Tentative Schedule and Homework

Date
 Reading Topics
 Homework
9/16 Mon
 1.1-1.3 1. Introduction FERPA
9/18 Wed
 2.1, 2.2, 2.6 2. First Order Differential Equations:
*Integrating factors
*Separable equations
*Exact equations
 HW1
9/19 x-hour


9/20 Fri 2.1, 2.2, 2.6 2. First Order Differential Equations:
*Integrating factors
*Separable equations
*Exact equations
9/23 Mon 2.3, 2.4 2. First Order Differential Equations:
*Existence and Uniqueness Theorem
*Modeling
9/25 Wed 2.4, 2.5 2. First Order Differential Equations:
*Autonomous Equations & Population Dynamics		 HW2
9/26 x-hour 2.7 2. First Order Differential Equations:
* Numerical Approximation (Euler's Method)
9/27 Fri 3.1, 3.2 3. Second Order Linear Equations:
*Intro & real distinct roots
9/30 Mon 3.2,3.3 3. Second Order Linear Equations:
*Wronskian & Complex roots
10/2 Wed 3.4,3.5 3. Second Order Linear Equations:
*Repeated roots
*Non-homogeneous equations (Method of undetermined coefficients)		 HW3
10/3 x-hour


10/4 Fri 3.5,3.6 3. Second Order Linear Equations:
*Method of undetermined coefficients
*Variation of Parameters
10/7 Mon 3.6 3. Second Order Linear Equations:
*Variation of Parameters
10/9 Wed
Review of 1st and 2nd order differential equations HW4
10/10 x-hour

Practice Exam and Solution
10/11 Fri
Midterm I (4:00pm-6:00pm and location: Silsby 028) Midterm I solution and Statistics
10/11 Fri 3.7, 3.8 3. Second Order Linear Equations:
*Spring-Mass system
10/14 Mon 5.1,5.2 5. Series solution:
*Power Series
*Power Series solution
10/16 Wed 5.2,5.3 5. Series Solution:
*Power Series solution
*Solution Near Ordinary Points		 HW5
10/17 x-hour


10/18 Fri 5.3,5.3 5. Series Solution:
*Solution Near Ordinary Points
10/21 Mon 5.2,5.3 5. Series Solution:
*Solution Near Ordinary Points
10/23 Wed 5.3,5.4 5. Series Solution:
*Euler Equations		 HW6
10/24 x-hour 7.1,7.2 7.System of 1st Order ODEs:
*Intro. to Matrix Algebra
10/25 Fri 7.2,7.3 7.System of 1st Order ODEs:
*Linear Independence, Eigenvalues & Eigenvectors
10/28 Mon 7.4,7.5 7.System of 1st Order ODEs
*Homogeneous Linear Systems with Constant Coeff.
10/30 Wed 7.6,7.8 7.System of 1st Order ODEs
*Complex & Repeated Eigenvalues		 HW7
10/31 x-hour 7.8 7.System of 1st Order ODEs
*Repeated Eigenvalues
*Review of Series solution and system of ODEs
11/1 Fri 10.1 10.Partial Differential Equations:
*Two Point Boundary Value Problems		 Practice Exam and Solution
11/1 Fri
Midterm II (4:00pm-6:00pm and location: Silsby 028) Midterm II solution and Statistics
11/4 Mon 10.2, 10.3 10.Partial Differential Equations:
*Two Point Boundary Value Problems
*Fourier Series and its coefficients
11/6 Wed 10.3, 10.4 10.Partial Differential Equations:
*Fourier Series and its coefficients
 HW8
11/7 x-hour


11/8 Fri 10.5,10.6 10.Partial Differential Equations:
*Heat Equations
11/11 Mon 10.5,10.6 10.Partial Differential Equations:
*Heat Equations
11/13 Wed 10.7 10.Partial Differential Equations:
*Wave Equations		 HW9 (Will not be collected)
11/14 x-hour


11/15 Fri 10.7 10.Partial Differential Equations:
*Wave Equations
11/18 Mon
Wrap up
11/22 Fri
Final exam (11:30AM-2:30PM, Location : Wilder 104)