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Tech SkillsJEE Main Calculus Crash Course
calculusIntermediate

JEE Main Calculus Crash Course

Complete JEE Main Calculus Mastery

27 hours
39 lessons
8 modules
0 enrolled

Master JEE Main Calculus with interactive lessons, worked examples, and PYQ revision quizzes

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What you'll learn

  • limits continuity
  • differentiability
  • methods differentiation
  • application derivatives
  • indefinite integration
  • definite integration
Certificate on completion
Interactive code challenges

Course Syllabus

🎯
Module 1

Limits & Continuity

A comprehensive review of limits and continuity, essential for calculus

5 lessons

~180 min

1

Introduction to Limits

4 steps · 20 min

2

Techniques for Evaluating Limits

4 steps · 20 min

3

Sandwich (Squeeze) Theorem

4 steps · 20 min

4

Limits at Infinity

4 steps · 20 min

5

Continuity

4 steps · 20 min

📐
Module 2

Differentiability

Exploring differentiability, its relationship with continuity, and L'Hôpital's Rule

5 lessons

~180 min

1

Definition of the Derivative

3 steps · 15 min

2

Differentiability in Intervals

3 steps · 15 min

3

L'Hôpital's Rule

4 steps · 20 min

4

Higher-Order Derivatives

4 steps · 20 min

5

Relationship: Differentiability and Continuity

3 steps · 15 min

⚙️
Module 3

Methods of Differentiation

Mastering various techniques for differentiating functions

5 lessons

~180 min

1

Basic Differentiation Rules

3 steps · 15 min

2

Product and Quotient Rules

3 steps · 15 min

3

Chain Rule

4 steps · 20 min

4

Implicit Differentiation

4 steps · 20 min

5

Logarithmic and Parametric Differentiation

4 steps · 20 min

📈
Module 4

Application of Derivatives

Applying derivatives to analyze functions and solve optimization problems

5 lessons

~240 min

1

Increasing and Decreasing Functions

3 steps · 15 min

2

Maxima and Minima

3 steps · 15 min

3

Concavity and Points of Inflection

3 steps · 15 min

4

Mean Value Theorems

4 steps · 20 min

5

Approximations Using Differentials

3 steps · 15 min

∫
Module 5

Indefinite Integration

Techniques and methods for finding indefinite integrals (antiderivatives)

5 lessons

~240 min

1

Basic Integration Rules

3 steps · 15 min

2

Integration by Substitution

3 steps · 15 min

3

Integration by Parts

4 steps · 20 min

4

Trigonometric Substitutions

3 steps · 15 min

5

Partial Fractions

3 steps · 15 min

∮
Module 6

Definite Integration

Evaluating definite integrals and understanding their properties

5 lessons

~240 min

1

Definition and Fundamental Theorem

3 steps · 15 min

2

Properties of Definite Integrals

3 steps · 15 min

3

Leibniz Rule

3 steps · 15 min

4

Walli's Formula

4 steps · 20 min

5

Reduction Formulae

3 steps · 15 min

📊
Module 7

Area Under Curves

Calculating areas bounded by curves using definite integration

4 lessons

~180 min

1

Area Between Curve and x-axis

3 steps · 15 min

2

Area Between Two Curves

3 steps · 15 min

3

Area of Standard Curves

3 steps · 15 min

4

Mixed Problems

2 steps · 10 min

🔄
Module 8

Differential Equations

Solving and applying first-order differential equations

5 lessons

~180 min

1

Basic Concepts

3 steps · 15 min

2

Variable Separable Method

4 steps · 20 min

3

Homogeneous Differential Equations

3 steps · 15 min

4

Linear Differential Equations

4 steps · 20 min

5

Bernoulli's Equation and Applications

4 steps · 20 min