University of South Carolina Aiken Department of Mathematical Sciences Computer Science, Engineering, and Mathematics A Guide for Majors Mathematics/Computer Science and Industrial Mathematics 2015-2016 471 University Parkway, Aiken, SC 29801 (803) 641-3446 (803) 278-1967 (ext. 3446) Fax:(803)641-3726 URL: www.usca.edu/math Department of Mathematical Sciences A Guide for Mathematics/Computer Science and Industrial Mathematics Majors Table of Contents Page 3-4 Mission Statement and Curricula 5-6 Mathematics/Computer Science Check List Sample Programs of Study (Mathematics/Computer Science) 7-10 Industrial Mathematics Check List 11-12 13 Sample Programs of Study (Industrial Mathematics ) 14-15 Department Faculty 16 Employment Opportunities and Support Services 17-23 Course Descriptions 24 Notes 2 Department of Mathematical Sciences A Guide for Mathematics/Computer Science and Industrial Mathematics Majors 2015-2016 Mission Statement The mission of the Department of Mathematical Sciences is to provide students with an understanding and an appreciation of mathematics and the related areas of computer science, engineering. To this end, the Department: (a) provides students throughout the University with training in thinking analytically through problem-solving activities and in communicating effectively using graphical and numeric symbols; (b) provides instruction for the first two years of the USC engineering program; (c) provides the mathematical background for pre-service and continuing elementary school teachers and secondary school mathematics teachers; (d) provides Mathematics/Computer Science and Industrial Mathematics majors with background for graduate studies or preparation for careers in the mathematical sciences. In addition, the Department seeks to foster the study, learning and appreciation of the mathematical sciences among pre-college students through outreach activities. Introduction USCA offers Bachelor of Science degrees in Mathematics/Computer Science and Industrial Mathematics. The Bachelor of Science in Mathematics/Computer Science degree is designed with flexibility to provide academically sound training in mathematics and computer science which will enable graduates of this program either to continue their education in graduate studies or to find suitable employment. Employment opportunities for graduates exist mainly in the computer services industry, both locally and nationwide. The Bachelor of Science degree in Industrial Mathematics prepares mathematically oriented students for careers in industry. Graduates of the program will be prepared for immediate employment in the various technical industries in the Central Savannah River Area. Curricula In pursuing the B.S. in Mathematics/Computer Science, students will complete a set of courses that fulfills the general education requirements, a set of mathematics and computer science courses that comprises the major, and several hours of elective courses. Students are allowed the flexibility to choose a general advisement track or a computer science advisement track to satisfy major requirements. Two important areas of the Mathematics/Computer Science curriculum are computer science and mathematics. Students take courses which will assure competence in at least one of the major computer languages in use today. Furthermore, students become proficient in algorithmic design, numerical analysis, and systems analysis. Students are also provided with mathematics courses giving a strong mathematical foundation on which computer science is based. In addition, the curriculum covers all of the modern knowledge of mathematics required for graduate study in mathematics. Finally, students are given training in logical problem 3 solving. This last skill is one of the most important and valuable assets an individual can present to an employer. In pursuing the B.S. in Industrial Mathematics, students will complete a set of courses that fulfills the general education requirements, a set of courses in mathematics and computer science, engineering and engineering technology, and several hours of elective courses. A required internship in a supporting industry provides real experience that prepares students for immediate employment after graduation. A foreign language and science are also included in each curriculum. Although not specifically stated, French or German is recommended as the foreign language and physics is the recommended science. Students are also provided free elective courses that allow the student to expand their knowledge into other areas of study in which they are interested. Students can select from courses in business, the humanities, history and political science, natural science, engineering, or other mathematics and computer science courses. Courses in finance and accounting will be especially valuable to Mathematics/Computer Science majors who plan to seek employment after graduation. Further courses in computer science will also be valuable. For example, students should make themselves proficient in the programming languages C, or JAVA. Exactly where a student begins studies in a program depends upon preparation. Preparation in mathematics may be assessed by the Mathematics Placement Test. Students who have scored 3 or higher on one of the ETS administered AP Examinations may be awarded college credit for certain courses. The following information is designed to serve as a guide in tracking progress through a program. Advisement Students will be assisted in their course selection by a faculty advisor. Students are responsible for seeing that they complete all requirements for their degree. The faculty advisor evaluates progress toward the degree and assists with interpreting and applying major requirements. It is very important that students work with an advisor in pursuing a degree. Students must pursue required courses in the prescribed sequence. Failure to do so may lead to future schedule difficulties. Students may find courses they wish to take either not available or closed to students without advance standing. 