MATH 238 Section 052: Appld Diff Equations I
Summer 2013
3 Credit Hours
Primary Instructor: Dr. Roger Sidje
Core Designation: Mathematics
Syllabus subject to change.
Introduction to analytic methods for solving differential equations. Topics include the numerical Euler’s method, qualitative behavior of first order equations, analytic techniques for separable and linear equations, applications to population models and motion problems; techniques for solving higher order linear differential equations with constant coefficients such as the method of undetermined coefficients, reduction of order and variation of parameters; applications to mass-spring systems; the Laplace transform method to solve initial value problems with discontinuous forcing functions. A brief introduction to the computer software MATLAB will be provided at the beginning of the semester. Students are usually required to carry out several projects related to the course material using MATLAB.
GENERAL LEARNING OUTCOMES:
1. Students will be able to identify key concepts in the sciences and mathematics to provide a broad perspective on the human condition.
2. Students will be able to characterize scholarly research methods.
3. Students will be able to model physical and natural phenomena using the language of mathematics.
4. Students will be able to collaborate and perform effectively in team activities.
LEARNING OUTCOMES:
1. Students will be exposed to analytical methods for solving linear ordinary differential equations.
2. Students will learn to classify an ordinary differential equation in terms of its degree, linear or nonlinear, homogeneous or non-homogeneous and pick the technique most likely to solve it.
3. Students will learn the basics of the software MATLAB and how to utilize it to solve initial value problems.
4. Students are introduced to the concept of mathematical modeling of simple physical, chemical and biological phenomena.
5. Students will learn basic numerical techniques and make use of them to solve linear initial value problems.
CHAPTERS COVERED:
1. Introduction, Sections 1, 2, 3, 4,
2. First-order Differential Equations, sections 1, 2, 3 and Bernoulli equations
3. Mathematical Models, sections 1, 2 and either 3 or 4.
4. Linear Second-order Equations, sections 2, 3, 4, 5, 6, 1, 9 and 10.
5. Introduction to Systems, sections 1 and 2 (emphasize 2x2 systems only).
7. Laplace Transforms, sections 1, 2, 3, 4, 5, 6, 9, 7 and 8.
Set T = Average of tests.
Set F = Final exam grade.
|
90 ≤ A- < 931/3 |
931/3 ≤ A < 962/3 |
962/3 ≤ A+ ≤ 100 |
|
80 ≤ B- < 831/3 |
831/3 ≤ B < 862/3 |
862/3 ≤ B+ < 90 |
|
70 ≤ C- < 731/3 |
731/3 ≤ C < 762/3 |
762/3 ≤ C+ < 80 |
|
60 ≤ D- < 631/3 |
631/3 ≤ D < 662/3 |
662/3 ≤ D+ < 70 |
|
0 ≤ F < 60 |
||
Makeup exams are given only in the event of serious illness with a Doctor’s excuse or other extreme cases, and only if timely notification is given.
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