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77 First Day Handout for Students* MATD 0370/0290, Combined Elementary Algebra & Intermediate Algebra, Semester/Session Section Number & Synonym Campus, Room #, Time of Day Instructor's Name: Office: Phone Number: E-mail: Office Hours: Other hours by appointment. Web Site, if applicable: Required Texts/Materials: Text: Elementary and Intermediate Algebra, Concepts and Applications: A Combined Approach, 4/E, by Bittinger, Ellenbogen, and Johnson ISBN # 0-321-559444 Optional Shrink-Wrapped Bundle with Text, My Math Lab 0321609670 Supplemental Materials: Rectangular coordinate graphing paper, Scientific calculator MyMathLab includes: ▫ Online access to all pages of the textbook ▫ Multimedia learning aids (videos & animations) for select examples and exercises in the text ▫ Practice tests and quizzes linked to sections of the textbook ▫ Personalized study guide based on performance on practice tests and quizzes Visit www.mymathlab.com for more information. To use MyMathLab, you'll need: Course ID*: ID acc08249 Student access number: provided with purchase of MyMathLab access. * If your instructor has set up a different course ID for your class, he or she will let you know. If so, use the course ID provided by your instructor. PREREQUISITE: A in Basic Math Skills taken Spring 2009 or later, or recommendation of instructor, or equivalent knowledge, a mid-range score on the MATD 0370 placement test, or 75% on the pretest during the first week. Course Rationale: This fast track algebra course streamlines content for the purpose of moving adult students more quickly through developmental mathematics. The design is to improve retention and persistence of students, especially traditionally under-represented students. Throughout the course, problem solving and the concept of function are demonstrated and emphasized. Multiple representations of a problem are encouraged including verbal, symbolic, graphical, and numerical representations. The learning objectives for this course include: critical thinking, reasoning mathematically, communicating mathematically, and problem solving. The focus will be on using algebra to solve problems from the real world. This course is designed to prepare students for various college-level science and mathematics courses. After succeeding in this course, students may enroll in a number of courses in science, mathematics, and various technical areas. These include General College Physics, General Chemistry, Magnetism and DC Circuits, AC Circuits, Manufacturing Materials and Processes, Math for Business and Economics, and College Algebra. Course Description MATD 0370 Elementary Algebra MATD 0390 INTERMEDIATE ALGEBRA : A course designed to develop the skills and understanding contained in the first and second year of secondary school algebra. Topics include review of properties of and operations on real numbers, graphing linear equations, variation, solving linear and quadratic equations, solving systems of linear equations, polynomials, factoring, applications. , functions, algebra of functions, inequalities, rational expressions and equations, radical expressions and equations, quadratic functions and their graphs, and solving quadratic equations. 78 MATD 0370/0290, Elementary & Intermediate Algebra, 2010-2011 First Day Handout for Students Course Objectives: Common Course Objectives for MATD 0390 (revised July 2009) The following objectives are listed in a sequence ranging from the simple to the more complex. As such, this document should not be viewed as a chronological guide to the course, although some elements naturally will precede others. These elements should be viewed as mastery goals which will be reinforced whenever possible throughout the course. Overall objectives: A. Students will feel a sense of accomplishment in their increasing ability to use mathematics to solve problems of interest to them or useful in their chosen fields. Students will attain more positive attitudes based on increasing confidence in their abilities to learn mathematics. B. Students will learn to understand material using standard mathematical terminology and notation when presented either verbally or in writing. C. Students will improve their skills in describing what they are doing as they solve problems using standard mathematical terminology and notation. Computational: 1. 