Click here for last year’s Math Bootcamp (2018)

### Syllabus

### Lecture Notes

### Assignments

Assignments will be posted here on Tuesday evening of each week. I will also post solutions.

Description | Due Date | Assignment | Key |
---|---|---|---|

Univariate calculus | — | Assignment 0 | Assignment 0 Key |

Linear Systems, Matrix Algebra and Set Theory | July 29 | Assignment 1 | Assignment 1 Key |

Set Theory, Proofs and Real Analysis | August 5 | Assignment 2 | Assignment 2 selected solutions |

Optimization and Multivariate Calculus | August 12 | Assignment 3 | Assignment 3 Key |

Mathcamp Final given Summer 2018 | Final Exam 2018 | Final Exam 2018 Key | |

Mathcamp Final given Summer 2019 | August 13 | Final Exam 2019 | Final Exam 2019 Key |

Note: The material in assignment 0 is fair game for the final exam. You should complete these problems to refresh old topics and learn some new ones. However, you do not need to turn this assignment in to me. I will assume your understanding and familiarity with the material during the mathcamp, so please complete your study no later than July 22nd.

### Assignment LaTeX Template

The template file is hw_template.tex (thanks to my colleague Brett Devine). The template is marked with some commented code to know where you type the assignment name, your name and where your answers go.

First, enter the assignment name and your name in the designated fields.

```
\title{Assignment ?}
\author{Jon Doe}
```

Next, for each problem, you can use the custom `{problem}`

environment created in the file. Simply type the following every time start an answer for a new problem.

```
\begin{problem}{?}
Type your answer here.
\end{problem}
```

In the above code, **you need to replace the ?** with the number of the problem. For example, if you are typing your answer to Problem 23, you would type

```
\begin{problem}{23}
Your answer here.
\end{problem}
```

### Course Outline

Below I have provided a *tentative* schedule. Dates as well as topics are subject to change depending on the pace of the course, as well as what I think should be covered.

#### Before coming to mathcamp:

Date | Topics | Readings | Assignments |
---|---|---|---|

Prereqs | Univariate Calculus | S&B 2-5 | Prerequisite assignment to be completed early in the course. |

#### Week 1 (July 22-July 26)

Date | Topics | Readings | Assignments |
---|---|---|---|

22 | Linear Systems and Matrix Algebra | S&B 6-9; Notes | |

23 | Linear Systems and Matrix Algebra | S&B 6-9; Notes | |

24 | Linear Spaces | S&B 10, 11 | |

25 | Set Theory | Provided Notes | |

26 | Logic & Weekly Review | Appendix A1; Provided Notes |

#### Week 2 (July 29-August 2)

Date | Topics | Readings | Assignments |
---|---|---|---|

29 | Proofs | Appendix A1; Provided Notes | Assignment 1 due |

30 | Proofs and Real Analysis | S&B 12; Appendix A1; Provided Notes | |

31 | Real Analysis | S&Provided Notes | |

1 | Real Analysis | Provided Notes | |

2 | Real Analysis & Weekly Review | Provided Notes |

#### Week 3 (August 5-August 9)

Date | Topics | Readings | Assignments |
---|---|---|---|

5 | Real Analysis and Multivariate Calculus | S&B 13-15, 30 | Assignment 2 due |

6 | Multivariate Calculus | S&B 13-15, 30 | |

7 | Multivariate Calculus and Optimization | S&B 13-15, 30 | |

8 | Optimization | S&B 20-21 | |

9 | Envelope Theorem & Weekly Review | S&B 20-21 |

#### Week 4 (August 12-14)

Date | Topics | Readings | Assignments |
---|---|---|---|

12 | Assignment 3 due |
||

13 | Final Exam from 10 AM-12 PM | No Notes |

*S&B ~ Simon & Blume text*