Math (Mathematics for Business and Social Sciences I),19480, MW 11:10 12:35, Room 117, AEC


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1 CISCO COLLEGE FALL 2015Semester Math (Mathematics for Business and Social Sciences I),19480, MW 11:10 12:35, Room 117, AEC INSTRUCTOR: J. C. McDANIEL J.C. McDaniel is a 1970 and 1971 graduate of Texas A & M University with BA and MS degrees in Mathematics. Since 1971, he has been a Mathematics course instructor for Cisco College. For the 44 year period from 1971 to 2015, his total student load is in excess of 8,000 grade receiving students. His rank at Cisco College is tenured professor. PHONE: Office: Cisco Campus Cell OFFICE: Cisco Campus, Faculty Bldg. Rm 9 and Print Shop Room, Memorial Hall Abilene Campus, Room 45A, AEC OFFICE HOURS: 8:00 9:30 A.M., MW, Abilene 11:00 9:30 A.M., TTh, Cisco STATEMENT REGARDING STUDENT ASSISTANCE In general students should attempt to work homework assignments as soon as possible after the problems of the assignment have been discussed in class. Class attendance is important in gaining the necessary understanding of how to work certain types of algebraic problems. In the event a student needs assistance with homework assignments, then in addition to school provided tutors, the instructor will be available during regular office hours to answer questions regarding homework assignments. I. COURSE TITLE AND NUMBER Mathematics For Business and Social Sciences Math 1324 (Credit: 3 semester hours) II. TEXTBOOK College Mathematics for Business, Economics, Life Sciences, and Social Sciences (13 th Ed. 2015), Raymond A. Barnett, Michael R. Ziegler, & Karl E. Byleen; Pearson III. COURSE DESCRIPTION
2 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. IV. LEARNING OUTCOMES (ACGM Spring 2014) Upon successful completion of this course, students will: 1. Apply elementary functions, including linear, quadratic, polynomial, rational, logarithmic, and exponential functions to solving realworld problems. 2. Solve mathematics of finance problems, including the computation of interest, annuities, and amortization of loans. 3. Apply basic matrix operations, including linear programming methods, to solve application problems. 4. Demonstrate fundamental probability techniques and application of those techniques, including expected value, to solve problems. 5. Apply matrix skills and probability analyses to model applications to solve realworld problems. V. CORE OBJECTIVES (THECB) This course meets the Core Objectives of Critical Thinking, Communication Skills, and Empirical & Quantitative Skills for the Foundational Component Area of Mathematics as required by the Texas Higher Education Coordinating Board. Math 1324 (Mathematics for Business and Social Sciences I) is a widely transferable mathematics course in the Cisco College core curriculum for students seeking degrees in business, management, and economics. The core objective of empirical and quantitative skills is emphasized through a study of linear equations, quadratic equations, functions, graphs, inequalities, interest, annuities, linear programming, systems of linear equations and matrices. Problem solving skills with related applications to management, economics, and business require the student to demonstrate the core objective of critical thinking. Students are required to graph polynomial, rational, exponential, and logarithmic functions and must correctly use mathematical notation and terminology in order to clearly express the key mathematical concepts in this course to meet the core objective of communication skills. VI. COURSE REQUIREMENTS Prerequisites: Placement testing by TSI with a score of 350 or above in Math and two
3 years of high school algebra (Algebra I & II) or Math Attendance policy: Prompt and regular class attendance is considered necessary for satisfactory work. It is the responsibility of the professor to keep an accurate and comprehensive record of attendance. Cisco College recognizes that absence from class may occur due to illness, death or illness in the immediate family, observance of a religious holiday, or participation in a collegesponsored activity. (Absences due to participation in a collegesponsored activity must be authorized by the Vice President of Instruction.) When absences occur due to the abovestated reasons, the student is allowed to make up work missed; the professor may require the work to be made up within two weeks from its original due date. During a regular Fall or Spring semester, the following requirements apply for facetoface classes. For a class that meets three times per week, a student is allowed six absences. For a class that meets two times per week, a student is allowed four absences. For a class that meets one time per week, a student is allowed two absences. If a student misses one more than the allowed number of absences, he/she may be dropped from the class if the professor deems the student to be failing due to excessive absences and/or failure