## Description

#### There will be 5 online classes per week of about 1 hour each and the entire syllabus will be covered by December so that students will get sufficient time for the revision before the exams. This course is being taught by our expert faculty, Mr. Ved Prakash Sharma. He will also take live classes and clarify student’s doubts. Students will be given regular assignments, quizzes and tests to ensure their preparedness for Board Exams. Students will also receive a free booklet (worth Rs. 800) containing important formulas, notes and practice questions.

*The entire syllabus has been divided into logical sections for better understanding of the students. All these sections will be covered sequentially as listed below.*

Chapter 1: Relations & Functions | |

Relations | |

Functions | |

– Types of Function | |

– composite functions | |

– Inverse of a function | |

Chapter 2: Inverse Trigonometric Functions | |

Introductions Inverse Trigonometric Functions | |

Graphs of inverse trigonometric function | |

Elementary properties of inverse trigonometric functions | |

Chapter 3: Matrices | |

Algebra of Matrices | |

Existence of non-zero matrices whose product is the zero matrix | |

Proof of the uniqueness of inverse , if exist | |

Concept of Elementary row and column operations | |

Chapter 4: Determinants | |

Determinants | |

Properties of Determinants | |

Adjoint and Inverse of a Matrix | |

Solution of Simultaneous Linear Equations | |

Chapter 5: Continuity | |

Continuity | |

Differentiability | |

Differentiation | |

Higher Order Derivatives | |

Mean Value Theorems | |

Chapter 6: Applications of Derivatives | |

Derivative as a Rate Measurer | |

Differentials, Errors and Approximations | |

Tangents and Normals | |

Increasing and Decreasing Functions | |

Maxima and Minima | |

Chapter 7: Integrals | |

Indefinite Integrals | |

Definite Integrals | |

Integration as limit as sum | |

Chapter 8: Application of Integrals | |

Area using vertical strips and horizontal strips | |

Area between two curves | |

Chapter 9: Differential Equations | |

Degree of differential equations | |

Formation of differential equations solution of differential equations | |

Methods of solving first order first degree differential equation | |

Variable separable differential equation | |

Homogeneous differential equation | |

Linear differential equation | |

Applications of differential equations | |

Chapter 10: Algebra of Vectors | |

Algebra of Vectors | |

Scalar Or Dot Product | |

Vector or Cross Product | |

Chapter 11: Three Dimensional Geometry | |

Scalar Triple Product | |

Direction Cosines and Direction Ratios | |

Straight line in space | |

The plane | |

Chapter 12: Linear programming | |

Solution of given LPP | |

Mathematical formulation LPP & Unbounded | |

Chapter 13: Probability | |

Conditional theorem | |

Multiplication theorem | |

Total theorem of probability | |

Bayes Theorem probability | |

Mean and variance of a random variable | |

Binomial Distribution |

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