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Index

Polynomials

Equations in One Variable

Inequalities

System of Equations

Functions

Trigonometric Functions

Exponents

Rational & Irrational Numbers

Complex Numbers

Vectors

Matrices

Limits

Differentiation

Integration

Surface Area & Volumes

Geometric Theorems

Similarity Theorems

Trigonometric Ratios & Triangles

Circles

Conics

Statistics

Probability

All Exams > EmSAT Achieve > Mathematics for EmSAT Achieve > All Notes

All notes of Mathematics for EmSAT Achieve

Polynomials

Chapter Notes: Polynomials

13 pages

PPT: Polynomials

20 pages

Important Definitions & Formulas: Polynomials

5 pages

Geometrical meaning of the Zeroes of a Polynomial

5 pages

Additional Questions Answers: Polynomials

6 pages

Short Answer Questions: Polynomials -1

13 pages

Short Answer Questions: Polynomials - 2

10 pages

Introduction: Polynomials

4 pages

Value Based Questions: Polynomials

1 page

Index: Polynomials

1 page

Relationship between Zeroes & Coefficients of a Polynomial

3 pages

Division Algorithm for Polynomials

4 pages

Formula Sheet: Polynomials

5 pages

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Equations in One Variable

Chapter Notes: Linear Equations in One Variable

3 pages

PPT: Linear Equations in One Variable

15 pages

Points to Remember: Linear Equations in One Variable

4 pages

Worksheet Questions: Linear Equations in One Variable

1 page

Formative Assessment: Linear Equations in One Variable

1 page

Solved Questions: Linear Equations in One Variable

2 pages

MCQ (with Solutions): Linear Equations in One Variable

1 page

Reducing Equations to Simpler Form

3 pages

Important Formulas: Linear Equations in One Variable

3 pages

Inequalities

Inequalities

4 pages

Linear Inequalities in One Variable and Two Variables

12 pages

Important Formulas: Inequalities

9 pages

System of Equations

Equations of Lines Parallel to the x-axis & y-axis

5 pages

Short Notes: Linear Equations in Two Variables

3 pages

Very Short Answer Type Questions: Linear Equations in Two Variables

2 pages

Value-Based Questions: Linear Equations in Two Variables

5 pages

Long Answer Type Questions: Linear Equations in Two Variables

5 pages

Chapter Notes: Linear Equations in Two Variables

8 pages

PPT: Linear Equations in Two Variables

14 pages

Short Answer Type Questions: Linear Equations in Two Variables

3 pages

HOTS Questions: Linear Equations in Two Variables

2 pages

Worksheet: Linear Equations in Two Variables

5 pages

Introduction: Linear Equation in Two Variables

6 pages

Graph of Linear Equations in Two Variables

4 pages

Important Formulas: Linear Equations in Two Variables

1 page

Functions

Important Formulas: Functions With Examples

3 pages

Notes: Sets

26 pages

Venn Diagrams & Operations on Sets

7 pages

Notes: Sets

25 pages

Relations & Its Types

10 pages

Composition of Functions

6 pages

Introduction: Relations & Functions

8 pages

Real Valued Functions

15 pages

Algebra of Real Functions & Binary Operations

6 pages

Cartesian Product of Two Sets

2 pages

Solved Examples: Union & Intersection of Sets

7 pages

Classification of Functions

8 pages

Periodic & Inverse Function

6 pages

Important Formulas: Functions Formulas

12 pages

Trigonometric Functions

Important Formulas & Examples: Trigonometric Functions - 1

7 pages

Trigonometric Ratios & Identities- 1

4 pages

Important Formulas & Examples: Trigonometric Functions - 2

4 pages

Trigonometric Equations

12 pages

Trigonometric Ratios & Identities- 2

6 pages

Basic Trigonometric Functions and Identities

18 pages

Solution of Triangles

35 pages

Exponents

Important Questions: Exponents and Powers

1 page

Points to Remember- Exponents and Powers

5 pages

Important Formulas: Exponents & Powers

1 page

PPT: Exponents & Powers

11 pages

Rational & Irrational Numbers

Important Definitions & Formulas: Real Numbers

4 pages

Short Answer Questions: Real Numbers - 1

6 pages

Chapter Notes: Real Numbers

5 pages

Short Answer Questions: Real Numbers - 2

13 pages

PPT: Real Numbers

14 pages

Introduction: Real Numbers

2 pages

Fundamental Theorem of Arithmetic, HCF & LCM

10 pages

Index: Real Numbers

1 page

HOTS & Value Based Questions: Real Numbers

4 pages

Worksheet: Real Numbers

1 page

Assertions & Reason Type Questions: Real Numbers

6 pages

Euclid’s Division Algorithm

2 pages

Irrational Numbers & Decimal Expansions of Real Numbers

12 pages

Very Short Answer Type Questions: Real Numbers

4 pages

Complex Numbers

Basics of Quadratic Equations

5 pages

Introduction to Complex Number

9 pages

Algebra of Complex Numbers

2 pages

Important Properties of Conjugate, Modulus & Argument

2 pages

Modulus & Conjugate of a Complex Number

3 pages

Argand Plane & Polar Representation

4 pages

Representation of a Complex Number

5 pages

Examples: Quadratic Equations

22 pages

Important Formulas: Complex Numbers & Quadratic Equations

14 pages

Vectors

Types of Vectors

2 pages

Addition and Multiplication of a Vector by a Scalar

1 page

Important Formulas: Section Formula & Scalar Product of Two Vectors

4 pages

Product of Vectors

5 pages

Product of Four Vectors

1 page

Important Formulas: Vector

8 pages

Matrices

Overview: Matrices

9 pages

Matrix Operations

10 pages

System of Linear Equations

5 pages

Adjoint and Inverse of a Matrix

3 pages

Operations of Matrix

14 pages

Types of Matrices

7 pages

Transpose and Inverse of a Matrix

7 pages

Important Formulae: Matrices

2 pages

Limits

Introduction to Limits

2 pages

Limits of Trigonometric Functions

1 page

Limits of Exponential Functions

8 pages

Methods of Evaluating Limits

1 page

Derivatives of a Function

2 pages

Important Formulas: Limits & Derivatives

5 pages

Differentiation

Continuity

9 pages

Tangent and Normal

20 pages

Rate of Change of Quantities

3 pages

Differentiability of a Function and Rate of Change

10 pages

Tangents at the Origin

12 pages

Calculus and Approximation

3 pages

Maxima and Minima of a Function

28 pages

Relation Between Continuity & Differentiability

3 pages

Classification of Discontinuity

2 pages

Increasing and Decreasing Functions & Monotonicity

36 pages

Exponential & Logarithmic Functions

3 pages

Important Formulas: Application of Derivatives Formulas

12 pages

Derivatives of a function in parametric form

2 pages

Second Order Derivative

2 pages

Mean Value Theorem

1 page

Important Formulas: Limit and Continuity & Differentiability of Function

9 pages

Integration

Introduction to Integrals

4 pages

Definite Integration and Its Properties

5 pages

Integrals of Some Functions

15 pages

Integration by Substitution & Trigonometric Identities

3 pages

Definite Integral As Limit Of A Sum And Estimate Of Definite Integrals

6 pages

Integration of Irrational Functions

2 pages

Integration by Partial Fractions

9 pages

Integration by Parts

1 page

Important Formulas: Integration by Reduction Formula

4 pages

Euler's Substitutions

1 page

Surface Area & Volumes

Important Formulas: Surface Areas & Volumes

1 page

Short Answer Type Questions: Surface Areas & Volumes

4 pages

HOTS Questions: Surface Areas & Volumes

