 # Math 220 (Calculus I) Fall 2017

## Course Description

Math 220, Calculus I, reviews properties of functions and introduces the basic ideas of Calculus. Calculus can be thought of as a sophisticated machine which describes and calculates continuous change. The two main branches are differential calculus (concerning rates of change of functions and slopes of curves) and integral calculus (concerning accumulation of quantities and areas between curves). All of these are first introduced and defined with the notion of a "limit" - the idea of approaching a number/quanity, rather than "plugging in" or "being at" a certain number/quanitity. Investigating properties of these definitions (via their description by a limit) leads to amazingly beautiful and simple formulas that are used for calculations.

Calculus has been historically called "calculus of infinitesimals" or "infinitesimal calculus". Though it was known to be done by Issac Newton and Gottfired Leibniz as early as 1666, the first book of solid definitions and proofs was published by Augustin Cauchy in 1840.

We will cover Chapters 1 - 6 in

• James Stewart, Calculus: Early Transcendentals, 8th edition, with Enhanced WebAssign.
This includes concepts like taking derivatives and integrals of functions, and using this in applications such as Newton's Method, finding min/max values of functions, exponential growth and decay, related rates word problems, linear approximation and differentials, calculating areas between curves and volumes of cylindrical shells..

For most people, calculus is the most challenging math class they have encountered so far. There are a larger number of interrelated concepts than before, and solving a single problem can require thinking about one concept or object in several different ways. Because of this, conceptual understanding is more important than ever, and it is not possible to learn a short list of “problem templates” in lecture that will allow you to do all the HW and exam problems. Thus, while lecture and section will include many worked examples, you will still often be asked to solve a HW problem that doesn’t match up with one that you’ve already seen. The goal here is to get a solid understanding of vector calculus so you can solve any such problem you encounter in mathematics, the sciences, or engineering. That requires trying to solve new problems from first principles, if only because the real world is sadly complicated.

## Documents

• A copy of our syllabus is here.
• Grades will be posted via Moodle here.
• The homework will be completed online via WebAssign
• ## Lecture Notes, Videos, Section Worksheets, Quizzes

These are all posted online in the course diary.

## Exams

• There will be 3 in-class exams held on September 27th, October 25th, and December 6th. You MUST bring your I-card to the exam.
• All material covered during Lecture, Discussion, or Homework may be on the exam. The practice exams below are actual exams from previous years.

• ## Old Exams and Quizzes

• To see olad exams and quizzes for Math 220 dating back to Fall 2012 go here.