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IIT JEE Mathematics Foundations

Welcome to IIT JEE Mathematics: Inequalities, Modulus & Logarithms, a comprehensive course designed to help you master three of the most important topics in the IIT JEE Mathema...

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Published 2026 · Last updated Aug 2026

IIT JEE Mathematics Foundations

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Course overview

Course Overview

Welcome to IIT JEE Mathematics: Inequalities, Modulus & Logarithms, a comprehensive course designed to help you master three of the most important topics in the IIT JEE Mathematics syllabus. Whether you are preparing for IIT JEE Main, IIT JEE Advanced, or other engineering entrance examinations, this course provides a strong conceptual foundation and a systematic approach to problem-solving.


The course begins with the fundamentals of Mathematical Inequalities, Modulus, and Logarithms, and gradually progresses to advanced IIT JEE-level applications. Each concept is explained in a clear, step-by-step manner with solved examples, shortcut techniques, and extensive practice questions. You will learn how to analyze complex problems, apply mathematical concepts effectively, and improve both speed and accuracy for competitive examinations.


By the end of this course, you will have the conceptual clarity and confidence required to solve challenging algebraic problems and strengthen your overall performance in IIT JEE Mathematics.

Learning Outcomes

Master the concepts of Mathematical Inequalities, Modulus, and Logarithms from basic to advanced levels.

Solve IIT JEE Main and Advanced level algebraic problems with speed and accuracy.

Apply analytical and logical reasoning to complex mathematical questions.

Develop strong problem-solving techniques for competitive examinations.

Build a solid foundation for advanced mathematics and engineering entrance exams.

Apply shortcut techniques, time management strategies, and exam-oriented approaches to maximize your performance in the IIT JEE Mathematics examination.

What you walk away with

Career Map & Skills You Gain

Every course adds to three macro skills. Log in to swap platform averages for your own numbers.

Financial skills

62th

percentile

Your salary vs. learners in these roles

After this course+14 pts → 76th

Competitive Exams Specialist

78% course score

+8

Project Contributor

66% course score

+7

Independent Practitioner

61% course score

+6

Employability skills

71th

percentile

Quiz scores from the courses you finish

After this course+18 pts → 89th

Master the concepts of Mathemati...

64% course score

+6 pts

Solve IIT JEE Main and Advanced...

70% course score

+7 pts

Apply analytical and logical rea...

76% course score

+8 pts

Develop strong problem-solving t...

82% course score

+8 pts

Life skills

48th

percentile

Life-skill test scores after each course

After this course+11 pts → 59th

Critical thinking

76% course score

+8 pts

Decision-making

71% course score

+7 pts

Analytical mindset

68% course score

+7 pts

Curriculum

3 modules · 112 lessons · 14 hr 30 min

Each module pairs the hand calculation with the same analysis in Excel, SPSS, R and Python.

