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