Math 246 Homework and Syllabus, Spring 2012

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
• Assignments on Topics Covered on the Second Exam
• Assignments on Topics Covered on the Third Exam
• Assignments on Additional Topics Covered on the Final Exam

Assignments on Topics Covered on the First Exam (Thursday, 23 February)

• Quiz on Tuesday, 31 January (Classification and Linear)
  Boyce and DiPrima (BD) Section 1.3 --- 1-7, 9, 11, 17
  BD Section 2.1 --- 3c, 6c, 9c, 12c, 15, 16, 30-33
  BD Section 2.4 --- 1-6
  

• Quiz on Tuesday, 7 February (Separable and Graphical Methods)
  BD Section 2.2 --- 1-19 odd, 22, 23
  BD Section 2.4 --- 9, 11, 13-15, 22
  BD Section 2.5 --- 1, 3, 5, 7, 9, 12, 13
  

• Quiz on Tuesday, 14 February (Graphical and Numerical Methods)
  BD Section 1.1 --- 16, 18, 20, 26, 29, 31, 33
  BD Section 8.1 --- 7, 9, 12
  BD Section 8.2 --- 7, 9, 12
  BD Section 8.3 --- 7, 9, 12
  

• Quiz on Tuesday, 21 February (Applications and More Analytic Methods)
  BD Section 2.3 --- 2, 3, 5, 9, 10, 13, 16, 23
  BD Section 2.5 --- 15, 18, 20, 23
  BD Section 2.6 --- 1, 5, 9, 13
  

• Exam on Thursday, 23 February (Integrating Factors)
  BD Section 2.6 --- 22, 25, 27
  

Assignments on Topics Covered on the Second Exam (Thursday, 29 March)

• Quiz on Tuesday, 6 March (General Homogeneous)
  BD Section 3.2 --- 1, 3, 5, 9, 13, 16, 24, 25
  BD Section 4.1 --- 1, 3, 5, 7, 9, 11, 13
  BD Section 3.4 --- 23, 25, 28
  

• Quiz on Tuesday, 13 March (Constant Coefficient Homogeneous, Green Functions)
  BD Section 3.1 --- 1, 3, 5, 7, 11, 13, 17, 23
  BD Section 3.3 --- 1, 3, 5, 13
  BD Section 3.4 --- 1, 3, 5, 7, 11, 15
  BD Section 4.2 --- 11, 13, 19, 32
  Homework Problems on the Green Function Method
  Solutions to Homework Problems on the Green Function Method
  

• Quiz on Tuesday, 27 March (Undetermined Coefficients)
  BD Section 3.5 --- 1, 5, 9, 13, 15, 21a, 23a
  BD Section 4.3 --- 1, 3, 5, 7, 11, 15, 17
  (You can also use Key Identity Evaluations on the above problems.)
  (Mechanical Vibrations)
  BD Section 3.7 --- 1, 3, 5, 7, 9, 11, 13
  BD Section 3.8 --- 1, 3, 5, 7, 18
  

• Exam on Thursday, 29 March (Variable Coefficient Nonhomogeneous, Green Functions)
  BD Section 3.6 --- 1, 5, 9, 13, 15, 19
  BD Section 4.4 --- 1, 4, 9
  Homework Problems on the General Green Function Method
  Solutions to Homework Problems on the General Green Function Method
  

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Assignments on Topics Covered on the Third Exam (Thursday, 26 April)

• Quiz on Tuesday, 10 April (Laplace Transform)
  BD Section 6.1 --- 1, 3, 5, 7, 9, 11, 13, 15
  BD Section 6.2 --- 1, 3, 5, 7, 9, 11, 15, 17, 19, 21, 23
  BD Section 6.3 --- 1, 3, 5, 7, 9. 11, 13, 15, 17
  BD Section 6.4 --- 1, 5, 9, 10, 11, 13
  

• Quiz on Tuesday, 17 April (General Linear Systems)
  BD Section 7.1 --- 1, 3, 7ab, 9ab, 22, 23
  BD Section 7.2 --- 2, 4, 6 (you may use Matlab), 10, 11, 23, 25
  BD Section 7.3 --- 1, 2, 3, 4, 5, 29
  BD Section 7.4 --- 6, 7
  

• Quiz on Tuesday, 24 April (Linear Systems with a Constant Coefficient Matrix)
  BD Section 7.3 --- 17, 19, 21, 23
  BD Section 7.5 --- 1, 5, 7, 11, 15, 17, 25, 27, 30
  BD Section 7.6 --- 1, 3, 5, 9, 10
  BD Section 7.7 --- 1, 3, 5, 7, 9, 11
  BD Section 7.8 --- 1, 3, 5, 7, 9
  

• Exam on Thursday, 28 April (Phase Portrait Classification for Linear Planar Systems)
  BD Section 9.1 --- 1, 3, 5, 7, 9
  

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Assignments on Additional Topics Covered on the Final Exam (Saturday, 12 May)

• Quiz on Tuesday, 8 May (Nonlinear Phase Portraits, Linearization)
  BD Section 9.2 --- 1, 3, 6, 8, 21, 22
  BD Section 9.3 --- 1, 3, 5, 7, 9, 10, 19, 20
  

• Final Exam on Saturday, 12 May (Applications)
  BD Section 9.4 --- 1, 3, 5
  BD Section 9.5 --- 1, 3, 5
  

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