2. 3. 4. 5. 6. 7. 8. 9. Evaluate a function using function notation. Find the domain of a function. Perform elementary arithmetic operations with functions. Perform division of polynomials Perform elementary arithmetic operations with rational expressions that require factoring up to and including the sum or difference of cubes. Simplify a complex fraction, including one with negative exponents. Simplify an expression with fractional exponents. Simplify a radical expression, including rationalizing a monomial or binomial denominator. Perform elementary arithmetic operations with complex numbers. Equation and Inequality Solving: 1. 2. 3. 4. Solve an absolute value equation. Solve a rational equation, including one with a quadratic expression in the denominator. Solve an equation with one radical. Recognize an extraneous root. Using Forms and Formulas 1. 2. 3. 4. Graph a function, such as a simple absolute value or rational function, by completing a table and plotting points. Solve a quadratic equation with real or non-real solutions. Find the midpoint and the distance between two points. Complete a square to rewrite an equation for a circle in standard form and identify its center and radius. 79 5. Determine if a formula, correspondence, table or graph represents a function. Graphing: 1. 2. 3. 4. 5. Graph a linear inequality on the Cartesian plane. Graph a system of linear inequalities on the Cartesian plane. Graph and analyze a linear and quadratic function. Sketch a quadratic function, written in the form f(x)=a(x-h)^2+k, using transformations. Sketch a circle from its standard form. Applications: 1. 2. Represent English descriptions of numerical relationships in algebraic form. Solve application problems including, but not limited to, linear and quadratic models, direct and inverse variation, and those requiring 2x2 systems of linear equations . Instructional Methodology: This course is taught in the classroom as a lecture/discussion course. Attendance: Attendance is required in this course. Students who have excessive absences may be withdrawn. TSI–mandated students who have excessive absences will be withdrawn. TSI Warning for students who are not TSI complete** Students who are not TSI complete in math are not allowed to enroll in any course with a math skill requirement. All students are required to be "continually in attendance" in order to remain enrolled in this course. If this is the only developmental class you are enrolled in, and you withdraw yourself from this course or are withdrawn by your instructor, then: a) You may be withdrawn from courses that you should not be enrolled in, such as any class with a math skill requirement. b) You will have a hold placed on your registration for the following semester. The Hold will require that you register for the next semester in person with an advisor or counselor and that you work with the Developmental Math Advisor during that semester. c) You will continue to face more serious consequences, up to being restricted to only registering for developmental courses, until you complete the required developmental math course or satisfy the TSI requirement in another way. More information can be found at http://www.austincc.edu/math/tsiwarning.htm. ** If you are unsure whether or not this warning applies to you, see an ACC advisor immediately. Importance of Completing Developmental Course Requirements 80 The first steps to achieving any college academic goal are completing developmental course requirements and TSI requirements. The first priority for students who