4 Bachelor of Science in Mathematics/Computer Science CHECK LIST Student: Bulletin: Placement Score: SS#: Email: Telephone: General Ed Requirements (56-58) Major Requirements (52) (Must earn C or better in all major courses) A. Human Culture, Physical/Nat World (32-34) Term Grade CORE COURSES (25) Term Credit Grade Credit Two Natural Sciences : Biology, Chemistry (CHEM 111, 112), Physics (PHYS 211, 212), Geology, Astronomy (2 Labs) 4 4 MATH 241 MATH 242 MATH 544 CSCI 145 CSCI 146 CSCI 562 MATH or CSCI 590 One History: HIST 101 or 102 3 Two Social/Behavior Sciences * (2 areas) 3 3 Foreign Language (2 sem of same language) 4 4 3 4 4 3 3 GENERAL TRACK (27) 3-4 3-4 MATH 546 or 554 CSCI 220 Three Humanities Courses * (at least 2 areas) 3 3 3 Other MATH or CSCI courses numbered above 300 3 3 21 B. Intellectual and Practical Skills (21) *Critical Inquiry (all freshman) English - ENGL 101 English - ENGL 102 COMM 201 or COMM 241 MATHEMATICS Courses (C or better) MATH 141 MATH 142 MATH 174 1 3 3 3 COMPUTER SCIENCE TRACK (27) 4 4 3 CSCI 220 C. Personal and Social Responsibility (3) 3 And four of {210, 240, 320, 330, 411, 415, 520, 521, 550} 12 Other MATH or CSCI courses above 300 12 POLI 201, HIST 201 or 202 3 Three Writing Intensive Courses (at least one in major) List: One 3-credit Non-Western World Studies Course * (one from Human Cultures/Phys & Nat World courses) List course: Satisfactory Completion of Writing Portfolio (Submitted after 60 hrs, before applying for graduation) ELECTIVES FOR EITHER TRACK (10-12) Date Passed: or ENGL 201: * See next page for list of qualifying courses for listed categories and for information on ICE events. TOTAL HOURS 5 120 HUMANITIES COURSES – At least two areas CRITICAL INQUIRY (bolded numbers indicate that course also qualifies as a Non-Western) Art History (ARTH): 105, 106, 206, 312, 335, 397, 398 Communications (COMM): 351, 352, 353, 450, 455, 462 English (ENGL):281, 282, 283, 284, 285, 286, 288, 289, 290, 291, 295, 301, 362, 385, 389, 390, 391, 392, 393, 394, 395, 401, 405, 407, 411, 412, 415, 416, 417, 419, 423, 424, 425, 426, 427, 428, 430, 431, 435, 449, 474, 491, 494 Foreign Languages, Literatures & Culture: (FREN): 302, 303, 305, 306, 307, 388, 397, 398, 399 (GERM): 303, 305, 395, 397, 398, 399 (SPAN): 303, 308, 319, 320, 321, 340, 380, 388, 397, 399, 426, 488, 498 History (HIST): All history courses. NOTE: If HIST 101 or HIST 102 is used towards the History of Civilization requirement, the same course cannot count for the Humanities requirement. Also, if HIST 201 or HIST 202 is used towards the American Political Institutions requirement, the same course cannot count for the Humanities requirement. Honors (HONS): 101 Humanities (HUMA): 107, 201, 202, 211, 301 Music (MUSC): 173, 175, 371, 372, 374, 393 Philosophy (PHIL): 102, 211, 302, 303, 304, 311, 312, 350, 390, 399 Religion (RELG): 101, 103, 301, 302, 390, 399 Theater (THEA): 161, 361, 362 Freshmen must take Critical Inquiry in their first semester of enrollment at USC Aiken. Students in degree programs which require more than 16 credit hours in the first semester of enrollment may complete Critical Inquiry during their second academic semester. SOCIAL AND BEHAVIORAL SCIENCES COURSES – Two areas 3. _______________________________________ Any courses in the following disciplines: Psychology (PSYC) Sociology (SOCY) (see below for non-western courses) Anthropology (ANTH) (see below for non-western courses) Political Science (POLI) (see below for non-western courses) Geography (GEOG) (see below for non-western courses) Economics (ECON) Honors (HONS): 101 INTER-CURRICULAR ENRICHMENT (ICE) · Undergraduate students will attend at least 2 ICE events per academic semester up to a total of 16 over their 4-year college career. Freshman Convocation will constitute the first ICE event for entering freshman. · Transfer students will complete 2 ICE credits for each academic semester remaining before graduation. · Part-time students will complete 2 ICE events for every 15 hours of completed course credit. · Students participating in Study Abroad programs may earn 2 ICE credits while oversees by participating in pre-approved intercurricular academic events. EVENT TERM 1. _______________________________________ 2. _______________________________________ 4. _______________________________________ 5. _______________________________________ 6. _______________________________________ 7. _______________________________________ 8. _______________________________________ NON-WESTERN qualifying courses Art History (ARTH): 397 Anthropology (ANTH): 102, 315, 352, 490 Communications (COMM): 450 English (ENGL): 291, 385, 435 Foreign Languages, Literatures & Culture (FREN): 303, 306, 388 (SPAN): 303, 320, 321, 380, 388, 397, 426, 488 Geography (GEOG): 102 History (HIST): 345, 346, 347, 361, 362, 366, 423, 447, 492 Music (MUSC): 175 Political Science (POLI): 101, 103, 330, 344, 487, 488, 492 Religion (RELG): 103 Sociology (SOCY): 310 9. _______________________________________ 10. _______________________________________ 11. _______________________________________ 12. _______________________________________ 13. _______________________________________ 14. _______________________________________ 15. _______________________________________ 16. _______________________________________ Sample Program of Study Math/Computer Science Major (mathematics option, well-prepared student) Freshman (30): Fall MATH 141 CSCI 145 ENGL 101 HIST 10X Elec Sophomore (31): Fall MATH 241 MATH 174 CSCI 220 FL Elec Junior (32): Senior (27): Fall MATH 544 MATH/CSCI Hum Elec Nat Sci Fall MATH/CSCI MATH/CSCI Soc Sci Hum Elec Spring MATH 142 CSCI 146 ENGL 102 POLI 201 Elec 4 4 3 3 1 15 Spring MATH 242 MATH/CSCI FL COMM 4 3 3 4 3 17 Spring MATH 546/554 CSCI 562 MATH/CSCI Hum Nat Sci 3 3 3 3 4 16 Spring MATH/CSCI 590 MATH/CSCI MATH/CSCI Soc Sci 3 3 3 3 3 15 Total (120) 7 4 4 3 3 1 15 4 3 4 3 __ 14 3 3 3 3 4 16 3 3 3 3 __ 12 Sample Program of Study Math/Computer Science Major (mathematics option) Freshman (30): Fall MATH 111 MATH 112 ENGL 101 HIST 10X Hum Sophomore (30): Fall MATH 142 CSCI 146 FL POLI 201 Junior (30): Senior (30): Fall MATH 544 MATH 242 CSCI 220 Nat Sci Fall MATH/CSCI MATH/CSCI MATH/CSCI Soc Sci Hum Spring MATH 141 MATH 174 CSCI 145 ENGL 102 Elec 3 3 3 3 3 15 Spring MATH 241 MATH/CSCI FL COMM Elec 4 4 4 3 __ 15 Spring MATH 546/554 CSCI 562 MATH/CSCI Nat Sci Hum 3 3 3 4 __ 14 Spring MATH/CSCI 590 MATH/CSCI MATH/CSCI Soc Sci Elec 3 3 3 3 3 15 4 3 4 3 1 15 4 3 4 3 1 15 3 3 3 4 3 16 3 3 3 3 3 15 Total (120) Students not prepared to enter MATH 111 and MATH 112 in the Fall semester of their Freshman year should not expect to graduate in 4 years without attending summer school. 