Mathematics for IT
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Course Syllabus
- Name of the Course: Mathematics for IT
- LTP structure of the course: 2-2-0
- Objective of the course: This course covers Linear algebra; Matrix theory and probability (discrete & continuous) for information technology. Objective is to give fundamental knowledge to students and application on IT with more emphasis on problem solving.
- Outcome of the course: Students will learn fundamentals and able to apply these knowledge in practical problems.
- Course Plan:
| - | Unit | - | Topics for Coverage |
|---|---|---|---|
| Component 1 | Unit 1 | Linear Algebra | Systems of linear equations; Row reduction and echelon forms; Matrix operations, including inverses; Linear dependence and independence; Subspaces and bases and dimensions; Orthogonal bases and orthogonal projections; Gram-Schmidt process; Projections; Linear models and least-squares problems; Determinants and their properties. |
| Unit 2 | Eigenvalues and eigenvectors; Diagonalization of a matrix; Symmetric matrices; Positive definite matrices; Similar matrices; Linear transformations; Singular Value Decomposition. | ||
| Component 2 | Unit 3 | Probability | Events and Probability Spaces; Conditional Probability; Independence; Random Variables and Distributions; Expectation |
| Unit 4 | Limit Theorems, Deviations; Markov Chains; Random Walks. |
Text Book:
- Strang, Gilbert. Introduction to Linear Algebra.
- Bertsekas, Dimitri, and John Tsitsiklis. Introduction to Probability.
- References:
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Page last updated date:14-11-2024 03:02 PM
