Syllabus Application
MATH 201
Linear Algebra
Faculty
Faculty of Engineering and Natural Sciences
Semester
Fall 2026-2027
Course
MATH 201 -
Linear Algebra
Time/Place
Time
Week Day
Place
Date
12:40-14:30
Mon
SBS-G071
Sep 28-Dec 31, 2026
16:40-17:30
Tue
SBS-G071
Sep 28-Dec 31, 2026
Level of course
Undergraduate
Course Credits
SU Credit:3, ECTS:6, Basic:6
Prerequisites
-
Corequisites
MATH 201R
Course Type
Lecture
Instructor(s) Information
Nurdagül Anbar Meidl
- Email: nanbar@sabanciuniv.edu
Course Information
Catalog Course Description
Systems of linear equations; Gaussian elimination. Vector spaces, subspaces, linear, independence, dimension, change of basic. Linear transformations. Inner product, orthogonality. Eigenvalues. Diagonalization and canonical forms. Cayley-Hamilton theorem.
Learning Outcomes:
| 1. | Understand the notion of mathematical thinking, mathematical proofs, and able to apply them in problem solving. |
|---|---|
| 2. | Present simple proofs in a precise and formally correct way. |
| 3. | Solve a system of linear equations using matrix reduction |
| 4. | Do basic arithmetical operations with matrices. |
| 5. | Understand the notions of linear independence, basis and dimension of a vector space. |
| 6. | Find a basis and dimension of Euclidean or abstract vector spaces. |
| 7. | Geometrically interpret the above concepts. |
| 8. | Represent linear transformations as matrices and, conversely, interpret matrices as linear maps. |
| 9. | Compute determinant of square matrices and understand the properties of determinant. |
| 10. | Compute eigenvalues and eigenspaces of matrices. |
| 11. | Identify whether a matrix is diagonalizable or not. |
Course Objective
This course aims to introduce basic concepts of linear algebra such as vector spaces, bases, linear transformations, eigenvalues and eigenspaces. The course gives students training to develop their mathematical skills, analytical and critical thinking abilities, their ability to apply these capabilities to practical problems, and to communicate their knowledge of these areas.
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Course Materials
Resources:
- Strang, G., Introduction to Linear Algebra, 5th edition, Wellesley-Cambridge Press, 2016.
- Axler, A., Linear Algebra Done Right, Springer.
- Leon, S. J., Linear Algebra with Applications, Prentice Hall.
- Bretscher O., Linear Algebra with Applications, 2nd Edition, Prentice-Hall, 2001.
- Poole, D., Linear Algebra: A Modern Introduction, 3rd Edition, Brooks Cole, 2011.
- Friedberg, S., Insel, A., Spence, L., Linear Algebra, 4th edition, Pearson, 2013.
- Axler, A., Linear Algebra Done Right, Springer.
- Leon, S. J., Linear Algebra with Applications, Prentice Hall.
- Bretscher O., Linear Algebra with Applications, 2nd Edition, Prentice-Hall, 2001.
- Poole, D., Linear Algebra: A Modern Introduction, 3rd Edition, Brooks Cole, 2011.
- Friedberg, S., Insel, A., Spence, L., Linear Algebra, 4th edition, Pearson, 2013.