8 Sample Program of Study Math/Computer Science Major (computer science option, well-prepared student) Freshman (30): Sophomore (31): Junior (32): Senior (27): Fall MATH 141 CSCI 145 ENGL 101 HIST 10X Elec Fall MATH 241 MATH 174 CSCI 220 FL 101 Elec Fall CSCI 411 MATH/CSCI MATH 544 Hum Nat Sci Fall CSCI 520 MATH/CSCI Soc Sci Hum Elec Spring MATH 142 CSCI 146 ENGL 102 CSCI * Elec 4 4 3 3 1 15 Spring MATH 242 CSCI * FL 102 POLI 201 4 3 3 4 3 17 Spring MATH/CSCI CSCI 562 COMM Hum Nat Sci 3 3 3 3 4 16 Spring MATH/CSCI 590 MATH/CSCI Soc Sci Elec 3 3 3 3 3 15 4 4 3 3 1 15 4 3 4 3 __ 14 3 3 3 3 4 16 3 3 3 3 __ 12 Total (120) Upper level computer science courses are offered on a two-year rotation. CSCI 520 may be taken in the Senior year and other upper level MATH/CSCI course taken in the Junior year. If CSCI 330 is not offered in the Spring of the student’s Sophomore year, then the applied speech class, COMM may be taken (or a humanities class). Similarly, any of the Soc Sci/Hum/Elec classes from the Senior year may be interchanged with CSCI 411. *one of the following courses: 210, 240, 320, 330, 411, 415, 520, 521, 550 9 Sample Program of Study Math/Computer Science Major (computer science option) Freshman (30): Sophomore (30): Junior (30): Senior (30): Fall MATH 111 MATH 112 ENGL 101 HIST 10X Hum Fall MATH 142 CSCI 146 FL 101 POLI 201 Fall MATH 544 MATH 242 CSCI 220 Nat Sci Fall CSCI 411 CSCI 520 MATH/CSCI Soc Sci Hum Spring MATH 141 MATH 174 CSCI 145 ENGL 102 Elec 3 3 3 3 3 15 Spring MATH 241 CSCI * FL 102 COMM Elec 4 4 4 3 __ 15 Spring CSCI 240/330/550 CSCI 562 MATH/CSCI Nat Sci Hum 3 3 3 4 __ 14 Spring MATH/CSCI 590 MATH/CSCI MATH/CSCI Soc Sci Elec 3 3 3 3 3 15 Total (120) * One of the following courses: 210, 240, 320, 330, 411, 415, 520, 521, 550 10 4 3 4 3 1 15 4 3 4 3 1 15 3 3 3 4 3 16 3 3 3 3 3 15 Upper level computer science courses are offered on a two-year rotation. Students who enter MATH 111 and MATH 112 in the Fall semester of their Freshman year may not be able to graduate in 4 years without attending summer school. The rotations for 330-411 and 520 also have prerequisite restrictions. Students not prepared to enter MATH 111 and MATH 112 in the fall semester of their Freshman year should not expect to graduate in 4 years. Bachelor of Science in Industrial Mathematics CHECK LIST Student: Bulletin: Placement Score: SS#: Email: Telephone: General Ed Requirements (56-58) Degree Specific Requirements (Must earn C or better in all Major courses) A. Human Culture, Physical/Nat World (32-34) Term Grade Natural Sciences Physics (PHYS 211) Physics (PHYS 212) One History: HIST 101 or 102 MAJOR COURSES 4 4 Grade Credit MATH 241 4 MATH 242 4 MATH 544 3 STAT 509 3 STAT 510 3 MATH 518 3 MATH 519 3 MATH 590 3 CSCI 145 4 CSCI 146 4 CSCI 562 3 ENGINEERING - USCA courses above 200 (12) 3 Two Social/Behavior Sciences * (2 areas) 3 3 Foreign Language (2 sem of same language) 3-4 3-4 Three Humanities Courses * (at least 2 areas) 3 3 3 B. Intellectual and Practical Skills (37) Term Credit (21) *Critical Inquiry (all freshman) English - ENGL 101 English - ENGL 102 COMM 201 or COMM 241 MATHEMATICS Courses (C or better) MATH 141 1 3 3 3 Natural Science (except PHYS 211, 212), computer science (above 200), mathematics (above 300), engineering (ENCP 102 & courses above 200), technical writing or others approved by Department. 4 4 3 MATH 142 MATH 174 C. Personal and Social Responsibility TECHNICAL ELECTIVES * * (11) (3) POLI 201, HIST 201 or 202 3 ELECTIVES (8-10) Three Writing Intensive Courses (at least one in major) List: One 3-credit Non-Western World Studies Course * (one from Human Cultures/Phys & Nat World courses) TOTAL HOURS List course: Satisfactory Completion of Writing Portfolio (Submitted after 60 hrs, before applying for graduation) Date Passed: 126 * * Technical electives may include no more than nine credit hours of engineering technology courses offered by technical colleges and approved by the Department. or ENGL 201: * See next page for list of qualifying courses for above categories and for information on ICE events. HUMANITIES COURSES – At least two areas (bolded numbers indicate that course also qualifies as a Non-Western) Art History (ARTH): 105, 106, 206, 312, 335, 397, 398 Communications (COMM): 351, 352, 353, 450, 455, 462 English (ENGL):281, 282, 283, 284, 285, 286, 288, 289, 290, 291, 295, 301, 362, 385, 389, 390, 391, 392, 393, 394, 395, 401, 405, 407, 411, 412, 415, 416, 417, 419, 423, 424, 425, 426, 427, 428, 430, 431, 435, 449, 474, 491, 494 Foreign Languages, Literatures & Culture: (FREN): 302, 303, 305, 306, 307, 388, 397, 398, 399 (GERM): 303, 305, 395, 397, 398, 399 (SPAN): 303, 308, 319, 320, 321, 340, 380, 388, 397, 399, 426, 488, 498 11 History (HIST): All history courses. NOTE: If HIST 101 or HIST 102 is used towards the History of Civilization requirement, the same course cannot count for the Humanities requirement. Also, if HIST 201 or HIST 202 is used towards the American Political Institutions requirement, the same course cannot count for the Humanities requirement. Honors (HONS): 101 Humanities (HUMA): 107, 201, 202, 211, 301 Music (MUSC): 173, 175, 371, 372, 374, 393 Philosophy (PHIL): 102, 211, 302, 303, 304, 311, 312, 350, 390, 399 Religion (RELG): 101, 103, 301, 302, 390, 399 Theater (THEA): 161, 361, 362 INTER-CURRICULAR ENRICHMENT (ICE) · Undergraduate students will attend at least 2 ICE events per academic semester up to a total of 16 over their 4-year college