Monday Tuesday Wednesday Thursday Friday
8/26
Introduction
8/27 8/28
SIR Model
8/29 8/30
Braun 1.2
9/2
Labor Day
9/3
Quiz 1
Start:
8 AM
9/4
Braun 1.4
9/5
Quiz 1
Due:
5 PM
9/6
Braun 1.4
Linear Algebra Lesson 1: Vectors and Matrices (9/3 - 9/6)
9/9
Braun 2.1
9/10
Quiz 2
Start:
8 AM
9/11
Braun 2.2
9/12
Quiz 2
Due:
5 PM
9/13
Braun 2.2.1
Linear Algebra Lesson 2: Solving Linear Systems (9/9 - 9/13)
9/16
Braun 2.2.2
9/17
Quiz 3
Start:
8 AM
9/18
Braun 2.3
9/19
Quiz 3
Due:
5 PM
9/20
Braun 2.5
Linear Algebra Lesson 3: Matrix Inverses (9/16 - 9/20)
Exam 1
Start Time: Friday, 9/20, 5 PM
Due: Monday, 9/23, 8 AM
9/23
Braun 2.5
9/24
Quiz 4
Start:
8 AM
9/25
Braun 2.5
9/26
Quiz 4
Due:
5 PM
9/27
Braun 2.5
Linear Algebra Lesson 4: Determinants (9/23 - 9/27)
9/30
Oscillators
10/1
Quiz 5
Start:
8 AM
10/2
Braun 3.1
10/3
Quiz 5
Due:
5 PM
10/4
Braun 3.1
10/7
LinAlg 5
10/8
Quiz 6
Start:
8 AM
10/9
LinAlg 6
10/10
Quiz 6
Due:
5 PM
10/11
LinAlg 6
Exam 2
Start Time: Friday, 10/11, 5 PM
Due: Monday, 10/14, 8 AM
10/14
LinAlg 7
10/15
Quiz 7
Start:
8 AM
10/16
LinAlg 7
10/17
Quiz 7
Due:
5 PM
10/18
LinAlg 8
10/21
LinAlg 8
10/22
Quiz 8
Start:
8 AM
10/23
LinAlg 8
10/24
Quiz 8
Due:
5 PM
10/25
Braun 3.8
10/28
Braun 3.8
10/29
Quiz 9
Start:
8 AM
10/30
Braun 3.8
10/31
Quiz 9
Due:
5 PM
11/1
Braun 3.9
11/4
Braun 3.9
11/5
Quiz 10
Start:
8 AM
11/6
Braun 3.10
11/7
Quiz 10
Due:
5 PM
11/8
Braun 3.10
Exam 3
Start Time: Friday, 11/8, 5 PM
Due: Monday, 11/11, 8 AM
11/11
Braun 3.11
11/12
Quiz 11
Start:
8 AM
11/13
Braun 4.7
11/14
Quiz 11
Due:
5 PM
11/15
Braun 4.7
11/18
Braun 4.10
11/19
Quiz 12
Start:
8 AM
11/20
Braun 4.10
11/21
Quiz 12
Due:
5 PM
11/22
Braun 4.10
11/25
Thanksgiving Break
11/26
11/27
11/28
11/29
12/2
Braun Ch. 5
12/3
Quiz 13
Start:
8 AM
12/4
Braun Ch. 5
12/5
Quiz 13
Due:
5 PM
12/6
Braun Ch. 5
12/9
Braun Ch. 5
12/10
12/11
12/12
12/13
Exam 4
Start Time: Monday, 12/9, 5 PM
Due: TBA (due at the same time Final Exam would finish)
SIR Model
Resource: Judson, Section 2.1.3
SIR model pdf
Vectors and Matrices
Resource: LinAlg1.html
Homework: LinAlg1HW.html
First Order Linear
Resource: Braun, Section 1.2
Homework: Braun, Section 1.2:
Exercises 1, 3, 4, 6, 11, 15, 16, 20-23
Do not do the limits in 20-23
https://twjudson.github.io/odeproject-public/firstlook05.html#exercises-firstlook05
Exercises 1-20
Challenge: Braun, Section 1.2:
Exercises 17, 18, 19
Applications:
Separable
Resource: Braun, Section 1.4
Homework: Braun, Section 1.4:
Exercises 1-10
https://twjudson.github.io/odeproject-public/firstlook02.html
Exercises 2-10, 12-20 (11 and 21 have an error)
Challenge: Braun, Section 1.4:
Exercises 11, 13-18
Applications:
Solving Linear Systems
Resource: LinAlg2.html
Homework: LinAlg2HW.html
LSPG.html
Second Order Linear
Resource: Braun, Section 2.1
Homework: Braun, Section 2.1:
Exercises 1-9
Challenge: Braun, Section 2.1:
Exercises 10-19
Applications:
Distinct Real Roots
Resource: Braun, Section 2.2
Homework: Braun, Section 2.2:
