**DEPARTMENT OF MATHEMATICS**

**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.