This schedule is tentative. It will get more accurate as the semester
progresses. No week's topics should be taken as final until the homework
is linked.
 Week #1:
Jan 13 - 17
Homework
|
1.1. Prologue: What are Differential Equations?
1.2. Four Introductory Models
Administrative Note: Lecture 1 (10:30) will not meet on Friday
17 January.
Lecture 2 (12:30) will meet as normal.
|
Week #2:
Jan 20 - 24
Homework
|
1.3. Fundamental Concepts and Terminology
2.1. Methods of Solution
Administrative Note: Monday 20 January is Martin Luther King Day.
Lecture 2 (12:30) will not meet.
Lecture 1 (10:30) will meet as normal.
|
Week #3:
Jan 27 - Jan 31
Homework
|
2.2.2. Mixing Problems
3.1. Direction Fields and Numerical Approximation
|
Week #4:
Feb 3 - 7
Homework
|
3.2. Separable Equations
3.5. Nonlinear First-order Equations in Applications
4.2. Existence and Uniqueness
Exam #1 will be given on Wednesday 5
February. The exam will be held during your regular class time in
the University Center's McConomy Auditorium.
A review session will be held on Monday 3 February, from 7:30-9:00 in
DH 2315.
Here are some review problems.
|
Week #5:
Feb 10 - 14
Homework
|
4.3. Qualitative and Asymptotic Behavior
4.4. The Logistic Population Model
5.1. Introduction: Modeling Vibrations
|
Week #6:
Feb 17 - 21
Homework
|
5.2. State Variables and Numerical Approximations
5.3. Operators and Linearity
|
Week #7:
Feb 24 - Feb 28
Homework
|
5.4. Solutions and Linear Dependence
6.1. Homogeneous Equations with Constant Coefficients
6.2. Exponential Shift
|
Week #8:
Mar 3 - 7
Homework
|
6.3. Complex Roots
Exam #2 will be given on Wednesday,
March 5.
Here are some review problems.
Administrative note: Friday, March 7 is the Mid-Semester Break.
Class will not meet.
|
Week #9:
Mar 10 - 14
Homework
|
6.4. Real Solutions from Complex Solutions
6.5. Unforced Vibrations
6.6. Periodic Force and Responce
|
Week #10:
Mar 17 - 21
Homework
|
7.1. Definition and Pasic Properties (of the Laplace Transform)
7.2. More Transforms and Further Properties
|
|
Mar 24 - 28
|
Spring Break
|
Week #11:
Mar 31 - Apr 4
Homework
|
7.3. Heavyside Functions and Piecewise-Defined Inputs
7.4. Periodic Inputs
|
Week #12:
Apr 7 - 11
Homework
|
7.5. Impulses and the Dirac Distribution
Exam #3 will be given on Wednesday,
April 9.
Here is a study guide. More items may be added,
so check back.
|
Week #13:
Apr 14 - 18
Homework
|
7.6. Convolution
11.1. The Basic Diffusion Problem
11.2. Solutions by Separation of Variables
|
Week #14:
Apr 21 - 25
Homework
|
11.3. Fourier Series
11.4. Fourier Sine and Cosine Series
11.5. Sturm-Liouville Problems
|
Week #15:
Apr 28 - May 2
Homework
|
11.6. Singular Sturm-Liouville Problems
11.7. Eigenfunction Expansions
12.1. The Wave Equation
12.2. The 2-D Laplace Equation
12.3. The 2-D Diffusion Equations
Administrative note: Friday, May 2 is the last day of class.
|
| May 13
|
The Final Exam will be given on Tuesday,
May 14, from 1:00pm to 4:00pm, in UC McConomy. Here are some
review problems.
|
Display a 
