MTH 336 Differential Equations Semester 072 

Calendar for Assignments, Quizzes, and Tests

Purchasing Maple 11 with special discount:
Use the Adoption Code specific to your location to purchase a download copy of Maple 11 Student Edition from the Maplesoft Webstore at a discounted price.  Promotion Codes are valid from 2 weeks before the course start date until the course ends.

Maplesoft Adoption code for this course:

AP33945

Note on Reading:

Read assigned material before the class when it is to be discussed.  Focus on understanding and learning concepts.  Do not make the mistake of skipping reading material before attempting homework assignments.

Note on Homework

Write out complete answers NEATLY and CLEARLY. You must show your work! Partial credit is given when work is shown even if answer is incorrect. Start homework early and see me for help with problems you don't know how to work! My office is Core 257-- See my schedule for office hours or call or send email for an appointment. I am always delighted to help.

Date	Exams and Quizzes	Reading Assignment -- Complete by date given	Homework Due -- turn in at beginning of class on date given (see list of problems below)
Wed. 01/09		Section 1.1: Understand basic concepts of what a differential equation is and the terminology used for different forms of differential equations.  From Section 1.2: Understand what is meant by a solution to a differential equation or an intial value problem.  Know the statement of the Existence and Uniquess of Solution Theorem 1 and how to apply it as in the samples that follow.
Fri.  01/11		Section 1.3:  Understand what a direction field is for a first order differential equation -- how it is determined and how to draw specific solutions using it.   Example 1 is important.	Exercise Set 1
Mon. 01/14		Section 1.4:  Know how Euler's method is developed, interpret geometrically, and carried out numerically.
Wed. 01/16			Exercise Set 2
Fri. 01/18		Section 2.2:  Recognize a separable differential equation  and know how to solve a separable differential equation, including one with initial value.	Exercise Set 4
Mon 01/21		Section 2.3:  Recognize a linear first-order equation and apply the method for solving such equations to specific problems.  Know the criteria (Theorem 1 for existence and uniqueness of a solution)
Wed 01/23			Exercise Set 5
Fri. 01/25		Section 2.4:   Know how to calculate partial derivatives, concept of total differential. Be able to determine whether a differential form is exact and when a differential equation is exact.  Apply Theorem 2's test for exactness.   Solve an exact equation.	Exercise Set 6
Mon 01/28
Wed 01/30		Section 3.2:  Know how to solve application problems like the mixing problems and the population growth problems.  This includes the material in the Maple worksheet and the CD Lab handout on population growth.	Exercise Set 7
Fri 02/01
Mon 02/04		Section 4.2:   How to solve 2nd order linear homogeneous equation with constant coefficients when auxiliary equation has distinct real roots and real repeated roots.  When unique solutions exists given initial conditions.	Exercise Set 8
Wed 02/06		Bring IDE CD to lab	Exercise Set 9
Fri 02/08		Section 4.3  How to solve the 2nd order linear homogeneous equation whose auxiliary equation has complex roots.
Mon 02/11	Exam 1		Exercise Set 10
Wed 02/13
Fri 02/15		Section 4.4  Use the method of undetermined coefficients to find a particular solution to the nonhomogenous 2nd order linear d.e. when the right hand side is of a particular form
Mon. 02/18		Class cancelled
Wed. 02/20
Fri. 02/22		Section 4.5:  We use the Superposition Principle to 1)  to find solutions to more types of nonhomogenous 2nd order linear d.e., 2)  find a general solution to the nonhomogenous 2nd order linear d.e. and  3)  determine conditions for and how to find the unique solution to a nonhomogenous 2nd order linear d.e.
Mon. 02/25		Section 4.6:  The Method of Variation of Parameters is a more general purpose method of finding a particular solution to nonhomogenous 2nd order linear d.e.	Exercise Set 11  Section 4.4
Wed. 02/27		Section 5.2:  Know how to use the Elimination Method to solve systems of linear equations.  Know the shortcut method.	Exercise Set 12  Section 4.5
Fri. 02/29			Exercise Set 13  Section 4.6
Mon 03/03-Fri 03/07
Mon. 03/10
Wed. 03/12
Fri. 03/14	Exam 2		Exercise Set 14:  Section 5.2
Mon 03/17		Section 5.4:  Understand how the phase plane for autonomous systems of differential equations is used investigate behavior of solutions.
Wed 03/19		Section 7.2:  Definition of Laplace Transform.  General approach to solving d.e. with initial conditions using Laplace Transforms.   Compute Laplace transforms of simple functions using its definition.  Conditions for existence of Laplace transform of a function.  Linearity of transform.
Fri 03/21		GOOD FRIDAY – NO CLASS
Mon 03/24		EASTER MONDAY – NO CLASS
Wed 03/26		Section 7.3:  Important properties of the Laplace Transform.  Statements for Theorems 3, 4, 5, 6 .  How Theorem 4 is derived by integration by parts.	Exercise Set 15:  Section 5.4  Exercise Set 16:  Section 7.2
Fri. 03/28			Exercise Set 17:  Section 7.3
Mon. 03/31		Section 7.4:  know what inverse Laplace transform is, its linearity property,  how to use the method of partial fractions to compute inverse transform
Wed. 04/02			Exercise Set 18:  Section 7.4
Fri. 04/04		Section 7.5:  Use the ideas from the previous sections to solve d.e. with initial values using method of Laplace Transforms
Mon. 04/07
Wed. 04/09		Section 7.6:  Modeling functions with jump discontinuities using the unit step function.  Computing Laplace transforms of these and inverse Laplace transforms of such functions.    Solve initial value problems with these methods.	Exercise Set 19:  Section 7.5
Fri. 04/11
Mon. 04/14		Section 9.5 Homog. Linear Systems with Const. Coeffs;  real eigenvalues	Exercise Set 20:  Section 7.6
Wed. 04/16
Fri. 04/18	Exam 3
Mon. 04/22		Section 9.6:  Comlex Eigenavlues
Wed. 04/24			Revised Set 21, Set 22
Fri. 04/26
Wed. 04/30		Final Exam Comprehensive 10:00 a.m

