MAT 313:Elements of Linear Algebra
4 hours, 4 credits. Vector spaces, systems of linear equations, determinants, linear transformations, and matrices. PREREQ: MAT 176. With Departmental permission, MAT 176 may be taken as a COREQ.
Location: Gi 225 TTH 9:00- 10:40 PM
Instructor: Robert Schneider
Contact Info:
Grading Policy:
Grading Policy:
- Homework tests (20 minutes) 20%
- Midterm - 30 %
- Final: 40%
- Homework- 10%- no late hw
- extra credit will be given for various projects and exceptional class comments
Course Objectives:
- understand fundamental theorems and assumptions underlying linear algebra
- prove some of the fundamental theorems
- apply appropriate theorems from linear algebra to a problem
Math Major Outcomes incorporated into MAT313:A. Perform numeric and symbolic computations
C. Model real-life problems mathematically
E. State and apply mathematical definitions and theorems
G. Construct and present a rigorous mathematical argument
Materials and Resources:
- textbook: download free online book at http://joshua.smcvt.edu/linearalgebra/#license
- you can buy a printed version at amazon-- Linear Algebra by Jim Hefferon
- you should download the answers to all of the exercises
Course Calendar:
We will try to cover a good part of Ch1-4 of the book and also some of the concepts of eigenvalues. We will give references to applications. Students can do projects explaining these applications for extra credit.
- Section 1.1- Intro and Solving Linear Systems
- Gauss method - 1.1
- Geometric Picture
- Matrix Representation
- Homework due Sep 1
- get book
- page 9: 1.17 thru 1.20,1.23,1.25
- pdf of maple examples that give geometry for solution sets of equations
- Section 1.2 Describing the Solution Set
- Homework due September 13
- 2.15,2.16,2.17,2.18,2.19,2.21
- v dot (w+z)= v dot w +v dot z ( here dot is the dot product and v,w,z are vectors in n space
- v+(w+z) = (v+w) + z in n space
- Section 1.3 - General = Particular + Homogeneous
- Homework due September 20; page 32
- 3.14,3.15,3.16,3.17,3.18,3.20
- Section 2.1 canonical vectors and lines and planes; Section 2.2 Length of vectors , dot product Cauchy Schwarz, perpendicularity
- HW due Sep 29
- p41 1.1 a,d; 1.2a,1.3,1.4,1.5
- p47 2.11 d,e;2.12b;2.14,2.15,2.16,2.22
- p54 1.8;1.9a;1.12d,1.13,1.14
- HW quiz Sep 29
Final Exam: The Final Exam will be given during Finals Week
Department of Mathematics and Computer Science, Lehman College, City University of New York