SRJC Course Outlines

 5/19/2024 1:58:35 AM MATH 2B Course Outline as of Fall 1999 Changed Course CATALOG INFORMATION Discipline and Nbr:  MATH 2B Title:  CALCULUS 4 Full Title:  Calculus, Fourth Course-Differential Equations Last Reviewed:11/28/2022

 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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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.

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: BMC Communication and Analytical ThinkingMath Competency CSU GE: Transfer Area Effective: Inactive: IGETC: Transfer Area Effective: Inactive: CSU Transfer: Transferable Effective: Fall 1981 Inactive: UC Transfer: Transferable Effective: Fall 1981 Inactive: 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.

 Writing: Assessment tools that demonstrate writing skill and/or require students to select, organize and explain ideas in writing. Writing0 - 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 Solving25 - 50% Homework problems, Exams Skill Demonstrations: All skill-based and physical demonstrations used for assessment purposes including skill performance exams. Skill Demonstrations30 - 65% Performance exams Exams: All forms of formal testing, other than skill performance exams. Exams5 - 25% Multiple choice Other: Includes any assessment tools that do not logically fit into the above categories. Other Category1 - 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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