Most of the fundamental laws and principles of nature are expressed mathematically as differential equations. This course discusses the the basic methods for solving ordinary differential equations, with applications to the physical, biological and social sciences. Particular emphasis is given to linear differential equations and systems of equations.
The prerequisite is completion of one of the standard calculus sequences (either MAT 125127 or MAT 131132 or MAT 141142) with a grade of C or higher in MAT 127, 132 or 142 or AMS 161. The course will rely heavily on material you've learned in Calculus III. Familiarity with complex numbers and the basic concepts of linear algebra will be important, so the 200level classes MAT 203/205 (Calculus III) or AMS 261/MAT 211 (Linear Algebra) are strongly recommended.
Announcements:
 Review Sessions: Review sessions for the Final Exam are:
Steve Taylor, Friday, May 7, 11:45am  , in Physics P123.
Ben Balsam, Monday, May 10, 10:00am  , in Math P131.
Steve Taylor, Monday, May 10, 7:00pm  , in Math P131.
 Final Exam: The Final Exam is on Thursday, May 13, 5:157:45pm, in the usual lecture room, Library W4525. The exam will be cumulative, covering the full semester of material from Chapters 1  5, but with some emphasis on Ch.5. The character of the exam is similar to the Midterms. There will be 910 problems, mostly computational, but with a couple of conceptual/theoretical problems testing basic understanding of the theory. A practice exam will be up on this site this weekend (May 8), as well as suggested problems for Ch.5.6 (variation of parameters).
Here is a Practice Final and the Solutions from a previous year. Ignore the instructions (which are not valid here) and consider only the problems 25, 8 and 1219. These problems represent however only a portion of the material that may be on the exam itself. It would be better to prepare by going over earlier HW problems and solutions and testing yourself on other problems from the text. The problems on the final will be very similar (maybe identical) to problems at the end of the sections in the text. For Section 5.6, consider for example problems 23 or 25. (Problem 17 was done in class). The problems on the exam will not be computationally very complicated, but test your ability to carry out the methods you've learned.
 Midterm II: the 2nd Midterm is on Thursday, April 8, 12:502:10pm, in class.
Here is a Practice Midterm II from a few years ago. Note: both the problems and the solutions are together here, so you may want to ``coverup'' the solutions and try the problems yourself before looking at the solutions. Ignore Problem 5. You can also look at Midterm II exams from previous semesters by looking at this link
The exam will cover the material in Chapter 2.4 and everything we did in Chapter 3, so up to and including 3.6.
 Midterm I: the 1st Midterm is on Thursday, Feb 25, 12:502:10pm, in class.
Here is a Practice Midterm I from a few years ago. A few inaccuracies: the Midterm will last 80 minutes and will have 57 problems. Also, ignore Problems 8, 12 and 13 on the practice exam; otherwise, the problems accurately reflect the character of the actual Midterm.
Instructor: Michael Anderson
Office Location: 4110 Math Tower
Email: anderson at math.sunysb.edu
Web site: http://www.math.sunysb.edu/~anderson
Office hours: MWF 12pm in 4110 Math Tower
MAT 303 
Lectures and Recitations 
Final Exam: Thursday May 13, 5:157:45pm, Place: TBA 
LEC 1 
41259 
Tu,Th 
12:50pm 2:10pm 
Library 
W4525 
Michael Anderson 
R01 
41005 
F 
11:45am12:40pm 
Physics 
P123 
Stephen Taylor 
R02 
49316 
W 
11:45am12:40pm 
Physics 
P123 
Benjamin Balsam 
R03 
58873 
M 
10:40am11:35am 
Soc Behav Sci. 
N436 
Benjamin Balsam 
R01: Stephen Taylor
Email: taylor at math dot sunysb dot edu
Office: 3101 Math Tower
Office hours: Tu: 11:3012:30 in 3101, Th: 11:3012:30 in MLC
R 02,03: Benjamin Balsam
Email: balsam at math dot sunysb dot edu
Office: 3104 Math Tower
Office hours: Tues: 1011 in 3104, Wed: 23 in MLC
Differential Equations and Boundary Value Problems, by C. H. Edwards, Jr. and D. E. Penney (PrenticeHall, Inc.), Fourth Edition.(Note, that problem sets in different editions do not coincide)
DiffEqWeb a graphical ordinary differential equation solver written by Simo Kivelä and Mika Spåra of the Helsinki University of Technology.
Programs for Euler's method and slope field generation for graphing calculators (Texas Instruments TI82, TI85 and Sharp EL9300, EL 9200).
MAPLE reference pages. Elementary numerical and graphical examples (these pages were prepared by Stewart Mandell for use in our course MAT 126 several years ago). If you need help getting used to MAPLE, these are a good place to start.
Some additional reference pages which describe how to use MAPLE to investigate properties of differential equations :
a beginning tutorial (introduces you to the syntax of MAPLE)
There will be both Homework assignments and quizzes, alternating weekly; one week HW, the next week quiz, etc. There will be HW problems given every week  see the assignments below  and each quiz will contain problems taken from the HW assignments. HW will be collected during the recitations, as determined by your TA; they should always be turned in at the beginning of class. Please, remember that your solutions of the homework problems and quizzes are important documents. You should keep them to the end of the semester.
Although only a random selection of problems on each homework will be graded by your TA, it is important that you do all the HW problems (or at least as many as possible). You should not expect to do well on the exams without the work and experience that goes into solving the HW and quiz problems.
Late homeworks will not be accepted except under very exceptional circumstances. Likewise, no late quizzes will be given. All policies regarding HW, quizzes and your grades for this part of the course are fully decided by your TA.
Grades will be computed according to the following percentages:
Homework and Quizzes 
25% 
Midterm I (Thursday, Feb. 25, 12:502:10pm, in class) 
20% 
Midterm II (Thursday, April 8, 12:502:10pm, in class) 
20% 
Final Exam (Thursday, May 13 5:157:45pm) 
35% (cumulative) 
No makeup exams will be given. If a midterm exam is missed because of a serious (documented) illness or emergency, your semester grade will be determined on the basis of other work done in the course. Exams missed for other reasons will be counted as failures.
Resources: If you have questions regarding the course material at any time during the semester, you are encouraged to visit your instructor or TA during office hours, or make a separate appointment if necessary. Your instructors will also reply to email, within reason. Another excellent source of help is the Mathematics Learning Center (S240A in the Math Building  basement level), which is staffed by advanced math majors and graduate students daily. For a schedule of their hours, check their website.
Students with Disabilities: If you have a physical, psychological, medical, or learning disability that may impact on your ability to carry out assigned course work, you are strongly urged to contact the staff in the Disabled Student Services (DSS) office: Room 133 in the Humanities Building; 6326748/TDD. DSS will review your concerns and determine, with you, what accommodations are necessary and appropriate. All information and documentation of disability is confidential. Arrangements should be made early in the semester so that your needs can be accommodated.
but do not hand in for grading. Instead, a quiz will be given
that week, based on the assigned HW problems.
Week of 
Topics 
Problems Due 
Recitation Due Dates 

