### 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