Engineering Mathematics for first year B.E./B.Tech. covers the new syllabi of all Anna Universities,Deemed Universities and Autonomous Colleges.
Table of Contents I. Matrices (Unit I)- Vector Spaces
- Characteristic Roots and Characteristic Vectors
- Quadratic Forms
II Differential Calculus. (Unit I) - Curvature
- Evolutes, Involutes and Envelopes
- Jacobians
- Maxima and Minima of a Function of two Variables
- Differentiation under the Integral Sign
III. Ordinary Differential Equations (Unit II) - Linear Equations of Second and Higher Order
- Simultaneous Equations
- Euler's Homogeneous Linear Differential Equations
- Method of Variation of Parameters
- Method of Reduction of Order of Linear Second Order
- Differential Equations with Variable Coefficients
- Modeling : Applications of Ordinary Linear Differential
- Equations
IV. Multiple Integrals (Unit III) - Multiple Integrals
- The Gamma and Beta Functions
V. Vector Calculus (Unit III) - Differentiation of Vectors
- Gradient, divergence and Curl
- Integration of Vectors
- Orthogonal Curvilinear Coordinates
VI. Complex Variables (Unit IV) - Introduction
- Analytical functions
- Mapping
- Complex Integration
VII. Laplace Transforms (Unit V) VIII. Three Dimensional Analytical Geometry - The Plane and the Straight line
- The Sphere
- The Cone
- The Cylinder
