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 15 - 19
Homework
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Introduction to Differential Equations. (1.1, 1.3)
Seperable Equations. (2.2, 1.1)
Administrative Note: Monday 15 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 22 - 26
Homework (updated)
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Mathematical Modeling. (2.3)
Linear First Order Differential Equations. (2.1)
Existence and Uniqueness Theorems. (2.4, 2.8)
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Week #3:
Jan 29 - Feb 2
Homework
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Autonomous Differential Equations and Population Modeling. (2.5)
Euler's Method. (2.7)
Systems of First Order Equations. (7.1)
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Week #4:
Feb 5 - 9
Homework
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Vectors and Matrices. (7.2)
Systems of Algebraic Equations. (7.3)
Linear Independence of Vectors. (7.3)
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Week #5:
Feb 12 - 16
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Eigenvalues and Eigenvectors. (7.3)
Homogeneous Linear Systems with Constant Coefficients. (7.5)
Exam #1 will be given on Wednesday 14 February.
The exam will be held during your regular class time.
Here are some review problems.
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Week #6:
Feb 19 - 23
Homework
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The Phase Plane and Linear Systems. (9.1)
Basic Theory of First Order Linear Systems. (7.4)
Systems with Complex Eigenvalues. (7.6)
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Week #7:
Feb 26 - Mar 2
Homework
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Systems with Repeted Eigenvalues. (7.8)
Stability of Equilibria and "Almost Linear Systems" (9.2, 9.3)
Linear Equations and Linear Systems. (3.1)
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Week #8:
Mar 5 - 9
Homework
|
General Solutions for Second Order Linear Systems. (3.2, 3.3, 3.4, 3.5)
Initial Value Problems and Boundary Value Problems. (10.1)
Administrative note: Friday 9 March is the Mid-Semester Break.
Class will not meet.
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Spring Break
Mar 12 - 16
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March 12 -16 is Spring Break. Classes
will resume on March 19.
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Week #9:
Mar 19 - 23
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Mechanical and Electrical Vibrations. (3.8)
Method of Undetermined Coefficients. (3.6)
Exam #2 will be given on Wednesday 21 March.
Here are some review problems.
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Week #10:
Mar 26 - 30
Homework
|
Forced Vibrations. (3.9)
Defenition of the Laplace Transform. (6.1)
Transforms of Derivatives and Initial Value Problems. (6.2)
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Week #11:
Apr 2 - 6
Homework
|
Linear, Second Order, Constant Coefficient Equations
Discontinuous Forcing Functions and Impulse Functions. (6.3, 6.4, 6.5)
Recap and Other Laplace Transform Topics.
Administrative Note: Monday 2 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 9 - 13
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The Convolution Integral. (6.6)
Fourier Series. (10.2)
The Fourier Convergence Theorem. (10.3)
Exam #3 will be given on Friday 13
April.
Here are some review problems.
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Week #13:
Apr 16 - 20
Homework
|
Fourier Sine and Cosine Series. (10.4)
Administrative Note: Friday April 20 is Spring Carnival. Class will not
meet on that day. Recitations are also canceled on Thursday 19 April.
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Week #14:
Apr 23 - 27
Homework
|
The Heat Equation. (10.5)
Separation of Variables. (10.5)
Solutions to the Heat Equation. (10.6)
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Week #15:
Apr 30 - Mar 4
Homework
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The Wave Equation. (10.7)
Solutions to the Wave Equation. (10.7)
Administrative note: Friday 4 May is the last day of class.
Friday 4 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 Monday
7 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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