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 16 - 20
Homework
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1.1 Some Basic Mathematical Models; Direction Fields.
1.3. Classification of Differential Equations.
2.2. Seperable Equations.
Administrative Note: Monday 16 January is Martin Luther King Day. The
12:30 section will not meet on Monday. In order to keep the two sections
synchronized, the 10:30 section will not meet on Wednesday 18 January.
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Week #2:
Jan 23 - 27
Homework
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2.1. Linear Equations with Variable Coefficients.
2.3. Modeling with First Order Equations.
2.5. Autonomous Equations and Population Dynamics.
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Week #3:
Jan 30 - Feb 3
Homework
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2.4. Differences between Liner and Nonlinear Equations.
2.7. Numerical Approximations: Euler's Method.
7.1. Introduction (to Systems of First Order Equations).
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Week #4:
Feb 6 - 10
Homework
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7.2. Review of Matrices.
7.3. Systems of Linear Algebraic Equations; Linear Independence, Eigenvalues, Eigenvectors.
7.5. Homogeneous Linear Systems with Constant Coefficients.
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Week #5:
Feb 13 - 17
Homework
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7.4. Basic Theory of Systems of First Order Linear Equations.
7.6. Complex Eigenvalues.
Exam #1 will be given on Wednesday 15 February.
The exam will be held during your regular class time.
Here are some review problems.
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Week #6:
Feb 20 - 24
Homework
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7.8. Repeted Eigenvalues.
9.1. The Phase Plane; Linear Systems.
9.2. Autonomous Systems and Stability.
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Week #7:
Feb 27 - Mar 3
Homework
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9.3. Almost Linear Systems.
3.1. Homogeneous Equations with Constant Coefficients.
3.4. Complex Roots of the Characteristic Equation.
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Week #8:
Mar 6 - 10
Homework
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3.5. Repeated Roots; Reduction of Order.
3.2. Fundamental Solutions of Linear Homogeneous Equations.
Administrative note: Friday 10 March is the Mid-Semester Break.
Class will not meet. Additionally, March 13 -17 is Spring Break. Classes
will resume on March 20.
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Week #9:
Mar 20 - 24
Homework
|
3.8. Mechanical and Electrical Vibrations.
3.6. Nonhomogeneous Equations; Method of Undetermined Coefficients.
Exam #2 will be given on Wednesday 22 March.
Here are some review problems.
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Week #10:
Mar 27 - 31
Homework
|
3.9. Forced Vibrations.
6.1. Defenition of the Laplace Transform.
6.2. Solution of Initial Value Problems.
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Week #11:
Apr 3 - 7
Homework
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6.3. Step Functions.
6.4. Differential Equations with Discontinuous Forcing Functions.
6.5. Impulse Functions.
Administrative Note: Monday 3 April is the Course Drop and Pass/Fail
grade option deadline. Grade of "W" is assigned after this date.
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Week #12:
Apr 10 - 14
Homework
|
6.6. The Convolution Integral.
10.2. Fourier Series.
Exam #3 will be given on Wednesday 19
April Friday 14 April. Here is a study guide.
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Week #13:
Apr 17 - 21
Homework
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10.3. The Fourier Convergence Theorem.
.
Exam #3 will be given on Wednesday 19 April.
Administrative Note: May 21 is Spring Carnival. Class will not meet.
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Week #14:
Apr 24 - 28
Homework
|
10.4. Even and Odd Functions.
10.1. Two Point Boundary Value Problems.
10.5. Heat Conduction in a Rod.
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Week #15:
Mar 1 - 5
Homework
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10.6. Other Heat Conduction Problems.
10.7. The Wave Equation; Vibrations of an Elastic String.
Administrative note: Friday 5 May is the last day of class.
Friday 5 May is also the course drop deadline to receive a "W" grade.
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Final Exam
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The Final Exam has been scheduled for Friday
12 May, from 8:30-11:30am in UC McConomy. Please take this into account
when making your travel plans.
Here are some
review problems.
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