 
 Syllabus:
Click here for details in a
PDF file 

Course: Math
415, Ordinary and Partial Differential Equations, MWF 3:30pm, Pomerene Hall 

Texts:
(1) Elementary Differential Equations & Boundary Value Problems (8th Ed) by
Boyce and Diprima 

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. 

Office Hours: MW 4:305:30pm
@MW410 and by
appointment 

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. 

Policy:
NO makeup exams without doctor's excuse. Late Homework will be no credit. 

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)

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

Apr 5
Chapter 2.2
Separable Equations
Chapter 2.3
Modeling with First Order Equations
HW 2.3(4,9,14,23)

Apr 7
Chapter 2.3
Modeling with First Order Equations
Chapter 2.4
Differences Between Linear and Nonlinear Equations

Apr 9
Chapter 2.4
HW: 2.4(11,22,28)
Differences Between Linear and Nonlinear Equations

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

Apr 16
3.1 Homogeneous Equations with Constant Coefficients
HW: 3.1 (6 13 19 20)

Apr 19
Chapter 3.2
Fundamental solutions, linear independence
HW: 3.2 (2,8,11,13,23)

Apr 21
First Exam: Ch1 and Ch2 to 2.5

Apr 23
Chapter 3.3: the Wronskian
HW: 3.3 (3,4,15,16,20)

Apr 26
Chapter 3.4
Complex Roots of the Characteristic Equation
HW: 3.4 (2,3,21)

Apr 28
Chapter 3.5
HW:3.5(3,11,12,20,25,30)
Repeated Roots; Reduction of Order

Apr 30
Chapter 3.6
Nonhomogeneous equations: method of undetermined coefficients
HW:3.6 (3,8,14,24)

May 3
Chapter 3.8
Mechanical and electrical vibrations
HW:3.8 (2,6,9,13)

May 5
Chapter 3.9
Mechanical and electrical vibrations
HW 3.9 (5,6,7(a,c),10)

May 7
Chapter 10.1,TwoPoint Boundary Value Problems
HW: 10.1 (2,3,4,14,16)

May 10
Chapter 10.2, Fourier Series
HW: 10.2 (3,4,15,18)

May 12
Chapter 10.3
The Fourier Convergence Theorem
HW: 10.3 (2,3)

May 14
Chapter 10.4 Even and Odd Functions
HW: 10.4 (3,6,7,15,18,35)

May 17
Chapter 10.5: Heat equation with zero boundary conditions
HW 10.5: 3,5,8,10

May 19
Second Exam
Chapter 3 and 10.110.2

May 21
Chapter 10.6: Other Heat Conduction Problems
HW10.6: 2,3,9(a)

May 24
Chapter 10.7
Wave equation
HW 10.7: 1(a),6(a)

May 26
Chapter 10.7,8
Wave equation, Laplace’s equation
HW 10.8: 1(a,b),2,5

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

May 31 (Memorial Day  no class)

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)

June 4
Chapter 7.47.5:
Homogeneous linear systems with constant coefficients
Chapter 7.6:
Complex eigenvalues
HW: 7.6 (2,6)
Review

June 7
Final exam week

June 9
Final exam week

June 11
Final exam week

Spring commencement



