Elements of Engineering Mathematics - I

Table of Contents:

Unit-I: Differential Calculus-I
• Successive Differentiation, Expansion of Functions of one Variable
• Asymptotes, Curvature and Curve Tracing
Unit-II: Differential Calculus-II
• Partial Differentiation
• Expansion of Functions of Several Variables and Jacobians
• Applications of Partial Differentiation
Unit-III: Multiple Integrals
• Double Integration and Change of Order of Integration
• Triple Integrals and Applications to Area and Volume
• Beta and Gamma Functions, Dirichlet's Integral
Unit-IV: Vector Calculus
• Vector Differentiation
• Vector Integration
Unit-V: Matrices
• Matrices-Elementary Operations and Rank of a Matrix
• Linear Dependence of Vectors and Consistency of Equations
• Eigen Values, Eigen Vectors, Diagonalising a Matrix and Complex Matrix
• Short Answer Type Questions
• Answers and Hints to Exercises
• Examination Papers
• Index