Calculus: Derivatives with all rules, Trigonometric functions and their derivatives, Definitions,
properties, derivatives of transcendental functions. Hyperbolic and inverse hyperbolic functions.
Application of derivatives: Extreme of functions and Curve sketching, Differentials and linear
Approximation, Chain Rule and Implicit differentiation, Indeterminate forms and L'Hopital's
rule, Derivatives in parametric functions.
Algebra: Definitions and properties of determinant and matrices; System of Linear equations,
Eigen values and Eigenvectors of a matrix with applications, Gauss elimination method. Theory
of nonlinear equations Numerical methods: Iteration methods, Newton's and modified Newton's
method, Secant method
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