1. Mathematical Logic 1.1 Introduction 1.2 Basic concepts and connections 1.3 Truth tables 1.4 Set theory (Basic Concepts) 1.5 Set 1.6 Venn–diagrams 1.7 Representation and manipulation of finite sets in computer 1.8 Cartesian product 1.9 Mathematical induction 2. Permutations and Combinations 2.1 Permutations and combinations 2.2 Binomial theorem 2.3 Determinants 3. Matrix Algebra and its Applications 3.1 Introduction 3.2 Definition 3.3 Singular and non-singular matrices 3.4 Elementary transformations 3.5 Solution of system of linear equations 4. Limits and Derivatives 4.1 Introduction 4.2 Limit of a function 4.3 Derivative 4.4 Theorems on derivatives 4.5 Application of derivatives (Maxima/Minima) 4.6 Numerical integration, trapezoidal rule,……..
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