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:
Aug 25 - 29
Homework 1.1 Some Basic Mathematical Models; Direction Fields.
1.3. Classification of Differential Equations.
2.2. Seperable Equations.
2.1. Linear Equations with Variable Coefficients.

Week #2:
Sep 1 - 5
Homework 2.3. Modeling with First Order Equations.
2.5. Autonomous Equations and Population Dynamics.

Administrative Note: Monday 1 September is Labor Day. Class will not meet.

Week #3:
Sep 8 - 12
Homework 2.4. Differences between Liner and Nonlinear Equations.
2.7. Numerical Approximations: Euler's Method.
3.1. Homogeneous Equations with Constant Coefficients.

Week #4:
Sep 15 - 19
Homework 3.2. Fundamental Solutions of Linear Homogeneous Equations.
6.1. Defenition of the Laplace Transform.
6.2. Solution of Initial Value Problems.

Week #5:
Sep 22 - 26
Homework General Solutions to Second-Order, Linear, Homogeneous Equations with Constant Coefficients.
3.8. Mechanical and Electrical Vibrations

Exam #1 will be given on Monday 22 September. The exam will be held during your regular class time.
Here are some review problems.

Week #6:
Sep 29 - Oct 3
Homework 3.6. Nonhomogeneous Equations; Method of Undetermined Coefficients.
3.9. Forced Vibrations.
6.3. Step Functions.

Week #7:
Oct 6 - 10
Homework 6.4. Differential Equations with Discontinuous Forcing Functions.
6.5. Impulse Functions.
6.6. The Convolution Integral.

Week #8:
Oct 13 - 17
Homework 10.2. Fourier Series.
10.3. The Fourier Convergence Theorem.

Administrative note: Friday 17 October is the Mid-Semester Break. Class will not meet.

Week #9:
Oct 20 - 24
Homework 10.4. Even and Odd Functions.
7.1. Introduction (to Systems of First Order Equations).

Exam #2 will be given on ~~Monday 20 October~~ Wednesday 22 October. Here are some review problems.

Week #10:
Oct 27 - 31
Homework 7.2. Review of Matrices.
7.3. Systems of Linear Algebraic Equations; Linear Independence, Eigenvalues, Eigenvectors.

Week #11:
Nov 3 - 7
Homework 7.3. Systems of Linear Algebraic Equations; Linear Independence, Eigenvalues, Eigenvectors.
7.4. Basic Theory of Systems of First Order Linear Equations.
7.5. Homogeneous Linear Systems with Constant Coefficients.
7.6. Complex Eigenvalues.

Administrative Note: Monday 3 November is the Course Drop and Pass/Fail grade option deadline. Grade of "W" is assigned after this date.

Week #12:
Nov 10 - 14
Homework 7.8. Repeted Eigenvalues.
Linear First order Systems and Second Order Equations.
9.1. The Phase Plane; Linear Systems.

Week #13:
Nov 17 - 21
Homework Chapter 10, Appendix A. Derivation of the Heat Equations
10.5. Heat Conduction in a Rod.

Administrative Note: November 17 - 21 is Spring 2004 Registration Week.
Exam #3 will be given on Monday 17 November. Here is a study guide. More items may be added, so check back.

Week #14:
Nov 24 - 28
Homework 10.1. Two Point Boundary Value Problems.

Administrative Note: November 26 - 28 is the Thanksgiving Holiday. Class will not meet on these days.

Week #15:
Dec 1 - 5
Homework 10.6. Other Heat Conduction Problems.
10.7. The Wave Equation; Vibrations of an Elastic String.
.

Administrative note: Friday 5 December is the last day of class.
Friday 5 December is also the course drop deadline to receive a "W" grade.

Final Exam
December 8 The Final Exam will be given on Monday 8 December, from 8:30-11:30am, in PH 100. When making your travel plans, you should make sure there is no need for you to leave before then. Here are some review problems.

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Week #1: Aug 25 - 29 Homework	1.1 Some Basic Mathematical Models; Direction Fields. 1.3. Classification of Differential Equations. 2.2. Seperable Equations. 2.1. Linear Equations with Variable Coefficients.
Week #2: Sep 1 - 5 Homework	2.3. Modeling with First Order Equations. 2.5. Autonomous Equations and Population Dynamics. Administrative Note: Monday 1 September is Labor Day. Class will not meet.
Week #3: Sep 8 - 12 Homework	2.4. Differences between Liner and Nonlinear Equations. 2.7. Numerical Approximations: Euler's Method. 3.1. Homogeneous Equations with Constant Coefficients.
Week #4: Sep 15 - 19 Homework	3.2. Fundamental Solutions of Linear Homogeneous Equations. 6.1. Defenition of the Laplace Transform. 6.2. Solution of Initial Value Problems.
Week #5: Sep 22 - 26 Homework	General Solutions to Second-Order, Linear, Homogeneous Equations with Constant Coefficients. 3.8. Mechanical and Electrical Vibrations Exam #1 will be given on Monday 22 September. The exam will be held during your regular class time. Here are some review problems.
Week #6: Sep 29 - Oct 3 Homework	3.6. Nonhomogeneous Equations; Method of Undetermined Coefficients. 3.9. Forced Vibrations. 6.3. Step Functions.
Week #7: Oct 6 - 10 Homework	6.4. Differential Equations with Discontinuous Forcing Functions. 6.5. Impulse Functions. 6.6. The Convolution Integral.
Week #8: Oct 13 - 17 Homework	10.2. Fourier Series. 10.3. The Fourier Convergence Theorem. Administrative note: Friday 17 October is the Mid-Semester Break. Class will not meet.
Week #9: Oct 20 - 24 Homework	10.4. Even and Odd Functions. 7.1. Introduction (to Systems of First Order Equations). Exam #2 will be given on ~~Monday 20 October~~ Wednesday 22 October. Here are some review problems.
Week #10: Oct 27 - 31 Homework	7.2. Review of Matrices. 7.3. Systems of Linear Algebraic Equations; Linear Independence, Eigenvalues, Eigenvectors.
Week #11: Nov 3 - 7 Homework	7.3. Systems of Linear Algebraic Equations; Linear Independence, Eigenvalues, Eigenvectors. 7.4. Basic Theory of Systems of First Order Linear Equations. 7.5. Homogeneous Linear Systems with Constant Coefficients. 7.6. Complex Eigenvalues. Administrative Note: Monday 3 November is the Course Drop and Pass/Fail grade option deadline. Grade of "W" is assigned after this date.
Week #12: Nov 10 - 14 Homework	7.8. Repeted Eigenvalues. Linear First order Systems and Second Order Equations. 9.1. The Phase Plane; Linear Systems.
Week #13: Nov 17 - 21 Homework	Chapter 10, Appendix A. Derivation of the Heat Equations 10.5. Heat Conduction in a Rod. Administrative Note: November 17 - 21 is Spring 2004 Registration Week. Exam #3 will be given on Monday 17 November. Here is a study guide. More items may be added, so check back.
Week #14: Nov 24 - 28 Homework	10.1. Two Point Boundary Value Problems. Administrative Note: November 26 - 28 is the Thanksgiving Holiday. Class will not meet on these days.
Week #15: Dec 1 - 5 Homework	10.6. Other Heat Conduction Problems. 10.7. The Wave Equation; Vibrations of an Elastic String. . Administrative note: Friday 5 December is the last day of class. Friday 5 December is also the course drop deadline to receive a "W" grade.
Final Exam December 8	The Final Exam will be given on Monday 8 December, from 8:30-11:30am, in PH 100. When making your travel plans, you should make sure there is no need for you to leave before then. Here are some review problems.