MATH 240 : Elementary Differential Equations for Summer 2010

Syllabus :

Text: Elementary Differential Equations, A Geometric Approach, Andrew G. Bennett. Coordinator: Mukta Bhandari Mukta@math.ksu.edu 785-532-0596 CW 126 (office) Goals of the course: To introduce students to the basic concepts and uses of differential equations, as well as methods and techniques for solving them.

Web page: There is a course web page at http://www.math.ksu.edu/math240.This contains link to a copy of this syllabus and links to the Computer Labs, Online problems, and other miscellaneous information. Structure of the course: This course is organized differently than the spring or fall. Classes meet every day of the summer session and there are no common lectures. Instead, the lecture and recitation are combined. The material to be covered in each section, the written homework assignments and on-line assignments are posted on the course web page.

There are two sections of this course offered this summer: Instructor Ref. # Days Time Room Mukta Bhandari 11293 MTWUF 10:30—11:50AM CW 122 Nguyen Hoang 11291 MTWUF 90:00—10:20PM CW 130 You are expected to attend each day of this course, a one hour 20 minute class session. The class session will consist of a lecture followed by a recitation. First half of the class will be Lecture type and second half of the class will be of recitation type. During the recitation time you will have the chance to ask questions and work selected problems. Every Tuesday we will meet in the computer lab (CW 145). During the lab hours you will be given a short description of the lab after which you will have to work on the lab assignment.

Examinations: The exams will be given in your regular classroom during your regular class time on the following Fridays: June 18, July 2, and July 16. Exams may include material from lectures, homework, and labs. The final exam will be comprehensive and will be on Friday July 30. The exams will last 90 minutes. The final exam will last 2 hours. Exams will be closed book, but you will be permitted one 8.5”x11” sheet of handwritten notes. You will also be permitted a calculator (without a QWERTY keyboard). If you miss, or expect to miss an exam and have a valid reason, you must notify your instructor as soon as possible.

Homework: There will be 8 written assignments consisting of problems chosen from the text. Each assignment will be scored out of 10 points. All the problems on each assignment will be graded and your assignments will be returned to you. Your instructor will let you know where to turn in the assignments. Written Homework will be due every Monday by 5:00 p.m. See the assignment sheet for which sections are due on each Monday. There is no guarantee that homework will be returned prior to an examination (if you wish to have your homework to study, then please make a copy for yourself). Please write legibly and present your solutions in an organized and coherent form. Notify your instructor if you have a legitimate reason for not turning in homework on time.

Online homework: There will be 18 online homework assignments. These will be automatically graded and scored. You can attempt each online HW as many times as you wish. The best score will be recorded. The final points will be scaled to 80 points.

Lab: There will be a total of 9 computer labs which you will do during your Tuesday lab period. The lab reports are due by 5:00 p.m. on the next Tuesday. Each lab assignment is 10 point worth. Again, I stress that all labs be written neatly and in an organized fashion. As with the assignments, please label your labs with the correct lab number. No late lab report will be accepted.

Extra Credit: In addition, there are four extra credit assignments you may do. The extra credit problems will be handed to you during your regular class by your instructor. These are truly extra credit; the grading scale will be determined based on the required work for the course, and any extra credit points you have earned will be added to your score after the grading scale for the course has been determined.

Grading: Grades will be determined from your performance at the exams, written homework, online homework, lab assignments, and final exam. We will scale written homework, online homework, and lab scores to 80 points each. The points are added and your final grade is determined from your total points. The following is the breakdown of the total 600 points:

maximum possible points: Exams (80 points each) Total possible 240 Final exam Total possible 120 Homework Total possible 80 Online homework Total possible 80 Lab assignments Total possible 80 Total for the course 600

If you receive 90% (respectively 80%, 70%, 60%) of the total possible points in the course, you are guaranteed to receive an A (respectively B, C , D) in the course. Possibly, the final grading scale could be lower than this, depending on the difficulty of the examinations Office Hours/Help Session: There are three office hours per week. Your instructor will announce his/her office hours in your first day of the class. There are help sessions run in CW 041/144. This is a free service to students. There will be instructors to help you solve your homework problems, and understand the materials taught. Please check the course webpage or ask your instructor about this if you have any question. The university requires that this syllabus contain these statements:

Statement Regarding Academic Honesty Kansas State University has an Honor System based on personal integrity, which is presumed to be sufficient assurance that, in academic matters, one's work is performed honestly and without unauthorized assistance. Undergraduate and graduate students, by registration, acknowledge the jurisdiction of the Honor System. The policies and procedures of the Honor System apply to all full and part-time students enrolled in undergraduate and graduate courses on-campus, off-campus, and via distance learning. The honor system website can be reached via the following URL: www.ksu.edu/honor . A component vital to the Honor System is the inclusion of the Honor Pledge which applies to all assignments, examinations, or other course work undertaken by students. The Honor Pledge is implied, whether or not it is stated: "On my honor, as a student, I have neither given nor received unauthorized aid on this academic work." A grade of XF can result from a breach of academic honesty. The F indicates failure in the course; the X indicates the reason is an Honor Pledge violation.