career. Freshman Convocation will constitute the first ICE event for entering freshman. · Transfer students will complete 2 ICE credits for each academic semester remaining before graduation. · Part-time students will complete 2 ICE events for every 15 hours of completed course credit. · Students participating in Study Abroad programs may earn 2 ICE credits while oversees by participating in pre-approved intercurricular academic events. EVENT SOCIAL AND BEHAVIORAL SCIENCES COURSES – Two areas TERM 1. _______________________________________ Any courses in the following disciplines: Psychology (PSYC) Sociology (SOCY) (see below for non-western courses) Anthropology (ANTH) (see below for non-western courses) Political Science (POLI) (see below for non-western courses) Geography (GEOG) (see below for non-western courses) Economics (ECON) Honors (HONS): 101 2. _______________________________________ 3. _______________________________________ 4. _______________________________________ 5. _______________________________________ NON-WESTERN qualifying courses 6. _______________________________________ Art History (ARTH): 397 Anthropology (ANTH): 102, 315, 352, 490 Communications (COMM): 450 English (ENGL): 291, 385, 435 Foreign Languages, Literatures & Culture (FREN): 303, 306, 388 (SPAN): 303, 320, 321, 380, 388, 397, 426, 488 Geography (GEOG): 102 History (HIST): 345, 346, 347, 361, 362, 366, 423, 447, 492 Music (MUSC): 175 Political Science (POLI): 101, 103, 330, 344, 487, 488, 492 Religion (RELG): 103 Sociology (SOCY): 310 7. _______________________________________ 8. _______________________________________ 9. _______________________________________ 10. _______________________________________ 11. _______________________________________ 12. _______________________________________ 13. _______________________________________ CRITICAL INQUIRY 14. _______________________________________ Freshmen must take Critical Inquiry in their first semester of enrollment at USC Aiken. Students in degree programs which require more than 16 credit hours in the first semester of enrollment may complete Critical Inquiry during their second academic semester. 15. _______________________________________ 16. _______________________________________ Sample Program of Study Industrial Mathematics Major 12 Freshman (32): Sophomore (32): Junior (30): Senior (32): Fall MATH 141 CSCI 145 ENGL 101 HIST 10X Elec Fall MATH 241 MATH 174 PHYS 211 COMM Hum Fall MATH 518 MATH 544 STAT 510 FL Soc Sci Fall ENCP ENCP Tech Elec Hum Elec Spring MATH 142 CSCI 146 ENGL 102 HIST 10X Soc Sci 4 4 3 3 1 15 Spring MATH 242 STAT 509 PHYS 212 Hum Elec 4 3 4 3 3 17 Spring MATH 519 CSCI 562 Tech Elec FL Elec 3 3 3 4 3 16 Spring ENCP ENCP Tech Elec MATH 590 Elec 3 3 4 3 3 16 4 4 3 3 3 17 4 3 4 3 1 15 3 3 3 4 1 14 3 3 4 3 3 16 Total (126) The Tech Elec in the Spring term of Junior year is intended to be an internship in industry, unless the student has appropriate industrial experience. The Tech Elec in the Fall and Spring of the Senior year may be two additional natural science courses. Rev 6/09 Department of Mathematical Sciences Department Chair Dr. Mohammad Hailat Administrative Assistant Jeanie Griffin Faculty 13 2015-2016 The Department of Mathematical Sciences includes mathematics, computer science, engineering, and industrial math. The faculty therefore consists of several professors who are able to teach two or more of these areas. The faculty is also a culturally diverse group of people having come from different parts of the world. In addition to being dedicated and conscientious teachers, a number of the faculty are also engaged in research work. The following are the full time faculty members of the department. HANI ABUSALEM, professor, holds a Ph.D. in computer science from the Illinois Institute of Technology in Chicago, Illinois. He received his MS degree in computer science from Western Michigan University in Kalamazoo, Michigan, and his BS in computer science from Yarmouk University, Irbid Jordan. Dr. Abusalem comes to USCA from DePaul University in Chicago Illinois. TIELING CHEN, associate professor, comes to USCA from The University of Western Ontario, where he received his Ph.D. in mathematics as well as a MS degree in computer science. Dr. Chen also received MS and BS degrees in computer science from Xiangtan University in China. KOFFI FADIMBA, associate professor, has a Ph.D. in applied mathematics from the University of South Carolina and received his MA and BS degrees in mathematics from the University of Bordeaux I in Talence, France. He comes to USCA from The University of Rhode Island. BETHANY FRALICK, assistant professor, received both her Ph.D., and M.S., degree in mechanical engineering from the University of South Carolina. Her B.S., is in engineering management, manufacturing specialty from Miami University. Dr. Fralick is currently developing USCA’s new four year engineering degree program in Industrial Processing, which will begin in the Fall of 2015. CYNTHIA GONZALEZ, senior instructor, comes to USCA from Florida Community College at Jacksonville, Jacksonville Florida. She received MS and BS degrees in mathematics from the University of Charleston, Charleston SC. MOHAMMAD HAILAT, professor, comes to USCA from Jordan University of Science and Technology, Irbid, Jordan. He holds a Ph.D. in mathematics from The University of Michigan. Dr. Hailat also received a MS in mathematics and a MS in industrial and operation engineering from the University of Michigan. He received a BS in mathematics from Jordan University in Amman, Jordan. Dr. Hailat is Chair of the Department of Mathematical Sciences at USCA. PAUL ILUKOR, instructor, comes to USCA from Clemson University, where he earned a MS degree in mathematics. Paul was also an avid soccer player while attending Clemson University. He received his BS in mathematics at St. John Fisher College in Rochester New York. DAVID JASPERS, senior instructor, has a M.S. in mathematics from the University of South Carolina (Columbia). He teaches calculus, lower level math courses and the introductory statistics course. David is originally from Ohio. REGINALD KOO, professor, has a Ph.D. in mathematics from the University of South Carolina Columbia. He teaches all levels of mathematics. He is our analysis expert. Dr. Koo hails from Trinidad and Tobago. RAO LI, professor, has a Ph.D. in mathematics and a M.S. degree in computer science from the University of Memphis. Dr. Li also holds M.A. degrees in mathematics from the University of Pittsburg and from the Harbin Institute of Electrical Technology in China. He comes to USCA from Americus, Georgia, via China. 