| Course Name | Calculus and Matrix Algebra |
| Course Code | 15 MAT 111 |
| Program | B. Tech. in Electrical and Electronics Engineering, B. Tech. in Civil Engineering, B. Tech. in Aerospace Engineering, B. Tech. in Mechanical Engineering, B. Tech. in Computer and Communication Engineering |
| Semester | One |
| Year Taught | 2019 |
Calculus
Graphs: Functions and their Graphs. Shifting and Scaling of Graphs.
Limit and Continuity: Limit (One-Sided and Two-Sided) of Functions. Continuous Functions, Discontinuities, Monotonic Functions, Infinite Limits and Limit at Infinity.
Differentiation and its Applications: Derivative of a function, non differentiability, Intermediate Value Property, Mean Value Theorem, Extreme Values of Functions, Monotonic Functions, Concavity and Curve Sketching, Integration: Definite Integrals, The Mean Value Theorem for definite integrals, Fundamental Theorem of Calculus, Integration Techniques.
Matrix Algebra
Review: System of linear Equations, linear independence
Eigen values and Eigen vectors: Definitions and Properties, Positive definite, Negative Definite and Indef inite Matrices, Diagonalization and Orthogonal Diagonalization, Quadratic form, Transformation of Quadratic Form to Principal axes, Symmetric and Skew Symmetric Matrices, Hermitian and Skew Hermitian Matrices and Orthogonal MatricesIterative Methods for the Solution of Linear Systems, Power Method for Eigen Values and Eigen Vectors.
DISCLAIMER: The appearance of external links on this web site does not constitute endorsement by the School of Biotechnology/Amrita Vishwa Vidyapeetham or the information, products or services contained therein. For other than authorized activities, the Amrita Vishwa Vidyapeetham does not exercise any editorial control over the information you may find at these locations. These links are provided consistent with the stated purpose of this web site.
