Course: S13 - MATH027 - Linear Algebra

Weekly outline

General
January 21 - January 27
- hwk1.1 - due Tues 1/29 Assignment
- hwk1.2 - For internal grade recording use only Assignment
- Student Info Sheet File
- Monday
- Chapter 1 - Intro to linear systems
- Wednesday
- Chapter 1 - Intro to linear systems
- Friday
- Chapter 1 - Intro to linear systems
January 28 - February 3
- hwk2.1 - due Tues 2/5 Assignment
- hwk2.2 - For internal grade recording use only Assignment
- Monday
- Chapter 1 - Intro to linear systems
- Wednesday
- Chapter 1 - Intro to linear systems
- GaussJordanElimination.nb File
- Friday
- 7.1 Intro to dynamical systems and eigenvectors
- lilac_bush_growth_in_mathematica.nb File
February 4 - February 10
- hwk3.1 - due Tues 2/12 Assignment
- hwk3.2 - For internal grade recording use only Assignment
- Monday
- 7.1 Intro to dynamical systems and eigenvectors
- 2.1 - Intro to transformations
- Wednesday
- 2.1 completed
- Friday
- 2.2 - Some geometry of linear transformations in the plane
February 11 - February 17
- hwk4.1 - Due Tues 2/19 Assignment
- hwk4_monday_v2 File
- hwk4.2 - For internal grade recording use only Assignment
- Monday
- 2.2 continued
- 2.3 - Matrix multiplication
- Wednesday
- 2.3 continued
- Friday
February 18 - February 24
- hwk5.1 - dues tues 2/26 Assignment
- hwk5.2 - For internal grade recording use only Assignment
- Monday
- 2.4 - Inverses
- Wednesday
- 2.4 completed
- Friday
- 3.1 - Image and kernel
February 25 - March 3
- hwk6.1 - due tues 3/5 Assignment
- hwk6.2 - For internal grade recording use only Assignment
- Monday
- in class exam review
- Tuesday
- midterm 1 - Tues 2/26, 7:00-8:30PM, room sci 199 Assignment
- m027_2013sp_review_sheet_exam1 File
- Wednesday
- 3.1 continued
- Friday
- 3.2 - Subspaces, bases, and linear independence
March 4 - March 10
- hwk7.1 - due tues 3/19 Assignment
- hwk7.2 - For internal grade recording use only Assignment
- Monday
- 3.2 continued
- Wednesday
- 3.2 continued
- Friday
- 3.2 completed
- 3.3 - Dimension
March 11 - March 17
- NO CLASS - SPRING BREAK
March 18 - March 24
- hwk8.1 - due tues 3/26 Assignment
- hwk8.2 - For internal grade recording use only Assignment
- Monday
- 3.3 continued
- Wednesday
- 3.3 completed
- 3.4 - Coordinates
- Friday
- 3.4 - Coordinates
- 7.1 - Eigenvectors, eigenvalues, and their meanings
March 25 - March 31
- hwk9.1 - due tues 4/2 Assignment
- hwk9.2 - For internal grade recording use only Assignment
- Monday
- 3.4 - Coordinates
- 7.1 - Eigenvectors, eigenvalues, and their meanings
- 7.4 - Diagonalization
- Wednesday
- ch 6 - Determinants (done out of order)
- 6.2 - Cofactor expansion
- Friday
- sick day
April 1 - April 7
- hwk10.1 - due tues 4/9 Assignment
- hwk10.2 - For internal grade recording use only Assignment
- determinants by Lay.pdf File
- Monday
- 6.2 - Cofactor expansion continued
- Wednesday
- 6.1 & 6.2 - Properties of the determinant
- Friday
- 6.1 & 6.2 continued
April 8 - April 14
- Monday
- in class review
- Tuesday
- midterm 2 - Tues 4/9, 7:00-8:30PM, room TBD Assignment
- m027_2013sp_review_sheet_exam2 File
- Wednesday
- 7.2 - Finding Eigenvalues
- Friday
- no class
April 15 - April 21
- hwk12.1 - due tues 4/23 Assignment
- hwk12.2 - For internal grade recording use only Assignment
- Yatzi homework File
- Monday
- 7.2 - Finding Eigenvalues
- 7.3 - Finding Eigenvectors
- Wednesday
- 7.3 - Finding Eigenvectors
- Friday
- 7.3 - Finding Eigenvectors
- Markov Chains & Google's PageRank
- Intro_to_Markov_chains_in_Mathematica File
- Intro_to_PageRank_in_Mathematica File
- Pre-lecture_pictures_2013-04-19 File
April 22 - April 28
- hwk13.1 - due tues 4/30 Assignment
- hwk13.2 - For internal grade recording use only Assignment
- Ch 5 - Briefly
- Monday
- 5.4 - Least Square and Data Fitting
- 5.1 - Orthogonality and Orthonormal Bases
- Wednesday
- 5.1 - Orthogonality and Orthonormal Bases
- Friday
- 5.4 - Least Square and Data Fitting
- Least_Squares_in_mathematica File
April 29 - May 5
- hwk14.1 - due fri 5/3 Assignment
- hwk14.2 - For internal grade recording use only Assignment
- The MCMC Revolution paper File
- Monday
- 6.3 - Geometric Meaning of the Determinant & Brief Intro to Multivariable Calculus
- 5.2 - Gram-Schmidt Process and (a little) QR-Factorization
- Wednesday
- 6.3 - Geometric Meaning of the Determinant & Brief Intro to Multivariable Calculus
- 5.2 - Gram-Schmidt Process and (a little) QR-Factorization
- fourier series app URL
- Brief highlights of chapter 4, section 5.5, and operator theory
  Topics that I hope to touch on include
  Differential operators
  Fourier series
  Quantum Mechanics
  
  Clearly, this list is far too long to do in any detail. This will be (at best) a high level summary of these topics.
- Friday
- LAST DAY OF LECTURE
- Discussion of MCMC revolution paper
May 6 - May 12
May 13 - May 19
- final exam - Fri 5/17 7:00-10:00PM Sci 199 Assignment
- m027_2013sp_review_sheet_exam_final File