CENTRAL TEXAS COLLEGE SYLLABUS FOR MATH 1324 MATHEMATICS FOR BUSINESS & SOCIAL SCIENCES. Semester Hours Credit: 3 Instructor: Office Hours:

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1 CENTRAL TEXAS COLLEGE SYLLABUS FOR MATH 1324 MATHEMATICS FOR BUSINESS & SOCIAL SCIENCES Semester Hours Credit: 3 Instructor: Office Hours: I. INTRODUCTION Finite Mathematics is a three semester hour course which covers such topics as the application of common algebraic functions, including polynomial, exponential, logarithmic, and rational, to problems in business, economics, and the social sciences are addressed. The applications include mathematics of finance, including simple and compound interest and annuities; systems of linear equations; matrices; linear programming; and probability, including expected value. Prerequisites: Appropriate placement score or TSI exemption or completion of the appropriate level of Developmental Studies course. II. LEARNING OUTCOMES Upon successful completion of this course, Mathematics for Business and Social Sciences, the student A. Use the definition of function and function notation. (F1, F2, F5, F6) B. Find domain and range. (F1, F8) C. Find cost, price-demand, revenue, and profit functions. (F1, F2, F3, F4) D. Given revenue and cost functions, or a profit function, find the break-even point. (F1, F2, F3, F4) E. Identify graphs of basic elementary functions. (F1, F8) F. Use transformations to graph functions. (F8, F9) G. Graph quadratic functions and solve business applications of the quadratic function. (F2, F9) H. Graph polynomial and rational functions. (F2, F9) I. Graph exponential functions and solve applications relating to the exponential function. (F2, F9) J. Graph logarithmic functions, use the properties of logarithms, and solve applications of the logarithmic function. (F2, F9, F12) K. Solve finance problems involving simple and compound interest, annuities, and amortization. (F2, F3, F9) L. Apply matrix skills and probability analyses to model applications to solve realworld problems. (F3) M. Solve systems of linear equation by the Guass-Jordan elimination method and use the Guass-Jordan elimination method to solve applications. (F3, F9) N. Find the inverse of a square matrix and use the inverse of the coefficient matrix to solve systems of linear equations. (F3, F9) O. Solve linear programming problems by the graphical method. (F2, F3, F9) P. Apply basic matrix operations, including linear programming methods, to solve application problems. (F2, F3, F9) 9/10/2018 1

2 Q. Apply elementary functions, including linear, quadratic, polynomial, rational, logarithmic, and exponential functions to solve real-world problems. (F2, F3, F9) R. Demonstrate fundamental probability techniques and application of those techniques, including expected value, to solve problems. (F2, F3, F9) S. Use electronic and other media, such as the computer and DVD, to reinforce and supplement the learning process. (F1, F2, F3, F4, F6) Some learning outcomes are followed by letters and numbers; i.e., C9 or F11. These refer to SCANS foundations skills (F) and workplace competencies (C). View a chart showing these skills at For more on the (Labor) Secretary's Commission on Achieving Necessary Skills, or SCANS, go to the U.S. Department of Labor site at III. INSTRUCTIONAL MATERIALS The Instructional materials identified for this course are viewable through IV. COURSE REQUIREMENTS A. Assignments are given in MyMathLab (MML) and are due as scheduled by your instructor. The instructor will monitor students progress in completing the assignments. B. Students are expected to attend every class, to arrive at each class on time, and remain in class for the entire period. Instructors may choose to lower a student's grade because of tardiness. V. EXAMINATIONS A. Examinations will be given at appropriate points during the semester. Each examination will be announced in class at least one week in advance. There will be three exams (including the comprehensive final exam). B. Students who miss an exam should discuss with the instructor the circumstances surrounding the absence. The instructor will determine whether a make-up exam is to be given. Make-up examinations are given by appointment only. VI. SEMESTER GRADE COMPUTATIONS The semester average is derived from the homework, quizzes, Chapter Applications, unit exams, and REQUIRED comprehensive final exam in MyMathLab. You must take the final exam and score at least 50% to pass the course. MATH1324 2

