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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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