Linear Algebra Teaching Assistant

Teaching Role #

Teaching Assistant for Linear Algebra course under Professors Dr. Ramin Javad and Dr. Bijan Taeri at Isfahan University of Technology.

Core Responsibilities #

• Python Implementation: Helped students implement linear algebra concepts using Python
• Assignment Design: Created and scored comprehensive linear algebra theory assignments
• Practical Application: Bridged theoretical concepts with computational implementation
• Student Guidance: Provided support for both mathematical theory and programming aspects

Technical Integration #

• NumPy and Scientific Computing: Taught students to use NumPy for matrix operations
• Mathematical Programming: Demonstrated computational approaches to linear algebra problems
• Visualization Tools: Used matplotlib and other tools to visualize mathematical concepts
• Algorithm Implementation: Guided students in implementing linear algebra algorithms from scratch

Educational Contributions #

• Theory-Practice Bridge: Connected abstract mathematical concepts with concrete implementations
• Programming Skills: Enhanced students' scientific computing capabilities
• Problem Solving: Developed computational thinking for mathematical problems
• Assignment Innovation: Created engaging assignments combining theory and practice

Topics Covered #

• Matrix Operations: Addition, multiplication, determinants, and inverse calculations
• Vector Spaces: Linear independence, basis, and dimension concepts
• Eigenvalues and Eigenvectors: Computational methods and applications
• Linear Transformations: Matrix representations and geometric interpretations
• Systems of Linear Equations: Gaussian elimination and computational solutions

Student Development #

• Improved computational mathematical skills
• Enhanced programming proficiency in scientific computing
• Better understanding of practical applications of linear algebra
• Preparation for advanced courses requiring mathematical programming

Teaching Innovations #

• Interactive Jupyter notebook exercises
• Real-world applications and examples
• Collaborative coding sessions
• Visual demonstrations of mathematical concepts