Final Exam information has been posted.

Textbook:  Differential Equations by Polking, Boggess, and Arnold, 2nd Edition

Course Supervisor: Jack Dockery

Course Coordinator: Rob Malo

Prerequisite: M 172 or M 182

Schedule: The tentative schedule is available here - last updated 11 November.

Adds:  The Math Department allows adding until Friday 31 August.  Contact the Course Coordinator, Rob Malo, if you cannot add online. 

Drops:  The last day to drop a class is Tuesday 20 November.  Only your section instructor can sign a drop form.

Grades: Your percentage in the course will be computed from the following.

  • Section grade (100 points)
  • Exam 1 (100 points) - solutions - Wednesday 19 September, from 6:10-8 pm.
  • Exam 2 (100 points) - solutions - Thursday 11 October, from 6:10-8 pm.
  • Exam 3 (100 points) - solutions - Wednesday 07 November, from 6:10-8 pm.
  • Final Exam (100 points) - Wednesday 12 December, from 2-3:50 pm.

From the possible 500 points, your percentage will be converted to a letter grade by the following chart. 

 

A A- B+ B B- C+ C C- D F
100-91 90-88 87-85 84-81 80-78 77-75 74-71 70-68 67-60 59-0

 

Exam policies:

  • You are responsible for all prerequisite information, this is a partial list.
  • Exam 1 is a common hour exam given on on Wednesday 19 September, from 6:10-8 pm.
  • Exam 2 is a common hour exam given on on Thursday 11 October, from 6:10-8 pm.
  • Exam 3 is a common hour exam given on on Wednesday 07 November, from 6:10-8 pm.
  • The Friday following a common hour exam there will be no class.
  • The Final Exam is also a common hour exam on Wednesday 12 December, from 2-3:50 pm.
  • See University policy regarding rescheduling.  If you have a valid reason to reschedule, please email the Course Coordinator, Rob Malo, at least 10 days ahead of time to make arrangements.
  • No electronic devices allowed.
  • No outside notes allowed.  An equation sheet may be provided.
  • Exam specific information will be posted one week prior to the exam.

Accommodations:

  • If you need special accommodations, please email the Course Coordinator, Rob Malo, at least 10 days ahead of time to make arrangements.
  • Please also discuss any accommodations with your section instructor.

Exam Locations:

Instructor Section Class time Exam 1 Exam 2 Exam 3 Final Exam
     

Wednesday

19 Sept, 6:10-8 pm

Thursday

11 Oct, 6:10-8 pm

Wednesday

07 Nov, 6:10-8 pm

Wednesday

12 Dec, 2-3:50
Clark 01 8am REID 108 REID 102 REID 108 REID 103
Malo 02 11am REID 105 REID 104 REID 105 REID 105
Malo 03 12pm REID 105 REID 104 REID 105 REID 105
Markman 04 1:10pm JONH 339 REID 108 JONH 339 REID 108
Markman 05 9am JONH 339 REID 108 JONH 339 REID 108
Markman 08 2:10pm JONH 339 REID 108 JONH 339 REID 108
Markman 09 11am JONH 339 REID 108 JONH 339 REID 108

 

Academic Misconduct: Cheating and other forms of misconduct will be taken seriously, see University policy regarding misconduct.

MLC: Tutoring is available at the Math Learning Center (Wilson 1-112) from 9-7 Mon - Thurs. an 9-5 Friday (200 level help ends at 4 on Friday). 

Course Exercises: This is a minimal suggested list, if you are having problems, you should be doing additional exercises.

 

Section Problems Topic
1.1  1,3,7

 Intro
1.2  3,7,9,11

Derivatives
1.3  1,5,11,17,21 Integrals

2.1

  1,3,7,9,11, 16,21,25,27,39 Differential Equations and Solutions
2.2  1,3,5,9,17, 19,23,33 Separable Equations
2.3  1,3,17 Models of Motion
2.4  3,5,9,13,15, 19,22,23,25,33, 35,39 Linear Equations
2.5  1,5,7,9,13 Mixing Problems
2.6  5,9,11,13,17, 25,27,33,35,37 Exact Equations
2.7  1,5,7,9,13, 17,27 Existence and Uniqueness
2.8  1,3,5,7 Dependence on Initial Data
2.9  7,9,13,17, 21,23,25,31 Stability and the Phase Line
     
