SYLLABUS FOR MATH 301
DIFFERENTIAL EQUATIONS
Fall 2001

Prerequisite: MATH 202

Text: Introduction to Ordinary Differential Equations by Stephen L.Campbell
Houghton Miffin, 1996

Instructor: Dr. Meenakshi Rajagopolan (Room 400, Ext. 454)

Class Meetings:The class meets on Tu, Th, from 11:00 a.m. - 12:15 in G.O.H 414

Office hours: M.W. 10:00-1:00, F. 10:00-11:00, 12:00-1:00

Course Description: The following topics are covered in this course: Differential equations of the first and second order with application, optional topics include power series method, numerical methods , boundary value problems and Laplace Tranformation.

Course Outline: Chapters 1, 2, 3 (sec 1, 2, 3), 4 (sec 5), 5 (sec2).

Objectives
1. Use diffrent problem solving approaches to help students investigate and understand mathematics.

2. Use graphing calculators as tools for learning mathematics.

3. Use group discussions among students to extend mathematical understanding .

4. Make and evaluate mathematical conjectures and arguments to validate mathematical thinking.

5.Show and understanding of interrelationship within mathematics, and connect mathematics to diffrent disciplines such as physics, Cemistry, business etc.

.Classroom Procedure: Part of the class period will be spent on lecture and the rest will be spent on problem solving by students.

Evaluation of Students: The students will be graded on:

i. Three class tests (60% of the final grade)

ii. A comprehensive final (20% of the final grade)

iii. Classroom participation, homework assignments, quizzes and proper English usage      (20% of final grade.)

90 - 100 = A; 80 - 89 = B; 70 - 79 = C; 60 - 69 = D; Below 60 = F

Attendance: Students are expected to come to all classes on time. Each unexcused absence after the fourth will result in the deduction of one point from the student's average. Late attendance is also counted as absences.

Recommended supplementary reading

Any Differential Equation book published after 1995

                                                             Lesson Plan
 

Lesson 1: Introduction to Ordinary differential Equations,
                 Definite Integral and the initial value Problem.

Lesson 2: First-Order Separable Differential Equations.

Lesson 3: First - Order Linear Differential Equations.

Lesson 4: Linear First-Order Differential Equations with Constant Coefficients

Lesson 5: Applications: Growth And Decay problems

Lesson 6: Applications: Mechanics

Lesson 7: Exact Equations

Lesson 8: Integrating Factors for Exact Equations

Lesson 9: General Solutions Of second Order Linear Differential Equations

Lesson 10: Reduction of Order

Lesson 11: Homogeneous Linear second Order equation With Constant Coefficients

Lesson 12: Homogeneous Linear nth Order equation With Constant Coefficients

Lesson 13:Mechanical Vibrations

Lesson 14: Undetermined Coefficients, UsingAnnihilators

Lesson 15: Euler Equations (Second Order)

Lesson 16: Variation of parameters

Lesson 17: Laplace Transform and Inverse Laplace Transform

Lesson 18: Solving Differential Equations with Laplace Transforms

Lesson 19: Series Solution at anOrdinary Point X=0

Lesson 20: Linear Systems of Differential Equations