12/21/2024 10:55:01 AM	MATH 2B Course Outline as of Fall 2008	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
Grading:  Grade Only
Repeatability:  00 - Two Repeats if Grade was D, F, NC, or NP
Also Listed As: 
Formerly: 

Catalog Description:

First and second order differential equations with applications, series solutions, 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:

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:	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:

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

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:

1.  Daily reading outside of class (approximately 20-50 pages per week).

2.  Problem set assignments from required text(s) or supplementary

     materials chosen by the instructor (approximately 1-6 per week).

3.  Quizzes (approximately 0-4 per week).

4.  Exams (approximately 3-8 per term).

5.  Projects (for example, computer explorations or modeling activities,

      approximately 0-10 per term).

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 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 5 - 20%
Homework problems
Skill Demonstrations: All skill-based and physical demonstrations used for assessment purposes including skill performance exams.		Skill Demonstrations 0 - 0%
None
Exams: All forms of formal testing, other than skill performance exams.		Exams 70 - 95%
Multiple choice and free response exams; quizzes
Other: Includes any assessment tools that do not logically fit into the above categories.		Other Category 0 - 10%
Projects

Representative Textbooks and Materials:

Differential Equations (3rd).  Blanchard, Devaney, Hall. Thomson:  2006.

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