King Fahd University of Petroleum and Minerals,
Department of Mathematics and Statistics
SYLLABUS
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 |
(CAS) |
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1 |
Feb 16-22 |
1.1 1.2 |
Definition and Terminology Initial-Value Problems |
4, 7, 8, 9, 10, 13, 16, 20, 27, 28, 30 2, 12, 20,
22, 27 |
(55) -- |
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2 |
Feb 23-29 |
2.2 2.3 |
Separable Variables Linear Equations |
8, 14, 20,
22, 23, 27, 45 5,
13, 16, 18, 30, 37 |
(ex 4) (5,9) |
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3 |
Mar 01-07 |
2.4 2.5 |
Exact Equations Solutions by Substitutions |
2,
5, 8, 15, 25, 27, 29, 31, 42(a), 43, 44 4, 6, 10, 13, 18, 21, 26,
30 |
---- |
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EXAM I on |
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4 |
Mar 08-14 |
2.1 1.3 3.1 |
Solution Curves (light coverage) Mathematical Models (reading): Growth and Decay, Linear Models |
1,21,24 See Sec. # 3.1 3, 6, 13, 14,
15, 19, 20, 21, 23 |
(5,7) -- |
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5 |
Mar 15-21 |
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 II: |
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6 |
Mar 22-28 |
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 29- Apr 04 |
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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8 |
Apr 05-11 |
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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Break J Break
J Break
J Break
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9 |
Apr 19-25 |
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 26-May 02 |
6.2 |
Solutions about Singular
PointsÓ |
3, 10, 13,
14, 19, 20, 27 |
(ex 5) |
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EXAM III: |
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11 |
May 03-09 |
App II |
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 |
May 10-16 |
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 17-23 |
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 24-30 |
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 31-June06 |
Pace Adjustment, Review |
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