MATH 222

Course ID:

Course Code & Number

MATH 222

Course Title

Linear Algebra II

Level

BS

Credit Hours/ ECTS Credits

(3+1+0) 3 TEDU Credits, 7 ECTS Credits

Year of Study:

Sophomore

Semester:

Spring

Type of Course:

Compulsory

Mode of Delivery:

Face-to-face

Language of Instruction:

English

Pre-requisite / Co-requisite::

Catalog Description

Matrix Representations of Linear Transformations. Eigenvalues and Eigenvectors. Diagonalization. Jordan Canonical Forms. Cayley-Hamilton Theorem. Minimal Polynomials. Rational Canonical Forms. Inner Product Spaces. Orthogonalization. Normal and Self-Adjoint Operators. Unitary and Orthogonal Operators. Bilinear and Quadratic Forms.

Course Objectives

This course covers fundamental concepts concerning linear transformations; develop the skills to compute eigenvalues and eigenvectors; creates suitable basis to put linear operator in canonic form; introduce inner product spaces and linear operators on inner product spaces.

Software Usage

Course Learning Outcomes

Upon successful completion of this course, students will be able to:

1. Explain the concept of matrix representations of linear transformations, and identify eigenvalues and eigenvectors,

2. Analyze diagonalizability and diagonalization process,

3. Recognize canonical forms of matrices and their computation techniques,

4. Explain the concepts of inner product spaces and norms, and describe orthogonal and orthonormal bases,

5. Interpret adjoints of linear operators on inner product spaces,

6. Perform basic properties of normal, orthogonal, unitary, and self-adjoint linear operators/matrices.

Learning Activities and Teaching Methods:

Assessment Methods and Criteria:

Assessment Methods and Criteria Others:

Design Content

Recommended Reading

Required Reading

Grading

Learning Activities and Teaching Methods Others:

Course Coordinator:

Dr. Şükran Gül Erdem

Student Workload:

Workload	Hrs

Course & Program Learning Outcome Matching: