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|Discipline and Nbr:
BRIEF CALCULUS 1||
Brief Calculus 1
|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
| ||Non-contact DHR||0|| ||Non-contact DHR Total||0
Title 5 Category:
AA Degree Applicable
00 - Two Repeats if Grade was D, F, NC, or NP
Also Listed As:
| ||Total Out of Class Hours: 105.00||Total Student Learning Hours: 157.50||
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.
Completion of MATH 27 or higher (VF) OR Course Completion or Current Enrollment in MATH 27 ( or MATH 57)
Limits on Enrollment:
Schedule of Classes Information
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
Prerequisites:Completion of MATH 27 or higher (VF) OR Course Completion or Current Enrollment in MATH 27 ( or MATH 57)
Limits on Enrollment:
Repeatability:00 - Two Repeats if Grade was D, F, NC, or NP
ARTICULATION, MAJOR, and CERTIFICATION INFORMATION
Major Applicable Course
Outcomes and Objectives:
At the conclusion of this course, the student should be able to:
|Associate Degree:||Effective:||Fall 1981||Inactive:||Fall 2013
|Communication and Analytical Thinking
|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
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
5. Determine antiderivatives of polynomial, rational, algebraic,
exponential and logarithmic functions.
6. Evaluate definite integrals using the fundamental theorem of
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
Instructional methodology may include, but is not limited to: lecture,
demonstrations, oral recitation, discussion, supervised practice,
independent study, outside project or other assignments.
A. Real number line and order
B. Absolute value
C. Exponents and radicals
E. Rational expressions
F. Functions and graphs
G. Limits and continuity
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
G. Applications of the first and second derivative
1. Curve sketching
2. Optimization problems
3. Related rates
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
3. Marginal analysis
IV. Trigonometric Functions
A. Trigonometric functions and their graphs
B. Derivative and Integral formulas for the trigonometric functions
1. Daily reading outside of class (approximately 0-50 pages per week).
2. Problem set assignments from required text(s) or supplementary
materials chosen by the instructor.
3. Exams and quizzes.
Methods of Evaluation/Basis of Grade.
Representative Textbooks and Materials:
|Writing: Assessment tools that demonstrate writing skill and/or require students to select, organize and explain ideas in writing.||Writing
0 - 0%
|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 non-computational problem solving skills.||Problem Solving
5 - 20%
|Skill Demonstrations: All skill-based and physical demonstrations used for assessment purposes including skill performance exams.||Skill Demonstrations
0 - 0%
|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%
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. Houghton-Mifflin: 2003.