Monday Tuesday Wednesday Thursday Friday
8/27 8/28 8/29
Braun 1.2
8/30 8/31
Braun 1.4
Linear Algebra Lesson 1: Vectors and Matrices
9/3
Holiday
9/4 9/5
Braun 1.9
9/6
Quiz 1
9/7
Braun 1.10
Linear Algebra Lesson 2: Linear Systems
9/10
Braun 2.1
9/11 9/12
Braun 2.2
9/13
Quiz 2
9/14
Braun 2.2.1
Linear Algebra Lesson 3: Reduced Row Echelon Form
9/17
Braun 2.2.2
9/18 9/19
Braun 2.3
9/20
Quiz 3
9/21
Braun 2.4
Linear Algebra Lesson 4: Matrix Inverses
9/24
Braun 2.5
9/25 9/26
Braun 2.5
9/27
Review
9/28
Exam 1
Linear Algebra Lesson 5: Determinants
10/1
Oscillators
10/2 10/3
Braun 2.8
10/4
Quiz 4
10/5
Braun 2.8
10/8
Braun 3.1
10/9 10/10
LinAlg 6
10/11
Quiz 5
10/12
LinAlg 7
10/15
LinAlg 7
10/16 10/17
LinAlg 8
10/18
Quiz 6
10/19
LinAlg 8
10/22
LinAlg 9
10/23 10/24
LinAlg 9
10/25
Review
10/26
Exam 2
10/29
Braun 3.8
10/30 10/31
Braun 3.8
11/1
Quiz 7
11/2
Braun 3.9
11/5
Braun 3.9
11/6 11/7
Braun 3.10
11/8
Quiz 8
11/9
Braun 3.10
11/12
Braun 3.11
11/13 11/14
Braun 3.11
11/15
Review
11/16
Exam 3
11/19
Braun 5.1-5.3
11/20 11/21
Holiday
11/22
Holiday
11/23
Holiday
11/26
Braun 5.1-5.3
11/27 11/28
Braun 5.4
11/29
Quiz 9
11/30
Braun 5.4
12/3
Braun 5.5
12/4 12/5
Braun 5.5
12/6
Quiz 10
12/7
Braun 5.6
12/10
Review
12/11 12/12 12/13 12/14
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
faculty.sfasu.edu/judsontw/ode/html/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/firstlook02.html
Exercises 1-9, 10-21
Challenge: Braun, Section 1.4:
Exercises 11, 13-18
Applications:
Exact
Resource: Braun, Section 1.9
Homework: Braun, Section 1.9:
Exercises 3-11 (check each equation for exactness; solve only those which are exact), 12, 13, 14
Challenge: Braun, Section 1.9:
Exercises 15, 16
Linear Systems
Resource: LinAlg2.html
Homework: LinAlg2HW.html
Picard Iteration
Resource: Braun, Section 1.10
Homework: Braun, Section 1.10:
Exercises 1-3, 5-6 (find $y_1$ and $y_2$), 10-11 (find $y_1$)
faculty.sfasu.edu/judsontw/ode/html/firstlook06.html
Exercises 1(c) (find $y_1$ and $y_2$), 1(e) (find $x_1$, $x_2$, and $x_3$), 5
Applications:
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/firstlook01.html
Exercises 11-14
Challenge: Braun, Section 2.2:
Exercises 9-12
Reduced Row Echelon Form
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/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
Matrix Inverses
Resource: LinAlg4.html
Homework: LinAlg4HW.html
Variation of Parameters
Resource: Braun, Section 2.4
Homework: Braun, Section 2.4:
Exercises 1-6
Challenge: Braun, Section 2.4:
Exercises 9, 10, 12
Judicious Guessing
Resource: Braun, Section 2.5
Judson: Undetermined Coefficients
Judson: Strategy
Homework: Braun, Section 2.5:
Exercises 1-14
faculty.sfasu.edu/judsontw/ode/html/secondorder02.html
Exercises 1-24
Challenge: Braun, Section 2.5:
Exercises 15, 16, 18
Determinants
Resource: LinAlg5.html
Homework: LinAlg5HW.html
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: LinAlg6.html
Homework: LinAlg6HW.html
Subspaces
Resource: LinAlg7.html
Homework: LinAlg7HW.html
Span
Resource: LinAlg8.html
Homework: LinAlg8HW.html
Basis
Resource: LinAlg9.html
LinAlgReview.html
Homework: LinAlg9HW.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
Homework: Braun, Section 3.10:
Exercises 1-8
Note: 2, 5, 6, and 7 can be done with Jordan cycles and by finding the matrix exponential.
1 and 3 can only be done with Jordan cycles. 4 and 8 only with the matrix exponential.
Challenge: Braun, Section 3.10:
Exercises 9-20
Matrix Exponential
Resource: Braun, Section 3.11
EigenReview.pdf
EigenFlowChart.jpg
Homework: Braun, Section 3.11:
Exercises 1-11
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
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.