- Mathematics 1 : For General programming
- Mathematics 2 : For Machine Learning.
- Mathematics 3 : For graphics.
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Algebra
- Permutations and Combinations
- Binomial Series
- Sequence and Series
- Infinite Series
- Binomial Theorem for any Index
- Exponential Series
- Logarithmic Series
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Sets and Logic
- Sets and Relations
- Functions
- Reasoning and Logic
- Knowledge representation
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Matrices
- Matrix
- Types of Matrices
- Operations on Matrices
- Transpose of a Matrix
- Symmetric and Skew Symmetric Matrices
- Elementary Operation (Transformation) of a Matrix
- Invertible Matrices
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Determinants
- Determinant
- Properties of Determinants
- Area of a Triangle
- Minors and Cofactors
- Adjoint and Inverse of a Matrix
- Applications of Determinants and Matrices
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Probability
- Events and Random Experiments
- Conditional Probability
- Multiplication Theorem on Probability
- Bayes' Theorem
- Bernoulli Trials
- Poission and Binomial Distributions
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Statistics
- Mean, Median and Mode
- Range, Dispersion, Deviation
- Variance and Standard Deviation
- T test, F test, Z test, CHI square test
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Calculus
- Limits
- Continuity
- Differentiability
- Exponential and Logarithmic Functions
- Logarithmic Differentiation
- Derivatives of Functions in Parametric Forms
- Second Order Derivative
- Mean Value Theorem
- Differentiation
- Rate of Change of Quantities
- Increasing and Decreasing Functions
- Tangents and Normals
- Approximations
- Maxima and Minima
- Integration
- Integration as an Inverse Process of Differentiation
- Methods of Integration
- Integrals of some Particular Functions
- Integration by Partial Fractions
- Integration by Parts
- Definite Integral
- Fundamental Theorem of Calculus
- Evaluation of Definite Integrals by Substitution
- Area under Simple Curves
- Area between Two Curves
- Differential equations
- Basic Concepts
- General and Particular Solutions of a Differential Equation
- Formation of a Differential Equation whose General Solution is given
- Methods of Solving First order, First Degree Differential Equations
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Functions and Equations
- Quadratic and Cubic equations
- Complex Numbers
- Trigonometry
- Inverse Trigonometric Functions
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Coordinate Geometry
- Lines
- General Equation of a Line
- Slope
- Distance of a Point From a Line
- Conic Sections
- Sections of a Cone
- Parabola
- Ellipse
- Vector Algebra
- Types of Vectors
- Addition of Vectors
- Multiplication of a Vector by a Scalar
- Product of Two Vectors
- Three Dimensional Geometry
- Coordinate Axes and Coordinate Planes in Three Dimensional Space
- Section Formula
- Direction Cosines and Direction Ratios of a Line
- Equation of a Line in Space
- Angle between Two Lines
- Shortest Distance between Two Lines
- Plane and co-planarity
- Angle between Two Planes
- Distance of a Point from a Plane
- Angle between a Line and a Plane