Statements for Academic Accommodations for Students with Disabilities Any student with a disability who needs a classroom accommodation, access to technology or other assistance in this course should contact Disability Support Services and/or the instructor.

Statement Defining Expectations for Classroom Conduct All student activities in the University, including this course, are governed by the Student Judicial Conduct Code as outlined in the Student Governing Association By Laws, Article VI, Section 3, number 2. Students who engage in behavior that disrupts the learning environment may be asked to leave the class.

Statement for Copyright Notification Copyright 2010, Mukta Bhandari, as to this syllabus and all lectures. During this course students are prohibited from selling notes to or being paid for taking notes by any person or commercial firm without the express written permission of the instructor teaching this course.

Tentative Schedule of Assignments Math 240 Summer 2007

Week 1(June 7–June 11)

Day Lecture Assignment Monday June 7

1.2. Separable equations 1.3. Initial value problems

1.2:1,3, 12,14 1.3: 10,14,20 Separable Online

Tuesday June 8

Slope field instructions Autonomous equations instructions

Lab 1 report

Wednesday June 9

1.4. Exact equations 1.5. Linear equations

1.4: 3,7,8,9,11,4 1.5: 6,10,18 Exact On-line Linear Online

Thursday June 10

1.6. Change of variables

1.6: 2,8,10,14,16 Bernoulli On-line Homogeneous Online

Friday June 11

1.13. Population models 1.14. Harvesting models

1.16: 22,24,25,28,30 Long term behavior Online

Week 2( June 14-June 18)

Day Lecture Assignment Monday June 14

2.1 Complex Variable 2.2 Geometry of Complex variable

2.1:3,8,15,18,20

Tuesday June 15

1.8. numerical Method Lab 2

Wednesday June 16

2.3 Alternative forms of trigonometric functions 2.5 The theory of linear equations

2.3:3,4,8,12,15

Thursday June 17

Review exam 1

Review exam 1

Friday June 18

Exam 1 Exam 1

Week 3 (June 21 – June 25)

Day Lecture Assignment Monday June 21

2.6. Homogeneous equations 2.6: 2,6,12,14,30 2nd order Homogeneous eq. Online

Tuesday June 22

2.15 Theory of First order equations

Lab 3

Wednesday June 23

2.7. Inhomogeneous equations 2.8. Variation of parameters

2.7: 6,8,14 2.8: 3,5 2nd order Inhomogeneous eq. Online

Thursday June 24

2.11. Free motion 2.12. Forced motion

2.11: 2,3,6,7,8 Spring Mass On-line

Friday June 25

2.12. Forced motion. L.R.C. circuits

2.12: 1,8,12,17,20 Circuits Online

Week 4 (June 28- July 02)

Day Lecture Assignment Monday June 28

2.9. Boundary value problems 2.9: 2,4

Tuesday June 29

Lab 4: Complex Numbers Lab 4: Complex Numbers

Wednesday June 30

Exam 2 Review Exam 2 Review

Thursday July 01

2.14. System of equations Take Home Exam due

2.14: 3,5,7 Take Home Exam due

Friday July 02

3.1 Laplace Transform 3.1: 2,4,8,9,11,12,15,17

Week 5 (July 5 – July 9)

Day Lecture Assignment Monday July 5

University Holiday

University Holiday

Tuesday July 6

Stability Lab instructions

Lab 5

Wednesday July 7

3.2The Gamma Function 3.2: 1,4-9. Laplace transform Online Inverse Laplace transform On-line

Thursday July 8

3.3. Solving differential equations with Laplace transforms

3.3: 1,2,8,16,17

Friday July 9

3.5. Impulse functions 3.5: 2,4,9,14,15,16 Impulse functions Online

Week 6 (July 12– July 16) Day Lecture Assignment Monday July 12

3.6. Convolutions 3.6: 1,3,4,5,7.

Tuesday July 13

Linear Systems instructions

Lab 8 report

Wednesday July 14

3.7. Systems of equations 3.7:1,2,5,10 Linear Systems On-line

Thursday July 15

Review for Exam 3

Friday June 16

Exam 3

Week 7 (July 19 – July 23)

Day Lecture Assignment Monday July 19

Nonlinear systems See Tentative Schedule for link to the assignment (Print it out and finish it as a written homework)

Tuesday July 20

Radius of Convergence instructions

Lab 9 report

Wednesday July 21

4.1. Power series 4.2. Radius of convergence for power series

4.1: 2,3,9,12,19

Thursday July 22

4.3. Series solutions

4.3: 3,5,10,11,15 Series solutions Online

Friday July 23

4.4. Radius of convergence 4.8. Regular singular points

4.4: 1,2,8 4.8: 2,5,6,10,16 Radius of convergence Online

Week 8 (July 26– July 30)

Days Lecture/ Assignments Assignment Monday June 26

4.7 Euler Equations

4.7: 1,4,13,17,20.

Tuesday June 27

Wednesday June 28

Thursday June 29

Review for the Final Exam

Friday June 30

Final Exam