DE Lessons

Monday	Tuesday	Wednesday	Thursday	Friday
8/21 Introduction	8/22	8/23 SIR Model	8/24	8/25 Braun 1.2
8/28 Braun 1.4	8/29 Quiz 1 Start: 8 AM	8/30 Braun 1.4	8/31 Quiz 1 Due: 8 PM	9/1 Braun 2.1
Linear Algebra Lesson 1: Vectors and Matrices (8/28 - 9/1)
9/4 Labor Day	9/5 Quiz 2 Start: 8 AM	9/6 Braun 2.2	9/7 Quiz 2 Due: 8 PM	9/8 Braun 2.2.1
Linear Algebra Lesson 2: Solving Linear Systems (9/5 - 9/8)
9/11 Braun 2.2.2	9/12 Quiz 3 Start: 8 AM	9/13 Braun 2.3	9/14 Quiz 3 Due: 8 PM	9/15 Braun 2.5
Linear Algebra Lesson 3: Matrix Inverses (9/11 - 9/15)
Exam 1 Start Time: Friday, 9/15, 5 PM Due: Monday, 9/18, 8 AM
9/18 Braun 2.5	9/19 Quiz 4 Start: 8 AM	9/20 Braun 2.5	9/21 Quiz 4 Due: 8 PM	9/22 Braun 2.5
Linear Algebra Lesson 4: Determinants (9/18 - 9/22)
9/25 Oscillators	9/26 Quiz 5 Start: 8 AM	9/27 Oscillators	9/28 Quiz 5 Due: 8 PM	9/29 Braun 3.1
10/2 Braun 3.1	10/3 Quiz 6 Start: 8 AM	10/4 LinAlg 5	10/5 Quiz 6 Due: 8 PM	10/6 LinAlg 6
10/9 LinAlg 7	10/10 Quiz 7 Start: 8 AM	10/11 LinAlg 7	10/12 Quiz 7 Due: 8 PM	10/13 LinAlg 8
Exam 2 Start Time: Friday, 10/13, 5 PM Due: Monday, 10/16, 8 AM
10/16 LinAlg 8	10/17 Quiz 8 Start: 8 AM	10/18 LinAlg 8	10/19 Quiz 8 Due: 8 PM	10/20 Braun 3.8
10/23 Braun 3.8	10/24 Quiz 9 Start: 8 AM	10/25 Braun 3.8	10/26 Quiz 9 Due: 8 PM	10/27 Braun 3.9
10/30 Braun 3.9	10/31 Quiz 10 Start: 8 AM	11/1 Braun 3.10	11/2 Quiz 10 Due: 8 PM	11/3 Braun 3.10
11/6 Braun 3.11	11/7 Quiz 11 Start: 8 AM	11/8 Braun 4.7	11/9 Quiz 11 Due: 8 PM	11/10 Braun 4.7
Exam 3 Start Time: Friday, 11/10, 5 PM Due: Monday, 11/13, 8 AM
11/13 Braun 4.10	11/14 Quiz 12 Start: 8 AM	11/15 Braun 4.10	11/16 Quiz 12 Due: 8 PM	11/17 Braun 4.10
11/20 Thanksgiving	11/21	11/22	11/23	11/24
11/27 Braun Ch. 5	11/28 Quiz 13 Start: 8 AM	11/29 Braun Ch. 5	11/30 Quiz 13 Due: 8 PM	12/1 Braun Ch. 5
12/4 Braun Ch. 5	12/5	12/6	12/7	12/8
Exam 4 Start Time: Monday, 12/4, 5 PM Due: TBA (depends on Final Exam schedule)

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:	Braun, Section 1.3; Art Forgeries Judson, 1.1.1; Exponential Growth Judson, 1.3.1 - 1.3.4; RC Circuits and Slope Fields Judson, 1.5.1 - 1.5.2; Mine Tailings Judson, 1.5.3; Mixing Models Judson, 1.5.4; Finance Models

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:	Braun, Section 1.8(c); Orthogonal Trajectories Braun 1.8 Example 2 Braun 1.8 #12 Braun 1.8 #14 Judson, 1.1.2; Logistic Growth Logistic Growth Curve Judson, 1.2.2; Newton's Law of Cooling

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:	Judson, 4.1.1; RLC Circuit

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:	Judson, 2.3.1; Crane's and Duffing's Equation

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:	Judson, 4.1.1; RLC Circuits Judson, 4.4.1; Resonance and Architecture Judson, 4.4.2; Beats

Linear Systems

Resource:	Braun, Section 3.1
	Pesticide Example pdf
Homework:	Braun, Section 3.1: Exercises 4-9
Applications:	Judson, 3.2.1; Mixing Problem

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