1. Progressions
- 1.1 Sequences and Series
- 1.2 Characteristics of Arithmetic Progression
- 1.3 The n-th Term of an Arithmetic Progression
- 1.4 Sum of the First n Terms of Arithmetic Progressions
- 1.5 Characteristics of Geometric Progressions
- 1.6 The n-th Term of a Geometric Progressions
- 1.7 Sum of the First n Terms of Geometric Progressions
- 1.8 Sum to Infinity of Geometric Progressions
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2. Linear Law
- 2.1 Line of Best Fits
- 2.2 Application of Linear Law to Non-Linear Functions
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3. Integration
- 3.1 Integration as the Inverse of Differentiation, Integration of ax and Integration of the Functions of the Sum/ Difference of Algebraic Terms
- 3.2 Integration by Substitution
- 3.3 Finding Equation of a Curve from its Gradient Function
- 3.4 Definite Integrals
- 3.5 Integration as the Summation of Areas
- 3.6 Integration as the Summation of Volumes
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4. Vectors
- 4.1 Definition of Vector and Vector Notation
- 4.2 Equality of Two Vectors
- 4.3 Multiplication of Vector by a Scalar and the Parallel Condition of Two Vectors
- 4.4 Addition of Vectors
- 4.5 Subtraction of Vectors
- 4.6 Expression of a Vector as the Linear Combination of a Few Vectors
- 4.7 Vectors in the Cartesian Coordinates
- 4.8 Unit Vector in the Direction of a Vector
- 4.9 Addition and Subtraction of Vectors in the Cartesian Coordinates
- 4.10 Position Vectors in the Cartesian Coordinates
- 4.11 Expression of a Vector as the Linear Combination of a Few Vectors in the Cartesian Coordinates
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5. Trigonometric Functions
- 5.1 Positive and Negative Angles
- 5.2 Six Trigonometric Functions of any Angle
- 5.3 Simple Trigonometric Equations
- 5.4 Graphs of the Functions of Sine, Cosine and Tangent
- 5.5 Basic Trigonometric Identities
- 5.6 Formulae of sin (A+B), cos (A+B), tan (A+B), sin 2A, cos 2A and tan 2A
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6. Permutations and Combinations
- 6.1 rs Multiplication Principle/Rule
- 6.2 Permutations
- 6.3 Permutation of n Different Objects, Taken r at a Time
- 6.4 Combinations
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7. Probability
- 7.1 Probability of an Event
- 7.2 Probability of the Combination of Two Events
- 7.3 Probability on Mutually Exclusive Events
- 7.4 Probability of Independent Events
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8. Probability Distributions
- 8.1 Binomial Distribution
- 8.2 Normal Distribution
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9. Motion Along a Straight Line
- 9.1 Displacement
- 9.2 Velocity
- 9.3 Acceleration
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10. Linear Programming
- 10.1 region that satisfies a Few Linear Inequalities
- 10.2 Problem Interpretation and Formation of the Related Inequalities or Equations
- 10.3 Solving Linear Programming Problems using Graphical Method
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