21-260: Differential Equations

Schedule and Homework

For each week there will be a link to a page with a reading assignment and a homework assignment.

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.

Back to Differential Equations web site

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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.