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College Mathematics 2 – (XII Grade)

 Matrices and Transformations The Derivative Applications of Differentiation Matrices Square Matrices Equality of Matrices Transpose of a Matrix Addition of Matrices Null of Zero Matrices Subtraction of Matrices Multiplication of a Matrix by a Scalar Multiplication of Matrices Unit or Identity Matrices Inverse of a Square Matrix and Determinants Transformations Reflections Rotations Stretching Transformations Shear Transformations Inverse Transformations General Linear Transformations Gradient and Derivative The Derivative of xn Differentiation of Sum, Difference, Product and Quotient Differentiation of Trigonometrical Functions The Chain Rule Implicit Differentiation Parametric Representation Exponential Functions Logarithmic Functions Differentiation of Exponential and Logarithmic Functions Inverse Trigonometric Functions Higher Derivatives Rates of Change Velocity and Acceleration Maxima and Minima Maximization and imization Problems Inflexion Points Graph Sketching Small Increments The Indefinite Integral The Definite Integral Polar Coordinates, de Moivre's Theorem and Power Series Introduction Definition of Indefinite Integral Significance of the Constant C Basic Properties of Indefinite Integral Method of Substitution Integration by Parts Partial Fractions Introduction Definite Integral as the Limit of a Sum Computation of Definite Integrals Plane Areas Mean Value of a Function Volumes Trapezium Rule Polar Coordinates Gradient of Tangent Curve Sketching Area Exponential Function and Some of its Properties Euler's Formula and de Moivre's Theorem Higher Order Differentiation Power Series Expansion MacLaurin's Theorem Taylor's Theorem Differential Equations Solutions of Algebraic Equations Probability Introduction Law of Growth and Decay Separable Equations Solution Curves Linear Equations Second Order Linear Equations Simple Harmonic Motion Inhomogeneous Equations Other Types of Second Order Differential Equations Introduction Location of Roots Estimates of Roots and Their Error Linear Interpolation The Newton-Raphson Method Random Experiments and Events Relative Frequency and Probability of an Event Finite Sample Spaces and Equally Likely Outcomes Conditional Probability and Independence Total Probability Theorem and Bayers' Theorem Random Variables Some Important Classes of Distribution Statistical Inference Random Variables Distribution Function and Expectation of a Random Variable Bivariate Random Variables Uniform Distribution (Discrete Type) Binomial Distribution Poisson Distribution Rectangular Distribution Normal Distribution Central Limit Theorem Presentation of Observed Data Sample Characteristics I Sample Characteristics II Point and Interval Estimations Test of Hypotheses Kinematics Dynamics Statics Displacement Velocity Acceleration Units One-Dimensional Motions Uniform Motion Uniformly Accelerated Motion General Case Simple Harmonic Motion Two-Dimensional Motions Motion with Constant elerationv Projectile Motion Circular Motion Uniform Circular Motion Relative Velocity Uniform Relative Motion Force The Law of Inertia Linear Momentum Newton's Second Law of Motions Friction Elastic Force Gravitation Motion of Planets Conservation of Linear Momentum Newton's Third Law Connected bodes Impulse Work Power Kinetic Energy Potential Energy Conservation of Mechanical Energy Collision of Two Particles Equilibrium of a Particle Centre of Mass Moment Equilibrium of a Rigid body Stability of a Position of Equilibrium

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