Office Hours: Prof. Su is available MONDAYS 46pm,
Prof. Pippenger is available THURSDAYS 35pm.
Each of these times is open to ALL students from any section.
AE Hours: Tuesday, Thursday, Sunday evenings 810pm at the
LAC, Riggs Room
Course content: This course is an introduction to linear
algebra and discrete dynamical systems. Linear algebra is the study of
linear functions of several variables. Matrices and matrix algebra are
used to study and model them. Many realworld phenomena are modeled by
functions of several variables, and it is often interesting and
important to understand the longterm behavior of the "dynamics" of
repeatedly iterating such functions. Discrete dynamical systems is the
study of the dynamics of both linear and nonlinear functions. We will
study the dynamics of linear maps of several variables, as well as the
nonlinear maps of just one variable, whose dynamics are already quite
interesting. You will see connections to calculus (Math 11) as well as
see common themes with your later study of differential equations
(Math 13) and multivariable calculus (Math 14).
Text:
Linear Algebra: A Modern Introduction, 2nd edition by
David Poole (ISBN 0534341748).
Doing the reading will be essential for success in this course.
We will sometimes be assigning homework from sections we have
not yet covered so that you will read ahead.
Homeworks, Exams, and Grading:
Homework (Due date) 
Assignment (* means optional reading or extra credit problems) 
HW #1 (Fri 10/27) 
Introduction to Vectors, The Dot Product
1.2 ( 2, 8, 14, 20, 24, 44 ) 1.3 ( 2, 9 ) 1.4 ( 52* ) You need only follow the "Good Problem" instructions for the specific problem marked "Good Problem", but you should think about good writing for all your homework problems! 
HW #2 (Tue 10/31) 
Matrix Operations, Matrix Algebra

HW #3 (Fri 11/3) 
Systems of Linear Equations

HW #4 (Tue 11/7) 
Inverses and Invertible Matrix Theorem
2.3 ( 2, 8, 10, 15, 18, 26, 36, 43, 46 [Follow Good Problem instructions: Introductions and Conclusions]), 2.4 ( 5, 9 ) In the Good Problem, your intro should explain your strategy of your proof, enabling the reader to follow your arguments easily, and your conclusion should summarize what you did. 
HW #5 (Fri 11/10) 
Subspaces, Linear Transformations
3.5 ( 4, 6, 10, 11, 12 ) In the Good Problem, be sure to show your work and justify all steps. 
HW #6 (Tue 11/14) 
Determinants
3.6 ( 12, 21, 31, 37, 50 ) 
Midterm Feedback! 
We invite your feedback on our teaching and your learning.
Your responses remain anonymous.
Constructive and specific suggestions to improve your
learning experience are more valuable than vague comments.
Thanks! Please use these forms: 
HW #7 (Fri 11/17) 
Eigenvalues, Eigenvectors
4.2 ( 6, 13, 15, 23, 26, 27 ) 4.3 ( 18, 19a, 21 ) p.s. it's a good idea when you're done to check if your answers seem reasonable. Answers to oddnumbered exercises can be found in the back of the book. The AE Tutors will be holding a REVIEW SESSION on THURSDAY evening... watch your email for details. 
TAKEHOME EXAM (due MON 11/20) 
Takehome exams will be handed out Friday in class, due back Monday in class. 
HW #8 (Tue 11/28) 
Discrete Dynamical Systems
This applet http://learn.sdstate.edu/cogswelk/homepage/WebDiagram/WebDiagram.html can be used to do the homework problems. While it doesn't have as many bells and whistles as Discrete Tool (below), it does run on Mac's as well as PC's, and does do graphical analysis. Discrete Tool may be found under the Start Menu in the PC labs, under the folder for ODE Architect. 
HW #9 (due Fri 12/1) 
Discrete Dynamical Systems

HW #9 (due Tue 12/5) 
Discrete Dynamical Systems
There are many websites that discuss bifurcation diagrams and the logistic map, e.g., Mathworld or various course websites. 
HW #9 (due Fri 12/8) 
Discrete Dynamical Systems

We'll be posting HW's a week in advance, so be sure to check the due date to ensure you are doing the correct assignment! 