Description
Limits, continuity, Derivative, and differentiability (Excluding Trigonometric Functions). Introduction, intuitive Idea of derivative, Limits, Continuity, Differentiability. Exponential and Logarithmic Differentiation, Derivative of a function in a parameter, Second-order derivatives.
Applications of derivatives: Increasing and decreasing functions, Maxima and Minima, Rolle’s Theorem, and Lagrange’s Mean Value Theorem (without proofs, only geometric interpretation, and problems.
Integral Calculus – (Excluding Trigonometric Functions). Integral as an anti-derivative, Integration by substitution, by partial fractions, and by parts.
Probability – Introduction, Random Experiments, Event, Axiomatic Approach to Probability