• Symbolic Logic
• Sets
• Relations
• Functions
• Countable and Uncountable Sets
• Binary Operation
• Permutation and Combinations
• Matrices
• Geometric Properties of Linear Transformation
• Calculus - Differentiation
• Successive Differentiation - nth Derivates
• Leibnitz Theorem
• Partial Differentiation
• Application of Differential Calculus
• Curvature and Radius of Curvature
• Envelope
• Integration
• Reduction Formula
• Definite Integral
• Integration as Limit of Summation
• Area Under Plane Curves
• Volume of Solid Revolution
• Length of an Arc
• Surface Area
• Co-ordinate Geometry - Straight Line
• Pair of Straight Lines
• Circle and System of Circles
• Conics : Parabola, Ellipse, Hyperbola, Polar Equations
• Plane
• Straight Line
• Sphere
• Cone
• Cylinder
• Lattices
• Boolean Algebra
• The Pigeon hole principle
• Semi Groups and Monoids
• Groups
• (A) Subgroups
• (B) Isomorphism and Homomorphism
• (C) Cosets and Normal Subgroups
• (A) First order and First Degree - Equations of Bernoulli
• (B) Differential Equations of First Order and Higher Degree
• Second Order Differential Equations with constant Co-efficients
• Linear Homogeneous Equation
• Fourier Series
• Fourier Transform

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PART – I STATICS

• Introduction
• Forces Acting at a Point
• Parallel Forces and Moments
• Friction
• Centre of Gravity
• Equilibrium of Strings
• Stability of Equilibrium
• Virtual Work

PART – II DYNAMICS

• Kinematics of a Point
• Kinetics – Newton’s Laws of Motion
• Work, Power and Energy
• Simple Harmonic Motion
• Motion in a Resisting Medium
• Plane Motion – Projectiles
• Impulse – Impulsive Forces
• Circular Motion
• Coplanar Motion – Central Orbits
• Moment of Inertia
• Motion of a Rigid Body – Rotation about a Fixed Axis
• Past University Question Papers

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• Probability
• Random Variables
• Mathematical Expectations
• Variance
• Moments and Moment Generating Function
• Characteristic Functions
• Conditional Expectation
• Correlation
• Regression
• Curve Fitting
• Multiple and Partial Correlation
• Binomial Distribution
• Poisson Distribution
• Negative Binomial and Hypergeometric Distribution
• Geometric Distribution
• Normal Distribution
• Uniform Distribution
• Exponential Distribution
• Gamma Distribution
• Beta Distribution
• Functions of Random Variables
• Sampling Distribution - Chi Square, t, F Distribution
• Estimation
• Large Samples
• Small Samples - t Test
• Small Samples - F Test
• Small Samples - Chi-Square Test
• Design of Experiments
• Test of Hypothesis
• Sampling from Finite Population
• Statistical Methods
• Introduction
• Collection of Data
• Classification and Tabulation
• Diagrammatic Representation
• Measures of Averages
• Measures of Dispersion
• Measures of Sknewness, Kurtosis and Moments

₹280.00

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