Math 211 - Introduction to Linear Algebra (Spring 2018)

Instructor: Ben McMillan
Email: bmcmillan@math.stonybrook.edu
Locataion: MW 2:00pm--3:50pm in Library E4330

Course Information:

The course syllabus is here. Some critical points:
• The midterm will be in class on Monday, March 5.
• My office hours this term are Mondays and Tuesdays 11:30am--12:30pm in the math tower, office 2-116. I will also be available in the MLC (S-235) on Wednesdays 1:00--2:00pm.

Schedule and Homework:

The following is a tentative schedule for the course. As homework is assigned it will be posted here. You are encouraged to work with others, but please make sure to write up solutions in your own words (this will help you on the exams!).

Unless stated otherwise, the homework is from the corresponding section of the book.

All of the problems assigned in week n are due at the beginning of lecture on the Wednesday of week n+1.

Week Date Topic(s) Covered Reading Homework
1 1/22Linear systems of equationsChapter 1.11, 7, 8, 11, 17, 21
1/24Gauss-Jordan elimination1.21, 2, 5, 18, 22, 30, 31
2 1/29Counts of solutions and matrix algebra1.31, 2, 4, 9, 10, 14
1/31Matrix algebra1.316, 17, 22, 30, 34, 55
3 2/5Linear transformations2.11, 2, 3, 5, 6, 33, 42
2/7Linear geometry2.23, 16, 29, 33, 53
4 2/12Linear composition is matrix multiplication2.31, 2, 10, 11, 13, 40, 65
2/14Linear inverses2.416, 18, 21, 23, 41
5 2/19Linear inverses continued2.42, 3, 5, 34, 43, 82, 83
2/21Image and kernel of linear functions3.11, 4, 14, 17, 19, 25, 49
6 2/26(Im and Ker are) linear subspaces3.1
3.2
32, 34, 40, 44
1, 2, 3, 5
2/28.ReviewReview
7 3/5.MidtermReview sheet here.
3/7Snow Day..
8 3/12Spring Break!..
3/14Spring Break!..
9 3/19Linear (in)dependence3.28, 15, 16, 21, 22, 34, 36, 37, 39, 50
3/21Snow Day..
10 3/26Basis and dimension3.2
3.3
27, 29, 43
1, 3, 9, 29, 62, 67
3/28The Rank-Nullity Theorem3.322, 27, 31, 33, 34, 37
11 4/2Linear coordinates3.41, 3, 4, 6, 15, 16, 50
4/4Linear maps using coordinates3.425, 27, 30, 33, 37, 43
12 4/9Abstract Vector Spaces4.11, 2, 7, 9, 16, 20, 25, 47, 48
4/11Linear Isomorphisms4.21, 2, 3, 4, 7, 9, 42, 60
13 4/16Linear map + a basis gives a matrix4.35, 6, 13, 14, 20, 41, 44, 48, 60
4/18The determinant6.15, 7, 9, 10, 15, 23, 28, 39, 43
14 4/23Properties of the determinant6.21, 3, 7, 11, 13, 15, 21, 38, 48, 55
4/25Eigenvectors7.1
7.3
1, 4, 19, 23
1, 4, 16, 34
15 4/30Geometry, eigenvalues and the determinant.None
5/2Review.Review Sheet
16 5/9 Final Exam Engineering 143, 8:00am - 10:45am