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Intro to Mathematical Tools

Equations, Linear Equations, Quadratic Equations

Functions, Transformation, Axis Translation, Modulus, Greatest Integer, Exponential, Logarithmic

Arithmetic, Geometric and Harmonic Mean, Progressions, Binomial Theorem

Angles, Trigonometric Ratios, Range, Graphs, Angle Approximations

Compound Angles, Inverse Trigonometric Functions, Properties of Triangles

Straight Lines

Parabola, Circle, Ellipse, Hyperbola

Limits, Differentiation, Second Derivatives, Maxima and Minima

Integrations, Definite Integrals

Basics of Vectors, Addition of Vectors

Resolution of Vectors, Components

Unit Vectors

Multiplication of Vectors, Dot and Cross Product, Triple Product

Selected Problems of Algebra, Trigonometry, Coordinate Geometry

Selected Problems of Differentiation and Integration

Selected Problems of Vectors