# Camp Epsilon: Counting And Probability

At Camp Epsilon, students will explore mathematical ideas focused on Counting and Probability.

## Overview

They will be exposed to a wide range of new mathematical knowledge and a deeper level of understanding in a collaborative environment. The curriculum is designed to include problems from various prestigious national and international math contests. The students will attend lectures, learn problem solving techniques, and work creatively and enthusiastically to tackle challenging problems.

**Dates: July 27 - Aug 07 [2 weeks].**

## Concepts

- Level 1 :
- Counting Numbers
- Venn Diagrams
- The Addition and Multiplication Principle
- Casework
- Complementary Counting
- Basic Probability
- Level 2 :
- Review of Level 1 Concepts
- Permutations
- Combinations
- Pascal's Triangle
- Dependent and Independent Events
- Using Symmetry in Probability
- Introduction to Geometric Probability
- Level 3 :
- Review of Level 2 Concepts
- Harder Combination Problems
- Hockey Stick Identity
- Binomial Theorem
- Basic Distribution - Stars and Bars
- Principle of Inclusion – Exclusion
- Intermediate Geometric Probability
- Expected Value
- Level 4 :
- Review of Level 3 Concepts
- Constructive Counting
- Bijections
- Distributions – Advanced Techniques
- Combinatorial Identities
- Advanced Geometric Probability
- Conditional Probability
- Level 5 :
- Review of Level 4 Concepts
- Recursion
- Fibonacci Numbers
- Generating Functions
- Advanced Conditional Probability
- Mathematical Induction

### Notes

- Campers will be grouped based on assessments into five different levels before the start of the camp and may be moved from one to the other based on their progress during the camp.
- The concepts will be covered at different depth based on the student's comfort level.

## Fees

- $1200 for full day session (2 weeks)
- $800 for half day session (1st half - Counting and Probability - 2 weeks)
- $800 for half day session (2nd half - Contest Preparation - 2 weeks)

### Discount Policy

- The discounts are only applicable in the tuition fee for regular classes and accelerator program (practice sessions) till December 2020
- 10% discount in monthly tuition fee & accelerator program
- Discount starts on 1st of the month after receipt of full payment (e.g. full payment received on February 15, discount starts on March 1st
- Discount ends in the month of December 2020

### Refund Policy

- 80% of camp fee paid (discounts provided would also be deducted)