Differential Equations Problem Assignment List Semester 072

Exercise Set 1	Section 1.1  2, 4, 6, 8, 10, 12, 14, 16
Exercise Set 2	Section 1.2 2, 3, 6, 8,  10, 14, 22, 24, 25, 26, 28
Exercise Set 3	Use Maple for these exercises and e-mail Maple worksheet with work completed and answer questions in text cells,  with appropriate documentation. Section 1.3   2,  5 , 7 ,  10, 13  For number 2:  part a) -- modification:    Verify that y = -2x - 2 + Ce^x is a general solution to the differential equation.   Then find the constant C so that the initial condition y(0) = -2 is satisfied.  Sketch this curve.   Link to Sample Maple commands for exercises.
Exercise Set 4	Section 1.4   3, 4, 6, 10, 15
Exercise Set 5	Section 2.2  1, 3, 4, 6,  8, 9, 12, 19, 22, 23, 35
Exercise Set 6	Section 2.3  2, 4, 5, 7, 8, 16, 24, 37
Exercise Set 7	Section 2.4  2, 4, 5, 6, 10, 14, 18, 22
Exercise Set 8	Section 3.2: 2, 4, 8, 14
Exercise Set 9	Section 4.2:  2, 3, 6, 12, 13, 14, 18, 27, 28,32
Exercise Set 10	Section 4.3:  1, 4, 11, 12, 16, 32, 33, 38, 39
Exercise Set 11	Section 4.4: 1, 2, 3, 6, 11, 13, 16, 24, 27, 28, 32
Exercise Set 12	Section 4.5:  2, 3, 6, 12, 15, 16, 17, 19, 23, 28
Exercise Set 13	Section 4.6  3, 6, 12, 19, 23
Exercise Set 14	Section 5.2  5, 11, 13, 19, 31, 32
Exercise Set 15	Section 5.4:  4, 6, 20, 28
Exercise Set 16	Section 7.2: 2, 3, 4, 18, 0, 14, 19, 21, 22, 26, 27, 28
Exercise Set 17	Section 7.3: 2, 3, 6, 13 (Use (sin(t))^2 = (1-cos(2t))/2, 16 (Use answer to 13 and  last entry in table 7.2), 21, 25
Exercise Set 18	Section 7.4:  1, 2, 3, 6, 7, 9, 22, 23,  26
Exercise Set 19	Section 7.5:  2, 4, 7, 11, 18
Exercise Set 20	Section 7.6:  2, 4, 6, 7, 11, 14, 16, 17, 29, 30, 61
Revised Set 21	Section 9.5:  12, 13, 27, 28
Revised Set 22	Section 9.6:  2, 3
Exercise Set 21	Section 8.1: 2, 3, 4, 9
Exercise Set 22	Section 8.2:  2, 5, 10, 17, 22
Exercise Set 23	Section 8.3:  2, 5, 8, 11, 15, 20, 23, 27