SRJC Course Outlines

4/16/2024 3:45:58 PMMATH 8A Course Outline as of Fall 1999

Changed Course

Discipline and Nbr:  MATH 8ATitle:  BRIEF CALCULUS I  
Full Title:  Brief Calculus I
Last Reviewed:4/19/2010

UnitsCourse Hours per Week Nbr of WeeksCourse Hours Total
Maximum3.00Lecture Scheduled3.0017.5 max.Lecture Scheduled52.50
Minimum3.00Lab Scheduled06 min.Lab Scheduled0
 Contact DHR0 Contact DHR0
 Contact Total3.00 Contact Total52.50
 Non-contact DHR0 Non-contact DHR Total0

 Total Out of Class Hours:  105.00Total 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: 

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. This sequence is intended for majors in the life sciences and social sciences. Students will not receive credit for both MATH  8A and MATH 1A.

MATH 27 (formerly MATH 57).

Recommended Preparation:

Limits on Enrollment:

Schedule of Classes Information
Description: Untitled document
Limits, differentiation, analytic geometry, integration, exponential and logarithmic functions, applications.  For life and social science majors. Students will not receive credit for both Math 8A and Math 1A
(Grade Only)

Prerequisites:MATH 27 (formerly MATH 57).
Limits on Enrollment:
Transfer Credit:CSU;UC.
Repeatability:00 - Two Repeats if Grade was D, F, NC, or NP


Associate Degree:Effective:Fall 1981
Inactive:Fall 2013
Communication and Analytical Thinking
Math Competency
CSU GE:Transfer Area Effective:Inactive:
 B4Math/Quantitative ReasoningFall 1992Fall 2013
IGETC:Transfer Area Effective:Inactive:
 2AMathematical Concepts & Quantitative ReasoningFall 1993Fall 2013
CSU Transfer:TransferableEffective:Spring 1992Inactive:Fall 2013
UC Transfer:TransferableEffective:Spring 1992Inactive:Fall 2013

Certificate/Major Applicable: Not Certificate/Major Applicable


Outcomes and Objectives:
At the conclusion of this course, the student should be able to:
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To be successful, students should be able to:
1.  Calculate limits and use limit notation.
2.  Determine derivatives of polynomial, rational, algebraic,
   exponential, and logarrithmic functions.
3.  Use techniques of differentiation, including product, quotient,
   and chain rules.
4.  Determine antiderivatives of polynomial, rational algebraic,
   exponential, and logarithmic functions.
5.  Apply derivatives to graphing, optimization, and science
6.  Evaluate definite integrals using the fundamental theorem of
7.  Apply definite integration to compute area, volume, arc length, and
   solve problems in life sciences, economics, and related fields.

Topics and Scope
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1.  Precalculus
    The real number line and order; absolute value; exponents and
    radicals; polynomials; rational expressions; functions; graphs;
    limits; continuity; slope; distance.
2.  The Derivative
    Slope of a curve; rates of change; chain rule; higher order
    derivatives; implicit differentiation; related rates.
    Differentiation of algebraic, logarithmic and exponential functions.
    Applications of the first and second derivative to curve
    sketching, optimization problems, related rates and differentials.
3.  The Integral
    Antiderivatives and indefinite integrals; definite integral as
    limit of sum.  Integration of algebraic, logarithmic and
    exponential functions.  Method of integration; substitution.
    Applications of the definite integral to area and volume.
4.  Trigonometric Functions
    Trigonometric functions and their graphs.  Derivative and Integral
    formulas for the trigonometric functions.

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1.  The student will have daily outside reading, problem set assignments
   from required text(s), or instructor chosen supplementary materials.
2.  Instructional methodology may include, but not limited to:  lecture,
   demonstrations, oral recitation, discussion, supervised practice,
   independent study, outside project or other assignments.

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%
This is a degree applicable course but assessment tools based on writing are not included because problem solving assessments and skill demonstrations 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
25 - 50%
Homework problems, Exams
Skill Demonstrations: All skill-based and physical demonstrations used for assessment purposes including skill performance exams.Skill Demonstrations
30 - 70%
Performance exams
Exams: All forms of formal testing, other than skill performance exams.Exams
5 - 25%
Multiple choice
Other: Includes any assessment tools that do not logically fit into the above categories.Other Category
0 - 10%

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:

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