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MAT 322c

MAT 322: Linear Algebra II, taught by Dr. Mahmud Ibrahim, focuses on advanced algebraic methods and quantitative techniques involving vectors and matrices. The course includes two quizzes and an end-of-semester examination, with specific weightings for assessments. Key topics covered include vector spaces, linear transformations, and quadratic forms.

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75 views1 page

MAT 322c

MAT 322: Linear Algebra II, taught by Dr. Mahmud Ibrahim, focuses on advanced algebraic methods and quantitative techniques involving vectors and matrices. The course includes two quizzes and an end-of-semester examination, with specific weightings for assessments. Key topics covered include vector spaces, linear transformations, and quadratic forms.

Uploaded by

Ollo
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as DOCX, PDF, TXT or read online on Scribd
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MAT 322: LINEAR ALGEBRA II

Lecturer: Dr. Mahmud Ibrahim

References: 1. Kolman, B. and Hill, D. R. (2008). Introductory Linear Algebra: An


Applied First Course; 8th Ed., Pearson Prentice Hall, Upper Saddle
River, USA

2. Cheney, W. and Kincaid, D. (2009). Linear Algebra: Theory and


Applications; Jones and Bartlett Pub., Boston, USA

3. MAT 321: Linear Algebra I Lecture Notes

Quiz Policy: First Quiz – June, 3


Second Quiz – June 24

Venue: NEC
Time: 4:00 pm – 5:00 pm

Assessment: It will comprise two tests that carry 40%, and an End-of-Semester
Examination that carries 60% of the total marks.

Objectives
1. To enable students acquire skills in algebraic methods needed to understand real-
world problems.
2. To train students in quantitative techniques involving vectors and matrices.

Course Outline

1. Vector Spaces and Subspaces


2. Linear Combinations and Spanning sets
3. Sum and Intersection of Subspaces
4. Linear Independence
5. Basis and Dimension
6. Linear Transformations
7. The Kernel and Range of a Linear Transformation
8. One-to-One, Onto and Bijective Transformations
9. Isomorphism of Vector Spaces
10. The Matrix of a Linear Transformation
11. Quadratic Forms
12. Positive Definite Forms
13. Linear Independence of Functions

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