# SRJC Course Outlines

 9/14/2024 8:14:24 AM MATH 8A Course Outline as of Fall 1999 Changed Course CATALOG INFORMATION Discipline and Nbr:  MATH 8A Title:  BRIEF CALCULUS I Full Title:  Brief Calculus I 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 Non-contact DHR 0 Non-contact DHR Total 0

 Total Out of Class Hours:  105.00 Total Student Learning Hours: 157.50

Title 5 Category:  AA Degree Applicable
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. 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.

Prerequisites/Corequisites:
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

Prerequisites:MATH 27 (formerly 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: BMC Communication and Analytical ThinkingMath 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 C-ID:

Certificate/Major Applicable: Not Certificate/Major Applicable

COURSE CONTENT

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
applications.
6.  Evaluate definite integrals using the fundamental theorem of
calculus.
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.

Assignments:
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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.