**DEPARTMENT OF MATHEMATICS**

**Linear Algebra II Syllabus (Fall 2024)**

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**Professor: **Yoonjin Lee

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

**Course requirements: ** Linear Algebra I

**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 assume that students took Linear Algebra 1 course so that they have
some background on vector spaces, matrices, linear transformations, systems
of linear equations, determinants and so forth. In this second course of Linear Algebra
we learn Diagonalization of linear operators and Caley-Hamilton Theorem in Chapter 5.
We also study interesting properties of Inner Product Spaces such as the Gram-Schmidt orthogonalization process, normal operators, orthgonal operators, and so on in Chapter 6. Furthermore, we learn the Jordan Canonical Forms in Chapter 7.

**Course Outline:**

Chapter 5. Diagonalization

Chapter 6. Innerproduct Spaces

Chapter 7. Canonical forms

**Grading Scheme:** Combination of Absolute and Relative

HW Assignment: 10%

Quiz: 10%

Midterm: 35%

Final Exam: 40%

Attendance (class, TA session) and Attitude: 5%

Presentation: Bonus credit

**Schedule of Exams:**

Midterm Exam on **October 21** (Mon.), 2024

Final Exam on **December 11 ** (Wed.), 2024

**Video classes: Sep. 16(Mon.), Sep. 18(Wed.), Oct. 9(Wed.)**

**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.