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

Continuity & Differentiability

Applications of Derivatives

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
 Properties of Definite Integration
 ICE 2 Properties of Definite Integration
 Worksheet 2

Applications of Integrals

Differential Equation
 Introduction to Differential Equations
 ICE 1 Introduction to Differential Equations
 Worksheet 1
 Methods of Solving Differential Equations L1
 ICE 2 Methods of Solving Differential Equations
 Worksheet 2
 Method To Solve Differential Equation (Part 2)
 ICE 3 Method to Solve Differential Equations
 Worksheet 3

Vector Algebra

Three Dimensional Geometry

Probability
 Lecture 1 Probability (Revision of class 11th)
 Lecture 2 Probability (Conditional Probability)
 ICE 1 Probability (Conditional Probability)
 Workshet 1
 Lecture 3 Probability (Multiplication Theorem)
 ICE 2 Probability (Multiplication Theorem)
 Worksheet 2
 Lecture 4 Probability (Baye’s Theorem)
 ICE 3 Probability (Baye’s Theorem)
 Worksheet 3
 Lecture 5 Probability (Random Variable)
 ICE 4 Probability (Random Variable)
 Worksheet 4

Linear Programming