credits 3 3 3 3 3 Spring Math 432 [CAPS] (UCORE) Math Elective elective elective elective Credits 3 3 3 3 3 _______________________________________________________________________________________ Postal Address: Department of Mathematics, Washington State University, Pullman, WA 99164-3113 Voice: 509-335-3928 ▪ Fax: 509-335-1188 Email: info@math.wsu.edu URL: http://www.math.wsu.edu Revised: Fall 2014