Katson Elements of Engineering Mathematics - I

Content

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