Monday Tuesday Wednesday Thursday Friday
8/26 8/27 8/28
Braun 1.2
8/29 8/30
Braun 1.4
Linear Algebra Lesson 1: Vectors and Matrices
9/2
Holiday
9/3 9/4
Braun 2.1
9/5
Quiz 1
9/6
Braun 2.2
Linear Algebra Lesson 2: Solving Linear Systems
9/9
Braun 2.2.1
9/10 9/11
Braun 2.2.2
9/12
Quiz 2
9/13
Braun 2.3
Linear Algebra Lesson 3: Matrix Inverses
9/16
Braun 2.5
9/17 9/18
Braun 2.5
9/19
Review
9/20
Exam 1
Linear Algebra Lesson 4: Determinants
9/23
Oscillators
9/24 9/25
Braun 2.8
9/26
Quiz 3
9/27
Braun 2.8
9/30
Braun 3.1
10/1 10/2
LinAlg 5
10/3
Quiz 4
10/4
LinAlg 6
10/7
LinAlg 6
10/8 10/9
LinAlg 7
10/10
Quiz 5
10/11
LinAlg 7
10/14
LinAlg 8
10/15 10/16
LinAlg 8
10/17
Review
10/18
Exam 2
10/21
Braun 3.8
10/22 10/23
Braun 3.8
10/24
Quiz 6
10/25
Braun 3.9
10/28
Braun 3.9
10/29 10/30
Braun 3.10
10/31
Quiz 7
11/1
Braun 3.10
11/4
Braun 3.10
11/5 11/6
Braun 3.11
11/7
Quiz 8
11/8
Braun 3.11
11/11
Braun 4.7
11/12 11/13
Braun 4.10
11/14
Review
11/15
Exam 3
11/18
Braun 5.1-5.3
11/19 11/20
Braun 5.1-5.3
11/21
Quiz 9
11/22
Braun 5.4
11/25
Braun 5.4
11/26 11/27
Holiday
11/28
Holiday
11/29
Holiday
12/2
Braun 5.5
12/3 12/4
Braun 5.5
12/5
Quiz 10
12/6
Braun 5.6
12/9
Review
12/10 12/11 12/12 12/13
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:
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:
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)
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:
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:
Series Solutions
Resource: Braun, Section 2.8
Series Example pdf
Homework: Braun, Section 2.8:
Exercises 1-11, 12 (a)
Challenge: Braun, Section 2.8:
Exercises 12 (b), 13-17
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
LinAlgReview.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
Solution to number 4
Complex Alternative Questions
Homework: Braun, Section 3.9:
Exercises 1-8
Note: For 7, just find the general solution. Do not solve the IVP. The solution in the textbook is wrong.
Challenge: Braun, Section 3.9:
Exercise 9
Generalized Eigenvectors
Resource: Braun, Section 3.10
Solution to example 2
Solution to number 5
Generalized Eigenvectors and Arrow Diagrams
Generalized Eigenvectors Examples
Homework: Braun, Section 3.10:
Exercises 1-8 (Include Arrow Diagrams)
Challenge: Braun, Section 3.10:
Exercises 9-20
Matrix Exponential
Resource: Braun, Section 3.11
Judson, 3.9; The Matrix Exponential
EigenReview.pdf
Homework: Braun, Section 3.11:
Exercises 1-7
Phase Plane
Resource: Braun, Section 4.7
Phase Plane Portraits
MIT Phase Plane Mathlet
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
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, Sections 5.1, 5.2, 5.3
Heat Equation and Fourier Series
Homework: Braun, Section 5.3:
Exercises 1, 2
Fourier Series
Resource: Braun, Sections 5.4
https://en.wikipedia.org/wiki/Fourier_series
Homework: Braun, Section 5.4:
Exercises 1-13
Even and Odd Functions
Resource: Braun, Sections 5.5
Homework: Braun, Section 5.5:
Exercises 1-11
Solving the Heat Equation
Resource: Braun, Sections 5.6
Homework: Braun, Section 5.6:
Exercise 1
Compute the solution to the heat equation for any initial heat distribution for which you can compute the Sine series.