Math 246 Homework and Syllabus, Spring 2011

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, 17 February)

• Quiz on Tuesday, 1 February (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, 8 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 1.1 --- 16, 18, 20, 26, 29, 31, 33
  BD Section 2.5 --- 1, 3, 5, 7, 9, 12, 13, 20, 23
  

• Quiz on Tuesday, 15 February (Applications and Numerical Methods)
  BD Section 2.3 --- 2, 3, 5, 9, 10, 13, 16, 23
  BD Section 8.1 --- 7, 9, 12
  BD Section 8.2 --- 7, 9, 12
  BD Section 8.3 --- 7, 9, 12
  

• Exam on Thursday, 17 February (Exact Differential Forms and Integrating Factors)
  BD Section 2.6 --- 1, 5, 9, 13, 22, 25, 27
  

Assignments on Topics Covered on the Second Exam (Thursday, 31 March)

• Quiz on Tuesday, 1 March (General Homogeneous: Initial-Value Problems through Fundamental Sets of Solutions)
  BD Section 3.2 --- 1, 3, 5, 9, 13, 16, 24, 25
  BD Section 4.1 --- 1, 3, 5, 11, 13
  

• Quiz on Tuesday, 8 March (General Homogeneous: Linerar Independence, Reduction of Order)
  BD Section 4.1 --- 7, 9
  BD Section 3.4 --- 23, 25, 28
  (Constant Coefficient Homogeneous)
  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
  

• Quiz on Tuesday, 15 March (Constant Coefficient Nonhomogeneous: Undetermined Coefficients and Key Identity Evaluations)
  BD Section 3.5 --- 1, 5, 9, 13, 15, 21a, 23a
  BD Section 4.3 --- 1, 3, 5, 7, 11, 15, 17
  (Try both methods on a few of the problems.)

• Quiz on Tuesday, 29 March (Green Functions, Mechanical Vibrations)
  Homework Problems on the Green Function Method
  Solutions to Homework Problems on the Green Function Method
  BD Section 3.7 --- 1, 3, 5, 7, 9, 11, 13
  BD Section 3.8 --- 1, 3, 5, 7, 18
  

• Exam on Thursday, 31 March (Variable Coefficient Nonhomogeneous)
  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, 28 April)

• Quiz on Tuesday, 12 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, 19 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, 26 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 (Thursday, 12 May)

• Quiz on Tuesday, 10 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 Thursday, 12 May (Applications)
  BD Section 9.4 --- 1, 3, 5
  BD Section 9.5 --- 1, 3, 5
  

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