Tentative Schedule and Homework

Date
 Reading Topics
 Homework
9/15 Mon
 1.1-1.4 1. Introduction FERPA
9/17 Wed
 2.1, 2.2, 2.6 2. First Order Differential Equations:
*Integrating factors
*Separable equations
*Exact equations
 HW1
9/18 x-hour


9/19 Fri 2.1, 2.2, 2.6 2. First Order Differential Equations:
*Integrating factors
*Separable equations
*Exact equations
9/22 Mon 2.3, 2.4 2. First Order Differential Equations:
*Existence and Uniqueness Theorem
*Modeling
9/24 Wed 2.4, 2.5 2. First Order Differential Equations:
*Autonomous Equations & Population Dynamics		 HW2
9/25 x-hour 2.7 2. First Order Differential Equations:
* Numerical Approximation (Euler's Method)
9/26 Fri 3.1, 3.2 3. Second Order Linear Equations:
*Intro & real distinct roots
9/29 Mon 3.2,3.3 3. Second Order Linear Equations:
*Wronskian & Complex roots
10/1 Wed 3.4,3.5 3. Second Order Linear Equations:
*Repeated roots
*Non-homogeneous equations (Method of undetermined coefficients)		 HW3
10/2 x-hour


10/3 Fri 3.5,3.6 3. Second Order Linear Equations:
*Method of undetermined coefficients
*Variation of Parameters
10/6 Mon 3.6 3. Second Order Linear Equations:
*Variation of Parameters
10/8 Wed
Review of 1st and 2nd order differential equations HW4
10/9 x-hour

Practice Exam
Solution
10/10 Fri
Midterm I
(4:00pm-6:00pm and location: Carpenter 013) 		Distribution
Midterm I solution
10/10 Fri 3.7, 3.8 3. Second Order Linear Equations:
*Spring-Mass system
10/13 Mon 5.1,5.2 5. Series solution:
*Power Series
*Power Series solution
10/15 Wed 5.2,5.3 5. Series Solution:
*Power Series solution
*Solution Near Ordinary Points		 HW5
10/16 x-hour


10/17 Fri 5.3,5.3 5. Series Solution:
*Solution Near Ordinary Points
10/20 Mon 5.2,5.3 5. Series Solution:
*Solution Near Ordinary Points
10/22 Wed 5.3,5.4 5. Series Solution:
*Euler Equations		 HW6
10/23 x-hour 7.1,7.2 7.System of 1st Order ODEs:
*Intro. to Matrix Algebra
10/24 Fri 7.2,7.3 7.System of 1st Order ODEs:
*Linear Independence, Eigenvalues & Eigenvectors
10/27 Mon 7.4,7.5 7.System of 1st Order ODEs
*Homogeneous Linear Systems with Constant Coeff.
10/29 Wed 7.6,7.8 7.System of 1st Order ODEs
*Complex & Repeated Eigenvalues		 HW7
10/30 x-hour 7.8 7.System of 1st Order ODEs
*Repeated Eigenvalues
*Review of Series solution and system of ODEs
10/31 Fri 10.1 10.Partial Differential Equations:
*Two Point Boundary Value Problems		 Practice Exam
Solution
10/31 Fri
Midterm II
(4:00pm-6:00pm and location: Carson Hall Room L01)		 Distribution
Midterm II Solution
11/3 Mon 10.2, 10.3 10.Partial Differential Equations:
*Two Point Boundary Value Problems
*Fourier Series and its coefficients
11/5 Wed 10.3, 10.4 10.Partial Differential Equations:
*Fourier Series and its coefficients
 HW8
11/6 x-hour


11/7 Fri 10.5,10.6 10.Partial Differential Equations:
*Heat Equations
11/10 Mon 10.5,10.6 10.Partial Differential Equations:
*Heat Equations
11/12 Wed 10.7 10.Partial Differential Equations:
*Wave Equations		 HW9
11/13 x-hour


11/14 Fri 10.7 10.Partial Differential Equations:
*Wave Equations
11/17 Mon
Wrap up
11/19 Wed
QA session (3:00PM-4:30PM, Kemeny 105) Practice Exam
Solution
11/21 Fri
Final exam (3:00PM-6:00PM, Kemeny 008)