2065 Elementary Differential
Equations (Syllabus)
Section 3, TT, 232 Miller, 12.00-1.20
Section 4, TT, 232 Miller, 1.30-2.50
Ordinary differential equations; emphasis on solving
linear differential equations.
https://www.math.lsu.edu/~borisr/Teaching/Fall
2013/2065/index.html
Prerequisites: The student is assumed to be capable and versed in the
standard Pre-Calculus topics, Calculus I (1550), and Calculus II (1552).
Instructor: Boris Rubin; borisr@math.lsu.edu,
348 Lockett Hall;
Office hours: Tuesday
3.30-4.30 and by appointment.
Teaching Assistants: Karthik Adimurthi;
kadimu1@math.lsu.edu, 145B
Prescott Hall;
Office
hours: Tuesday 12.00-1.00, 3.00-4.30, and
by appointment.
………………………………Dr. Vivian
Ho, vivian@math.lsu.edu,
349 Lockett Hall;
Office hours: Monday, Friday
3.00-4.00 pm and by appointment.
Textbook:
[AD] W. Adkins, M. Davidson, Ordinary Differential
Equations, Springer, 2012 (required)
Grading: Your work will be graded by a certain number of
points according to the quality, correctness, and clarity of your home and
examination works. Note that the grade can be reduced if the submitted work is
not neatly written, even if it is mathematically correct. All the points will
be summed up at the end of the semester.
Home work: 20 points
(average).
Test
1, October 15, Tuesday, 20
points.
Test
2, November 19, Tuesday, 20 points.
Final examination (40 points):
Sec. 3: December 13, Friday, 10.00–12.00, Miller 232.
Sec.4: December 12, Thursday, 5.30-7.30 pm, Miller 232.
The final grade will be issued according to the following
total number of points:
A: 90-100; B: 75-89;
C: 60-74; D: 45-59; F: 0-44.
Home works must be handed in every Thursday at the
beginning of class. The grade of every
submitted work
Plan to spend a substantial amount of time reading the
section(s) covered, reviewing class notes, and working homework exercises. You
are expected to attend each regularly scheduled class. Read each section
critically and carefully, look at the worked examples, and work problems in
addition to the assigned homework problems to gain a full understanding. Make
use of my office hours, ask questions in class, discuss the material with other
members of the class, etc.
Note that our 3h/week course requires approximately 6h/week working at
home. If you have to update your knowledge and skills in Calculus and
Elementary Mathematics you need 2-3 times more.
No make-up exams, except in extreme cases. If you must miss
an exam, you should notify me before the exam takes place. No electronic
devices in class. There will be no curve.
Additional Information. The lowest grade for the homework will not be counted. I
am planning several closed-book pop-quizzes (10 points each). The average
amount of points for these quizzes will be added as a bonus.
Home Work Assignments:
Aug 27: Read pp.
1-11 in [AD]. Exercises: p. 13 (4-11), p. 14 (13,17).
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Aug 29: Read in
[AD]: pp. 9-10 (Initial Value Problems), 27-33 (Separable Equations).
Exercises: p. 15 (27, 29, 37), p. 41 (1-9,13,19).
Sept 3: Read in [AD]: pp. 27-33. Exercises: p. 41 (11, 17,
21, 23).
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Sept 5: Read in [AD]: pp. 45-54 (up to Mixing Problems).
Exercises: p. 41 (25, 27, 29, 31).
Sept 10: Read in [AD]: pp. 45-54 (up to Mixing Problems).
Exercises: p. 59 (1,3,5,11,19).
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Sept 12: Read in [AD]: pp. 63-66. Exercises: p. 71 (1, 3,
5, 7).
Sept 17: Read in [AD]: pp. 66-68. Exercises: p. 71 (9, 11,
15, 19, 21).
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Sept 19: Read in [AD]: pp. 85-98. Exercises: p. 99
(1,3,5,7,10,11,12,13,14).
Sept 24: Read here: pp.
377-382. Exercises: p. 383 (in the link) (1,3,7,9).
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Sept 26: Read lecture notes. Exercises: p. 125 (1,2,3,4).
Oct 1: Read lecture notes. Exercises: p. 125
(7,9,11,15).
Oct 3: Read lecture notes and here:
pp. 87-93. Exercises: pp. 93-94 (in the link) (1,3,5,7,9,13,17,19).
Oct 8: Read lecture notes and here: pp. 95-105. Exercises: pp. 106-107 (in
the link) (3,7,13,25).
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Oct 17: Read lecture notes and here: pp. 107-116. Exercises: pp. 115 (in
the link) (3,5,9,11).
Oct 22: Read lecture notes and here: pp. 107-116. Exercises: pp. 115 (in
the link) (13,15).
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Oct 24: Read lecture notes and pp. 130-135, 139, 140
(Remark 3.23) here. Exercises: pp. 135-136 (in
the link) (1-16, 21, 24(b)), p. 138 (27,28).
Oct 29: Read lecture notes. Exercises: pp. 143-144 (here) (1-6).
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Oct 31: Read lecture notes and Sec. 3.3 here . Exercises: pp. 147-148 (here) (1-16, 20).
Nov 5: Read lecture notes and Sec. 3.5 here. Exercises: p. 162 (in the link)
(1,3,5,18,20,28).
Nov 12: Read lecture notes and Sec. 3.4 here. Exercises: p. 152-153 (in the link)
(2,4,7,9,10,11,12).
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Nov 21: Read lecture notes and Sec. 3.6 here . Exercises: pp. 167-168 (in the
link) (1,2,3,4,9).
Nov 26: Read lecture notes. Use the method of variation of
the parameter to solve the problems 11,13,14,15,17 on p. 59 in [AD]. Review the
material and prepare questions for Dec 3,5.
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Dec 3: Review of the topics 1-7 (see the examination
program).
Dec 5: Review of the topics 8-13 (see the examination
program).