Part 1 Concepts, Exercises, and Problems The Spotlight is on: Impossible Ancient Greek Problems 1.1 Counting I 1.2 Pascal's Triangle and Binomial Coefficients 1.3 Probability I 1.4 Mathematical Induction 1.5 Problem Set 1 The Spotlight is on: Pascal's Sharing Problem 1.6 Counting II 1.7 Probability II 1.

8 Fibonacci Numbers 1.9 Pigeonhole Principle 1.10 Problem Set 2 The Spotlight is on: Buffon's Needle and ? 1.11 Quadratic Equations 1.12 Algebraic Expressions 1.13 Systems of Linear Equations 1.14 Inequalities 1.15 Problem Set 3 The Spotlight is on: Solution of Equations in Radicals 1.

16 Angle Chasing I 1.17 Angle Chasing II 1.18 Geometry of Triangles I 1.19 Geometry of Triangles II 1.20 Problem Set 4 The Spotlight is on: Euclid's Pons Asinorum 1.21 Dissection Time 1.22 Dissections Again 1.23 Equilateral vs Equiangular 1.

24 Combinatorial Geometry 1.25 Problem Set 5 The Spotlight is on: Bertrand's Paradox 1.26 Around the Division Algorithm 1.27 Least Common Multiple 1.28 Nice Numbers 1.29 Problems Involving 2016 1.30 Problem Set 6 The Spotlight is on: Perfect Numbers Part 2 Solutions to Problems 2.1 Counting I 2.

2 Pascal's Triangle and Binomial Coefficients 2.3 Probability I 2.4 Mathematical Induction 2.5 Problem Set 1 2.6 Counting II 2.7 Probability II 2.8 Fibonacci Numbers 2.9 Pigeonhole Principle 2.

10 Problem Set 2 2.11 Quadratic Equations 2.12 Algebraic Expressions 2.13 Systems of Linear Equations 2.14 Inequalities 2.15 Problem Set 3 2.16 Angle Chasing I 2.17 Angle Chasing II 2.

18 Geometry of Triangles I 2.19 Geometry of Triangles II 2.20 Problem Set 4 2.21 Dissection Time 2.22 Dissections Again 2.23 Equilateral vs Equiangular 2.24 Combinatorial Geometry 2.25 Problem Set 5 2.

26 Around the Division Algorithm 2.27 Least Common Multiple 2.28 Nice Numbers 2.29 Problems Involving 2016 2.30 Problem Set 6.