Math 3400: Linear Algebra
Resources
Announcements: Probable date of first exam: September 17
Second exam will be October 8 and will cover standards 4, 6, and 8 (as well as 1-3)
The third exam will be held November 17 and/or 19
Standards 5 and 9 will be done via assignment: Standard 5 and Standard 9
The third exam will be held November 17 and will cover standards 7, 10, 11
Standard 15 will be done via assignment: Standard 15
Office Hours: Monday and Wednesday 12:30-2:30 in SAC 378
Virtual spaces: Gathertown or Zoom office hours in room 914 3056 6288
Lecture notes: Chapter 1 notes , Chapter 2 notes , Chapter 4 notes , Chapter 5 notes (notes on determinants so that the characteristic polynomial makes sense), Chapter 6 notes
Detailed list of standards: topics list
Syllabus: Section 001 Section 002
Textbooks:
Linear Algebra and its Applications by Lay/Lay-Lay-McDonald, any edition
Course Schedule
Week 1 (August 23-27): 1.1-1.3. Systems of equations and their connection to matrices. Solving a system of equations. Row reduction and echelon forms. Vector and matrix equations
Week 2 (Aug 30 - Sept 3): 1.3-1.5. Vectors and vector equations, the matrix equation Ax=b, solution sets of linear systems
Week 3 (Sept 8-10): 1.5 and 1.7. Solution sets of linear systems , linear independence
Week 4 (Sept 13-17): homework review, 1.8 (Intro to linear transformations), first exam
Week 5 (Sept 20-24): 1.8, 1.9, 2.1: linear transformations, the matrix of a linear transformation and properties of functions, matrix operations
Week 6 (Sept 27-Oct 1): 1.9, 2.1, 2.2: Properties of matrices and functions, matrix operations, the inverse of a matrix
Week 7 (Oct 4-8): 2.2, 2.3, exam: Inverse of a matrix, characterizations of invertible matrices, exam 2
Fall Break!
Week 8 (Oct 18-22): 2.3, 2.8: recap of invertible matrices, elementary matrices, computing the inverse of a matrix, subspaces, basis
Week 9 (Oct 25-29): 2.8, 2.9: bases of column and null space, dimension and rank, the basis theorem
Week 10 (Nov 1-5): Chapter 4: introduction to vector spaces and subspaces, relationship to what we already know, Markov chains
Week 11 (Nov 8-12): 5.1 and 5.2: eigenvalues and the characteristic polynomial
Week 12 (Nov 15-19): The characteristic polynomial and diagonalization, Exam 3, Google's pagerank
Week 13 (Nov 22): Adjacency matrices of graphs, Thanksgiving break!
Week 14 (Nov 29-Dec 3): 6.1-6.3: Inner products and orthogonality, orthogonal sets, projections
Week 15 (Dec 6-10): 6.4, 6.5: Gram-Schmidt, least-squares
Homework
Homework 1 (due Friday Sept 3)
Homework 2 (due Friday Sept 10)
Homework 3 (due Friday Sept 24)
Homework 4 (due October 1)
Homework 5 (due October 22)
Homework 6 (due October 29)
Homework 7 (due November 10)
Homework 8 (due November 22)
Homework 9 (due reading day December 10)