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 | Syllabus:
Click here for details in a
PDF file |
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Course: Math
415, Ordinary and Partial Differential Equations, MWF 3:30pm, Pomerene Hall |
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Texts:
(1) Elementary Differential Equations & Boundary Value Problems (8th Ed) by
Boyce and Diprima |
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Topics: Solutions to first order, second order and higher order ordinary differential equations and
partial differential equations; Phase plane analysis; Fourier series; Boundary value problems. |
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Office Hours: MW 4:30-5:30pm
@MW410 and by
appointment |
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Grading: first midterm
(Mon. Apr 19, 20%), second midterm (Mon. May. 17, 25%), final exam( Thur. Jun
10 3:30pm,30%), class participation (5%), and homework and quiz (20%). The letter
grade will be with an approximately 90(A)-80(B)-70(C)-60(D) scale. |
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Policy:
NO make-up exams without doctor's excuse. Late Homework will be no credit. |
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Tentative Schedule: updated regularly |
The HW problems need to
be turned in. HW due every Thursday in TA section. It includes all assignments given in the
previous week (Mon, Wed, Fri).
| Monday |
Wednesday |
Friday |
| Mar 29 (Spring Classes Begin)
Chapter 1: Introduction
Chapter 1.2: Solutions of some ODEs
HW: 1.1 (11), 1.2(11) |
Mar 31
Chapter 1.2: Solutions of some ODEs
Chapter 1.3: Classification of DEs
HW: 1.3(2,3,13,22,23,28)
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Apr 2
Chapter 2.1 & 2.2
HW:2.1 (6,10,15,18,28)
HW 2.2(4,11,25,33)
Linear Equation: Method of Integrating Factors
Separable Equations
Chapter 2.2
Separable Equations
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| Apr 5
Chapter 2.2
Separable Equations
Chapter 2.3
Modeling with First Order Equations
HW 2.3(4,9,14,23)
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Apr 7
Chapter 2.3
Modeling with First Order Equations
Chapter 2.4
Differences Between Linear and Nonlinear Equations
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Apr 9
Chapter 2.4
HW: 2.4(11,22,28)
Differences Between Linear and Nonlinear Equations
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| Apr 12
Chapter 2.5
Autonomous Equations and Population Dynamics
HW 2.5:(3,7,9,17)
| Apr 14
Chapter 2.5
Autonomous Equations and Population Dynamics
3.1 Homogeneous Equations with Constant Coefficients
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Apr 16
3.1 Homogeneous Equations with Constant Coefficients
HW: 3.1 (6 13 19 20)
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| Apr 19
Chapter 3.2
Fundamental solutions, linear independence
HW: 3.2 (2,8,11,13,23)
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Apr 21
First Exam: Ch1 and Ch2 to 2.5
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Apr 23
Chapter 3.3: the Wronskian
HW: 3.3 (3,4,15,16,20)
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| Apr 26
Chapter 3.4
Complex Roots of the Characteristic Equation
HW: 3.4 (2,3,21)
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Apr 28
Chapter 3.5
HW:3.5(3,11,12,20,25,30)
Repeated Roots; Reduction of Order
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Apr 30
Chapter 3.6
Nonhomogeneous equations: method of undetermined coefficients
HW:3.6 (3,8,14,24)
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| May 3
Chapter 3.8
Mechanical and electrical vibrations
HW:3.8 (2,6,9,13)
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May 5
Chapter 3.9
Mechanical and electrical vibrations
HW 3.9 (5,6,7(a,c),10)
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May 7
Chapter 10.1,Two-Point Boundary Value Problems
HW: 10.1 (2,3,4,14,16)
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| May 10
Chapter 10.2, Fourier Series
HW: 10.2 (3,4,15,18)
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May 12
Chapter 10.3
The Fourier Convergence Theorem
HW: 10.3 (2,3)
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May 14
Chapter 10.4 Even and Odd Functions
HW: 10.4 (3,6,7,15,18,35)
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| May 17
Chapter 10.5: Heat equation with zero boundary conditions
HW 10.5: 3,5,8,10
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May 19
Second Exam
Chapter 3 and 10.1-10.2
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May 21
Chapter 10.6: Other Heat Conduction Problems
HW10.6: 2,3,9(a)
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| May 24
Chapter 10.7
Wave equation
HW 10.7: 1(a),6(a)
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May 26
Chapter 10.7,8
Wave equation, Laplace’s equation
HW 10.8: 1(a,b),2,5
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May 28
Chapter 10.8, Chapter 7.1
Laplace’s equation,Systems of first order equations: Linearization at equilibrium – the problem of
stability
HW 7.1: 2,5
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| May 31 (Memorial Day - no class)
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June 2
Chapter 7.3, ex 4, 7,4 Thm1, 2 , 7.5
Eigenvalues, eigenvectors, General solution of X' = PX, homogeneous liear systems with constant coefficients
HW 7.3(15,17,19), 7.5 (1,4)
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June 4
Chapter 7.4-7.5:
Homogeneous linear systems with constant coefficients
Chapter 7.6:
Complex eigenvalues
HW: 7.6 (2,6)
Review
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| June 7
Final exam week
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June 9
Final exam week
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June 11
Final exam week
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| Spring commencement
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