| 4/19/2024 12:15:58 AM |
| 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:
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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:
Math 2A.
Recommended Preparation:
Limits on Enrollment:
Schedule of Classes Information
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.
(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:
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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 (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:
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Differential Equations (3rd). Blanchard, Devaney, Hall. Thomson: 2006.
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