14 ZHENHENG LI, associate professor, comes to USCA from the University of Western Ontario in London Ontario, Canada, where he received his Ph.D. in mathematics and a M.S. degree in computer science. Dr. Li also holds an M.S. in mathematics from Xiangtan University in China and a B.S. in mathematics from Hebei Normal College in China. JANICE OVERSTREET, instructor, received her MS in Statistics and her BS in Secondary Math Education, from the University of South Carolina. Janice has also taught statistics as an adjunct instructor at the Columbia campus. DAVID RAMSEY, instructor, received his B.A. from State University of New York at Stoneybrook and his M.A. in Mathematics from S.U.N.Y. at Albany. In addition to his love for teaching mathematics, he also has a passion for the martial arts. THOMAS REID, assistant professor, received his Ph.D. in operations research from the University of North Carolina. Dr. Reid comes to us from the Air Force Institute of Technology where he also received his MS degree in operations research. He received his BS degree in mathematics from the University of Oklahoma. YILIAN ZHANG, associate professor, comes to us from the University of Rochester New York, where she received her Ph.D. in mathematics and her MS degree in computer science. Dr. Zhang also received BS and MS degrees in applied mathematics from Beijing Normal University in China. 15 Employment Opportunities There are many opportunities for employment within the Department. The Department hires tutors and testers for math structured tutorials, calculus helpers, computer science lab assistants, and technical computer assistants. The Math Learning Center provides an excellent work and strengthening opportunity for good math students. Those who are interested may wish to work as a student assistant for the Computer Services Division. Cooperative Education experience is also available for Math/Computer Science majors. Cooperative Education is a method of education that allows students to alternate between school and employment based on the student's academic schedule. The program operates to maximize a student’s academic career with relevant professional work experience. Support Services The Math/Computer Science Club is designed for all students who are required to take at least one calculus course to fulfill their core requirements. The Club participates in community and campus events while promoting the education of its members. The Math Lab, operated by the Academic Success Center, offers free peer tutoring in mathematics. It is a friendly, relaxed, informal atmosphere, where the staff works individually with students or in small group sessions. The Writing Center, operated by the Academic Success Center, offers tutorial help to those who have problems of any kind with writing. Students are welcome to use the lab on a "drop-in" basis or as a regular adjunct to their semester courses. The Student Counseling Center provides personal counseling for USCA students. Services are free, and focus on study skills, career decisions, depression, college adjustments, communications skill, etc. All counseling is strictly confidential. The faculty, support staff, and collections of the Gregg-Graniteville Library comprise an integral part of USCA's instructional program. The library, which uses the most up-to-date computerized library technology, houses a large collection of math and computer science volumes. Hints for Success Nothing can take the place of hard work and commitment. - For each hour in class plan to spend at least 2-4 hours outside of class (studying, preparing assignments, reading, etc.) - Always attend classes. - Ask, if you have questions. - Seek help from your professor as often as necessary. - Don't procrastinate. - Group study is very helpful. Remember, learning is your responsibility! 16 Course Descriptions Computer Science (CSCI) 101 Introduction to Computer Concepts. (3) Capabilities and limitations of computers, programming in BASIC, history and development of modern computers, components of a computer system, computer jargon, machine language, software demonstration and evaluation. Intended primarily for nonmathematics/computer science majors. Open only to those students who have not previously completed a computer course. 102 Computer Applications and Programming. (3) (Prereq: grade of C or better in MATH 108 or Department permission). Introduction to systematic computer problem-solving using a procedural language. Emphasis is placed upon algorithm development and program implementation. This course also provides exposure to applications such as spreadsheets, database management, and WebPage design leading to an advanced level of competency. The course is intended to students who are already familiar with the basic use of computers for non-calculating purposes (word-processing, use of the internet, email, etc.) and who desire a background in computer solutions to practical problems. 145 Introduction to Algorithmic Design I. (4) (Prereq: by mathematics placement above MATH 111, or completion of either MATH 111 or 170 with a grade of C or better, or Department permission. Designing algorithms and programming in a procedural language. Three hours of lectures and three hours of laboratory per week. 146 Introduction to Algorithmic Design II. (4) (Prereq: grade of C or higher in CSCI 145) A continuation of CSCI 145. Rigorous development of algorithms and computer programs; elementary data structures. Three hours of lectures and three hours of laboratory per week. 209 Topics in Computer Programming . (3) (Prereq: consent of instructor) Programming and application development using selected programming languages. Course content varies and will be announced in the schedule of classes by suffix and title. 