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MATH 22 – 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 22 DEGREE APPLICABLE NON-DEGREE APPLICABLE FORMER NUMBER (If previously offered) COURSE TITLE Business Calculus LECTURE HOURS: 4.0 LAB HOURS: 0.0 UNITS: 4.0 PREREQUISITE: MATH 120 with grade "C" or better or equivalent or appropriate score on assessment exam Eligibility for: Engl 150 Math 105 Request for Exception Attached CO-REQUISITE: None 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 basic matrix operations, probability, and differential and integral calculus. This course also studies functions, limits, derivatives, integrals and their applications. NOTE: Scientific calculators will be used extensively. MATH 30 strongly recommended. COURSE OUTCOMES/OBJECTIVES: List the primary instructional objectives of the class. Formulate some of them in terms of specific measurable 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. solve systems of linear equations, 2. perform basic matrix operations, 3. apply the basic rules of probability, 4. find derivatives, 5. use the chain rule, 6. solve maximum and minimum problems, 7. use implicit differentiation, S. solve related-rate problems, 9. differentiate exponential and logarithmic functions, 10. solve growth and decay problems, 11. find integrals, 12. find the area between curves, and 13. use different techniques of integration. MATH 22 – Page 2 Date Approved: 2/20/92 Date Scanned: 5/23/2005 Inactivated by Curriculum Committee 9/14/07__ COURSE OUTLINE: Algebra review (functions and modeling) Linear equations and matrices Linear programming Introduction to probability Limits Derivatives Chain rule Continuity Increasing and decreasing functions Extrema Implicit differentiation Related rates Differentials Exponential and logarithmic functions Derivatives of exponential and logarithmic functions Growth and decay problems Fundamental Theorem of Calculus Area between two curves Techniques of integration % of Classroom Hours Spent on Each Topic 6.25 6.25 6.25 6.25 3.75 7.5 3.75 3.75 3.75 7.5 3.75 7.5 3.75 3.75 3.75 7.5 3.75 3.75 7.5 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: Mathematics and Calculus with Applications Required Edition: Latest Alternate Author: Bittinger & Crown Recommended Publisher: Addison-Wesley Date Published: 1989 (Additional required, alternate, or recommended texts should be listed on a separate sheet and attached.) See Attached List. 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 MATH 22 – Page 3 Date Approved: 2/20/92 Date Scanned: 5/23/2005 Inactivated by Curriculum Committee 9/14/07__ If no text or a below college level text is used in 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) ____________________________ MATH 22 – Page 4 Date Approved: 2/20/92 Date Scanned: 5/23/2005 Inactivated by Curriculum Committee 9/14/07__ 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 analyze problems and determine what techniques they will use to solve the problems. Extreme problems, related-rate problems, growth and decay problems and area problems are four big areas where we spend a lot of time formulating the problems into mathematical models. Additional Recommended Texts: Student Solutions Manual Bittinger/Crown Addison-Wesley Student Solutions Manual Penna/Beccha Addison-Wesley