Jan. 25 
1.1: Mathematical Models 1.2: General and Particular Solutions 
 

Feb. 1 
1.3: Direction Fields 
1.1: 3,5,13,19,27 1.2: 4,8,15,42 1.3: 2,8,21 
HW #1: FMW, Feb 5  Feb 10 
Feb. 8 
1.5:Linear First Order Equations 
1.4: 1,2,3,4,6,47,48 1.5: 1,2,3,12,15 
HW #2: FMW, Feb 12  Feb 17 
Feb. 15 
2.1:Population Models 
1.6: 3,8,17,34,57 2.1: 2,4,10,11 
HW #3: FMW, Feb 19  Feb 24 
Feb. 22 
2.4:Numerical Methods 
No HW or Quiz this week, due to Midterm 
No HW due 
Mar 1 
3.1:Second order linear equations 
2.2: 9, 21 2.4: 4,8 3.1: 4,10,14,34,40,46 
HW #5: FMW, Mar 5  Mar 10 
Mar 8 
3.2:General solutions of linear equations 
3.1: 17,20,21,29 3.2: 1,8,18,31 3.3: 4,13,14,34 
HW #6: FMW, Mar 12  Mar 17 
Mar 15 
3.4:Mechanical Vibrations 
3.3: 18,23 3.4: 1,3,14,15,16 3.5: 1,2,3,9 
HW #7: FMW, Mar 19  Mar 24 
Mar 22 
3.6:Forced Oscillations and Resonance 
3.5: 6,11,35,38 3.6: 1,8,11,19 
HW #8: (Quiz) FMW, Mar 26,Apr 5/7 
Apr 5 
4.1:First order systems 

Apr 12 
5.1:Matrices and Linear Systems 
4.1: 1,6,11,13,21,22,23 
HW #9: FMW, Apr 16  Apr 21 
Apr 19 
5.4:Multiple Eigenvalues (briefly) 
5.1: 14,22,26,35 5.2: 9,12,19,41 5.4: 2,3,11 
HW #10: FMW, Apr 23  Apr 28 
Apr 26 
5.5:Matrix Exponentials 
5.5: 2,4,10,16,26 5.6: 2,5,14 
HW #11: FMW, Apr 30  May 5 