Exercises 1-8 (Note Braun's remark for problems 3 and 5)
https://twjudson.github.io/odeproject-public/firstlook01.html#firstlook01-exercises-find-solutions
Exercises 12, 13
Challenge: Braun, Section 2.2:
Exercises 9-12
Matrix Inverses
Resource: LinAlg3.html
Homework: LinAlg3HW.html
Complex Roots
Resource: Braun, Section 2.2.1
Homework: Braun, Section 2.2.1:
Exercises 1-6, 8-10
Challenge: Braun, Section 2.2.1:
Exercises 12-19
Applications:
Repeated Roots
Resource: Braun, Section 2.2.2
Homework: Braun, Section 2.2.2:
Exercises 1-7
https://twjudson.github.io/odeproject-public/secondorder01.html#secondorder01-exercises
Exercises 1-20
Challenge: Braun, Section 2.2.2:
Exercises 8-20
Second Order Nonhomogeneous
Resource: Braun, Section 2.3
Homework: Braun, Section 2.3:
Exercises 1-3
Challenge: Braun, Section 2.3:
Exercises 4 and 5
Determinants
Resource: LinAlg4.html
Homework: LinAlg4HW.html
Judicious Guessing
Resource: Braun, Section 2.5
JudGuess.pdf
Judson: Undetermined Coefficients
Judson: Strategy
Homework: Braun, Section 2.5:
Exercises 1-14
https://twjudson.github.io/odeproject-public/secondorder02.html
Exercises 1-24
Challenge: Braun, Section 2.5:
Exercises 15, 16, 18
Harmonic Oscillators
Resource: Oscillators.html
Judson: Spring-Mass Model
Judson: Oscillators with Sage
Applications:
Linear Systems
Resource: Braun, Section 3.1
Pesticide Example pdf
Homework: Braun, Section 3.1:
Exercises 4-9
Applications:
Vector Spaces
Resource: LinAlg5.html
Homework: Memorize Blue Boxes
Subspaces
Resource: LinAlg6.html
Homework: LinAlg6HW.html
Span
Resource: LinAlg7.html
Homework: LinAlg7HW.html
Basis
Resource: LinAlg8.html
Homework: LinAlg8HW.html
Real Eigenvalues
Resource: Braun, Section 3.8
Solution to number 3
Homework: Braun, Section 3.8:
Exercises 1-12
Hint for 6: p(λ)=λ4-64 λ3
Challenge: Braun, Section 3.8:
Exercises 14-21
Complex Eigenvalues
Resource: Braun, Section 3.9
Homework: Braun, Section 3.9:
Exercises 1, 5, 6
https://twjudson.github.io/odeproject-public/linear04.html#linear04-exercises
Exercises 1-16
Generalized Eigenvectors
Resource: Braun, Section 3.10
Homework: https://twjudson.github.io/odeproject-public/linear05.html#exercises-linear05
Exercises 1-16
Matrix Exponential
Resource: Braun, Section 3.11
Judson, 3.9; The Matrix Exponential
Homework: Braun, Section 3.11:
Exercises 1-7
Phase Plane
Resource: Braun, Section 4.7
Phase Plane Portraits
MIT Phase Plane Mathlet
sagePhase.html
geogebra
Homework: Braun, Section 4.7:
Exercises 1-11
Judson 3.7
Exercises 1-8
Nonlinear Systems
Resource: Braun, Section 4.10
nonlinear.pdf
Lotka Volterra Equations
Judson, 2.2; The Geometry Of Systems
Judson, 5.1; Linearization of Nonlinear Systems
sagePhase.html
Homework: Braun, Section 4.10:
Exercises 3, 4
Describe the phase plane at each equilibrium point.
Judson, 5.1
Exercises 1-6
Describe the phase plane at each equilibrium point.
PDEs and Heat Equation
Resource: Braun, Chapter 5
Heat Equation and Sine Series
Homework: See the pdf above