4.1 1,5,9,13, 15,17,23,26,27 2nd Order Equations
4.2 3.9.13.15 Intro to Systems/Phase Plane
4.3 1-29 (odd) Constant Coefficient Homogeneous Linear
  Complex Numbers notes with exercises. Complex Numbers
4.4 1,7,11,13,17, 19 Harmonic Motion
4.5 1,3,5,7,11, 15,19,21,25,27, 31,39,47 Method of Undetermined Coefficients
4.6 1,3,5,7,13 Variation of Parameters
    Using Formulas
4.7 3,9,17,25 Forced Harmonic Motion
     
 5.1 3, 15-25 (odd), 29  Laplace Transform Definition
5.2 1-11 (odd), 17,19,23,27,27, 39  Properties of the Transform
5.3 1-19 (odd), 25,27,29  Inverse Laplace Transform
5.4 1,3,5,7,11, 13,17,21,23,27, 35  Solving Initial Value Problems
5.5 5,11,13,15,17, 19,23,25,27,29, 32 Transform of Discontinuous Functions
 5.6 3,5,7,9  Impulses and Dirac Delta
5.7 5,7,11,19,27, 29 Convolution
7.1 17,27,33,49 Vectors and Matrices
7.2 Read the Section, do #7 Systems of Linear Equations
7.3 Read the Section, do #1 Solving Systems
7.4 19,23 In homogeneous Systems
7.5 9,11 Bases of a Subspace
7.6 4,5,12,13,21 Square Matrices
7.7 23,25 Determinants
     
 8.1 3,7,9,11  Intro to Systems
8.2 1,5,17,21 Intro to Phase Plane
8.3 3,5,7,11 Qualitative Analysis of Systems
8.4 7,11,25 Linear Systems
8.5 3,5,9,15,23, 27 Properties of Linear Systems
9.1 1,3,5,7,17, 19,21,23 Constant Coefficient Linear Systems
9.2 1-19 (odd), 23,25,29,31,33, 37, 59 Planar Systems
9.3 1,9,11,13,17, 19,21,23 Phase Plane Portraits
9.4 1-13 (odd), 23 The Trace-Determinant Plane
9.7 1,3,5,7 Qualitative Analysis of Linear Systems
10.1 1-15 (odd) Linearization of Nonlinear Systems

 

Learning Outcomes.

Upon completion of the course students will have demonstrated an understanding of the following:

  1. Classifications of ordinary and partial differential equations, linear and nonlinear differential equations.

  2. Solutions of differential equations and initial value problems, and the concepts of existence and uniqueness of a solution to an initial value problem.

  3. Using direction fields and the method of isoclines as qualitative techniques for analyzing the asymptotic behavior of solutions of first order differential equations.

  4. Using the phase line to characterize the asymptotic behavior of solutions for autonomous first order differential equations.

  5. Classification of the stability properties of equilibrium solutions of autonomous first order differential equations.

  6. Separable, linear and exact first order differential equations.

  7. Substitution and transformation techniques for first order linear differential equations of special forms. These include Bernoulli and homogeneous equations.

  8. Mathematical modeling applications of first and second order differential equations.

  9. Methods for solving second order, linear, constant coefficient differential equations. (includes both homogeneous and nonhomogeneous equations)

  10. Some techniques for solving second order, linear, variable coefficient differential equations. (includes Variation of Parameters, Reduction of Order and Variable Substitutions for Euler equations)

  11. The principal of superposition for linear differential equations.

  12. Basic theory of nth order linear, constant coefficient ordinary differential equations.

  13. The method of Laplace Transforms for solving first and second order, linear ordinary differential equations.

  14. Using Unit Step (Heaviside) and Dirac Delta functions to model discontinuous, periodic and impulse forcing functions for first and second order, linear ordinary differential equations.

  15. Using Laplace Transforms to solve linear differential equations containing Unit Step (Heaviside) and Dirac Delta functions.

  16. Basic matrix methods for linear systems of ordinary differential equations.
    Phase planes for linear systems of ordinary differential equations.

  17. Existence and uniqueness of solutions for initial value problems taking the form of linear systems of ordinary differential equations and corresponding initial conditions.