This course is designed for Board students.
Course Curriculum

Matrices and Determinants

Introduction to Matrices
 Introduction to Matrices – ICE 1

Introduction to Matrices – HA 1
 Multiplication of Matrices, Transpose of a Matrix, Symmetric and Skew symmetric Matrix
 Multiplication of Matrices and Matrix Transpose – ICE 2

Multiplication of Matrices and Matrix Transpose – HA 2
 Questions on nth power of Matrix (From Miscellaneous Exercise of Chapter 3 Matrices)
 Invertible Matrix, Inverse of a Matrix using Elementary Operations
 Determinants, Its Representation and Expansion of Determinants, Properties of Determinants
 Determinant and Properties of Determinant: ICE 1

Determinant and Properties of Determinant: Worksheet – ICE 1 and HA 1

Determinant and Properties of Determinant: Solutions – ICE 1 and HA 1
 Use of Determinants in Coordinate Geometry, Adjoint of a Matrix and Inverse Matrix using Adjoint

Matrices: NCERT FingerTips

Determinants: NCERT FingerTips
 Discussion of ICE on Adjoint of Matrix and Inverse Matrix using Adjoint
 System of linear equation (Matrix Method)
 Discussion of ICE on System of Linear Equations


Relations and Functions
 Relations and Types of Relations.

Discussion of ICE 1 Relations and Types of Relations

Discussion of ICE 1(part 2) Relations and types of relations

Worksheet 1
 Types of Functions

Worksheet 2

Discussion ICE 2 on Types of Function
 Composition of Functions

Discussion of ICE 3 on Composition of Functions
 Inverse of a Function

Inverse Trigonometric Functions

Defining Inverse Trigonometric Functions

ICE Discussion on defining inverse trigonometric functions.

Properties of Inverse Trigonometric Functions.


Continuity & Differentiability
 Continuity (Part I)
 Continuity in an Interval and Continuous Functions

Discussion of ICE 1(Part I) on continuity.

Discussion of ICE 1(Part II) on continuity
 Differentiability
 MOD: Lecture 1

ICE 2 on MOD
 MOD Lecture 2

ICE 3 on MOD

ICE 4 on MOD

ICE 5 on MOD

Applications of Derivatives

Tangents and Normals

Increasing and Decreasing Functions

ICE 2 Increasing and Decreasing Functions

Maxima and Minima

ICE on Maxima and Minima

ICE of Maxima and Minima

ICE on Maxima and Minima

Lagrange’s Mean Value Theorem and Rolle’s theorem  Board( Optional)


Integration

Introduction to Integration

ICE 1 on Introduction to Integration

Worksheet 1

Integration by Substitution I

ICE 2 Integration by Substitution I

Worksheet 2

Integration by SubstitutionII

ICE 3 Integration by SubstitutionII

Worksheet 3

Integration by Partial Fraction Decomposition

ICE 4 Integration by Partial Fraction Decomposition

Worksheet 4

Integration by Parts

ICE 5 Integration by Parts

Worksheet 5

AntiDerivatives by Integration Limits

ICE 1 AntiDerivatives by Integration Limits

Worksheet 1