to make up work due to absences. For online or hybrid courses, a student may be dropped after he/she fails to access the course web site and/or participate in the class for a twoweek period, and the professor deems the student to be failing. During a Summer I or II regular facetoface class, a student is allowed two absences. Upon the third absence, he/she may be dropped from the class if the professor deems the student to be failing due to excessive absences and/or failure to make up work due to absences. For any Minimester or Summer night class, a student is allowed one absence. Upon the second absence, he/she may be dropped from the class if the professor deems the student to be failing due to excessive absences and/or failure to make up work due to absences. Any student who ceases to attend class without officially withdrawing through the Admissions Office is subject to a grade of F. The student will receive a grade of W for the course if withdrawn before the last day to drop with a W, and an F if withdrawn after the last day to drop with a W. Three tardies may constitute an absence. Absence Policy and Makeup Work: Cisco College recognizes that absences from class may occur due to illness, death or illness in the immediate family, observance of a religious holiday, or participation in a Collegesponsored activity. (Absences due to participation in a Collegesponsored activity must be authorized by the appropriate administrator.) When absences occur due to the above, the student is allowed to make up work missed; the instructor may require the work to be made up within two weeks. The absence policy and makeup policy of the course instructor should be stated in writing and given to each student on a course syllabus at the beginning of the semester. In general, the policy should conform as much as possible with the policy of the college as stated under the Student Regulations in the Cisco College catalog.
4 VII. COURSE ASSESSMENT Grading Policy: The grading policy of the course instructor should be stated in writing and given to each student on a course syllabus at the beginning of the semester. In general, grades should be based primarily on demonstrated ability to solve problem types covered by the course and under controlled conditions of a minimum of three written classroom exams and one comprehensive final exam. Classroom exams and homework assignments should be designed to assess the Learning Outcomes and Core Objectives listed previously. Grades should not be based on extraneous or superficial matters of citizenship, classroom discussions, or activities where student work may be suspect or the authenticity difficult to verify such as takehome exams. Pre & PostTests: A departmental pretest will be given on the first day of class. The pretest will not count toward a student s grade in the course. A departmental posttest will be given as part of the final exam at the end of the course and will count 25% of the final exam grade. Items on the pre and posttests are designed to measure both the Learning Outcomes at the course level and the Core Objectives of the Core Curriculum at the program level. VIII. COURSE TEXTBOOK OUTLINE This course covers the following chapters of the text: Chapter 1: Linear Equations and Graphs... 1 week 1.1 Linear Equations and Inequalities 1.2 Graphs and Lines 1.3 Linear Regression Chapter 2: Functions and Graphs weeks 2.1 Functions 2.2 Elementary Functions: Graphs and Transformations 2.3 Quadratic Functions 2.4 Polynomial and Rational Functions 2.5 Exponential Functions 2.6 Logarithmic Functions Chapter 3: Mathematics of Finance weeks 3.1 Simple Interest 3.2 Compound and Continuous Compound Interest 3.3 Future Value of an Annuity; Sinking Funds
5 3.4 Present Value of an Annuity; Amortization Chapter 4: Systems of Linear Equations; Matrices. 3 weeks 4.1 Review: Systems of Linear Equations in Two Variables 4.2 Systems of Linear Equations and Augmented Matrices 4.3 GaussJordan Elimination 4.4 Matrices: Basic Operations 4.5 Inverse of a Square Matrix 4.6 Matrix Equations and Systems of Linear Equations 4.7 Leontief InputOutput Analysis (Optional) Chapter 5: Linear Inequalities and Linear Programming week 5.1 Linear Inequalities in Two Variables 5.2 Systems of Linear Inequalities in Two Variables 5.3 Linear Programming in Two Dimensions: A Geometric Approach Chapter 6: Linear Programming: The Simplex Method weeks 6.1 The Table Method: An Introduction to the Simplex Method 6.2 The Simplex Method: Maximization with Problem Constraints of the Form 6.3 The Dual Problem: Minimization with Problem Constraints of the Form 6.4 Maximization and Minimization with Mixed Problem Constraints Chapter 8: Probability 2 weeks 8.1 Sample Spaces, Events, and Probability 8.2 Union, Intersection, and Complement of Events; Odds 8.3 Conditional Probability, Intersection, and Independence 8.4 Bayes Formula 8.5 Random Variable, Probability Distribution, and Expected Value
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