12/10/2023 6:41:54 AM 
 Changed Course 
CATALOG INFORMATION

Discipline and Nbr:
MATH 8A  Title:
BRIEF CALCULUS 1 

Full Title:
Brief Calculus 1 
Last Reviewed:4/19/2010 
Units  Course Hours per Week   Nbr of Weeks  Course Hours Total 
Maximum  3.00  Lecture Scheduled  3.00  17.5 max.  Lecture Scheduled  52.50 
Minimum  3.00  Lab Scheduled  0  6 min.  Lab Scheduled  0 
 Contact DHR  0   Contact DHR  0 
 Contact Total  3.00   Contact Total  52.50 

 Noncontact DHR  0   Noncontact DHR Total  0 
 Total Out of Class Hours: 105.00  Total Student Learning Hours: 157.50  
Title 5 Category:
AA Degree Applicable
Grading:
Grade Only
Repeatability:
00  Two Repeats if Grade was D, F, NC, or NP
Also Listed As:
Formerly:
Catalog Description:
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Limits, continuity, differentiation, analytic geometry, maxima and minima, rates of change and differentials, integration, calculus for exponential and logarithmic functions, calculus of the trigonometric functions, applications and calculator techniques. The 8A/8B sequence constitutes a complete Brief Calculus course and is intended for students majoring in the life or social sciences. Students will not receive credit for both Math 8A and Math 1A.
Prerequisites/Corequisites:
Completion of MATH 27 or higher (VF) OR Course Completion or Current Enrollment in MATH 27 ( or MATH 57)
Recommended Preparation:
Limits on Enrollment:
Schedule of Classes Information
Description:
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Limits, continuity, differentiation, analytic geometry, maxima and minima, rates of change and differentials, integration, calculus for exponential and logarithmic functions, calculus of the trigonometric functions, applications and calculator techniques. For life or social science majors. Students will not receive credit for both Math 8A and Math 1A
(Grade Only)
Prerequisites:Completion of MATH 27 or higher (VF) OR Course Completion or Current Enrollment in MATH 27 ( or MATH 57)
Recommended:
Limits on Enrollment:
Transfer Credit:CSU;UC.
Repeatability:00  Two Repeats if Grade was D, F, NC, or NP
ARTICULATION, MAJOR, and CERTIFICATION INFORMATION
Associate Degree:  Effective:  Fall 1981
 Inactive:  Fall 2013

Area:  B MC
 Communication and Analytical Thinking Math Competency


CSU GE:  Transfer Area   Effective:  Inactive: 
 B4  Math/Quantitative Reasoning  Fall 1992  Fall 2013 

IGETC:  Transfer Area   Effective:  Inactive: 
 2A  Mathematical Concepts & Quantitative Reasoning  Fall 1993  Fall 2013 

CSU Transfer:  Transferable  Effective:  Spring 1992  Inactive:  Fall 2013 

UC Transfer:  Transferable  Effective:  Spring 1992  Inactive:  Fall 2013 

CID: 
Certificate/Major Applicable:
Major Applicable Course
COURSE CONTENT
Outcomes and Objectives:
At the conclusion of this course, the student should be able to:
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Upon successful completion of the course, students will be able to:
1. Calculate limits and use limit notation.
2. Determine derivatives of polynomial, rational, algebraic,
exponential, and logarithmic functions.
3. Use techniques of differentiation, including product, quotient,
and chain rules to determine derivatives.
4. Use derivatives to solve and analyze graphing, optimization, and
science applications.
5. Determine antiderivatives of polynomial, rational, algebraic,
exponential and logarithmic functions.
6. Evaluate definite integrals using the fundamental theorem of
calculus.
7. Apply definite integration to compute area, volume, arc length, and
to solve problems in life sciences, economics and related fields.
8. Find derivatives and integrals of trigonometric functions.
Topics and Scope
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Instructional methodology may include, but is not limited to: lecture,
demonstrations, oral recitation, discussion, supervised practice,
independent study, outside project or other assignments.
I. Precalculus
A. Real number line and order
B. Absolute value
C. Exponents and radicals
D. Polynomials
E. Rational expressions
F. Functions and graphs
G. Limits and continuity
H. Slope
I. Distance
II. The Derivative
A. Slope of a curve
B. Rates of change
C. Chain rule
D. Higher order derivatives
E. Implicit differentiation
F. Differentiation of algebraic, logarithmic and exponential
functions
G. Applications of the first and second derivative
1. Curve sketching
2. Optimization problems
3. Related rates
4. Differentials
III. The Integral
A. Antiderivatives and indefinite integrals
B. Definite integral as limit of sum
C. Integration of algebraic, logarithmic and exponential functions
D. Midpoint rule for approximating definite integrals
E. Integration by substitution
F. Applications of the definite integral
1. Area
2. Volume
3. Marginal analysis
IV. Trigonometric Functions
A. Trigonometric functions and their graphs
B. Derivative and Integral formulas for the trigonometric functions
Assignments:
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1. Daily reading outside of class (approximately 050 pages per week).
2. Problem set assignments from required text(s) or supplementary
materials chosen by the instructor.
3. Exams and quizzes.
4. Projects.
Methods of Evaluation/Basis of Grade.
Writing: Assessment tools that demonstrate writing skill and/or require students to select, organize and explain ideas in writing.  Writing 0  0% 
None  
This is a degree applicable course but assessment tools based on writing are not included because problem solving assessments are more appropriate for this course. 

Problem solving: Assessment tools, other than exams, that demonstrate competence in computational or noncomputational problem solving skills.  Problem Solving 5  20% 
Homework problems  
Skill Demonstrations: All skillbased and physical demonstrations used for assessment purposes including skill performance exams.  Skill Demonstrations 0  0% 
None  
Exams: All forms of formal testing, other than skill performance exams.  Exams 70  95% 
Multiple choice, Projects (eg, computer explor. or game analysis)  
Other: Includes any assessment tools that do not logically fit into the above categories.  Other Category 0  10% 
Projects  
Representative Textbooks and Materials:
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Text(s) required of each student will be selected by the department,
a committee of the department, or the responsible instructor from the
books currently available. Among the choices could be:
Brief Calculus With Applications (6th ed.). Larson, Ron; Hostetler,
Robert; Edwards, Bruce. HoughtonMifflin: 2003.
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