DE Lessons

Monday	Tuesday	Wednesday	Thursday	Friday
5/31	6/1	6/2	6/3 Intro and Syllabus	6/4 Braun 1.2
6/7 LinAlg 1	6/8 Braun 1.4	6/9 Euler's Method	6/10 LinAlg 2	6/11 LinAlg 2
6/14 Braun 2.1	6/15 Braun 2.2	6/16 Braun 2.2.1	6/17 Braun 2.2.2	6/18 Review
Exam 1 Start Time: Friday, 6/18, 12 PM Due: Monday, 6/21, 12 PM
6/21 LinAlg 3	6/22 Braun 2.3	6/23 Braun 2.5	6/24 Braun 2.5	6/25 Braun 2.5
6/28 Braun 2.5	6/29 LinAlg 4	6/30 Braun 3.1	7/1 Braun 3.1	7/2 LinAlg 5
7/5 LinAlg 6	7/6 LinAlg 7	7/7 LinAlg 7	7/8 LinAlg 7	7/9 Review
Exam 2 Start Time: Friday, 7/9, 12 PM Due: Monday, 7/12, 12 PM
7/12 LinAlg 8	7/13 LinAlg 8	7/14 LinAlg 8	7/15 Braun 3.8	7/16 Braun 3.8
7/19 Braun 3.9	7/20 Braun 3.9	7/21 Braun 3.10	7/22 Braun 3.10	7/23 Braun 3.11
7/26 Braun 3.11	7/27 Braun 4.7	7/28 Braun 4.7	7/29 Braun 4.7	7/30 Review
Exam 3 Start Time: Friday, 7/30, 12 PM Due: Monday, 8/2, 12 PM
8/2 Braun 4.10	8/3 Braun 4.10	8/4 Braun 4.10	8/5 Braun Ch. 5	8/6 Braun Ch. 5
8/9 Braun Ch. 5	8/10 Braun Ch. 5	8/11 Braun Ch. 5	8/12 Braun Ch. 5	8/13 Review
Exam 4 Start Time: Friday, 8/13, 12 PM Due: Monday, 8/16, 12 PM

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

Euler's Method

Resource:	Judson, Section 1.4.1
Homework:	Braun, Section 1.13: Exercises 1-5
	Judson, Section 1.4, Exercises Exercise 1, parts a, b, and c

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

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
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