M254 LINEAR ALGEBRA

SYLLABUS

POLICIES

ASSIGNMENTS


          M254 Linear Algebra / Syllabus

TA/Grader: Trevor Hawkins
Office Hours: T TH 1PM - 2PM in GMCS 528
email: trevor.p.hawkins AT gmail.com

Instructor's Office Hours: MW 2:30PM - 3:30PM in GMCS 589
e-mail: palacios AT euler.sdsu.edu

Textbook
Linear Algebra with Applications
Author: O. Bretscher
Publisher: Pearson, Prentice Hall

Cell Phones: Please turn off your cell phones during class. NO TEXTING.

Prerequisite: M151. Please present proof of completion (copy of unofficial
transcripts would suffice) by Wednesday, January 28, 2015. Failure to
to show proof of prerequisite will result in being dropped from class.

Course Outline

  1. Linear Equations
    • Introduction
    • Linear Systems
    • Gauss-Jordan Elimination
    • Matrix Algebra
  2. Linear Transformations
    • Goemetry of Linear Transformations
    • Matrix Products
    • Inverse of a Linear Transformation
  3. Vector Subspaces
    • Image and Kernel
    • Bases and Linear Independence
    • Dimension of a Subspace
    • Coordinates
  1. Linear Spaces
    • Introduction
    • Isomorphisms
    • Matrix Representation
  2. Orthogonality
    • Orthogonal Projections
    • Gram-Schmidt Process
    • Inner Product Spaces
  3. Determinants
    • Properties
    • Geometrical Interpretation
  4. Eigenvalues/Eigenvectors
    • Dynamical Systems
    • Finding Eigenvalues/Eigenvectors
    • Diagonalization


 


References

 
[1] MATLAB Tutorial: http://www.math.mtu.edu/~msgocken/intro/intro.html
 
[2] ODE Software for MATLAB
   

 


Grading
Homework and Quizzes
20 %
2 Midterm Exams
50 %
Final Exam
30 %

 

Grading Scale
A -- (minus)
90% and above
B -- (minus)
80% and above
C -- (minus)
65% and above
D -- (minus) 55% and above

 

 

 



  • Exams, Homework, and Quizzes are considered individual work. Copying someone else work is considered cheating and will be penalized.
  • Quizzes may or may not be announced. If a quiz is given at the beginning of class and you are late, you will not be able to take this quiz earlier.If a quiz is given at the end of the hour, you will not be able to take this quiz earlier



Important Dates

Withdrawal (fees refunded) Day: February 3
Last Day of Classes May 7



Milk Splash