Introduction to Linear Algebra (Math 301)
Linear algebra from a matrix perspective with applications from the applied sciences. Topics include the algebra of matrices, methods for solving linear systems of equations, eigenvalues and eigenvectors, matrix decompositions, vector spaces, linear transformations, least squares, and numerical techniques. Prerequisites: Math 170, Math 175.
 Basic course information
 Required textbook and other resources
 Lectures
 Homework assignments
 Exams
 Grading policy
Send me an email
Please send me an email at donnacalhoun@boisestate.edu so that I can compile an email list for the class. At the very least, include a subject header that says "Math 301". You may leave the message area blank, if you wish, or send me a short note about what you hope to get out of this course.
Basic course information
Instructor  Prof. Donna Calhoun 
Office  Mathematics 241A 
Time  Wednesday/Friday 9:0010:15 
Place  Interactive Learning Center (ILC) 302 
Office Hours  Wednesday 1:30PM3:30PM, or by appointment 
Prerequesites  Math 175 
Required textbook and other resources
 Introduction to Linear Algebra, Fifth Edition, by Gilbert Strang. Wellesley Cambridge Press, (2016) (required).
 Linear Algebra, by Gilbert Strang. MIT Open CourseWare, (2010) (suggested).
Lectures
We will stick the following schedule as much as possible.
Week #1 (Aug. 22) 
Wednesday 
Introduction to Linear Algebra; Sections 1.1
Friday 
Section 1.2

Week #2 (Aug. 29) 
Wednesday 
Section 1.3 : Matrices
Friday 
Section 2.1 : Vectors and linear equations

Week #3 (Sept. 5) 
Wednesday 
Section 2.2 : The Idea of Elimination
Friday 
Section 2.3 : Elimination using matrices

Week #4 (Sept. 12) 
Wednesday 
Section 2.4 : Rules for matrix operations;
Section 2.5 : Inverse Matrices
Friday 
Section 2.6 : Elimination = Factorization : A = LU

Week #5 (Sept. 19) 
Wednesday 
Section 2.7 : Permutations and Transposes
Friday 
Section 3.1 : Spaces of Vectors

Week #6 (Sept. 26) 
Wednesday 
Section 3.2 : The nullspace of A : Solving Ax=0

Week #7 (Oct. 3) 
Wednesday 
Midterm Review
Friday 
Midterm #1 : Chapters 1,2 and 3.13.3

Week #8 (Oct. 10) 
Wednesday 
Section 3.4 : Independence, Basis and Dimension
Friday 
Section 3.5 :Independence, Basis and dimension

Week #9 (Oct. 17) 
Wednesday 
Section 3.5 : Dimensions of the four subspaces
Friday 
Four Fundamental Subspaces, continued

Week #10 (Oct. 24) 
Wednesday 
Section 4.1 : Orthogonality of the four subspaces
Friday 
Section 4.2 : Projections

Week #11 (Oct. 31) 
Wednesday 
Section 4.3 : Least squares approximations
Friday 
Section 5.1 : Properties of the Determinant

Week #12 (Nov. 7) 
Wednesday 
Review for Midterm #2
Friday 
Midterm #2

Week #13 (Nov. 14) 
Wednesday 
Wednesday 
Friday 

Week #14 (Nov. 28) 
Wednesday 
Friday 

Week #15 (Dec. 5) 
Wednesday 
Friday 

Homework assignments
Homework assignments are due Friday, at the start of class.
Homework #1 
Due Sept. 2

Homework #2 
Due Sept. 9

Homework #3 
Due Sept. 16

Homework #4 
Due Sept. 23

Homework #5 
Due Sept. 30

Homework #6 
Due Oct. 14th

Homework #7 
Due Oct. 21th

Homework #8 
Due Oct. 28th

Homework #9 
Due Nov. 9th

Homework #10 
Due Nov. 18th

Homework #11 
Due Dec. 7th

Exams
We will have two midterms and one final exam
Midterm #1  Date: Friday, October 7 
Midterm #2  Date: Friday, November 11th 
Final  Date: Friday December 16th 10AM  12PM 
You can find the Final Exam calendar here.
Grading policy
Homework will count for 20% of your final grade, quizzes will count towards 20% of your grade, and the two exams and final each be 20% of your final grade. A 90% and above will earn you an A, between 80% and 90% will earn you at least a B, between 70% and 80% will be at least a C, and below 60% will be a D or F. If there is any deviation from this grading policy, it will be to lower the percentages, i.e. you could still earn an A with less than 90%, but you will never need more than 90%. Quizzes will be mostly on the homework, and you will be given plenty of notice (no pop quizzes!).