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Course Information

Instructor Info:Geremias Polanco Encarnacion
TA Info:Shelby Branam
Term: 2014S
Meeting Info: Monday Wednesday Friday
09:00 AM - 10:20 AM Cole Science Center 333
09:00 AM - 10:20 AM Cole Science Center 333
09:00 AM - 10:20 AM Cole Science Center 333
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:

Since this course is a continuation of the study of calculus in context, the general objectives of this course are the same as the initial one:

  • To develop a conceptual understanding of Calculus topics in non-idealized systems.
  • To become proficient at the mechanics of Calculus in idealized systems.
  • To be able to connect and apply topics in Calculus to other interests.
  • To be able to communicate concepts in Calculus.
  • To become proficient at using computational tools.
Evaluation Criteria:

The focus of the evaluation will be the student proficiency and improvement on the course objective. The ideal goal is proficiency. You are expected to strive to accomplish it. You may be seeing the topics studied for the first time, or you may be familiar with some of them. But in any case, you are expected to show substantial improvement on your current conceptual understanding and applications of the subject. The course objectives will be evaluated through the following:

  • Conceptual understanding of Calculus topics in non-idealized systems.
    • In class worksheet problems
    • Homework problem sets
  • To become proficient at the mechanics of Calculus in idealized systems.
    • Homework problem sets
    • In class skills exercises
  • To be able to connect topics in Calculus to other interests.
    • Homework Problems
    • Possible project
  • To be able to communicate concepts in Calculus.
    • In class discussions
    • Project or class presentation
  • To become proficient at using computational tools.
    • Homework problems sets
    • Project

 Students who complete the following are guaranteed an evaluation in the course.

  1. All (no missing more than 2) Homework problem sets on time; HW not completed on time can be turned in with the portfolio but will not be accepted late. The HW must meet the minimum criteria given in the additional information section.
  2. Skills check exercises (in class on scheduled day).  
  3. On time completion of  any project materials
  4. A project presentation if required
  5. A completed course portfolio handed in on April 30 in class.
Additional Info:

Homework 

The purpose of the homework is for you and I to check whether or not you understand the material in the course at the most basic level. You may work with other students but you are expected to submit your homework individually.

It is expected that your submitted homework meets the following minimum criteria:

  • completeness. A serious effort was made at providing solutions to the assigned problems.

  • neatness. Solutions are clearly and neatly written, and stapled (not folded nor wrinkled in a corner) when submitting multiple pages.

  • Solution addresses the problem. All that was asked for in the problem statement is provided in the solution. For problems that call for a specific computation or example (as opposed to an explanation) the answers are clearly written and easy to locate.

  • Level of rigor. Problems that require an explanation or justification are answered with a clear and logical argument written in proper sentences. Additionally, mathematical terminology is used correctly. 

Reading Assignments. You are required to do the assigned reading before coming to class. To profit from the material, you need to do your reading in a mathematical sense. This often requires that you use pen and paper, or computer, to confirm the meaning and/or validity of expressions and statements. It also includes pausing and reflecting on the reading as well as extracting the mathematical principles that are conveyed in the material. 

 

Portfolio

A course portfolio will be handed in on April 30 in class.  It should contain all of the problem sets, skills exercises, and project materials, as well as any other material indicated

 

Non-classroom work-load Expectation: You are expected to work 6 to 10 hours per week outside class. 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.   

 

Software

We will be using the "R" programing language and the "RStudio" work environment. Installation instructions can be found below.

 

TA Hours

TA hours are MW 6-8pm, Th 7-9pm in the Cole Science Center, 3rd Floor Open.