Linear Algebra I Syllabus  (Spring 2024)

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Professor: Yoonjin Lee

Text: Linear Algebra by S. Friedberg et al (4th ed.), Pearson 2013

References:
Elementary Linear Algebra by Larson and Edwards, Houghton Mifflin Company
Linear algebra with applications by O. Bretscher, Prentice Hall
Linear algebra by Jim Hefferon (A free linear algebra text in http://joshua.smcvt.edu/linearalgebra/)
Elementary Linear Algebra by Ron Larson (7th ed.), Brooks/Cole Cengage Learning 2013

Course Description:
We learn vector spaces, matrices, linear transformations, systems of linear equations, determinants and so forth. In detail, we learn the basic theory of vector spaces in Chapter 1, and linear transformations and their relationship to matrices in Chapter 2. In Chapter 3 we learn how to solve systems of linear equations by applying the vector space theory and linear transformations, and in Chapter 4 we study determinants. If time permits, we study eigenvalues and eigenvectors and Caley-Hamilton Theorem in Chapter 5.

Course Outline:
Chapter 1. Vector Spaces
Chapter 2. Linear Transformations and Matrices
Chapter 3. Elementary Matrix Operations and Systems of Linear Equations
Chapter 4. Determinants

Grading Scheme: Absolute + Relative
HW Assignment: 10%
Quiz: 10%
Midterm: 35%
Final Exam: 40%
Attendance (class, TA session) and Attitudes: 5%
Presentation: Bonus credit

Schedule of Exams:
Midterm on April 22 (Mon.), 2024
Final on June 12 (Mon.), 2024

Grades and policy:
*  Grading policy: Combination of Absolute scheme and Relative scheme
*  You will be evaluated throughout the whole semester by means of one midterm, a comprehensive final exam, two quizzes and weekly homeworks.
*  Make-up quizzes and exams will NOT be given. NO late homework will be accepted.

Class expectations:
Students are expected to attend all the lectures. You have to spend enough time for reviewing the material on a regular basis. The best way to learn the material is to spend enough time thinking about the homework problems virtually every day as our class progresses. In addition, you are encouraged to discuss the homework assignments with others, but you must write up your own solutions and turn them in individually.