Monday Tuesday Wednesday Thursday Friday
1/15
1/16 1/17
Introduction
1/18 1/19
SIR Model
1/22
Braun 1.2
1/23
Quiz 1
Start:
8 AM
1/24
Braun 1.4
1/25
Quiz 1
Due:
8 PM
1/26
Braun 1.4
Linear Algebra Lesson 1: Vectors and Matrices (1/22 - 1/26)
1/29
Braun 2.1
1/30
Quiz 2
Start:
8 AM
1/31
Braun 2.2
2/1
Quiz 2
Due:
8 PM
2/2
Braun 2.2.1
Linear Algebra Lesson 2: Solving Linear Systems (1/29 - 2/2)
2/5
Braun 2.2.2
2/6
Quiz 3
Start:
8 AM
2/7
Braun 2.3
2/8
Quiz 3
Due:
8 PM
2/9
Braun 2.5
Linear Algebra Lesson 3: Matrix Inverses (2/5 - 2/9)
Exam 1
Start Time: Friday, 2/9, 5 PM
Due: Monday, 2/12, 8 AM
2/12
Braun 2.5
2/13
Quiz 4
Start:
8 AM
2/14
Braun 2.5
2/15
Quiz 4
Due:
8 PM
2/16
Braun 2.5
Linear Algebra Lesson 4: Determinants (2/12 - 2/16)
2/19
Oscillators
2/20
Quiz 5
Start:
8 AM
2/21
Braun 3.1
2/22
Quiz 5
Due:
8 PM
2/23
Braun 3.1
2/26
LinAlg 5
2/27
Quiz 6
Start:
8 AM
2/28
LinAlg 6
2/29
Quiz 6
Due:
8 PM
3/1
LinAlg 7
Exam 2
Start Time: Friday, 3/1, 5 PM
Due: Monday, 3/4, 8 AM
3/4
LinAlg 7
3/5
Quiz 7
Start:
8 AM
3/6
LinAlg 8
3/7
Quiz 7
Due:
8 PM
3/8
LinAlg 8
3/11
Spring Break
3/12
3/13
3/14
3/15
3/18
Braun 3.8
3/19
Quiz 8
Start:
8 AM
3/20
Braun 3.8
3/21
Quiz 8
Due:
8 PM
3/22
Braun 3.9
3/25
Braun 3.9
3/26
Quiz 9
Start:
8 AM
3/27
Braun 3.10
3/28
Quiz 9
Due:
8 PM
3/29
Braun 3.10
4/1
Braun 3.11
4/2
Quiz 10
Start:
8 AM
4/3
Braun 4.7
4/4
Quiz 10
Due:
8 PM
4/5
Braun 4.7
Exam 3
Start Time: Friday, 4/5, 5 PM
Due: Monday, 4/8, 8 AM
4/8
Braun 4.10
4/9
Quiz 11
Start:
8 AM
4/10
Braun 4.10
4/11
Quiz 11
Due:
8 PM
4/12
Braun 4.10
4/15
Braun Ch. 5
4/16
Quiz 12
Start:
8 AM
4/17
Braun Ch. 5
4/18
Quiz 12
Due:
8 PM
4/19
Braun Ch. 5
4/22
Braun Ch. 5
4/23
Quiz 13
Start:
8 AM
4/24
Braun Ch. 5
4/25
Quiz 13
Due:
8 PM
4/26
Braun Ch. 5
4/29
No Class
4/30
5/1
5/2
5/3
Exam 4
Start Time: Monday, 4/29, 5 PM
Due: TBA (due at the time our regularly scheduled final ends)
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