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 College Mathematics 1 – (XI Grade)
 
Preliminaries Arithmetic and Geometric Progressions Remainder and Factor Theorems
  • Sets
  • Indices and Logarithms
  • Arithmetic Progressions
  • Arithmetic Series
  • Geometric Progressions
  • Geometric Series
  • Compound Interest
  • Infinite Geometric Series
  • The Summation Notation
  • Polynomials
  • Algebraic Operations on Polynomial
  • The Remainder Theorem
  • The Factor Theorem
Mathematical Induction Permutations and Combinations Partial Fractions and the Binomial Theorem
  • Introduction
  • The Principle
  • Introduction
  • Permutations
  • Two Basic Principles
  • More on Permutations
  • Combinations
  • Partial Fractions
  • The Binomial Theorem
  • The Binomial Series
Quadratic Equations Inequalities Complex Numbers
  • Quadratic Expressions
  • Quadratic Expressions
  • Range of Values of ax2 + bx + c
  • Basic Concepts and Results
  • Inequalities on One Variable
  • Inequalities on Two Variables
  • 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
Relations and Functions Trigonometry Vectors
  • Relations
  • Functions
  • Some Basic Algebraic Functions
  • Simple Transformations on Graphs
  • One-one and Onto Functions
  • Inverse Functions
  • Composite Functions
  • 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
  • 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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