3 Final grades will follow the grade designation below: VII. Grade A Class Average 90 to 100 B 80 to 89 C 70 to 79 D 60 to 69 F 0 to 59 NOTES AND ADDITIONAL INSTRUCTIONS A. Withdrawal from Course: It is the student's responsibility to officially drop a class if circumstances prevent attendance. Any student who desires to, or must, officially withdraw from a course after the first scheduled class meeting must file an Application for Withdrawal or an Application for Refund. The withdrawal form must be signed by the student. An Application for withdrawal will be accepted at any time prior to Friday of the 12th week of classes during the 16-week fall and spring semesters. The deadline for sessions of other lengths is as follows. Session 12-week session 10-week session 8-week session 6-week session 5-week session Deadline for Withdrawal Friday of the 9 th week Friday of the 7 th week Friday of the 6 th week Friday of the 4 th week Friday of the 3 rd week The equivalent date (75% of the semester) will be used for sessions of other lengths. The specific last day to withdraw is published each semester in the Schedule Bulletin. Students who officially withdraw will be awarded the grade of "W" provided the student's attendance and academic performance are satisfactory at the time of official withdrawal. Students must file a withdrawal application with the college before they may be considered for withdrawal. A student may not withdraw from a class for which the instructor has previously issued the student a grade of "F" or "FN" for nonattendance. MATH1324 3

4 B. An Incomplete Grade: The College catalog states, "An incomplete grade may be given in those cases where the student has completed the majority of the course work but, because of personal illness, death in the immediate family, or military orders, the student is unable to complete the requirements for a course..." Prior approval from the instructor is required before the grade of "I" is recorded. A student who merely fails to show for the final examination will receive a zero for the final and an "F" for the course. C. Cellular Phones and Beepers: Cellular phones and beepers will be turned off while the student is in the classroom or laboratory. D. Americans with Disabilities Act (ADA): Americans with Disabilities Act (ADA) (ADA): Disability Support Services provide services to students who have appropriate documentation of a disability. Students requiring accommodations for class are responsible for contacting the Office of Disability Support Services (DSS) located on the central campus. This service is available to all students, regardless of location. Review the website at for further information. Reasonable accommodations will be given in accordance with the federal and state laws through the DSS office. E. Civility: Individuals are expected to be cognizant of what a constructive educational experience is and respectful of those participating in a learning environment. Failure to do so can result in disciplinary action up to and including expulsion. G. Advanced Math Lab: The Math Department operates an Advanced Mathematics Lab in Building 152, Room 145. All courses offered by the Math Department are supported in the lab with appropriate tutorial software. Calculators are available for student use in the lab. Students are encouraged to take advantage of these opportunities. See posted hours for the Math Lab. H. Office Hours: Full-time instructors post office hours in Blackboard. Parttime instructors may be available by appointment. If you have difficulty with the course work, please consult your instructor. MATH1324 4

5 VIII. COURSE OUTLINE A. Lesson One: Functions and Graphs (Chapter 2) 1. Lesson Objectives: Upon successful completion of this lesson, the student a. Construct graphs of equations in two variables. b. Use the definition of function. c. Determine whether an equation or graph specifies a function. d. Use function notation and find difference quotients. e. Find cost, price-demand, revenue, and profit functions. f. Given revenue and cost functions, or a profit function, find the breakeven point. g. Construct graphs of functions using transformations. h. Find the x-intercepts of a quadratic function by using the quadratic formula. i. Graph a quadratic function and locate the maximum or minimum point along with the zeros of the function. j. Find break-even points. k. Maximize quadratic revenue and profit functions. l. Graph polynomial and rational functions. m. Graph and model exponential functions. n. Define one-to-one and inverse of a function. o. Convert equations from logarithmic to exponential form, and vice versa. p. Solve logarithmic equations. q. Use the properties of logarithms to solve applications. c. Homework as identified by instructor. Study Chapter 2. a. Section 2.1 (Functions) b. Section 2.2 (Elementary Functions: Graphs and Transformations) c. Section 2.3 (Quadratic Functions) d. Section 2.4 (Polynomial and Rational Functions) e. Section 2.5 (Exponential Functions) f. Section 2.6 (Logarithmic Functions) MATH1324 5