210 Computer Organization and Assembly Language. (3) (Prereq: completion of CSCI 145 with a grade of C or better) Introduction to computer organization and architecture; Topics will include: Data representation, assembler language programming, logic unit, processor architecture, memory hierarchy, Input and Output systems. 220 Data Structures and Algorithms. (3) (Prereq: grade of C or better in MATH 174 and CSCI 146, or Department permission.) Theory and advanced techniques for representation of information. Abstract data types: lists, stacks, queues, sets, trees, and graphs. Algorithms for sorting, searching, and hashing. 240 Introduction to Software Engineering (3) Prereq; grade of C or better in CSCI 145 This course introduces basic knowledge about software engineering, including principles and techniques of software design, software construction, software testing, and software maintenance. 320 Practical Java Programming. (3) (Prereq: grade of C or better in CSCI 145) Additional topics in the language of Java: graphics, colors, fonts, events, layout managers, graphics user interfaces, applets, exceptional handling, multithreading, multimedia. 330 Programming Language Structures. (3) (Prereq: Grade of C or better in CSCI 220) Formal specification syntax and semantics; structure of algorithms; list processing and string manipulation languages; statement types, control structures, and interfacing procedures. 340 Mobile Computing. (3) (Prereq: Grade of C or better in CSCI 146 or Department permission.) The study of basic concepts and programming skills of mobile computing. Topics include: user interfaces, layouts, events and event handling, graphics, images, animations, multimedia, 2D game development, data persistence, and networking. 376 Graph Theory for Computer Science. (3) (Prereq: Grade of C or better in CSCI 146 and MATH 174) An algorithmic introduction to Graph Theory and its applications. Topics include: fundamental concepts for graphs, connectivity, matrices of graphs, trees, paths and cycles, matchings, graph colorings, and planar graphs. 399 Independent Study. (3-9) (Prereq: Department permission) Directed independent project. 411 Operating Systems. (3) (Prereq: a grade of C or better in CSCI 220) Basic concepts and terminology of operating systems. Process implementation, synchronization, memory management, protection, resource allocation, system modeling, pragmatic aspects, case studies. 415 Data Communication and Computer Networks. (3) (Prereq: Grade of C or better in CSCI 220.) The study of concepts and components in data communications and computer networks. Topics will include data transmission, reference models, common network protocols, network applications and technologies. 492 Topics in Computer Science. (3) (Prereq: Department permission) Study of selected topics in computer science. To be offered as a lecture course on a "demand basis" only. 520 Database System Design. (3) (Prereq: grade of C or better in CSCI 220) Database organization; design and use of database management systems; database models, including network, hierarchical and relational; data description languages, data independence and representation. 521 Database Programming for Computer Science (4) (Prereq: grade of C or better in CSCI 520). A Programming course in large-scale relational database environment using host languages. Database design and implementation of online applications using some of the programmatic extensions to Structured Query Language (SQL) supported by top of the line enterprise Relational Database Management Systems (RDBMS). Topics covered in this course include: database programming using open architectures, embedded and dynamic query languages, procedural extension of query languages, stored procedures and triggers, data transformation techniques to enhance interoperability of data, and introduction to extensible markup data definition and retrieval languages. 550 Design and Analysis of Algorithms. (3) (Prereq: grade of C or better in CSCI 220 and MATH 141) An introduction to the design and analysis of fundamental algorithms in computer science. The algorithmic design paradigms such as the greedy method, divide and conquer, dynamic programming, backtracking, and branch-and-bound. The analyses of algorithms from different areas such as searching, sorting, graph theory, combinatorial optimization, and computational geometry. An introduction to the theory of NPcompleteness. 18 562 Numerical Methods. (3) (Prereq: grade of C or better in MATH 242 and MATH 544 or Department permission, and a working knowledge of programming) An introduction to numerical methods used in solving equations and systems of equations, numerical integration, differential equations, interpolation and approximation of functions. 590 Math/CS Capstone Seminar. [=MATH 590](3) (Prereq: Senior standing in Math/CS, Industrial Math, or Math Ed major, or Department permission). Intended primarily for Math/CS, Industrial Math, and Math Ed Majors. Each student is required to do an in-depth study of some topic to be presented orally and in writing in class, and to participate in the discussion and debate of topics presented by other students. Topics will be tied together under a common theme chosen by the faculty. Mathematics (MATH) 103 Mathematics in Society (3) Contemporary mathematical thinking is emphasized through the study of consumer finance and financial management, counting methods and probability, and an introduction to statistics and its uses in today’s world. Appropriate technology will be used to support the course. MATH 103 and MATH 104 may be taken in any order. 104 Mathematics for Practical Purposes. (3) The study of number theory, set theory, linear equations and inequalities, quadratic and exponential functions and their uses in the real world. Appropriate technology will be used to support the course. MATH 103 and MATH 104 may be taken in any order. 