# SRJC Course Outlines

 9/14/2024 8:28:43 AM MATH 8B Course Outline as of Fall 1999 Changed Course CATALOG INFORMATION Discipline and Nbr:  MATH 8B Title:  BRIEF CALCULUS II Full Title:  Brief Calculus II Last Reviewed:3/29/2010

 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 17.5 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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Continuation of Math 8A. Probability and calculus; differential equations; partial derivatives; maximization with constraints; double integrals; applications; series and Taylor polynomials.  Students will not receive credit for both Math 8B and Math 1B.

Prerequisites/Corequisites:
Math 8A.

Recommended Preparation:

Limits on Enrollment:

Schedule of Classes Information
Description: Untitled document
Continuation of Math 8A. Calculus of the trigonometric functions: probability and calculus, differential equations, partial derivatives, maximization with constraints, double integrals, application, series, Taylor polynomials.

Prerequisites:Math 8A.
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 Spring 2007 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.  Apply methods of integration, including integraton by parts, partial
fractions, and use of tables or a computer algebra system.
2.  Use numerical integration to approximate definite integrals.
3.  Solve elementary differential equations, including separable and
linear differential equations.
4.  Determine partial derivatives of multivariable functions.
5.  Apply convergence tests to series with constant terms.
6.  Compute and use Taylor polynomials and Taylor series for elementary
functions.
6.  Apply integration and differentiation concepts to variance and
probability density functions.

Topics and Scope
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Descrete Topics
Sequences, Sigma notation, Binomial Theorem, Factorial notation,
Combination notation, Pascal's Triangle.
Calculus and Probability
Discrete and continuous random variables; variance and probability
density functions.
Multivariable Calculus
Analytic geometry in 3-D; functions of several variables; partial
differentiation; constrained optimization; double integrals.
Sequences and Series
Convergence, p-series; ratio test; power series and Taylor's theorem
Taylor polynomials; Newton's method.
Differential Equations
Solutions to differential equations; separation of variables;
first-order linear differential equations; applications.

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 is not limited to:
lecture, demonstrations, oral recitation, discussion, supervised
practice, independent study, outside project or other assignments.