are required to take developmental courses must be the developmental courses. TSI rules state that students are allowed to take college credit courses, if they are fulfilling their developmental requirements. Because successful completion of dev courses is so important, ACC will intervene with any student who is not successfully completing developmental requirements. This intervention can mean a hold on records, requiring developmental lab classes, working with the Dev Math Advisor, and monitoring during the semester. Withdrawal Policy: It is the student's responsibility to initiate all withdrawals in this course. The instructor may withdraw students for excessive absences but makes no commitment to do this for the student. After the withdrawal date, neither the student nor the instructor may initiate a withdrawal. TSI-mandated students with excessive unexcused absences will be withdrawn. The withdrawal deadline is ___________________. Reinstatement Policy: Students who withdrew or were withdrawn generally will not be reinstated unless they have completed all course work, projects, and tests necessary to place them at the same level of course completion as the rest of the class. Incomplete grades (I) are given only in very rare circumstances. To qualify for an "I", a student must have completed almost all exams and assignments, have a passing grade, and have a serious situation occur that prevents course completion after the withdrawal deadline. In Progress grades (IP) are also rarely given. In order to earn an "IP" grade the student must remain in the course, be making progress in the material, not have excessive absences, and not be meeting the standards set to earn the grade of C or better in the course. Students who are given an IP grade must register and pay for the same course the next semester they take a math class to receive credit. Students who make a grade of IP should not go on to the next course with that grade. A maximum of two IP grades can be awarded in any one course. [Note to instructors: this policy may be left out of your syllabus.] Course Policies: The syllabus should also include the following policies of the instructor: Missed exam policy Policy about late work (if applicable) Class participation expectations Statement on Scholastic Dishonesty Acts prohibited by the college for which discipline may be administered include scholastic dishonesty, including but not limited to, cheating on an exam or quiz, plagiarizing, and unauthorized collaboration with another in preparing outside work. Academic work submitted by students shall be the result of their thought, work, research or self-expression. Academic work is defined as, but not limited to, tests, quizzes, whether taken electronically or on paper; projects, either individual or group; classroom presentations; and homework. Statement on Scholastic Dishonesty Penalty 81 Students who violate the rules concerning scholastic dishonesty will be assessed an academic penalty that the instructor determines is in keeping with the seriousness of the offense. This academic penalty may range from a grade penalty on the particular assignment to an overall grade penalty in the course, including possibly an F in the course. ACC's policy can be found in the Student Handbook under Policies and Procedures or on the web at: http://www.austincc.edu/handbook Statement on Student Discipline Classroom behavior should support and enhance learning. Behavior that disrupts the learning process will be dealt with appropriately, which may include having the student leave class for the rest of that day. In serious cases, disruptive behavior may lead to a student being withdrawn from the class. ACC's policy on student discipline can be found in the Student Handbook under Policies and Procedures or on the web at: http://www.austincc.edu/handbook Statement on Academic Freedom Institutions of higher education are conducted for the common good. The common good depends upon a search for