Linear algebra is the study of vector spaces and linear transformations. The main objective of this course is to help students learn in rigorous manner, the tools and methods essential for studying the solution spaces of problems in mathematics, engineering, the natural sciences, and social sciences and develop mathematical skills needed to apply these to the problems arising within their field of study; and to various real-world problems.
To succeed in this course you will need to be comfortable with vectors, matrices, and n-dimensional coordinate systems.
At the end of this course the student will be able to:
- Solve linear systems of equations
- Comprehend vector spaces, subspaces and inner product spaces
- Understand fundamental properties of matrices including determinants, inverse matrices, matrix factorizations, eigenvalues, orthogonality and diagonalization
- Have an insight into the applicability of linear algebra
- Critically analyze and construct mathematical arguments that relate to the study of introductory linear algebra.
- Dimension of vector spaces
- Quotient spaces
- Change of bases
- LInear Transformation and matrices
- inner product spaces
- eigen values and eigen vectors
- Gramm Schmidt Process, Orthogonal and Orthonormal matrices
- Dual Spaces
- Introduction to Linear Algebra by Gilbert Strang, Wellesley Cambridge Press; 4th Edition (February 10, 2009).
- Elementary Linear Algebra with Applications by Bernard Kolman, David Hill, 9th Edition, Prentice Hall PTR, 2007.
- Linear Algebra And Its Applications by Gilbert Strang, Strang, Brett Coonley, Andrew Bulman-Fleming, 4th Edition, 2005.
- Elementary Linear Algebra: Applications Version by Howard Anton, Chris Rorres, 9th Edition, Wiley, 2005.
- Linear Algebra and Its Applications by David C. Lay, 2nd Edition, Addison-Wesley, 2000.
- Linear Algebra by Harold M. Edwards, Birkhäuser; 1st Edition, 2004.
- Linear Algebra: A Modern Introduction by David Poole by Brooks Cole, 3rd Edition.
- Linear Algebra by David Cherney, Tom Denton, Rohit Thomas and Andrew Waldron.
- Linear Algebra and Its Applications by David C Lay and Steven R Lay.
- Schaum’s Outline of Theory and Problem of Linear Algebra. Seymour Lipschutz. Mc-Graw Hill.
Sessional: 20 (Presentation / Assignment 10, Attendance 05, Quiz 05)
Mid-Term Exam: 30
Final-Term Exam: 50
Key Dates and Time of Class Meeting
Wednesday 09:00 am - 10:00 am
Thursday 09:00 am - 10:00 am
Friday 09:00 am- 10:00 am
Commencement of Classes Feb 22, 2021
Mid Term Examination December 19-23, 2021
Final Term Examination June 21-25, 2021
Declaration of Result July 02, 2021