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Coming Soon |
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College Mathematics 1 – (XI Grade) |
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Preliminaries |
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Arithmetic and Geometric Progressions |
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Remainder and Factor Theorems |
- Sets
- Indices and Logarithms
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- Arithmetic Progressions
- Arithmetic Series
- Geometric Progressions
- Geometric Series
- Compound Interest
- Infinite Geometric Series
- The Summation Notation
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- Polynomials
- Algebraic Operations on Polynomial
- The Remainder Theorem
- The Factor Theorem
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Mathematical Induction |
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Permutations and Combinations |
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Partial Fractions and the Binomial Theorem |
- Introduction
- The Principle
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- Introduction
- Permutations
- Two Basic Principles
- More on Permutations
- Combinations
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- Partial Fractions
- The Binomial Theorem
- The Binomial Series
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Quadratic Equations |
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Inequalities |
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Complex Numbers |
- Quadratic Expressions
- Quadratic Expressions
- Range of Values of ax2 + bx + c
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- Basic Concepts and Results
- Inequalities on One Variable
- Inequalities on Two Variables
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- The Complex Number System
- The Argand Diagram
- Trigonometric Form of a Complex Number
- Multiplication, Division and De Moivre's Theorem
- Geometry in the Argand Diagram
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Relations and Functions |
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Trigonometry |
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Vectors |
- Relations
- Functions
- Some Basic Algebraic Functions
- Simple Transformations on Graphs
- One-one and Onto Functions
- Inverse Functions
- Composite Functions
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- Radian and Degree Measures of an Angle
- The Trigonometrical Functions
- The Graphs of Trigonometrical Functions
- The Inverse Trigonometrical Functions
- Fundamental Identities
- General Solutions of Trigonometrical Equations
- Problems in Three Dimensional Space
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- Introduction
- Geometrical Representation of Vectors
- Fundamental Results and the Ratio Theorem
- Position Vectors
- Two Dimensional Vectors in Cartesian Form
- Three Dimensional Vectors in Cartesian Form
- Vector Equations of Lines and Planes
- Scalar Product of Two Vectors
- Projections
- Equation of a Circle
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