Math 415.01
Wei Sun
Email: sun.220@osu.edu
Office: Math Building 312
Phone: (614) 292-1758
Office Hour: 12:30 - 2:30 pm Tuesdays and 12:30 -2:30 pm Thursdays, or by
appointment
The syllabus contains all the information of lecture classes. It will be updated and
adjusted to reflect the pace of the course; please check it regularly. Math 415.01
administered via Carmen, your grades will be posted there; if you find any
mistake in grades, please contact me.
The prerequisite of this course is Mathematics 254. So you are supposed to
master the knowledge in Calculus, especially how to find out anti-derivatives.
Your previous textbook Calculus: Early Transcendentals can help you to go over
the knowledge. The textbook for this course is Elementary Differential Equations
8th OSU Custom. But it is very hard to understand ODE and PDE only by
reading the textbook, so it is strongly recommended to attend the classes
continuously. Besides class attendence, communication with instructors is also
very helpful, you can ask the instructor to clarify anything you do not
understand, or to slow down the pace of the course if you think it is too
fast.
The recommended home work is listed in the syllabus, but only a part of
them will be collected and graded. Weekly homework assignments will be
collected in recitation every Thursday (starting January 12). Which of the
problems will be graded will not be know in advance, so it is in you best
interest to finish all the assigned homework. Late homework will not be
accepted.
There is a short review for Calculus, for more details, please read Calculus:
Early Transcendentals.
Short review of Calculus; Taylor series and Radius of
convergence; Partial fraction;
Method of Integrating Factors; Separable Equations;
Bernoulli equations; Exact Equations; Second Order Linear Equations; Partial
Differential Equations and Fourier Series
Show your work for all problems. Answers without support may not receive credits. In this course, the procedure of solution is much more important than the answer, and unfortunately TA cannot read your mind.
Homework 1 – due Thursday, January 12 in recitation
1.1: 1, 3, 18; 1.3: 1, 6, 14, 23, 27; 2.1: 7, 11c, 17; 2.2: 2, 6,
17, 22
Solution
Homework 2 – due Thursday, January 19 in recitation
2.3: 21, 25; 2.4: 1, 3, 7 ,9 , 31
Solution
Homework 3 – due Thursday, January 26 in recitation
2.5: 1, 3, 5, 9, 13, 15; 2.6: 3, 7, 15, 19, 25, 32
Solution
Homework 4 – due Thursday, February 2 in recitation
3.1: 7, 19; 3.2: 5, 12, 17
Solution
Homework 5 – due Thursday, February 9 in recitation
3.3: 15, 21; 3.4: 15, 25; 3.5: 13, 25, 38; 3.6: 11, 16,
18
Solution
Homework 6 – due Thursday, February 16 in recitation
3.7: 7, 18; 3.8: 6, 11; 3.9: 9, 16; 10.1: 3, 20;
Solution
Homework 7 – due Thursday, February 23 in recitation
10.2: 13, 18; 10.3: 4, 10, 15; 10.4: 2, 7, 19, 31, 36;
Solution
Homework 8 – due Thursday, March 9 in recitation
10.5: 2, 22; 10.6: 21, 22; 10.7: 1a;
Solution
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