Math 3400: Linear Algebra
MAT 3400-001: MWF, 10:40-11:30, White Hall 116
Office Hours: MW 1-2 or by appointment, SAC 378
MAT 3400-001: MWF, 10:40-11:30, White Hall 116
Office Hours: MW 1-2 or by appointment, SAC 378
Announcements: The first midterm will be Friday February 27
Office Hours: Monday and Wednesday 1-2, SAC 378. Other times by appointment.
Lecture notes: Chapter 1 Notes , Chapter 2 Notes
Detailed list of standards: topics list
Syllabus: here
Textbooks:
Linear Algebra and its Applications by Lay/Lay-Lay-McDonald, any edition
Week 1 (January 12-16): 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 (Jan 19-23): no class Monday, 1.3-1.5. Vectors and vector equations, the matrix equation Ax=b, solution sets of linear systems
Week 3 (Jan 26-30): 1.5 and 1.7. Solution sets of linear systems , linear independence. Homework 1 due and quiz on Monday.
Definitions you should know for the quiz: linear equation, linear system, coefficient, solution, equivalent, row operations, REF, RREF, pivot position/column, basic variable, free variable
Week 4 (Feb 2-6): 1.7 and 1.8. Linear dependence and independence, linear transformations. Homework 2 due and quiz on Monday.
Definitions you should know for the quiz: linear combination, span, the definition of multiplication of a matrix and a column vector, homogeneous, trivial and nontrivial solution
Week 5 (Feb 9-13): 1.8, 1.9, 2.1: linear transformations, the matrix of a linear transformation and properties of functions, matrix operations
Homework 3 due Wednesday. Definitions you should know for the quiz: linear transformation, one-to-one/injective, onto/surjective, bijective
Week 6 (Feb 16-20): 1.9, 2.1, 2.2: Properties of matrices and functions, matrix operations, the inverse of a matrix
Homework 4 due Friday, definitions quiz on Friday
Week 7 (Feb 23-27): 2.2, 2.3, exam: Inverse of a matrix, characterizations of invertible matrices. First midterm on Friday February 27.
SPRING BREAK
Week 8 (March 9-13): 2.8, 2.9: subspaces, basis, column and null space, dimension and rank, the basis theorem
Standard 5 assignment distributed
Week 9 (March 16-20): Chapter 4: introduction to vector spaces and subspaces, relationship to what we already know, Markov chains if time.
Homework 6 due Monday
Week 10 (March 23-27): 5.1 and 5.2: eigenvalues and the characteristic polynomial
Homework 7 due Friday
Week 11 (March 30 and April 1): Second exam
Homework 8 due Wednesday
Tentative exam dates: Friday Feb 27, Wednesday April 1
Homework 1: Problem set due Monday January 26
Homework 2: Problem set due Monday February 2
Homework 3: Problem set due Wednesday February 11
Homework 4: Problem set due Friday February 20
Homework 5: Problem set due Friday February 27
Homework 6: Problem set due Monday March 16
Homework 7: due Friday March 27
Homework 8: due Wednesday April 1