DE Lessons

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

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
	faculty.sfasu.edu/judsontw/ode/html-20180819/firstlook05.html 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
	faculty.sfasu.edu/judsontw/ode/html-20180819/firstlook02.html Exercises 1-9, 10-21
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)
	faculty.sfasu.edu/judsontw/ode/html-20180819/firstlook01.html Exercises 11-14
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
	faculty.sfasu.edu/judsontw/ode/html-20180819/secondorder01.html 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
	faculty.sfasu.edu/judsontw/ode/html-20180819/secondorder02.html Exercises 1-24
Challenge:	Braun, Section 2.5: Exercises 15, 16, 18

Harmonic Oscillators

Resource:	Oscillators.html
	Judson: Spring-Mass Model
	Judson: Spring-Mass Equation
	Judson: Oscillators with Sage
Applications:	Judson, 4.1.1; RLC Circuits Judson, 4.4.1; Resonance and Architecture Judson, 4.4.2; Beats Judson, 4.4.5; The Tacoma Narrows Bridge

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
	http://faculty.sfasu.edu/judsontw/ode/html-20190821/linear04.html Exercises 1-8

Generalized Eigenvectors

Resource:	Braun, Section 3.10
Homework:	http://faculty.sfasu.edu/judsontw/ode/html-20190821/linear05.html Exercises 1-8

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 1-9 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