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### General Information, Syllabus, Assessment and Test Dates

### What is this course?

### Objectives

### Student Learning Objectives

- Students will be able to demonstrate the ability to recall accurately definitions of concepts in the course, e.g., Fibonacci numbers, prime numbers, one-to-one correspondence, golden ratio, platonic solids, topological equivalence, Möbius band, Euler circuit, planar graph, fractal.
- Students will be able to demonstrate the ability to prove basic results about fundamental concepts of the course, e.g., the infinity of primes, the irrationality of the square root of a prime, the countability of the rationals, the uncountability of the reals, the Theorem of Pythagoras, the Art Gallery Theorem, an outline of the Brouwer Fixed Point Theorem, the Hot Loop Theorem.
- Students will be able to demonstrate the ability to recognize when and how to apply important theorems.
- Students will be able to demonstrate the ability to work with and devise examples that illustrate basic concepts of the course.
- Students will be able to demonstrate the ability to translate a real life problem into mathematical language and recognize which mathematical tools to apply to solve the problem.
- Students will be able to demonstrate an appreciation for the beauty and power of mathematics.

### Core

### Syllabus

Chapter 1: Fun and Games: An Introduction to Rigorous Thought

Chapter 2: Number Contemplations (2.1 - 2.6)

Chapter 3: Infinity (3.1 - 3.3)

Chapter 4: Geometric Gems (4.1 - 4.5, 4.7)

Chapter 5: Contortions of Space

Chapter 6: Modeling Our World Through Graphs (6.1 - 6.3)

Chapter 7: Chaos and Fractals

### Assessment

1. | Homework and Projects | 25% |

2. | Class participation | 15% |

3. | Tests | 36% |

4. | Final Examination | 24% |

### Test Schedule

Test 1: Friday, February 9

Test 2: Friday, March 9

Test 3: Wednesday, April 18

Final: Wednesday, May 9 at 12 p.m.