108 Applied College Algebra. (3) (Prereq: by appropriate score on the mathematics placement exam or by Department permission. Completing MATH 104 with a grade of C or better can satisfy the placement exam requirement). Study of functions and graphical methods with the aid of technology. Topics include linear, quadratic, exponential, and other functions; solving equations; properties of logarithms and exponents. Emphasis will be on using algebra as a language for expressing problems and using algebraic and graphical methods for solving problems, data analysis, and other applications. Required graphing calculator specified in course schedule. (Four hours per week typically divided into 2 hours lecture and 2 hours collaborative learning, discussion, and exploratory activities.) 111 Precalculus Mathematics I. (3) (Prereq: by placement, or grade of C or better in MATH 108, or Department permission; may be taken concurrently with MATH 112) Topics in algebra specifically needed for MATH 141, 142, 241: the study of equations and inequalities, graphs, functions and inverse functions, conic sections, zeros of polynomials, and systems of equations and inequalities. 112 Precalculus Mathematics II. (3) (Prereq: by placement, or grade of C or better in MATH 108, or Department permission; may be taken concurrently with but not before MATH 111) Topics in trigonometry specifically needed for MATH 141, 142, 241: trigonometric functions and their applications. Includes the study of complex numbers, vectors and polar coordinates. 122 Survey of Calculus with Applications. (3) (Prereq: by placement, or grade of C or better in MATH 108, or Department permission). An intuitive approach to the concepts and applications of differential calculus through the study of rates of change and their interpretations, using data-driven, technology-based modeling. Topics include linear, quadratic, cubic, exponential, and logistic models for discrete data; rates of change; calculating derivatives; interpreting derivatives as rates of change; relating first and second derivatives to graphs; and optimization. (Not intended for those who plan to take more than one calculus course). 141 Calculus I. (4) (Prereq: by placement, Department permission, or grade of C or better in 19 MATH 111 and MATH 112) Functions; limits; derivatives of algebraic, trigonometric, exponential, and logarithmic functions; graphical concepts including parametric equations; and introduction to integration. (5 contact hours a week integrating lecture and lab activities). 142 Calculus II. (4) (Prereq: grade of C or better in MATH 141 or Department permission) Integration including change of variable and integration by parts; applications to area and volume. Infinite series including power series, Taylor's formula, and approximations. (5 contact hours a week integrating lecture and lab activities.) 170 Finite Mathematics. (3) (Prereq: by placement, or grade of C or better in MATH 108, or Department permission) Matrices, systems of linear equations, linear programming, permutations and combinations, elementary probability and statistics, mathematics of finance. (A student who earned credit for MATH 121 may not take MATH 170 for credit.) 174 Discrete Mathematics for Computer Science. (3) (Prereq: by mathematics placement above MATH 111, completion of either MATH 111 or MATH 170 with a grade of C or better, or Department permission) Basic mathematics needed for the study of computer science: Propositions and predicates; mathematical induction, sets, relations, Boolean algebra, automata, grammars and languages, computable functions. 221 Basic Concepts of Elementary Mathematics I. (3) The meaning of number, fundamental operations of arithmetic, the structure of the real number system and its subsystems, elementary number theory. Open only to students in elementary education, early childhood education, or others pursuing add-on certification in elementary education. This course cannot be taken for general education mathematics credit by students who are not graduating in the elementary, early childhood or special education programs. MATH 221 and MATH 222 may be taken in any order. 222 Basic Concepts of Elementary Mathematics II. (3) (Prereq: grade of C or better in MATH 108 or Department permission) Informal geometry and basic concepts of algebra. Open only to students in elementary education, early childhood education, or others pursuing add-on certification in elementary education. This course cannot be taken for general education mathematics credit by students who are not graduating in the elementary, early childhood or special education programs. MATH 221 and MATH 222 may be taken in any order. 241 Calculus III. (4) (Prereq: grade of C or better in MATH 142 or Department permission) Vector algebra and vector calculus, including gradients, vector fields, line integrals, multiple integrals, divergence and rotation, Jacobians, and cylindrical and spherical coordinates. 242 Ordinary Differential Equations. (4) (Prereq: grade of C or better in MATH 142 or Department permission) First order and linear higher order ordinary differential equations, systems of equations, Laplace transforms. 399 Independent Study. (3-9) (Prereq: Department permission) Directed independent project. 20 420 History of Mathematics. (3) (Prereq: a grade of C or better in MATH 142 and MATH 174 or Department permission) A survey of the development of mathematics from ancient times to the present with emphasis on the development of algebra, geometry, and calculus, and the contributions of mathematics to advances in science and technology. 492 Topics in Mathematics. (3 each) (Prereq: Department permission) Study of selected mathematical topics. To be offered as a lecture course on a "demand basis" only. 503 Geometry for Middle and High School/General Mathematics Teachers (3) (Prereq: by examination placement above MATH 112, a grade of C or better in MATH 221 or MATH 222, or by a grade of C or better in MATH 111 and MATH 112, or Department permission). Topics include: methods of proofs, concepts and selected theorems of Euclidean geometry with a concentration on proofs/problem-solving using geometric concepts with selected software. Open only to Education majors. 