Spring 2008
Lecture:Tuesday and Thursdays 12:50-2:10 in Earth&Space 079
Final Exam: Thur. May 15, 11:00AM- 1:30 PM
Prerequisites/Corequisites: at least one semester of calculus.
Academic Calendar
Instructor: Myong-hi Nina Kim
Office: Math Building 3-109:
Office Hours: Tuesday 2:45-4:15, Wednesday 9:30-10:30
Contact : Best way to contact me is via email.
Email: myonghi@math.sunysb.edu
Phone: 632-8255:
You are always welcome to contact me by email (myonghi@math.sunysb.edu)
Grader: Zhiyu Tian
Grader's Office Hours : Monday 1:30-3:30 at Math Tower S240 C. It is located next to the Math learning Center.
Textbook:
Bretscher, Linear Algebra with Applications, 3rd Ed., Pearson/Prentice-Hall
(two copies are available on reserve in the Math/Physics/Astronomy Library)
Link to an on line tutorial on Linear Algebra by Avi Goldman. It is worth looking at this from time to time since it contains useful outside links and notes on the topics of the course.
Click here for a link to the CURRENT HOMEWORK. This page also contains links to solutions.
Prerequisites/Corequisites: at least one semester of calculus
The Nature Of The Course:
This course is an introduction to the theory which has developed around the solution of systems of linear equations. The importance of this theory as a tool in the social, natural, and mathematical sciences cannot be overestimated. (To get some idea of why this is the case, click here, check out the links of interest below, or take a look through your textbook.) You should keep this in mind throughout the semester, especially if the course material ever seems "too weird" or "too abstract" to be useful.
Course Format:
You will get most out of the classes if you prepare beforehand by reading the relevant section in the textbook before class. I am always glad to answer questions during class. Since this class has no recitations, I will aim to set aside some class time each week for doing examples and discussing the homework. If you have more questions, please talk to me after class or come to my office hours (or go to the Math Learning Center in Math Building S-240A.) There will be a review session before each exam, to be scheduled later.
Some links of interest
A nice expository paper on the use of linear algebra in search engines.
A useful online linear algebra text with many worked examples and exercises with solutions.
Examinations:
If you miss an exam for an acceptable reason and provide me with an acceptable written excuse, the relevant exam will be dropped in computing your course grade. A letter stating that you were seen by a doctor or other medical personnel is not an acceptable document. An acceptable document should state that it was reasonable/proper for you to seek medical attention and medically necessary for you to miss the exam (for privacy reasons the note/letter need not state anything beyond this point).
Grading:
Your raw grade will be based on your examination performance and homework, weighted as follows:
Exam I |
20% |
Exam II |
20% |
Final Exam |
40% |
Homework |
20% |
DSS advisory:
If you have a physical, psychological,
medical, or learning disability that may affect your course work,
please contact Disability Support Services (DSS) office: ECC
(Educational Communications Center) Building, room 128, telephone
(631) 632-6748/TDD. DSS will determine with you what accommodations
are necessary and appropriate. Arrangements should be made early in
the semester (before the first exam) so that your needs can be
accommodated. All information and documentation of disability is
confidential. Students requiring emergency evacuation are encouraged
to discuss their needs with their professors and DSS. For procedures
and information, go to the following web site
http://www.ehs.sunysb.edu/
and search Fire safety and Evacuation and Disabilities.
Schedule (tentative): The following is
the basic syllabus. Please read the relevant parts of the book before
class.
Day of |
Homework due |
Sections Covered |
January 29 |
|
1.1 Introduction to Linear Systems |
January 31 |
Half Homework 1 |
1.2 (Matrices, Vectors, and Gauss-Jordan Elimination) |
February 5 |
Half Homework 1 |
1.3 (On the Solutions of Linear Systems; Matrix Algebra) |
February 7 |
|
2.1 (Introduction to Linear Transformations And Their Inverses) |
February 12 |
Homework 2 |
2.2 (Linear Transformations in Geometry) |
February 14 |
|
2.3 (The Inverse of a Linear Transformation) |
February 19 |
Homework 3 |
2.4 (Matrix Products) |
February 21 |
|
3.1 (Image and Kernel of a Linear Transformation) |
February 26 |
Homework 4 |
3.2 (Subspaces of R^n; Bases and Linear Independence) |
February 28 |
|
3.3 (The Dimension of a Subspace of R^n) |
March 4 |
Homework 5 |
3.4 (Coordinates); Review |
March 6 |
|
Exam I (on everything from 1.1 up to and including 3.3) |
March 11 |
Half Homework 6 |
4.1 (Introduction to Linear Spaces) |
March 13 |
|
4.2 (Linear Transformations and Isomorphisms) |
March 18 |
|
Spring Recess |
March 20 |
|
Spring Recess |
March 25 |
Homework 7 |
4.3 (The Matrix of a Linear Transformation) |
March 27 |
|
5.1 (Orthogonal Projections and Orthonormal Bases) |
April 1 |
Homework 8 |
5.2 (Gram-Schmidt Process and QR Factorization) |
April 3 |
|
5.3 (Orthogonal Transformations and Orthogonal Matrices) |
April 8 |
Homework 9 |
5.5 (Inner Product Spaces) |
April 10 |
|
Exam II (on everything from 3.4 up to and including 5.3) |
April 15 |
Half Homework 10 |
6.1 (Introduction to Determinants) |
April 17 |
|
6.2 (Properties of the Determinant) |
April 22 |
Homework 11 |
6.3 (Geometrical Interpretations of the Determinant; Cramer's Rule) |
April 24 |
|
Ch 7.1: Dynamical systems and eigenvectors |
April 29 |
Homework 12 |
7.2 (Finding the Eigenvalues of a Matrix) |
May 1 |
|
7.3 (Finding the Eigenvectors of a Matrix) |
May 6 |
Homework 13 |
7.4 (Diagonalization) |
May 8 |
|
Review |
May 13 |
Homework 14 |
|
May 15 |
|
Final Exam (Cumulative) |
|
|
|