Instructor Info: | Sarah Hews Office Extension x5414 |

TA Info: | Amber Bonarrigo |

Term: | 2013S |

Meeting Info: | |

09:00 AM - 10:20 AM Cole Science Center 316 |

09:00 AM - 10:20 AM Cole Science Center 316 |

09:00 AM - 10:20 AM Cole Science Center 316 |

**Description:**This course extends the concepts, techniques and applications of an introductory calculus course. We'll detect periodicity in noisy data, and study functions of several variables, integration, differential equations, and the approximation of functions by polynomials. We'll continue the analysis of dynamical systems taking models from student selected primary literature on ecology, economics, epidemiology, and physics. We will finish with an introduction to the theory and applications of Fourier series and harmonic analysis. Computers and numerical methods will be used throughout. In addition to regular substantial problem sets, each student will apply the concepts to recently published models of their choosing. Pre-requisite: Calculus in Context (NS 260) or another Calc I course.

**Course Objectives:**There are several course objectives:

- To learn mathematical techniques that are traditionally in a Calc 2 course (integrals, FTC, functions of several variables, series and sequences).
- To learn about applications with periodicity, dynamical systems, and functions of several variables.
- To become familiar with basic programming in Sage (Python).

**Evaluation Criteria:**You will be evaluated on the following:

- Weekly preparation (on Moodle as quizzes) due on Mondays.
- Weekly assignments due on Fridays.
- Being an active class participant (includes attendance, participating in discussions, working with classmates).

**Additional Info:****Course Expectations**

I expect that you will need to spend between 6-10 hours a week outside of class developing your understanding of Calculus. Organizing your time wisely and staying on top of assignments will allow you to really learn the material. Working with other students is encouraged - remember, teaching someone else is the best way to test your understanding. Improvement is the most important thing.

**Course Materials**

All course materials will be posted on Moodle. The book that we will be using is online at http://www.math.smith.edu/Local/cicintro/cicintro.html. Since we will be using computers for simulations, you do not need a scientific calculator.

**Software**

We will be using Sage, a python-based software system. I will need to assign you a username/password (your username will be your standard Hampshire login) before you can access the worksheets at sage.hampshire.edu.

**Amber's Office Hour**s

Amber will hold office hours 4-6 PM on the bridge.