truth and upon free expression. In this course the professor and students shall strive to protect free inquiry and the open exchange of facts, ideas, and opinions. Students are free to take exception to views offered in this course and to reserve judgment about debatable issues. Grades will not be affected by personal views. With this freedom comes the responsibility of civility and a respect for a diversity of ideas and opinions. This means that students must take turns speaking, listen to others speak without interruption, and refrain from name-calling or other personal attacks. Statement on Students with Disabilities Each ACC campus offers support services for students with documented physical or psychological disabilities. Students with disabilities must request reasonable accommodations through the Office of Students with Disabilities on the campus where they expect to take the majority of their classes. Students are encouraged to do this three weeks before the start of the semester. Course-Specific Support Services: ACC main campuses have Learning Labs which offer free first-come first-serve help with math from tutors and computer tutorials for math courses. Learning Lab information is posted at http://www.austincc.edu/tutor DVD videos that cover all topics can be checked out in the Learning Resource Centers (libraries). Ask your instructor if you need help finding them. Course Evaluation/Grading Scheme: Grading criteria must be clearly explained in the syllabus. The criteria should specify the number of exams and other graded material (homework, assignments, 82 projects, etc.) and should include the comprehensive Intermediate Algebra departmental final exam. Instructors should discuss the format and administration of exams, which may be given in an ACC Testing Center <http://www.austincc.edu/testctr/>. Guidelines for other graded materials, such as homework or projects, should also be included in the syllabus. Syllabus and Calendar: Week 1 Intro Pretest 2 2.4-2.5 2.6, 2.7 3 3.2-3.4 3.5 4 4.1 - 4.6 Exam 2 5 5.1-5.6 5.7 6 Exam 3 5.8, 7 6.6 6.7 8 7.2-7.5 8.1-8.2 9 Exam 4 9.1-9.2 10 9.4 10.1 11 10.3 10.4 12 10.6, 10.7 10.8 Exam 5 13 11.2,11.3 11.4 14 11.7 15 Exam 6. 12.2 optional 16 Review Chapt. 1 3.1 3.6-3.7 4.7, 4.8, 2.1-2.3 Exam 1 6.1-6.5 7.1 8.3 9.3 10.2 10.5 11.1 11.6 11.8 13.1 Final Exam All sections *Additional information about ACC's mathematics curriculum and faculty is available on the Internet at http://www.austincc.edu/math/ 83 ELEMENTARY & INTERMEDIATE ALGEBRA HOMEWORK (Bittinger) sec 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 pg 10-12 18-20 27-28 35-37 42-43 48-50 56-58 66-67 2.1 2.2 2.3 2.4 83-84 91-92 97-98 2.5 116120 128129 135 154157 165166 173175 180183 190195 203205 2.6 2.7 3.1 3.2 3.3 3.4 3.5 3.6 104108 PROBLEMS 5, 11, 13 , 17, 27, 31, 35, 41, 45, 53, 59, 67-77 (odd), 80 5 – 9 (odd), 15, 23, 31, 35, 57, 65, 69, 77, 79, 89, 90, 91, 92 1, 7,11-15, 25, 29, 33, 39, 47, 51, 65, 69, 75, 77, 83, 85, 87 6, 15, 19, 23, 25, 39, 43, 47-65 (odd), 69, 73, 77-79, 83, 85, 89, 93 41, 43, 51, 53, 55, 59, 68, 77, 79, 83, 87 23, 27, 33, 43, 67, 75, 91, 93-103 (odd), 119, 125, 129, 135, 139, 143 1, 5, 6, 7, 8, 11, 39, 47, 49, 51, 53, 63, 73-109(odd), 117 1-15(odd), 19, 27, 31, 35, 37, 39, 45, 47, 51, 55, 56, 59-73 (odd), 79, 83, 85, 87, 91, 93, 101 17, 23, 2 7, 39, 41, 45, 49, 51, 55, 57, 69, 79 1, 3, 5, 25, 29, 39, 47, 49, 55, 57, 61-81 (odd), 86, 89, 90, 95, 97 1-29(odd), 30, 42, 43 19, 21, 23, 33, 35, 37, 39, 43-57(odd), 59-65(all), 69, 75, 77, 81, 83, 89, 90, 95, 97 1-9 (odd), 17, 19, 21, 27-43 (odd), 55 1, 3, 9, 11, 17, 23, 25, 27, 29, 35, 37, 45, 47, 53, 57, 59, 61, 65, 71, 75, 81, 105 13, 15, 21, 23, 27, Test 1 up thru 2.7 13, 14, 17-33(odd), 41, 43, 45, 51, 57, 59 7, 15, 17, 21, 23, 27, 29, 33-39 odds, 43, 49, 57, 60 7, 9, 11, 17, 23, 27, 29, 35, 37, 53, 59, 63, 69, 71, 73, 77, 78, 79, 83 9, 11, 13, 19, 23, 25, 27, 29, 33, 35, 41, 43, 45, 49, 53 1, 3, 7, 17, 19, 21, 25, 27, 31, 33, 39, 47, 49, 53, 