Inequality is a basic and easy subtopic of Algebra.

The techniques of Inequality equip us with the technology to solve mathematical problems when the Laws of Equality fail to shed some light on a problem.

Let’s discover the Universe of Inequality!

Course (Module) Offered

Inequality – Theory and Problem Solving Strategies

Course Pre - Requisites
  • Algebraic Manipulation

  • Trigonometry, Euclidean Geometry ( Last Class )

Target Exams
  • Pre-RMO, RMO, INMO, IMO ( India Olympiad )

  • ISI – CMI Entrance ( India Undergraduate Entrance )

  • AMC 8, AMC 10,  AMC 12, AIME, SMO, etc ( USA Olympiad, Non – Indian Olympiad )

Course Information

Course duration

The course duration is 5 – 6 weeks ( 8  – 9 hours )

Course Timing

Sunday 8:30 – 10 pm IST 

Who can attend?

If you are familiar with Numbers and Comfortable with Algebraic Manipulations, you are welcome. Familiarity with Trigonometry and Geometry is a plus.

Course Syllabus
  • Inequality – Importance, Dictionary Inequality, Other Types, and Laws of Inequality

  • Trivial Inequality – Generalization and Applications

  • Basic Inequalities – Triangle Inequality, and Applications

  • AM – GM – HM Inequality – Geometry, Proof, and Applications

  • Cauchy Schwartz Inequality – Geometry, Proof, and Applications

  • Rearrangement Inequality, Nesbit’s Inequality – Applications

  • Inequality Olympiad Problems – Problem Solving Strategies

  • Geometric and Trigonometric Inequalities – proof, and Applications

Course Resources

For enrolled students:

There will be Class Materials, Reading Materials, Quizzes, and Exams.

Book References:

  • Challenges and Thrills of Pre-College Mathematics

  • Excursion in Mathematics

Course Instructor
Srijit Mukherjee, B.Stat (2019), M.Stat (2021)
Indian Statistical Institute
Research Interests – Probability Theory, Dynamical Systems, Discrete Mathematics

Course Content

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