518 Industrial Mathematics I. (3) (Prereq: a grade of C or better in MATH 174 and MATH 544 and STAT 509) The construction of mathematical models for applied problems using discrete mathematics and statistics. This course emphasizes the use of advanced mathematical methods for the solution of "real world" problems arising from an industrial setting. 519 Industrial Mathematics II. (3) (Prereq: a grade of C or better in MATH 242 and MATH 544) The construction of mathematical models for applied problems in terms of ordinary and partial differential equations. This course emphasizes the use of advanced mathematical methods for the solution of "real world" problems arising from an industrial setting. 531 Foundations of Geometry. (3) (Prereq: MATH 241 or Department permission) The study of geometry as a logical system based upon postulates and undefined terms. The fundamental concepts of Euclidean geometry developed rigorously on the basis of a set of postulates. Some topics from non-Euclidean geometry. 544 Linear Algebra. (3) (Prereq: grade of C or better in MATH 241 or Department permission) Vector spaces, linear transformations and matrices, determinants. Systems of equations, inversion, characteristic equations, eigenvectors, eigenvalues, Cayley-Hamilton theorem, quadratic forms, Jordan and rational forms, functions of matrices. 546 Introduction to Algebraic Structures. (3) (Prereq: grade of C or better in both MATH 241 and MATH 174, or Department permission) Sets, mappings, equivalence relations. Elementary properties of semi-groups, groups, rings, fields. 550 Advanced Multivariable Calculus. (3) (Prereq: grade of C or better in MATH 241 or Department permission) Vector calculus of n-variables; implicit and inverse function theorems; extremum problems; Lagrange multipliers; Taylor series; Jacobians; multiple integrals; line integrals; vector fields; surface integrals; theorems of Green, Stokes and Gauss. 552 Complex Variables. (3) (Prereq: A grade of C or better in MATH 241). Complex integration, calculus of residues, conformal mapping, Taylor and Laurent series expansions, applications. 21 554 Introduction to Analysis. (3) (Prereq: MATH 241) Theory of functions of one variable; limits; continuity; differentiation, integration; Taylor series; power series; sequences and series of functions. 590 Math/CS Capstone Seminar. (=CSCI 590) (3) (Prereq: Senior standing in Math/CS, Industrial Math or Math Ed major, or Department permission). Intended primarily for Math/CS majors, Industrial Math majors and Math Ed majors. Each student is required to do an in-depth study of some topic to be presented orally and in writing in class, and to participate in the discussion and debate of topics presented by other students. Topics will be tied together under a common theme chosen by the faculty. Statistics (STAT) 201 Elementary Statistics. (3) (Prereq: grade of C or better in MATH 108, or Department permission. An introductory course in the fundamentals of modern statistical methods. Topics include descriptive statistics, probability, sampling, tests of hypotheses, estimation, simple linear regression, and correlation. To give students from throughout the university a non-calculus based introduction to the application of modern statistical methods including descriptive and inferential statistics. Appropriate technology will be used to support the course. Primarily for students in fields other than Mathematics who need a working knowledge of statistics. (Four hours per week typically divided into two hours of lecture and two hours of collaborative learning, discussion, and exploratory activities. 509 Statistics. (3) (Prereq: A grade of C or better in MATH 141; or in both MATH 122 and one of MATH 170, STAT 201, or PSYC 225; or Department permission). Basic probability and statistics with applications. Data collection and organization, elementary probability, random variables and their distributions, estimation and tests of hypotheses, linear regression and correlation, analysis of variance, applications and use of a statistical package. 510 Statistical Quality Assurance. (3) (Prereq: a grade of C or better in STAT 509) Basic graphical techniques and control charts. Experimentation in quality assurance. Sampling issues. Other topics include process capability studies, error analysis, estimation and reliability. Engineering (ENCP) 101 Introduction to Engineering I. (3) Engineering problem solving using computers and other engineering tools. 102 Introduction to Engineering II. (3) Introduction to basic concepts in engineering graphics as a means of communication, including orthographic projections, descriptive modeling, and computer graphics. 200 Statics. (3) (Prereq: MATH 141) Introduction to the principles of mechanics. Equilibrium of particles and rigid bodies. Distributed forces, centroids and centers of gravity. Moments of inertia of areas. Analysis of simple structures and machines. A study of various types of friction. 210 Dynamics. (3) (Prereq: ENCP 200) Kinematics of particles and rigid bodies. Kinetics of particles with emphasis on Newton’s second law; energy and momentum methods for the solution of problems. Applications of plane motion of rigid bodies. 260 Introduction to the Mechanics of Solids. (3) (Prereq: ENCP 200 and a grade of C or better in MATH 142, or Department permission). Concepts of stress and strain; stress analysis of basic structural members, 22 consideration of combined stress, including Mohr’s Circle; introductory analysis of deflection; buckling of columns. 290 Thermodynamic Fundamentals. (3) (Prereq: grade of C or better in MATH 142) Definitions, work, heat and energy. First law analyses of systems and control volumes. Second law analysis. Electrical Engineering (ELCT) 221 Circuits. (3) (Prereq: MATH 142). Linear circuit analysis and design. 23 24