Chapter 1. Relations and Functions

 (This chapter is a continuation of our first year chapter 2. Relations and Functions)

Section 1.1

Types of Relations.

Section 1.2

Types of Functions.

Section 1.3

Composition of Functions.
Inverse of Functions.

Section 1.4

Binary Operations.

Chapter 2. Inverse Trigonometric Functions

(Continuation of our first year chapter Trigonometric Functions and Second year chapter Relations and Functions)


Section 2.1 and 2.2

Chapter 3. Matrices

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  • Victers Channel : 

Section 3.1

Matrix , Types of Matrices

Chapter 4. Determinants

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  • Victers Channel : 

Section 4.1

Evaluation of Determinants

Section 4.2

Properties of Determinants

Section 4.3

Area of a triangle using Determinants

Section 4.4

Minors, Cofactors

Section 4.5

Adjoint and Inverse of a Matrix

Section 4.6

Solution by Matrix method

Chapter 5. Continuity and Differentiability

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Section 5.1

Continuity of a function

Section 5.2

Differentiation by Chain rule

Section 5.3

Differentiation of Implicit Functions

Section 5.4

Exponential and Logarithm Functions

Section 5.5

Logarithmic Differentiation

Section 5.6

Differentiation of Parametric Functions

Section 5.7

Second Order Derivatives

Section 5.8

Rolles Theorem, Mean Value Theorem

Chapter 6. Application of Derivatives

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Section 6.1

Rate of Change of Quantities

Section 6.2

Increasing and Decreasing functions

Chapter 7. Integrals

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Section 7.1

Introduction - Standard Results

Section 7.2

Integration by substitution

Section 7.3

Integration using trigonometric identities

Section 7.4

Integration of some Particular types

Section 7.5

Integration by Partial fraction

Section 7.6

Integration by Parts

Section 7.7

Integration of some more types

Section 7.8

Definite integral as the limit of a sum

Section 7.9

Value of Definite integral by Second Fundamental theorem

Section 7.10

Value of definite integral by Substitution

Section 7.11

Properties of Definite integrals

Chapter 8. Application of Integrals

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Section 8.1 & 8.2

Area under a curve

Chapter 9. Differential Equations

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Section 9.1

Order and Degree of a differential equation

Section 9.2

Solution of a Differential Equation

Section 9.3

Formation of a Differential Equation

Section 9.4

Variable Separable Differential Equation

Section 9.5

Homogeneous Differential Equation

Section 9.6

Linear Differential Equation

Chapter 10. Vector Algebra

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Section 10.1

Types of vectors

Section 10.2

Operations of vectors

Section 10.3

Scalar product of vectors

Section 10.4

Vector product of vectors

Section 10.5

Scalar triple product

Chapter 11. Three Dimensional Geometry

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Section 11.1

Direction ratios and Direction cosines

Section 11.2

Straight Lines

Section 11.3

Plane

Chapter 12. Linear Programming

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Section 12.1 & 12.2

Solution of LPP

Chapter 13. Probability

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Section 13.1

Conditional Probability

Section 13.2

Independent Events

Section 13.3

Baye's Theorem

Section 13.4

Random variable, Mean and Variance

Section 13.5

Bernolli Trials and Binomial Distribution
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