12/27/2024 1:25:30 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
Grading:  Grade Only
Repeatability:  00 - Two Repeats if Grade was D, F, NC, or NP
Also Listed As: 
Formerly: 

Catalog Description:

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:

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.

(Grade Only)
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:	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		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:

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

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:

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.

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 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%
WRITING ASSIGNMENTS

Representative Textbooks and Materials:

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/Hostetler, Heath, 1998

Calculus with Applications and Sequences and Series, 6th Edition

by Lial/Miller/Greenwell, Harper Collins, 1998.

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