# SRJC Course Outlines

 9/13/2024 10:06:32 PM MATH 2 Course Outline as of Fall 2010 Changed Course CATALOG INFORMATION Discipline and Nbr:  MATH 2 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:  MATH 2B

Catalog Description:
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First and second order differential equations with applications, series solutions, numerical methods, introduction to Laplace transforms, systems of differential equations with applications.

Prerequisites/Corequisites:
Course Completion of MATH 1C OR 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:Course Completion of MATH 1C OR 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: Major Applicable Course

COURSE CONTENT

Outcomes and Objectives:
At the conclusion of this course, the student should be able to:
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Upon completion of the course, students will 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.
7.  Solve systems of differential equations.

Topics and Scope
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I.    Ordinary Differential Equations
A. Linear differential equations with applications
B. Slope fields
C. Numerical methods including 4th order Runge-Kutta
II.   Introduction to Laplace Transforms
A. Laplace transform and inverse
B. Use of tables
C. Application to linear differential equations
III.  Series Solutions to Differential Equations
Taylor series solutions to differential equations
IV.  Systems of Differential Equations
A. Analysis of phase portraits
B. Solution by matrices
C. The operator method or Laplace transforms
D. Use of systems to solve higher order linear ordinary differential
equations
E. Applications
1. coupled spring-mass systems
2. compartment analysis
3. other applications

Assignments:
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1.  Daily reading outside of class (20-50 pages per week).
2.  Problem set assignments from required text(s) or supplementary
materials chosen by the instructor (1-6 per week).
3.  Quizzes (0-4 per week).
4.  Exams (3-8 per term).
5.  Projects (for example, computer explorations or modeling activities, 0-10 per term).