6 B. Lesson Two: Mathematics of Finance (Chapter 3) 1. lesson Objectives: Upon successful completion of this lesson, the student a. Find the future value and amount of interest for simple interest loans and investments. b. Find the simple interest rate earned on an investment. c. Find the future value of a compound interest investment and the amount of interest earned. d. Find the present value of a compound interest investment. e. Find the time it takes for an investment to reach a specified amount. f. Find the annual percentage yield or the effective annual interest rate. g. Compute the future value of ordinary annuities and annuities due. h. Compute the payment required for an ordinary annuity and annuity due to reach a specified future value. i. Compute the present value of ordinary annuities, annuities due, and deferred annuities. j. Compute the payments for a specified present value of an annuity. k. Find the regular payments required to amortize a debt. l. Construct amortization schedules. c. Homework as identified by instructor. Study Chapter 3. a. Section 3.1 (Simple Interest) b. Section 3.2 (Compound and Continuous Compound Interest) c. Section 3.3 (Future Value of an Annuity: Sinking Funds) d. Section 3.4 (Present Value of an Annuity: Amortization) MATH1324 6

7 C. Lesson Three: Systems of Linear Equations; Matrices (Chapter 4) 1. Lesson Objectives: Upon successful completion of this lesson, the student a. Solve systems using Guass-Jordan elimination. b. Use Guass-Jordan elimination to solve applications. c. Add and subtract matrices. d. Multiply matrices by a scalar. e. Multiply two matrices. f. Use basic matrix operations to solve applications. g. Find the inverse of a square matrix. h. Use matrix inverse methods to solve systems of equations. c. Homework as identified by instructor. Study Chapter 4. a. Section 4.2 (Systems of Linear Equations and Augmented Matrices) b. Section 4.3 (Guass-Jordan Elimination) c. Section 4.4 (Matrices: Basic Operations) d. Section 4.5 (Inverse of a Square Matrix) e. Section 4.6 (Matrix Equations and Systems of Linear Equations) D. Lesson Four: Linear Inequalities and Linear Programming (Chapter 5) 1. lesson Objectives: Upon successful completion of this lesson, the student a. Graph linear inequalities in two variables. b. Solve systems of linear inequalities in two variables. c. Solve applications involving systems of linear inequalities. d. Find the optimum solution of a linear function using the geometric approach. c. Homework as identified by instructor. Study Chapter 5. MATH1324 7

8 a. Section 5.1 (Linear Inequalities in Two Variables) b. Section 5.2 (Systems of Linear Inequalities in Two Variables) c. Section 5.3 (Linear Programming in Two Dimensions: A Geometric Approach) E. Lesson Five: Linear Programming: The Simplex Method (Chapter 6) 1. Lesson Objectives: Upon successful completion of this lesson, the student a. Maximize functions subject to constraints using the simplex method. b. Determine the dual for minimization problems. c. Find the transpose of a matrix. d. Solve minimization problems using the simplex method on the dual. c. Homework as identified by instructor. Study Chapter 6. a. Section 6.1 (The Table Method: An Introduction to the Simplex Method) b. Section 6.2 (The Simplex Method: Maximization with Problem Constraints of the Form < ) c. Section 6.3 (The Dual Problem: Minimization with Problem Constraints of the Form > ) F. Lesson Six: Probability (Chapter 8) 1. Lesson Objectives: Upon successful completion of this lesson, the student a. Construct sample spaces and compute probability for an event. b. Compute the union, intersection, complement, and odds of an event. c. Identify independent events and compute conditional probability. d. Construct the probability distribution of an event and compute expected value. MATH1324 8

9 c. Homework as identified by instructor. Study Chapter 8. a. Section 8.1 (Sample Spaces, Events, and Probability) b. Section 8.2 (Union, Intersection, Complements of Events; Odds) c. Section 8.3 (Conditional Probability, Intersection, and Independence) d. Section 8.5 (Random Variable, Probability Distribution, and Expected Value) MATH1324 9

Math 098 Intermediate Algebra Spring 2018

Math 098 Intermediate Algebra Spring 2018 Dept. of Mathematics Instructor's Name: Office Location: Office Hours: Office Phone: E-mail: MyMathLab Course ID: Course Description This course expands on the