Oklahoma State University - Department of Mathematics

Differential Equations (MATH 2233-1) Spring 2012


You are expected to attend every class meeting. Class attendance means that you come to class on time and stay for the entire class period. Independed of your class attendence, it is your responsibility to learn the material covered in class, and that from the corresponding sections in your textbook. By not attending a class meeting you can loose credit if you miss a quiz.


Homework will be assigned on a regular basis and appear in the course schedule. There will be two types of assignments:


There will be 3 midterm exams and a final exam. Date and time for each exam will be announced in class and appear online in the course schedule. Make-up exams will be given only under exceptional circumstances and if you contact me in advance.

Be prepared for 5-minutes in-class quizzes. These quizzes will not be announced and there are no make-up quizzes.

Books, notes, electronic devices, and any kind of headwear that covers part of your face are not permitted during exams or quizzes.

To gain credit your answers must be clearly presented. Your work must show how you proceeded to find the answer or why your answer is correct. Scratch work should be clearly separated from what is to be graded and the final result should be marked by drawing a rectangle around it.


Your course score will be the maximum of the scores computed based on methods A and B below.

Homework+Quizzes3 Midterm ExamsFinal Exam
Course Score (Method A)30%3 x 15%25%
Course Score (Method B)30%3 x 10%40%
6-Weeks Score50%1 x 50%NA

Your course/6-weeks score will be truncated to an integer percentage and determines your course/6-weeks letter grade as follows.

Letter GradeFDCBA

Curving may be applied in form of a linear adjustment to all scores on a particular exam. I reserve the right to decide borderline cases based on class attendance and subjective impressions such as effort and conscientiousness.

How to learn?

Your starting points are the textbook and the lecture. It is easier to follow the lecture if you have seen the material before and presented from a slightly different point of view. I strongly recommend that you read each section in your textbook at home before it is covered in class. Try to isolate what you do not understand and be prepared to ask questions in class.

Do not hesitate to ask questions. If something is unclear to you in class, just ask. You can be sure that other students have the same question but do not dare to ask. If you let me know what your problems are, I can adapt the lecture and make it easier for you to follow. There are no stupid questions. On the contrary, asking the right question is often an important step in the process of solving a problem.

The importance of working on example problems can not be overemphasized. Work on the homework assignment intensively and pick additional similar problems from the exercises sections of your textbook.

Discussion is crucial to understand mathematics. I strongly encourage you to discuss both the material covered in class and your solutions of the homework problems with other students in your section. The best way to check your own understanding is to explain to someone else.

Need help?

If you realize that you do not understand the homework problems, seek help immediately. With a backlog of not understood material it extremely difficult to catch up with the class again.

The Mathematics Learning Resource Center (MLRC) provides free tutoring sessions for this course Tuesdays and Thursdays from 6:00pm to 9:00pm. The MLRC is located on the 4th floor of the classroom building and you need to check in for tutoring in room CLB 420. For more information, see http://www.math.okstate.edu/mlrc.

You are always welcome to see me in my office hour or contact me by email if you have any questions or problems. If my office hours do not fit your schedule, please contact me by email for an appointment.

Course Schedule

The following course schedule is preliminary.

Date Sections
CSubject/Exam Homework
Due Date
101/091.1Examples and Direction Fields
201/111.2-1.3Solutions and Classificationonline01/17
301/132.1First Order Linear Equations and Integrating Factors
01/16University Holiday
401/182.1First Order Linear Equations and Integrating Factors2.1:7,14,19,21,28,3901/23
501/202.2Separable Equations
Separable Equations
Exact Equations and Integrating Factors
701/252.6Exact Equations and Integrating Factors2.2:6,10,24;
801/272.4Existence and Uniqueness of Solutions
901/302.3Modelling with First Order Equations2.3:4,10,13,1602/06
Review SessionPractice Midterm 1
Midterm 1
1202/063.1Linear Homogeneous Equations with Constant Coefficients3.1:8,12,13,17,20,2202/14
1302/093.2Existence, Uniqueness, and Superposition of Solutions
1402/113.2Fundamental Solutions and the Wronskian
1502/143.2The Wronskian and Abel's Theorem3.2:12,20,23,28,32,3902/20
1602/163.3Complex Roots of the Characteristic Equation
1702/183.4Repeated Roots of the Characteristic Equation
1802/203.4Reduction of Order3.3:11,20,30,31;
1902/223.5Undetermined Coefficients
2002/243.5Undetermined Coefficients3.5:3,7,15,1803/02
2102/273.6Variation of Parameters
2202/293.6Variation of Parameters
2303/023.1-3.6Review SessionReview Problems:
3.2:29-37; 3.4:23-28;
3.5:13-18; 3.6:5-8,13-16
2403/053.1-3.6Midterm 2
2503/074.1Higher Order Linear Equations4.1:5,6,7,10,12,14,17,21,2203/14
2603/094.2Homogeneous Equations with Constant Coefficients
2703/124.2Homogeneous Equations with Constant Coefficients4.2:12,17,19,21,37,3803/26
2803/145.1Review of Power Series
2903/165.2Series Solutions near an Ordinary Point
03/19Spring Break
03/21Spring Break
03/23Spring Break
3003/265.2Series Solutions near an Ordinary Point5.2:2,8,1503/30
3103/285.3Series Solutions near an Ordinary Point
3203/305.4Regular Singular Points
3304/025.5Series Solutions near a Regular Singular Point5.4:24,25,26,29,3004/06
3404/045.6Series Solutions near a Regular Singular Point
Review SessionReview Problems:
4.1:11-16; 4.2:11-24; 5.2:1-14;
5.4:17-34; 5.5:1-10
Midterm 3
3704/115.6Series Solutions near a Regular Singular Point
3804/136.1The Laplace Transform5.6:13; 6.1:5,16,17,1804/18
3904/166.2Solution of Initial Value Problems
4004/186.3Step Functions
4104/206.4Equations with Discontinuous Forcing Functions6.2:8,16; 6.3:7,21; 6.4:1,1004/27
4204/236.6The Convolution Integral
Review Session
Review SessionReview Problems:
Problems for Midterms;
6.1:15-20; 6.2:1-4,11-14;
6.3:8,9,19,20; 6.4:2,3
Final Exam

Academic Integrity

I will respect OSU's commitment to academic integrity and uphold the values of honesty and responsibility that preserve our academic community. For more information, see http://academicintegrity.okstate.edu.


This syllabus may be subject to future changes and it is your responsibility to be informed. Any change of the syllabus will be announced in class and appear online.