Linear Algebra & Optimization - MATH ZC234

Semester II 2025-2026

Instructor: Dr. Yasmeen Akhtar, Dr. Gaurav Dwivedi, Dr. B. K. Sharma

IC: Dr. Gaurav Dwivedi

Schedule: Sunday 10:30 AM -12:30 PM 

Course Handout: Available on Taxila.

Lecture: 

18/01/26 - Introduction to Matrices and Vectors, Determinants, Cramer's Rule 

25/01/26 - Gaussian Elimination Method for Solving Linear Systems

01/02/26 - Gauss-Jordan Method, Application in finding the Inverse of a Matrix, Rank of a Matrix, Vector Spaces

08/02/26 - Vector Spaces, Subspaces

15/02/26 - Span, Linear Independence, Basis, and Dimension   

22/02/26 - Row space, Column space, Null space, Linear Transformation

01/03/26 - Eigenvalues, Eigenvectors, and Eigenspace

01/03/26 - 10/03/26:  Quiz 1

08/03/26 - Spectral Theorem, Numerical Linear Algebra: Partial Pivoting 

14/03/26 - Midterm Exam (Regular)

22/03/26 - LU-factorization: Doolittle's Method, Crout's Method, Cholesky's Method, Jacobi Iterative Method

28/03/26 - Midterm Exam (Makeup)

01/04/26 - 10/04/26: Quiz 2

05/04/26 -

12/04/26 -

15/04/26 - 25/04/26: Quiz 3

19/04/26 -

26/04/26 -

03/05/26 -

10/05/26 -

17/05/26 -

23/05/26 - Comprehensive Exam (Regular)

30/05/26 - Comprehensive Exam (Makeup)