9/14/2024 8:28:43 AM 
 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 

 Noncontact DHR  0   Noncontact 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:
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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:
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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 

CID: 
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 3D; functions of several variables; partial
differentiation; constrained optimization; double integrals.
Sequences and Series
Convergence, pseries; ratio test; power series and Taylor's theorem
Taylor polynomials; Newton's method.
Differential Equations
Solutions to differential equations; separation of variables;
firstorder 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.
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 noncomputational problem solving skills.  Problem Solving 25  50% 
Homework problems, Exams  
Skill Demonstrations: All skillbased 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:
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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:
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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