SRJC Course Outlines

10/31/2020 12:55:53 AMMATH 2 Course Outline as of Fall 2010

Changed Course
CATALOG INFORMATION

Discipline and Nbr:  MATH 2Title:  CALCULUS 4  
Full Title:  Calculus, Fourth Course-Differential Equations
Last Reviewed:9/14/2020

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:  MATH 2B

Catalog 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/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.
(Grade Only)

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: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: Major Applicable Course



COURSE CONTENT

Outcomes and Objectives:
Upon completion of the course, students will 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).

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

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