This page gives general information about MA3520, Section 1, Fall Semester, 2009.

Instructor:         Dr. G. Lewis
Office:                Fisher Hall 208
Office hours:     MWF, 10-11 a.m.; TR,3-4 p.m.; or by appointment
phone:               487-2918
fax:                    487-3133
e-mail:               lewis@mtu.edu
homepage:        http://www.math.mtu.edu/~lewis/index.html

Teaching assistant:         Jason Gregersen
Office:                Dow 717
Office hours:     MWF, 12-1 p.m.; R, 1-2
phone:               487-1487
e-mail:               jdgreger@mtu.edu

Text:                   A First Course in Differential Equations with Modeling Applications, ninth edition, by Zill, published by Brooks/Cole/Cengage, 2009
Text coverage:   Chapters 1-5,8
Classroom:         EERC 103
Classtime:          TR, 2-3 p.m.

Exam Schedule: (all hour exams are in class)
     Exam 1: Tuesday, October 13, 2009
     Exam 2: Thursday, December 3, 2009
     Final exam: Tuesday, December 15, 2009, 3-5 p.m., EERC room 103

Homework assignments: Some homework will be assigned, due the next class period. It will be graded by a student grader. Click here for homework assignments.

Make-up exams: Let me know well in advance if you know that you will have an excused absence from an exam. If you become sick at the last minute, let me know as soon as possible. Otherwise, no make-up exam will be given.

Grading: The following shows the weighting of each of the segments which determine the final grade:
     Each hour exam:   25%
     Final Exam:         35%
     Homework:          15%

Click here for general announcements about MA3520, Section 1.

Click here to return to the homepage of Dr. G. Lewis.



Practice problems for final exam:

1.1 #1-12,16,20,23

1.2 #2,4,6,8,11,16,17,25-28,30

1.3 #2,4,6,8,10,16,17

2.2 #2,4,6,8,11,12,14,17,23

2.3 4,6,10,12,14,17,18,20,21,22

3.1 #2,6,14,21,27,29

3.2 #1,4,10

3.3 #8

4.1 #2,8,10,12,13,16,18,20,25,26,32,34

4.2 #2,4,6,9,19

4.3 #2,5,9,12,14,15,18,19,25

4.4 #1,4,6,8,10,12,14,16,17,20

4.5 Any problemshere would be good practice

4.6 #1,2,11,19,26

4.7 #3,7,9,11,19,37

4.8 #2,6,7,10,13,21

5.1 #2,5,6,11,18,19,22,25,27,30,33,36,37,47,49,53

5.2 #3(a),4(a),10,11

8.1 #3,7,8,9,12,13,18,22,25

8.2 #3,7,10,21,23,35,43

8.3 #3,7,8,15,17



Code and examples for solving differential equations using Mathematica. Note the use of double equal signs ("==") in the differential equation and initial conditions, and the notation y[x].

1. Solve a differential equation: DSolve[the differential equation,y[x],x]
Example: DSolve[y'[x]==2x*y[x],y[x],x]

2. Solve an initial value problem: DSolve[{the differential equation,the initial conditions},y[x],x]
Example: DSolve[{y'[x]==2x*y[x],y[1]==3},y[x],x]

3. Solve an initial value problem numerically on an interval [a,b]: NDSolve[{the differential equation,the initial conditions},y[x],{x,a,b}]
Example: solution=NDSolve[{y'[x]==2x*y[x],y[1]==3},y[x],{x,1,4}]
f[x_]=y[x]/.solution[[1]]
Plot[f[x],{x,1,4}]