1 page

PPT: Surface Area & Volumes

26 pages

Surface Area & Volume of Sphere

4 pages

Surface Area & Volume of Cube & Cuboid

10 pages

Very Short Answer Type Questions: Surface Areas & Volumes

1 page

Value-Based Questions: Surface Areas & Volumes

9 pages

Surface Area & Volume of Right Circular Cylinder

8 pages

Surface Area & Volume of Right Circular Cone

7 pages

Chapter Notes: Surface Area & Volumes

8 pages

Important Formulas: Surface Area & Volumes

1 page

Geometric Theorems

Short Answer Type Questions: Lines & Angles

3 pages

HOTS Questions: Lines & Angles

5 pages

Chapter Notes: Lines & Angles

21 pages

Short Answer Type Questions: Circles

4 pages

Facts that Matter: Circles

2 pages

Long Answer Type Questions: Circles

1 page

Chapter Notes: Circles

8 pages

Value-Based Questions: Lines & Angles

3 pages

Practice Questions: Circles

7 pages

Very Short Answer Type Questions: Circles

3 pages

PPT: Circles

24 pages

Value-Based Questions: Circles

1 page

Important Formulas: Circles

1 page

Very Short Answer Type Questions: Lines & Angles

1 page

Circle & its Related Terms

7 pages

Circle Theorems

11 pages

Facts that Matter: Lines & Angles

3 pages

Long Answer Type Questions: Lines & Angles

2 pages

Angle Sum Property of a Triangle & Exterior Angle Property

1 page

Introduction: Lines & Angles

2 pages

Important Formulas: Lines & Angles

1 page

Parallel Lines & a Transversal

6 pages

PPT: Lines & Angles

10 pages

Similarity Theorems

Important Definitions & Formulas: Triangles

2 pages

Chapter Notes: Triangles

6 pages

PPT: Triangles

42 pages

Short Answer Questions: Triangles

12 pages

Facts that Matter: Triangles

2 pages

Additional Question Answers: Triangles

6 pages

Long Answer Questions: Triangles

9 pages

Trigonometric Ratios & Triangles

Important Formulas & Examples: Trigonometric Functions - 1

7 pages

Trigonometric Ratios & Identities- 1

4 pages

Trigonometric Equations

12 pages

Trigonometric Ratios & Identities- 2

6 pages

Basic Trigonometric Functions and Identities

18 pages

Solution of Triangles

35 pages

Circles

Circle: Theorems and Equation

31 pages

Overview: Conic Sections

6 pages

Important Formulas: Conic Section (Circle, Parabola, Ellipse, Hyperbola)

11 pages

Conics

Overview: Conic Sections

6 pages

Parabola

21 pages

Coordinate Geometry

3 pages

Basics of Straight Lines

4 pages

Ellipse

15 pages

Area of Triangle

4 pages

Angle Between Two lines

2 pages

Various Forms of the Equation of Line

4 pages

Important Formulas: Conic Section (Circle, Parabola, Ellipse, Hyperbola)

11 pages

The distance of Point From a Line

3 pages

Point Slope Form and Two Point Form

5 pages

Distance of a Point from a Line and Distance between two Parallel Lines

12 pages

Important Formulas: Straight Lines & Pair of Straight Lines

11 pages

Statistics

Introduction: Statistics

7 pages

Measure of Dispersion - Statistics

3 pages

Median, Quartiles and Mode

3 pages

Measures of Central Tendency

1 page

Important Formulas: Statistics

3 pages

Probability

Conditional Probability and its Properties

2 pages

Probability: Introduction and Definition

8 pages

Venn Diagrams

3 pages

Independent Events and Their Important Properties

2 pages

Doc: Events and Its Types- Probability

2 pages

Axiomatic Probability

6 pages

Bayes' Theorem

4 pages

Probability Distribution of a Random Variable

6 pages

Types of Probability

11 pages

Binomial Distribution

3 pages

Important Formulas: Probability

1 page

Mathematics for EmSAT Achieve

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