Introduction to Ordinary Differential Equations
(MAP 2302-U05), Fall 2014
Instructor: Yuanchang Sun
E-mail: yuasun@fiu.edu
Website: www.fiu.edu/~yuasun
Phone: 305-348-4959
Office/Hours: DM 437C/ Tu 2-4pm or by appointment
Lecture time & place: Tu Th 5:00-6:15 pm, Graham Center 287A
Textbook: Introduction to Ordinary Differential Equations, Shepley L. Ross, 4th Edition
Prerequisites: MAC 2312 Calculus II with a “C” or better
Course Plan (Tentative)
Chapter1, Introduction: Section 1.1-1.3 (1-2 lectures)
Chapter 2, First order equations, Sections 2.1-2.4 (3-4 lectures)
Chapter 3, Applications of first equations, Sections 3.2-3.3 (2 lectures)
Chapter 4, High order ODEs, Sections 4.1-4.5 (3-4 lectures)
Chapter 5, Applications of second order ODEs, Sections 5.2-5.3 (1-2 lectures)
Chapter 6, Series solutions of linear ODEs, Sections 6.1-6.2 (3-4 lectures)
Chapter 9, Laplace transform: Sections 9.1-9.4 (6 lectures)
Homework assignments: a list of suggested homework problems is attached in the end. Although
homework will not be collected for grading, it is essential to the course and assessment. Similar questions
will appear in both midterms and final.
Quizzes: No
Exams: there will be three in-class exams (75 minutes) and one final exam (2 hours).
The exams are “closed book”- no books, notes, or phones. Picture I.D. is required and must be presented
upon request. Students are expected to be present for all quizzes and final exam. There are no early exams.
A late exam will be administered only at the discretion of the instructor in the event of a verifiable
emergency. In the event of a verifiable emergency, you must contact the instructor as soon as possible,
and in any case, prior to the next regularly scheduled class.
Grade:
Grade is based on the following:
Midterms: 60 % (3 x 20%)
Midterm I (9/23/2013,Tu), Midterm II (10/23/2013, Thu,), Midterm III (11/20/2013, Thu,)
Final Exam (cumulative, 12/9/2013, Tuesday, 5:00-7:00PM) : 40 %
Your final grade will be based on your percentage of the total available points.
A
≥90
A≥85
B+
≥80
B
≥75
B≥70
C+
≥65
C
≥60
C≥55
D+
≥50
D
≥45
F
<45
Attendance: Attendance and participation in class is a vital part of the learning process. Regular class
attendance in lecture is required. It is the student’s responsibility to keep informed of any announcements,
syllabus adjustments, or policy changes made during scheduled classes.
Academic Integrity: Students are responsible for informing themselves of FIU’s policies regarding
academic dishonesty. Students found in violation of the code are subject to penalties ranging from loss of
credit for work involved to a grade of F in the course, and possible risk of suspension or probation. The
academic dishonesty policy will be enforced in all areas of the course, including homework, quizzes, and
exams. For more information about the academic dishonesty policy and procedures, including information
about your rights and responsibilities as a student, see
http://www2.fiu.edu/~baillyj/edu/academicintegrity.html
Homework (update after each section):
Section 1.1: P5 1-9 (odd).
Section 1.2: P11 1ac, 2a, 3a, 4a, 5, 6, 7.
Section 1.3: P21 1, 2a, 3a, 5, 6, 7.
Section 2.1: P36 1-17 (odd), 19a, 21.
Section 2.2: P46 1-21 (odd).
Section 2.3: P56 1-25 (odd).
Section 2.4: P67 7, 8, 9, 13.
Section 3.2: P88 1, 3.
Section 3.3: P102 1, 3, 7, 9.
Section 4.1B: P122 1-3, 7, 9, 11.
Section 4.1D: P132 1, 3, 5, 9, 10, 11.
Section 4.2: P143 1-11 (odd), 15, 19, 21, 25, 27, 37-47 (odd), 57, 59, 60.
Section 4.3: P159 1, 2, 3, 5, 7, 11, 35, 36, 39, 41, 43.
Section 4.4: P169 1-13 (odd).
Section 4.5: P176 1-9 (odd), 15, 17, 19, 23-29 (odd).
Section 5.2: P197 1, 5ab, 7ab.
Section 5.3: P208 1abc, 3, 7a.
Section 6.1: P249 1-11 (odd), 15, 17.
Section 6.2: P269 1-15 (odd) (5-15 find the solution corresponding to r1 only).
Section 9.1A: P488 3, 5, 7. P481 Example 9.2, 9.4.
Section 9.1B: P496 1, 5-15 (odd).
Section 9.2A: P504 1-17 (odd).
Section 9.2B: P509 1, 3, 5.
Section 9.3: P519 1-11 (odd), 2, 10, 12.
Section 9.4A: P527 1-15 (odd), 21.
Section 9.4B: P530 1-9 (odd).
Section 9.4C: P533 1-9 (odd).
Section 9.4D: P539 1, 3, 5.