Tentative Schedule and Homework

Date
 Reading Topics
 Homework
3/30 Mon
 1.1-1.4 1. Introduction FERPA
3/31 x-hour
4/1 Wed
 2.1, 2.2, 2.6 2. First Order Differential Equations:
*Integrating factors
*Separable equations
*Exact equations
 HW1: §1.1(#7, 12), §1.2(#8), §1.3(#12),  §2.1(#15, 17, 33), §2.2(#3, 8),
§2.6(#2, 14, 24, 28)
4/3 Fri 2.1, 2.2, 2.6 2. First Order Differential Equations:
*Integrating factors
*Separable equations
*Exact equations
4/6 Mon 2.3, 2.4 2. First Order Differential Equations:
*Existence and Uniqueness Theorem
*Modeling
4/7 x-hour
4/8 Wed 2.4, 2.5 2. First Order Differential Equations:
*Autonomous Equations & Population Dynamics

HW2: §2.3(#2, 9), §2.4(#3, 12, 22(a,b)),

§2.5(#12, 14, 20(a)-(b)), 

§3.1(#8, 18, 23), §3.2(#2, 4)
4/10 Fri 3.1, 3.2 3. Second Order Linear Equations:
*Intro & real distinct roots
4/13 Mon 3.2,3.3 3. Second Order Linear Equations:
*Wronskian & Complex roots
4/14 x-hour
4/15 Wed 3.4,3.5 3. Second Order Linear Equations:
*Repeated roots
*Non-homogeneous equations (Method of undetermined coefficients)		 HW3: §3.2(11, 16, 19, 23, 35, 39),
§3.3(2, 6, 11, 27, 32),  §3.4(14, 25),
§3.5(1, 4, 16, 18, 19) 
4/17 Fri 3.5,3.6 3. Second Order Linear Equations:
*Method of undetermined coefficients
*Variation of Parameters
4/20 Mon 3.6 3. Second Order Linear Equations:
*Variation of Parameters
4/21 x-hourPractice Exam w14
Solutions w14, w15, s12, s14,
4/22 Wed 3.7, 3.8 3. Second Order Linear Equations:
*Spring-Mass system

HW4: §3.6 (4, 8, 17, 28, 30),

§3.7 (2, 7, 16), §3.8 (4, 5, 6, 10),

§5.1 (3, 4, 7, 15, 24, 25)
4/23 Midterm I
(4:00pm-6:00pm,
location: Wilder room 111)
4/24 Fri 5.1 5. Series solution:
*Power Series
4/27 Mon 5.2 5. Series Solution:
*Solution Near Ordinary Points I
4/28 x-hour
4/29 Wed 5.3 5. Series Solution:
*Solution Near Ordinary Points II

HW5: §5.2 (2, 15a, 4, 8, 13),

§5.3 (3, 6, 13, 15), 

§5.4 (7, 8, 11, 23, 24, 31, 39)
5/1 Fri 5.4 5. Series Solution:
*Euler Equations
5/4 Mon 7.1,7.2 7.System of 1st Order ODEs:
*Intro. to Matrix Algebra
5/5 x-hour
5/6 Wed 7.3 7.System of 1st Order ODEs:
*Linear Independence, Eigenvalues & Eigenvectors

HW6: §7.1 (4, 5, 15, 22(a)),

§7.2 (2, 10, 14 (only compute 

determinant), 23)

§7.3 (13, 15, 23, 34), §7.4 (2(a)-(c))

§7.5 (1(a), 5(a), 6(a), 9, 14, 15)
5/8 Fri 7.4,7.5 7.System of 1st Order ODEs
*Homogeneous Linear Systems with Constant Coeff.
5/11 Mon 7.6,7.8 7.System of 1st Order ODEs
*Complex & Repeated Eigenvalues
5/12 x-hourPractice Exam w14,
Solutions w14, w15, s12,
5/13 Wed 7.8 7.System of 1st Order ODEs
*Repeated Eigenvalues
*Review of Series solution and system of ODEs
HW7: §7.6 (5a, 6a, 8)
§7.8 (3, 5, 15, 18a-d)
§10.1 (7, 8, 12, 16, 17)
5/14 Midterm II
(4:00pm-6:00pm,
location: Wilder room 111)
5/15 Fri 10.1 10.Partial Differential Equations:
*Two Point Boundary Value Problems
5/18 Mon 10.2 10.Partial Differential Equations:
*Fourier Series and its coefficients
5/19 x-hour
5/20 Wed 10.3 10.Partial Differential Equations:
*Fourier Series and its coefficients

HW8: §10.2 (1, 4, 6, 8, 13, 17, 28,  read

problem 29)

§10.3 (2, 4, 16 [Hint: Find the Fourier Series for f and apply Method of Undetermined Coefficients])

§10.4 (1, 2, 4, 8, 15, 36)
5/22 Fri 10.4 10.Partial Differential Equations:
*Even and odd functions
5/25 Mon Memorial Day, classes moved to x-hour
5/26 x-hour10.5,10.610.Partial Differential Equations:
*Heat Equations
5/27 Wed 10.5,10.6 10.Partial Differential Equations:
*Heat Equations		 HW9:  §10.5 (6, 8, 10)
§10.6 (2, 8, 9a, 15)
§10.7 (2a, 7a, 9, 13, 16)
5/29 Fri 10.7 10.Partial Differential Equations:
*Wave Equations
6/1 Mon
Wrap up
6/3 Wed
QA session (3:00PM-4:30PM, location: TBA)
Practice Exams w14, s11, w11, f07, f05, f14
Solutions: f14
6/5 Fri
Final exam (3:00PM-6PM, location: Wilder room 111) Final exam: s15