Course Description
Linear algebra is a fundamental area of mathematics that studies systems of linear equations and
the properties of matrices. It has become an indispensable tool in many branches of science, from
pure mathematics to engineering and economics. This course introduces students to the basic
concepts and theorems of linear algebra, including:
• Systems of linear equations and their solutions
• Determinants
• Vector spaces
• Eigenvalues and eigenvectors
• Diagonalization
• Orthogonality and least squares
Students will develop both theoretical understanding and practical skills in applying these concepts
to real-world problems.
Target Audience
This course is designed for students from a wide range of majors who wish to employ basic linear
algebra theories in their research areas. This includes, but is not limited to, students from:
• Life sciences
• Economics
• Humanities

• Engineering
• Physics
• Mathematics
No prerequisites are required for this course, making it accessible to students from diverse
academic backgrounds.
Course Objectives
Upon successful completion of this course, students will be able to:
1. Formulate and solve systems of linear equations
2. Perform matrix operations and understand their applications in various scientific fields
3. Comprehend fundamental concepts of vector spaces and their properties
4. Calculate eigenvalues and eigenvectors of a matrix and understand their significance
5. Apply linear transformations to solve problems in multiple disciplines
6. Utilize orthogonality principles and least squares methods for data fitting and
approximation
Learning Outcomes
By the end of the course, students will have:
• Developed critical thinking skills in mathematical problem-solving
• Gained proficiency in using linear algebra software tools
• Acquired the ability to interpret and communicate mathematical results in context
Built a strong foundation for advanced courses in mathematics, science, and engineering