Skill Station Academy

Mathematics CBSE-JEE Class 12 Bridge Course for JEE Aspirants

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Course Overview

This Mathematics Class 12 Crash Course for JEE Aspirants follows a structured, topic-wise and concept-first approach, beginning with Functions, followed by Vectors & 3D Geometry, Calculus & Differential Equations, and finally other supporting topics.

Day-wise Syllabus Plan

DayTopics
Day 01Relations and Functions – Introduction, Types of Relations
Day 02Types of Functions
Day 03Composition of Functions and Invertible Functions
Day 04Inverse Trigonometric Functions – Basics
Day 05Properties of Inverse Trigonometric Functions
Day 06Vector Algebra – Introduction & Basic Concepts
Day 07Types of Vectors
Day 08Addition of Vectors
Day 09Scalar Multiplication of Vectors
Day 10Product of Two Vectors
Day 113D Geometry – Direction Cosines & Ratios
Day 12Equation of a Line in Space
Day 13Angle Between Two Lines
Day 14Shortest Distance Between Two Lines
Day 15Continuity
Day 16Differentiability
Day 17Exponential and Logarithmic Functions
Day 18Logarithmic Differentiation
Day 19Parametric Differentiation
Day 20Second Order Derivatives
Day 21Applications of Derivatives – Rate of Change
Day 22Increasing and Decreasing Functions
Day 23Maxima and Minima
Day 24Integrals – Basic Concepts
Day 25Methods of Integration
Day 26Integration of Particular Functions
Day 27Integration by Partial Fractions
Day 28Integration by Parts
Day 29Definite Integrals
Day 30Fundamental Theorem of Calculus
Day 31Evaluation of Definite Integrals
Day 32Properties of Definite Integrals
Day 33Applications of Integrals – Area Under Curves
Day 34Differential Equations – Introduction
Day 35General and Particular Solutions
Day 36First Order, First Degree Differential Equations
Day 37Matrices – Introduction & Types
Day 38Operations on Matrices
Day 39Transpose, Symmetric & Skew-Symmetric Matrices
Day 40Invertible Matrices
Day 41Determinants – Introduction
Day 42Minors, Cofactors & Area of Triangle
Day 43Adjoint and Inverse of a Matrix
Day 44Applications of Determinants and Matrices
Day 45Linear Programming – Introduction
Day 46LPP and Mathematical Formulation
Day 47Probability – Introduction
Day 48Conditional Probability
Day 49Multiplication Theorem
Day 50Independent Events
Day 51Bayes’ Theorem
Note: Each session is 2 hours from 7 PM to 9 PM from Monday to Friday. The course commences from 16th March and focuses on concept clarity, exam-oriented problem solving.