Math 246 Homework, Fall 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 drawn from Elementary Differential Equations, Ninth Edition, by Boyce and DiPrima (BD). They 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, 27 September)

• Quiz on Tuesday, 4 September (Classification and Linear)
  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, 11 September (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, 18 September (Graphical Methods and Applications)
  BD Section 1.1 --- 18, 20, 26, 29, 31, 33
  BD Section 2.3 --- 2, 3, 5, 9, 10, 13, 16, 23
  BD Section 2.5 --- 15, 18, 20, 23
  

• Quiz on Tuesday, 25 September (Numerical Methods and Exact Forms)
  BD Section 8.1 --- 7, 9, 12
  BD Section 8.2 --- 7, 9, 12
  BD Section 8.3 --- 7, 9, 12
  BD Section 2.6 --- 1, 5, 9, 13
  

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

Assignments on Topics Covered on the Second Exam (Thursday, 25 October)

• Quiz on Tuesday, 9 October (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
  Homework Problems on Natural Fundamental Sets
  Solutions to Homework Problems on Natural Fundamental Sets
  

• Quiz on Tuesday, 16 October (Constant Coefficient Homogeneous and NonHomogeneous)
  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
  BD Section 3.5 --- 1, 5, 9, 13, 15, 21a, 23a (use Undetermined Coefficients)
  BD Section 4.3 --- 1, 3, 5, 7, 11, 15, 17 (use Undetermined Coefficients)
  

• Quiz on Tuesday, 23 October (Constant Coefficient Nonhomogeneous and Mechanical Vibrations)
  BD Section 3.5 --- 1, 5, 9, 13, 15, 21a, 23a (use Key Identity Evaluations)
  BD Section 4.3 --- 1, 3, 5, 7, 11, 15, 17 (use Key Identity Evaluations)
  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, 25 October (Variable Coefficient Nonhomogeneous)
  BD Section 3.6 --- 1, 5, 9, 13, 15, 19
  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, 29 November)

• Quiz on Tuesday, 6 November (Laplace Transform)
  BD Section 6.1 --- 1, 3, 5, 7, 9, 11, 13, 15
  BD Section 6.3 --- 1, 3, 5
  

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

• Quiz on Tuesday, 20 November (General Linear Systems and Matrix Exponentials)
  BD Section 7.4 --- 6, 7
  BD Section 7.7 --- 1, 3, 5, 7, 9, 11
  BD Section 7.5 --- 15, 17, 25, 27, 30 (by Matrix Exponentials)
  BD Section 7.6 --- 1, 3, 5, 9, 10 (by Matrix Exponentials)
  BD Section 7.8 --- 1, 3, 5, 7, 9 (by Matrix Exponentials)
  

• Quiz on Tuesday, 27 November (Eigen Methods)
  BD Section 7.3 --- 17, 19, 21, 23
  BD Section 7.5 --- 15, 17, 25, 27, 30 (by Eigen Methods)
  BD Section 7.6 --- 1, 3, 5, 9, 10 (by Eigen Methods)
  BD Section 7.8 --- 1, 3, 5, 7, 9 (by Eigen Methods)
  

• Exam on Thursday, 29 November (Phase Portraits 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, 13 December)

• Quiz on Tuesday, 11 December (Autonouous Planar Systems, Applications)
  BD Section 9.2 --- 1, 3, 6, 8, 21, 22
  BD Section 9.3 --- 1, 3, 5, 7, 9, 10, 19, 20
  BD Section 9.4 --- 1, 3, 5
  BD Section 9.5 --- 1, 3, 5
  

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