# Math 246 Homework and Syllabus, Fall 2009

(22 November version)

Below are the weekly homework assignments. These will not be collected. However the material from the homework will appear on the quizzes and exams. The dates given are when the material is first scheduled to be tested on either an exam or a quiz. Quiz material should be covered during the lectures and discussion sections just before the quiz. You are responsible for the material even if the University closes on the day of the discussion section. It is a good idea to look over all material before it is covered in the lectures.

These assignments are subject to changes announced either in class or on this webpage.

## Homework Assignments

Assignments on Topics Covered on the First Exam (Thursday, 24 September)

• Quiz on Tuesday, 8 September (Classification, Linear, Separable)
Boyce and DiPrima (BD) Section 1.3 --- 1-7, 9, 11, 17
BD Section 2.1 --- 3c, 6c, 9c, 12c, 15, 30-33
BD Section 2.2 --- 1-4,6-19, 22, 23
BD Section 2.4 --- 3, 6, 9, 12, 15, 22

• Quiz on Tuesday, 15 September (Graphical Methods, and Applications)
BD Section 1.1 --- 16, 18, 20, 26, 29, 31
BD Section 2.3 --- 2, 3, 5, 9, 10, 11, 13, 16, 23
BD Section 2.5 --- 1, 3, 5, 7, 9, 13, 20, 23

• Quiz on Tuesday, 22 September (Numerical Methods)
BD Section 8.1 --- 1, 7, 9, 23
BD Section 8.2 --- 1, 7, 9, 14
BD Section 8.3 --- 1, 7, 9
BD Section 2.6 (Exact Equations) --- 1, 2, 3, 4, 5, 6, 7, 8, 9

• Exam on Thursday, 24 September (Exact Equations and Integrating Factors)
BD Section 2.6 --- 13, 22, 25, 27
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Assignments on Topics Covered on the Second Exam (Thursday, 29 October)

• Quiz on Tuesday, 6 October (General Homogeneous)
BD Section 3.2 --- 1, 3, 5, 8, 11, 13, 16, 24, 25
BD Section 4.1 --- 1, 4, 5, 11, 15, 17, 21 ,23

• Quiz on Tuesday, 13 October (Constant Coefficient Homogeneous)
BD Section 3.1 --- 1, 3, 5, 7, 9, 13, 17, 23
BD Section 3.3 --- 1, 3, 5, 7-14, 17-22
BD Section 3.4 --- 1-7, 11, 12, 15, 19, 20, 21, 23-28
BD Section 4.2 --- 12, 19, 32

• Quiz on Tuesday, 20 October (Constant Coefficient Nonhomogeneous: Undetermined Coefficients)
BD Section 3.5 --- 1, 3, 5, 9, 11, 13, 17, 21, 28
BD Section 4.3 --- 1, 2, 5, 9, 11

• Quiz on Tuesday, 27 October (General Nonhomogeneous: Variation of Parameters)
BD Section 3.6 --- 1, 5, 9, 13, 15, 17, 19, 23, 28
BD Section 4.4 --- 3, 10, 15

• Exam on Thursday, 29 October (Mechanical Vibrations)
BD Section 3.7 --- 1, 5, 7, 9, 11
BD Section 3.8 --- 5, 6, 7, 18, 19

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Assignments on Topics Covered on the Third Exam (Thursday, 3 December)

• Quiz on Tuesday, 10 November (Laplace Transform)
BD Section 6.1 --- 1, 2, 3, 5, 6, 9, 11, 13, 17
BD Section 6.2 --- 1, 3, 5, 9, 11, 15, 19, 21, 23
BD Section 6.3 --- 1, 3, 5, 11, 15, 17
BD Section 6.4 --- 1, 2, 3, 5, 6, 9, 10, 11

• Quiz on Tuesday, 17 November (General Linear Systems and Systems with Constant Coefficients)
BD Section 7.1 --- 1, 3, 7, 9, 17, 22
BD Section 7.2 --- 2, 4, 6 (you may use Matlab), 10, 11, 23, 26
BD Section 7.3 --- 1, 4, 28
BD Section 7.4 --- 6, 7
BD Section 7.5 --- 1, 5, 9, 11, 16, 18, 24, 29

• Quiz on Tuesday, 24 November (Linear Systems with a Constant Coefficient Matrix)
BD Section 7.3 --- 15, 17, 19, 21
BD Section 7.6 --- 1, 2, 3, 4, 5, 9, 10, 13, 20
BD Section 7.7 --- 1, 3, 4, 5, 7, 8, 9, 11
BD Section 7.8 --- 1, 3, 5, 7, 9

• Quiz on Tuesday, 1 December (Phase Portrait Classification for Linear Planar Systems)
BD Section 7.9 --- 1, 3, 5, 7, 9
BD Section 9.1 --- 5, 7, 9, 11, 13, 15

• Exam on Thursday, 3 December (Nonlinear Phase Portraits)
BD Section 9.2 --- 2, 4, 6, 8, 19

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Assignments on Additional Topics Covered on the Final Exam (Monday, 14 December)

• (Linearization and Applications)
BD Section 9.3 --- 1, 3, 5, 9, 10, 20
BD Section 9.4 --- 1, 3, 5, 17
BD Section 9.5 --- 1, 3, 10

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