SRJC Course Outlines

5/19/2024 1:58:35 AMMATH 2B Course Outline as of Fall 1999

Changed Course
CATALOG INFORMATION

Discipline and Nbr:  MATH 2BTitle:  CALCULUS 4  
Full Title:  Calculus, Fourth Course-Differential Equations
Last Reviewed:11/28/2022

UnitsCourse Hours per Week Nbr of WeeksCourse Hours Total
Maximum3.00Lecture Scheduled3.0017.5 max.Lecture Scheduled52.50
Minimum3.00Lab Scheduled017.5 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: 
Formerly: 

Catalog Description:
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First and second order differential equations with applications. Series solution, numerical methods, introduction to Laplace transforms. Systems of differential equations with applications.

Prerequisites/Corequisites:
Math 2A.


Recommended Preparation:

Limits on Enrollment:

Schedule of Classes Information
Description: Untitled document
First and second order differential equations with applications, series solutions, numerical methods, introduction to Laplace transforms, systems of differential equations with applications.
(Grade Only)

Prerequisites:Math 2A.
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: 
 Area:B
MC
Communication and Analytical Thinking
Math Competency
 
CSU GE:Transfer Area Effective:Inactive:
 
IGETC:Transfer Area Effective:Inactive:
 
CSU Transfer:TransferableEffective:Fall 1981Inactive:
 
UC Transfer:TransferableEffective:Fall 1981Inactive:
 
C-ID:
 CID Descriptor: MATH 240 Ordinary Differential Equations SRJC Equivalent Course(s): MATH2

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.  Identify differential equations as to order type and kind.
2.  Solve elementary differential equations, including separable and
   linear differential equations.
3.  Model and solve applied problems involving ordinary differential
   equations.
4.  Use numerical techniques to approximate solutions to differential
   equations.
5.  Solve initial value problems using Laplace Transforms with tables.
6.  Apply Taylor series to solve differential equations around both
   singular and nonsingular points.
7.  Solve systems of differential equations using matrix techniques and
   Laplace transforms.
8.  Distinguish Euler-Cauchy differential equations from Euley-Caucher
   differential equations.

Topics and Scope
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1.  Ordinary Differential Equations.
    Linear differential equations with applications, special types of
    nonlinear differential equations, numerical methods including 4th
    order Runge-Kutta.
2.  Introduction to Laplace Transform.
    Laplace transform and inverse, use of tables, application to linear
    differential equations.
3.  Series solutions of Differential Equations.
    Differential equations with Taylor's series solutions, method of
    Frobenius, Bessel and Legendre differential equations.
4.  Systems of Diffential Equations.
    Solution by (the operator method, Laplace transform, and matrices).
    Applications to include coupled spring-mass systems and compartment
    analysis.

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.

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 - 65%
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
1 - 10%
WRITING ASSIGNMENTS


Representative Textbooks and Materials:
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Text(s) required of each student will be selected by the departme
a committee of the department, or the responsible instructor from the
books currently available. Choices in the past have included:
FIRST COURSE IN DIFFERENTIAL EQUATIONS WITH APPLICATIONS,(6th) by
by Zill: PWS, 1997.
DIFFERENTIAL EQUATIONS: Computing and Molding (2nd) Edwards and Penney.
Prentice-Hall, Inc, 1998.

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