55, 57, 61, 63, 65, 67, 73, 75 1, 3, 5, 9, 11, 15, 19, 25, 27, 35, 39, 43, 45, 49, 55, 61, 65, 67, 69, 74, 75, 77, 81, 85, 95 1, 7, 9, 11, 15, 19, 25, 29, 39, 41, 43, 47, 49, 55, 57, 59, 65, 67, 69, 71, 75, 77, 79, 83, 90, 92 3.7 213215 4.1 234-235 1-25(odd), 33, 37, 45 – 55 odds, 61, 65, 73, 77, 83, 85, 87, 89, 91, 94, 95, 96 done 4.2 242243 250253 1-15(odd), 21, 25-87(odd), 91 – 115 (odd), 117-122 4.3 4, 5, 8, 9, 13, 19, 21, 25, 27, 33, 35, 39, 41, 45, 53, 55, 61, 63, 65, 67, 69, 71, 73, 75, 78, 79, 82 Test 2 up thru 4.3 4.4 4.5 4.6 4.7 4.8 259260 267268 276277 284286 292293 7, 9, 13, 17, 23, 27, 33, 37, 39, 45, 47, 53, 57, 59, 61, 78, 82, 93 9, 15, 17, 23, 27, 31, 33, 37, 39, 41, 43, 45, 57, 59, 61, 69, 75, 77 1, 2, 5, 11, 13, 15, 23, 27, 41, 45, 51, 53, 59, 61, 67, 91, 105, 107, 109 1, 3, 5, 7, 9, 11, 13, 25, 29, 33, 35, 39, 43, 45, 55, 61, 63, 71, 87 1, 7, 9, 11, 15, 21, 25, 29, 33, 37, 41 - 48 84 5.1 5.2 5.3 5.4 5.5 5.6 310-311 317-318 327-328 336-337 339 343-344 5-7(odd), 11, 13, 25, 27, 29, 30, 31, 33-61(odd), 67-72(all) 3-61(odd), 64, 66-70(all) 1, 3, 5, 6, 7, 8, 11, 16, 17, 21, 27, 29, 31, 41, 43, 47, 81- 87(odd) 1, 2, 3, 5, 9, 13-33(odd), 53-57(odd), 61, 67, 73, 79, 81, 94, 95, 97, 99 3, 7, 9, 17, 21, 25, 29, 31 , 39, 40, 42, 43 1, 3, 4, 5, 7, 9, 11, 13, 17, 21, 25, 29, 35, 37, 39, 41, 51, 53, 59, 81, 84, 85 5.7 351-353 3, 7, 9, 12, 17, 21, 25, 31, 35, 37, 41, 43, 45, 51, 53, 55, 57, 61, 65 5.8 363-366 3-21 (odd), 20, 23, 27, 29, 30, 33, 42, 46, 48 381-382 386-387 395-396 402-403 410 417 430-434 450-453 461-463 470-473 480-482 490-494 1-17 (odd), 21, 27, 31, 39, 43, 47, 59, 62 1, 13, 15, 19, 23, 25, 29, 43, 47, 49, 51, 55, 59, 61, 65, 73, 74 1-8(all), 13-23(odd), 27, 29, 35, 39-45(odd), 57, 59, 61, 65-71(odd) 1, 5-29(odd), 39-47 (odd), 55, 61, 77, 79 7, 11, 13, 17, 19, 23, 29, 35, 45 5, 11, 13, 17, 19, 23, 31 -39 (odds), 49-52(all) 3-45(odd), 49, 53, 59, 66 1-9(odd), 17-31(odd), 32, 33, 35, 41, 45, 48, 49, 50, 53, 57, 58 1-19(odd), 23-29(odd), 31, 33, 37, 41, 45, 49, 53, 57 5-37(odd), 45, 47, 49, 53, 57, 59, 63, 69, 73, 75, 84, 86 3, 6, 7, 11, 15, 23, 25, 27, 35, 37, 5, 8, 11, 17, 23, 24, 29, 31, 34, 38, 43, 44, 45, 48, 49, 51, 54, 55, 57, 59, 62, 65, 66, 69, 70, 85, Test 3 thru 5.6 6.1 6.2 6.3 6.4 6.5 6.6 6.7 7.1 7.2 7.3 7.4 7.5 8.1 513-515 8.2 8.3 521-522 532-535 9.1 9.2 9.3 9.4 10.1 583-584 593-595 603 614-615 641-642 10.2 647-648 10.3 10.4 10.5 10.6 10.7 10.8 654 660-661 666-667 673-674 683-686 693-694 11.1 712-714 11.2 11.3 11.4 11.6 11.7 11.8 12.2 13.1 719-720 723-724 729-731 746-747 754 760-764 800 860-862 1, 3, 9, 13, 16, 19, 23, 33, 35, 37, 41, 45, 47, 51, 60, 62 5, 8, 13, 17, 21, 23, 25, 27, 30, 35, 37, 39, 61 1, 5, 7, 8, 9, 11, 13, 15, 17, 21, 25, 27, 35, 39, 51 Exam 4 thru 8.3 13-33 (odd), 39, 43, 47, 53, 56, 57 1, 3, 4, 6, 11, 13, 17, 19, 21, 24, 29, 34, 39, 41, 45, 47, 53, 57, 63, 65, 76 1, 3, 9, 13, 17, 19, 21, 23, 29, 35, 37, 43, 47, 49, 51,55 3, 11, 15, 29, 37, 45, 47, 51, 59, 60 11, 13, 15, 23, 26, 31, 37, 43, 47, 51, 53, 55, 59, 63, 65, 69, 75, 83, 85, 88, 89, 93 1, 8, 11, 14, 17, 19, 21, 23, 27, 33, 37, 39, 41, 45, 49, 53, 55, 59, 63, 67, 73, 75, 77, 79, 83, 85, 89, 89, 91, 93 5-31 (odd), 35, 37, 43-73 (odd), 1, 5, 9, 11, 15, 33, 35, 39, 43, 47, 51, 55, 59, 77 3, 9, 13, 19, 21, 25, 27, 29, 35, 39, 45, 49, 51, 59, 61, 63, 65, 69, 85, 1, 2, 3, 5, 7, 9, 10, 11, 15, 17, 21, 29, 31, 33, 35, 37, 39, 40, 57 1, 7, 9, 17, 19, 20, 25, 39, 41, 43, 51, 53, 65, 67 9, 11, 17, 19, 23, 31, 35, 39, 43, 51, 55, 61, 65, 71, 73, 77, 83, 85, 91, 95 Exam 5 thru 10.8 1, 2, 7, 8, 13, 15, 19, 21, 23, 25, 29, 31, 35, 39, 41, 43, 45, 55, 61, 69, 71,73, 79,81 7, 11, 17, 22, 25, 29,31,32, 35, 37, 43, 48, 51, 53 3, 5, 7, 9, 13, 15, 18, 21, 23, 24, 27 1-4, 9, 11, 13, 15, 17, 19, 21, 29, 35, 37, 41, 45 3, 5, 8, 11, 21, 22, 39, 41, 51, 61, 63 5, 7, 9, 12, 17, 21, 23, 27, 32, 35, 42, 45 1-6,9, 11, 12, 15, 21, 23, 24, 25, 26, 27, 28, 29, 45 1, 2, 5, 6, 10, 13, 20, 35, 37, 51, 55 optional 1, 2, 3, 5, 29, 33, 35, 41, 45, 57, 59