Mathematics

Dynamics: Motion of particle in a straight line, Motion with uniform acceleration, motion under the gravity, motion down a smooth inclined plane. Also Visit: Connect With us in Social Media: Notes By: Manish Joshi

Statics: Forces and resultant forces, parallelogram law of forces, composition and resolution of forces, Resultant of coplanar forces acting on a point. Also Visit: Connect With us in Social Media: Notes By: Manish Joshi

Numerical integration: Trapezoidal rule and Simpson’s rule Also Visit: Connect With us in Social Media: Notes By: Manish Joshi

Numerical computation: Roots of algebraic and transcendental equation (bisection and Newton-Raphson method) Also Visit: Connect With us in Social Media: Notes By: Manish Joshi

Anti-derivatives: Integration using basic integrals, integration by substitution and by parts methods, the definite integral, the definite integral as an area under the given curve, area between two curves Also Visit: Connect With us in Social Media: Notes By: Manish Joshi

Application of Derivatives: Derivative of a function, derivatives of algebraic, trigonometric, inverse of trigonometric, exponential and logarithmic functions by definition (simple forms), rules of differentiation. derivatives of parametric and implicit functions, higher order derivatives, geometric interpretation of derivative, monotonicity of a function, interval of monotonicity, extreme values of a function, concavity, points of inflection. Also Visit: Connect With us in Social Media: Notes By: Manish Joshi

Derivatives: Derivative of a function, derivatives of algebraic, trigonometric, inverse of trigonometric, exponential and logarithmic functions by definition (simple forms), rules of differentiation. derivatives of parametric and implicit functions, higher order derivatives, geometric interpretation of derivative, monotonicity of a function, interval of monotonicity, extreme values of a function, concavity, points of inflection. Also Visit: Connect With us in Social Media: Notes By: Manish Joshi

Limits and continuity: Limits of a function, indeterminate forms. algebraic properties of limits (without proof), Basic theorems on limits of algebraic, trigonometric, exponential and logarithmic functions, continuity of a function, types of discontinuity, graphs of discontinuous function. Also Visit: Connect With us in Social Media: Notes By: Manish Joshi

Probability: Independent cases, mathematical and empirical definition of probability, two basic laws of probability (without proof). Also Visit: Connect With us in Social Media: Notes By: Manish Joshi

Measure of Dispersion: Standard deviation, variance, coefficient of variation, Skewness, Karl Pearson’s coefficient of skewness. Also Visit: Connect With us in Social Media: Notes By: Manish Joshi