MATH 21 – Page 1 Date Approved: 2/20/92 Date Scanned: 5/23/2005 Inactivated by Curriculum Committee 9/14/07__ College of the Redwoods CREDIT COURSE OUTLINE DEPARTMENT AND COURSE NUMBER: MATH 21 DEGREE APPLICABLE NON-DEGREE APPLICABLE FORMER NUMBER (If previously offered) COURSE TITLE Finite Math LECTURE HOURS: 3.0 LAB HOURS: 0.0 UNITS: 3.0 PREREQUISITE: MATH 120 with "C" or better or appropriate score on assessment exam or equivalent Eligibility for: Engl 150 Math 105 CO-REQUISITE: None Request for Exception Attached GRADING STANDARD: Letter Grade Only TRANSFERABILITY: CSUS UC Articulation with UC requested Repeatable yes no CR/NC Only NONE Max No. Units Grade/CR/NC Option Maximum Class Size 40 Max No. Enrollments CATALOG DESCRIPTION: An introduction to the methods of finite mathematics with an emphasis on systems of equations, matrices, linear programming, and the use of Markov chains in decision making. NOTE: Scientific calculators will be used extensively. COURSE OUTCOMES/OBJECTIVES: List the primary instructional objectives of the class. Formulate some of them in terms of specific student accomplishments, e.g., specific knowledge and/or skills to be attained as a result of completing this course. For degree-applicable courses, include objectives in the area of “critical thinking.” Upon successful completion of this course, the student will be able to: 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. solve linear and quadratic equations, apply linear mathematical models, use basic matrix operations, apply matrix muerses, solve routing and contagion problems, use math models for linear programming, apply the simplex method using mixed constraints, use Markov chains in decision theory, sets and counting, probability, binomial and normal distributions, and mathematics of finance. MATH 21 – Page 2 Date Approved: 2/20/92 Date Scanned: 5/23/2005 Inactivated by Curriculum Committee 9/14/07__ COURSE OUTLINE: % of Classroom Hours Spent on Each Topic Linear & quadratic functions Linear mathematical models Polynomial & rational functions Algebra of functions Systems of linear equations Gauss-Jordan method Basic matrix operations Matrix inverses Input & output models Linear inequalities Mathematical models for programming Linear programming — graphing method Linear programming — simplex method Mixed constraints Duality Markov chains Decision theory Counting and sets Probability Binomial and normal distributions Mathematics of finance 5% 5% 5% 5% 5% 5% 5% 5% 5% 5% 5% 5% 5% 5% 5% 5% 5% 5% 2.5% 2.5% 5% Percent may vary with class and instructor. APPROPRIATE TEXTS AND MATERIALS: (Indicate textbooks that may be required or recommended, including alternate texts that may be used.) Text(s) Title: Finite Mathematics Required Edition: latest Alternate Author: Lial, Greenwell, & Miller Recommended Publisher: Addison Wesley Date Published: 1998 (Additional required, alternate, or recommended texts should be listed on a separate sheet and attached.) For degree applicable courses the adopted texts have been certified to be college-level: Yes. Basis for determination: is used by two or more four-year colleges or universities (certified by the Division Chair or Branch Coordinator, or Center Dean) OR has been certified by the LAC as being of college level using the Coleman and Dale-Chall Readability Index Scale. No. Request for Exception Attached If no text or a below college level text is used in a degree applicable course, a request for exception must be attached and a rationale provided. This request for exception will be approved or denied by the Curriculum Committee. MATH 21 – Page 3 Date Approved: 2/20/92 Date Scanned: 5/23/2005 Inactivated by Curriculum Committee 9/14/07__ METHODS TO MEASURE STUDENT ACHIEVEMENT: Please check where appropriate; however, a degree applicable course must have a minimum of one response in category 1, 2, or 3. If category 1 is not checked, the department must explain why substantial writing assignments are an inappropriate basis for at least part of the grade. 1. Substantial writing assignments, including: essay exam(s) term or other paper(s) written homework reading report(s) laboratory report(s) other (specify) _____ If the course is degree applicable, substantial writing assignments in this course are inappropriate because: The course is primarily computational in nature. The course primarily involves skill demonstrations or problem solving. Other rationale (explain) __________________________________________ 2. Computational or Non-computational problem-solving demonstrations, including: exam(s) quizzes homework problems laboratory report(s) field work other (specify)_______ 3. Skill demonstrations, including: class performance(s) other (specify)____ 4. Objective examinations, including: multiple choice completion field work performance exam(s) true/false other (specify) matching items 5. Other (specify) ____________________________________ NOTE: A course grade may not be based solely on attendance. REQUIRED READING, WRITING, AND OTHER OUTSIDE OF CLASS ASSIGNMENTS: Over an 18-week presentation of the course, 3 hours per week are required for each unit of credit. ALL Degree Applicable Credit classes must treat subject matter with a scope and intensity which require the student to study outside of class. Two hours of independent work done out of class are required for each hour of lecture. Lab and activity classes must also require some outside of class work. Outside of the regular class time the students in this class will be doing the following: Study Answer questions Skill practice Required reading Problem solving activity or exercise Written work (essays/compositions/report/analysis/research) Journal (reaction and evaluation of class, done on a continuing basis throughout the semester) Observation of or participation in an activity related to course content (e.g., play, museum, concert, debate, meeting, etc.) Field trips Other (specify) ____________________________ NOTE: ALL Degree Applicable Credit classes must treat subject matter with a scope and intensity which MATH 21 – Page 4 Date Approved: 2/20/92 Date Scanned: 5/23/2005 Inactivated by Curriculum Committee 9/14/07__ require the student to study outside of class. Therefore, activity classes for which degree credit status is requested must also indicate, on the above list, the areas of outside study. COLLEGE LEVEL CRITICAL THINKING TASKS/ASSIGNMENTS: Degree applicable courses must include critical thinking tasks/assignments. This section need not be completed for non-degree applicable courses. Describe how the course requires students to independently analyze, synthesize, explain, assess, anticipate and/or define problems, formulate and assess solutions, apply principles to new situations, etc. This course is application oriented. The students will have to analyze problems and determine what methods they will use to solve the problems. In the linear programming problems in particular they will have to define the problem mathematically and set up a mathematical model.