King Fahd University of Petroleum and Minerals
Department of Mathematics and Statistics
Semester II:
2007-2008(072)
(Instructor: Dr.
Faisal Fairag)
Course #: |
MATH
202
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Title: |
Elements of
Differential Equations |
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Textbook: |
A First
Course in Differential Equations by D.G. Zill, 8th
Edition |
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Week |
Date |
Sec. |
Topics |
Homework
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(CAS) |
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1 |
Feb 12-16* |
1.1 1.2 |
Definition and Terminology Initial-Value Problems
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4, 7, 8, 9, 10, 13, 16,
20, 27, 28, 30
2, 12, 20, 22, 27 |
(55)
-- |
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2 |
Feb 18-22 |
2.2 2.3 |
Separable Variables Linear Equations |
1, 21, 24
8, 14, 20,
22, 23, 27, 45 |
(5,7) (ex 4) |
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3 |
Feb 25-Mar 01 |
2.4 2.5 |
Exact Equations Solutions by Substitutions |
5,
13, 16, 18, 30, 37
2,
5, 8, 15, 25, 27, 29, 31, 42(a), 43, 44 |
(5,9) -- |
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4 |
Mar 04-08 |
2.1
1.3 3.1 |
Solution Curves (light coverage)
Mathematical Models (reading): Growth and Decay, Linear Models |
4, 6, 10,
13, 18, 21, 26, 30 See Sec. # 3.1
3, 6, 13,
14, 15, 19, 20, 21, 23 |
-- -- |
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5 |
Mar 11-15 |
4.1 4.1.1 4.1.2 |
Linear Equations: Basic
Theory Initial-Value and
Boundary-Value Homogeneous Equations |
3, 10, 12,
13
15, 21, 23,
28 |
-- -- |
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EXAM I on |
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6 |
Mar 18-22 |
4.1.3 4.2 |
Nonhomogeneous Equations Reduction of Order |
33, 36, 37(b,e)
1, 3, 12,
14, 19 |
-- -- |
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7 |
Mar 25-29 |
4.3 4.5 |
Homogeneous Linear Equations with Constant Coefficients Undetermined Coefficients
– Annihilator Approach |
4, 9, 12,
15, 20, 34, 40, 49, 50, 51
8, 13, 22,
24, 34, 41, 48, 64, 67, 73 |
(57) -- |
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Midterm Break:
Sat-Sun,
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8 |
Apr 03-05 |
4.6 4.7 |
Variation of Parameters
Cauchy-Euler Equation (Both Methods) |
6, 11, 13,
24, 25, 28
3, 5, 10,
11, 14, 16, 19, 31, 34, 37, 39 |
-- (44) |
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9 |
Apr 08-12 |
6.1 6.1.1 6.1.2 |
Solutions About Ordinary
Points Review of Power Series Power Series Solutions |
1, 10, 11
15, 17, 20,
22, 32 |
-- -- |
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10 |
Apr 15-19 |
6.2 |
Solutions about Singular
PointsÓ |
3, 10, 13,
14, 19, 20, 27 |
(ex 5) |
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EXAM II:
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11 |
Apr 22-26 |
App II
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Matrices and Linear
Systems (review) The Eigenvalue
Problem |
14, 15, 19,
23, 27, 29, 31, 33, 39, 43
47, 49, 52,
53, 55 |
-- -- |
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12 |
Apr 29-May 03 |
8.1 8.2 |
Preliminary Theory Homogeneous Linear Systems
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4, 5, 8,
14, 15, 17, 23, 25 |
-- |
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13 |
May 06-10 |
8.2.1 8.2.2 8.2.3 |
Distinct Real Eigenvalues Repeated Eigenvalues Complex Eigenvalues |
3, 7, 10,
13
19, 21, 23,
25, 27
33, 34, 36,
39, 41, 45 |
(ex 2) -- -- |
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14 |
May 13-17 |
8.3 8.3.2 8.4 |
Nonhomogeneous Linear Systems Variation of Parameters Matrix Exponential |
11, 12, 23,
32
1, 5, 9, 2,
6, 4, 8 |
(35 (a,b)) (27(a)) |
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15 |
May 20-24, + May 27** |
Pace Adjustment, Review |
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*Thursday:
Ó Some statements about Bessel’s equation and Legendre’s equation should be included in the final remarks
about Series Solutions. See the introductory
paragraph of Section 6.3 in page 259.