Inequation: Basic Mathematics Introduction
Preview
7:36
Inequation: Mathematical Symbols
3:56
Inequation: Types of Intervals
9:30
Inequation: Intervals on the Number Line
5:58
Inequation: Basic Concepts for Solving Inequation
5:37
Quadratic Inequation: Introduction
5:09
Quadratic Inequation: Introduction 2
3:36
Cubic Inequation: Introduction
6:22
Cubic Inequation: Example
5:15
Wavy Curve Method: Introduction
9:28
Wavy Curve Method: Derivation
9:49
Wavy Curve Method: Example 1
2:06
Wavy Curve Method: Example 2
2:08
Wavy Curve Method: Example 3
2:12
Wavy Curve Method: Example 4
4:33
Wavy Curve Method: Example 5
6:11
Wavy Curve Method: Sridharacharya Method
4:39
Wavy Curve Method: Sridharacharya Method Example 1
3:44
Wavy Curve Method: Sridharacharya Method Example 2
4:43
Wavy Curve Method: Factorization of Higher Degree Polynomial
8:56
Wavy Curve Method: Quadratic Equation having no Real Roots
7:47
Wavy Curve Method: Quadratic Equation having no Real Roots Example 1
2:11
Wavy Curve Method: Miscellaneous Problem 1
13:36
Wavy Curve Method: Miscellaneous Problem 2
3:04
Wavy Curve Method: LHS includes Square of a Linear Factor
5:47
Wavy Curve Method: LHS includes Square of a Linear Factor Example 1
1:32
Wavy Curve Method: LHS includes Square of a Linear Factor Example 2
1:05
Wavy Curve Method: LHS includes Square of a Linear Factor Example 3
5:41
Wavy Curve Method: LHS includes Square of a Linear Factor Example 4
7:06
Wavy Curve Method: Type 2
8:18
Wavy Curve Method: Type 2 Example 1
2:37
Wavy Curve Method: Type 2 Example 2
6:03
Wavy Curve Method: Type 2 Example 3
6:28
Wavy Curve Method: Type 2 Example 4
5:10
Wavy Curve Method: Type 2 Example 5
6:22
Wavy Curve Method: Type 2_Higher Power of any Factor
11:17
Wavy Curve Method: Type 2_Higher Power of any Factor Example 1
7:45
Wavy Curve Method: Type 2_Higher Power of any Factor Example 2
9:45
Wavy Curve Method: Type 2_Higher Power of any Factor Example 3
21:30
Wavy Curve Method: Type 2_Higher Power of any Factor Example 4
10:31
Power of Number: Introduction 1
10:54
Power of Number: Introduction 2
11:57
Power of Number: Example 1
10:29
Power of Number: Example 2
3:59
Power of Number: Example 3
1:29
Power of Number: Example 4
8:36
Power of Number: Example 5
9:10
Power of Number: Example 6
8:54
Power of Number: Example 7
10:15
Power of Number: Example 8
4:26
Exponential Expression: Introduction
8:17
Graph of Exponential Expression 1
14:22
Graph of Exponential Expression 2
7:21
Exponential Inequalities
8:24
Exponential Inequalities Example 1
1:36
Exponential Inequalities Example 2
1:52
Exponential Inequalities Example 3
1:29
Exponential Inequalities Example 4
13:29
Exponential Inequalities Example 5
11:48
Exponential Inequalities Example 6
10:07
Exponential Inequalities Example 7
2:13
Exponential Inequalities Example 8
2:54
Exponential Inequalities Example 9
3:00
Exponential Inequalities Example 10
3:26
Exponential Inequalities Example 11
8:43
Exponential Inequalities Example 12
6:07
Squaring of an Inequality
5:36
Squaring of an Inequality: Example 1
12:45
Squaring of an Inequality: Example 2
7:53
Reciprocal of an Inequality
Preview
6:37
Interval of a Square of a Number
12:30
Find the Interval of a Reciprocal of a Number 1
11:09
Find the Interval of a Reciprocal of a Number 2
4:56
Solving Two Inequalities Simultaneously
6:20
Modulus: Introduction
Preview
10:02
Modulus: Equation (having one modulus expression)
9:17
Modulus: Equation (having one modulus expression) Example 1
1:55
Modulus: Equation (having one modulus expression) Example 2
4:40
Modulus: Equation (having one modulus expression) Example 3
4:08
Modulus: Equation (having two modulus expression)
15:34
Modulus: Equation (having two modulus expression) Example 1
8:55
Modulus: Equation (having two modulus expression) Example 2
11:20
Modulus: Equation (having two modulus expression) Example 3
25:25
Modulus: Equation (having two modulus expression) Example 4
24:34
Solving of modulus inequation having one modulus expression
6:53
Solving of modulus inequation having one modulus expression: Example 1
4:17
Solving of modulus inequation having one modulus expression: Example 2
2:24
Solving of modulus inequation having one modulus expression: Example 3
10:52
Solving of modulus inequation having two modulus expression
3:57
Solving of modulus inequation having two modulus expression: Example 1
7:42
Solving of modulus inequation having two modulus expression: Example 2
23:58
Solving of modulus inequation having two modulus expression: Example 3
12:42
Solving of modulus inequation having two modulus expression: Example 4
17:07
Solving of modulus inequation having three modulus expression example 5
12:37
Graph of a modulus function: 1
8:34
Graph of a modulus function: 2
9:22
Logarithmic Introduction
Preview
10:46
Logarithmic Introduction Part 2
5:56
Logarithmic Domain
7:45
Logarithmic Domain; Example 1
2:26
Logarithmic Domain; Example 2
1:32
Logarithmic Domain; Example 3
6:47
Logarithmic Domain; Example 4
4:59
Logarithmic Domain; Example 5
3:37
Logarithmic Domain; Example 6
12:27
Logarithmic Properties: 1
10:15
Logarithmic Properties: 2
11:02
Logarithmic Properties: 3
12:09
Simplify logarithmic expression using properties 1
Preview
8:37
Simplify logarithmic expression using properties 2
11:54
Simplify logarithmic expression using properties 3
7:51
Miscellaneous problem 1 on simplifying logarithmic expression
6:56
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An experienced and passionate instructor, [Name] is dedicated to fostering a dynamic and engaging learning environment where students feel motivated to grow both academically and personally. With a strong foundation in their subject area, they bring clarity, structure, and enthusiasm to every lesson, ensuring complex concepts are made accessible and relevant. Their teaching approach blends theoretical knowledge with practical application, encouraging students to think critically and develop problem-solving skills. Known for their supportive and approachable demeanor, [Name] builds meaningful connections with students, understanding that each learner has unique strengths and challenges. They are committed to creating an inclusive classroom atmosphere where curiosity is encouraged, questions are welcomed, and every student feels valued. By adapting teaching methods to suit diverse learning styles, they help students gain confidence and achieve their full potential. Beyond the classroom, [Name] is deeply invested in continuous learning and professional development, staying updated with the latest educational practices and advancements in their field. They often contribute to curriculum development, mentorship programs, and extracurricular activities, reinforcing their role as not just an instructor, but a mentor and guide. Their ultimate goal is to inspire lifelong learning and empower students to succeed in an ever-evolving world.

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Mr. Parivartan is a renowned Mathematics educator with over 12 years of teaching experience in preparing students for IIT-JEE and other engineering entrance examinations. He holds a B. Tech. in Computer Science & Engineering and an MBA from Delhi Technological University (DTU). Having taught at some of India's leading IIT-JEE coaching institutes, he has mentored thousands of aspirants to build a strong foundation in Mathematics and achieve outstanding results. Known for his exceptional conceptual clarity and problem-solving techniques, Parivartan Sir simplifies complex mathematical concepts through logical explanations, innovative shortcuts, and exam-oriented strategies. His engaging and student-focused teaching methodology helps learners develop analytical thinking, improve speed and accuracy, and confidently tackle challenging problems. Passionate about nurturing future engineers, he is committed to empowering students with the knowledge, confidence, and skills needed to excel in IIT-JEE and other competitive examinations.

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Yes. A verifiable certificate of completion is issued when you finish the course requirements.

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