Math 246 Homework and Syllabus, Spring 2009

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 Monday discussion section 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, 19 February)

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

• Quiz on Tuesday, 10 February (Separable, Graphical Methods, and Applications)
  BD Section 1.1 --- 16, 18, 20, 26, 29, 31
  BD Section 2.2 --- 1-19 odd, 22, 23
  BD Section 2.3 --- 2, 3, 5, 9, 13, 16, 23
  BD Section 2.4 --- 3, 6, 9, 12, 15, 22
  BD Section 2.5 --- 1, 3, 5, 7, 9, 13
  

• Quiz on Tuesday, 17 February (Population Dynamics and Numerical Methods)
  BD Section 2.5 --- 20, 23
  BD Section 8.1 --- 1, 7, 9
  BD Section 8.2 --- 1, 7, 9
  BD Section 8.3 --- 1, 7, 9
  

• Exam on Thursday, 19 February (Exact Equations and Integrating Factors)
  BD Section 2.6 --- 1, 5, 9, 13, 22, 25, 27
  

Assignments on Topics Covered on the Second Exam (Thursday, 2 April)

• Quiz on Tuesday, 3 March (General Homogeneous)
  BD Section 3.2 --- 1, 3, 9, 13, 16, 24, 25
  BD Section 3.3 --- 1, 3, 5, 13
  BD Section 4.1 --- 1, 3, 5, 11, 13
  

• Quiz on Tuesday, 10 March (Constant Coefficient Homogeneous, General Nonhomogeneous, Constant Coefficient Nonhomogeneous: Undetermined Coefficients)
  BD Section 3.1 --- 1, 3, 5, 7, 9, 13, 17, 23
  BD Section 3.4 --- 1, 3, 5, 7, 11, 15, 19, 23
  BD Section 3.5 --- 1, 5, 9, 13, 21
  BD Section 4.2 --- 11, 19, 32
  BD Section 3.6 --- 1, 5, 9, 15, 19, 23, 28
  BD Section 4.3 --- 1, 5, 9, 11
  

• Quiz on Tuesday, 24 March (Constant Coefficient Nonhomogeneous: Mechanical Vibrations and Green Functions)
  (We covered pages 13 through 27 of the second set of on-line lecture notes.)
  BD Section 3.8 --- 1, 5, 7, 9, 11
  BD Section 3.9 --- 5, 7, 18
  Homework Problems on the Green Function Method
  Solutions to Homework Problems on the Green Function Method
  

• Quiz on Tuesday, 31 March (Laplace Transform)
  BD Section 6.1 --- 1, 3, 5, 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, 5, 9, 10, 11
  

• Exam on Thursday, 2 April (Variable Coefficient Nonhomogeneous: Variation of Parameters and Green Functions)
  BD Section 3.7 --- 5, 7, 11, 15, 19
  BD Section 4.4 --- 4, 9, 15
  Homework Problems on the Green Function Method II
  Solutions to Homework Problems on the Green Function Method II
  

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Assignments on Topics Covered on the Third Exam (Thursday, 30 April)

• Quiz on Tuesday, 14 April (General Linear Systems)
  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
  

• Quiz on Tuesday, 21 April (Linear Systems with a Constant Coefficient Matrix)
  BD Section 7.5 --- 1, 5, 9, 11, 16, 18, 24, 29
  BD Section 7.6 --- 1, 3, 5, 9, 10, 20
  BD Section 7.7 --- 1, 3, 5, 7, 9, 11
  

• Quiz on Tuesday, 28 April (Eigen Methods and Linear Planar Systems)
  BD Section 7.3 --- 15, 17, 19, 21
  Eigen Methods material from notes and BD Sections 7.3, 7.5, and 7.6.
  Phase Portrait material from BD Sections 7.5, 7.6, and 7.8.
  

• Exam on Thursday, 30 April (Phase Portrait Classification for Linear Planar Systems)
  BD Section 9.1 --- 5, 7, 9, 11, 13, 15
  

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Assignments on Additional Topics Covered on the Final Exam (Thursday, 14 May)

• Quiz on Tuesday, 12 May (Nonlinear Phase Portraits and Linearization)
  BD Section 9.2 --- 2, 4, 6, 8, 19
  BD Section 9.3 --- 1, 3, 5, 9, 10, 20
  

• Exam on Monday, 14 May (Applications)
  BD Section 9.4 --- 1, 3, 5, 17
  BD Section 9.5 --- 1, 3, 10
  

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