Linear Algebra

Course Syllabus

**Course:** Math 20F

**Title:** Linear Algebra

**Credit Hours:** 4 (Credit not offered for both Math 20F and Math 31AH)

**Prerequisite:** Math 20C with a grade of C- or better.

**Catalog Description:** Matrix algebra, Gaussian elimination, determinants, Linear and affine subspaces, bases of Euclidean spaces. Eigenvalues and eigenvectors, quadratic forms, orthogonal matrices, diagonalization of symmetric matrices. Applications. Computing symbolic and graphical solutions using Matlab.

**Textbook:** *Linear Algebra and Its Applications*, 3rd edition, by David C. Lay;
published by Pearson (Addison Wesley)

**Subject Material:** We shall cover parts of chapters 1-7 of the text.

**Lecture:** Attending the lecture is a fundamental part of the course; you are
responsible for material presented in the lecture *whether or not it is discussed in the
textbook.* You should expect questions on the exams that will test your understanding of
concepts discussed in the lecture.

**Reading:** Reading the sections of the textbook corresponding to the assigned
homework exercises is considered part of the homework assignment; you are responsible for material
in the assigned reading *whether or not it is discussed in the lecture.*

**Homework:** Homework will be assigned on the course
homework page and will be collected in your section on the indicated due date. **Late homework will not be accepted, but in case you have to miss one homework assignment, your lowest homework score will be dropped.** It is allowed and even encouraged to discuss homework problems with your classmates and your TA's, but your final write up of your homework solutions must be your own work.

**MATLAB:** In applications of linear algebra, the theoretical concepts that you will learn in lecture are used together with computers to solve large scale problems. Thus, in addition to your written homework, you will be required to do homework using the computer language MATLAB. The webpage
www.math.ucsd.edu/~math20f contains all information relevant to the MATLAB
component of Math 20F. You can do the homework on any campus computer that has MATLAB. Questions regarding the MATLAB
assignments should
be directed to the TAs. Tutors will be available in B432 of APM. Assignments are to be handed in on the 6^{th}
floor of AP&M drop boxes. There will be a MATLAB quiz given at the end of the quarter.

**Midterm Exams:** There will be two midterm exams given
during the quarter: Test #1 Friday October 15 in class and Test #2
Wednesday November 10 in class (see the
course calendar). **No calculators
**will be allowed during the midterm exams.
**There will be no makeup exams.**

**Final Exam:** 12/08/2010 W 08:00am - 10:59am (See the
course calendar.) **No
calculators** will be allowed during the final examination.

**Regrades:** Quizzes and midterm exams will be returned in the discussion sections. If you notice an error in the way your exam was graded, *you must return it immediately to your TA*. Regrade requests will
not be considered once the exam leaves the room. If you do not retrieve your exam during
discussion section, you must arrange to pick it up from your TA within one week after it was returned in
order for any regrade request to be considered.

**Grading:** Your course grade will be determined by your cumulative average at the end of
the term and will be based on the following scale:

A+ |
A |
A- |
B+ |
B |
B- |
C+ |
C |
C- |
D |

97 |
93 |
90 |
87 |
83 |
80 |
77 |
73 |
70 |
60 |

**Note:**The above scale may be adjusted based on the class' cumulative averages.

- 10% MATLAB (5% homework and 5% quiz), 10% Homework, 20% Midterm Exam I, 20% Midterm Exam II, 40% Final Exam
- 10%MATLAB (5% homework and 5% quiz), 10% Homework, 20% Best Midterm Exam, 60% Final Exam

**Academic Dishonesty:** Academic dishonesty is considered a serious offense at
UCSD. Students caught cheating will face an administrative sanction which may include suspension
or expulsion from the university.

Department of Mathematics | Math 20F |