MATH 238 Section 008: Appld Diff Equations I
Spring 2013
3 Credit Hours
Primary Instructor: Bikash Das
Core Designation: Mathematics
Syllabus subject to change.
An 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 engineering models and motion problems, techniques for solving higher order (2) linear differential equations with constant coefficients, reduction of order and variation of parameters; application to the mass spring systems; the Laplace transformation method to solve initial value problems with discontinuous forcing functions. A very brief introduction to the computer software MATLAB will be provided.
1. Students will be exposed to analytical methods for solving ordinary linear 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 will be 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 initial linear value problems.
1.1-1.4: Introduction
2.1-2.6: First Order Differential Equations
3.1-3.2, 3.4: Mathematical Models
4.1- 4.6, 4.9, 4.10: Linear Second Order Equations
5.1, 5.2: Introduction to Systems (Emphasis on 2X2 Matrices)
7.1-7.5, 7.7: Laplace Transformations
|
Exam |
DATE |
|
Test 1 |
Thursday, February 7, 2013 from 11:00 am to 12:15 pm (Comprehensive) |
|
Test 2 |
Thursday, February 28, 2013 from 11:00 am to 12:15 pm (Comprehensive) |
|
Test 3 |
Thursday, March 21, 2013 from 11:00 am to 12:15 pm (Comprehensive) |
|
Test 4 |
Thursday, April 18, 2013 from 11:30 am to 12:15 pm (Comprehensive) |
|
FINAL EXAM |
Thursday, May 2, 2013 from 8:00 am to 10:30 am (Comprehensive) |
Home Work:
The homework assignments will be assigned on a regular basis. Although not all homework will be collected or graded, you should do it all on time-this is a very important way to learn the material (Still I reserve the right of collecting at least two per month). Most of the test questions will be minor variations of the assigned homework problems and the problems done in class.
The breakings are as follows:
9 in Class Quizzes: 9 * 10 = 90
8 Homework assignments: 8 * 15 = 120
3 MATLAB assignments: 3 * 10 = 30
4 in class tests: 4 * 40 = 160
Final exam: 100
|
A+ |
[485,500) |
A |
[460,485) |
A- |
[450,460) |
|
|
B+ |
[435,450) |
B |
[410,435) |
B- |
[400,410) |
|
|
C+ |
[385,400) |
C |
[360,385) |
C- |
[350,360) |
|
|
D+ |
[335,350) |
D |
[310,335) |
D- |
[300,310) |
|
|
F |
[0,300) |
|||||
EXAMS:
There will be four (4) in-class exams during the semester. Make-up tests will be given on producing verifiable documents supporting any serious reasons behind the missed work. If the circumstances do not allow you to take even the makeup test on production of the verifiable reason that test score will be replaced by the Final. No student should miss more than one test for what so ever reason.
Home Work:
The homework assignments will be assigned on a regular basis. Although not all homework will be collected or graded, you should do it all on time-this is a very important way to learn the material (Still I reserve the right of collecting at least two per month). Most of the test questions will be minor variations of the assigned homework problems and the problems done in class.
ATTENDANCE:
Attendance is mandatory for all 25 classes, we will have this semester. Students are solely responsible for any work missed during an absence. Roll will be taken during every class*.
*No one will be allowed to enter the class 5 minutes after our scheduled class time and leave the class prior to calling it a DAY by me. Absolutely no Phones or any Electronic Devices. If you are in class pay attention to the lecture and participate in an interactive way of learning.
Though you will not earn any point for coming to class but more than 95%(24 classes) attendances will give you a total bonus of 20 points, More than 90% (23 classes) attendances will make it 15 bonus points and more than 85 %(22) attendances will provide 10 added bonus points.
Less than 85% (4 or more absences): No Bonus Points.
4 unexcused absences in a row and/or not doing any work in this course for two consecutive weeks will result in a ‘DO' grade for the course.
All students in attendance at the University of Alabama are expected to be honorable and to observe standards of conduct appropriate to a community of scholars. The University expects from its students a higher standard of conduct than the minimum required to avoid discipline. Academic misconduct includes all acts of dishonesty in any academically related matter and any knowing or intentional help or attempt to help, or conspiracy to help, another student.
The Academic Misconduct Disciplinary Policy will be followed in the event of academic misconduct.
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