Spring 2013 MAT117.01 MWF 12:30 MAT117.02 MWF 1:30

## MAT117 Calculus I

 Kevin J. CarlinOffice Hours: M-F 2:30-4:30 Office: Fo 113  Telephone: 7563E-mail: kcarlin@assumption.edu

### Text

Larson and Edwards, Calculus: An Applied Approach, ninth edition, Houghton Mifflin, 2013.

### Homework Journal

For your homework journal, you will need a ring binder and a supply of loose-leaf paper. The homework journal is intended to be a complete record of your work arranged by topic. Class notes must be kept separately. Homework revisions, practice problems, quiz and exam corrections, and any tutorial work with me or the mathematics tutors should all be included. None of your work should be erased, obliterated, or destroyed so that you will have a true record of your learning experience.

### Calculator Policy

A scientific calculator (TI-30 or equivalent) is required for decimal approximations. Graphing calculators may not be used in this course. The
calculation page has information on calculator use.

### Electronic Devices

An electronic communication device, such as a cell phone or lap-top computer, may not be used as a watch, as a calculator, or for any other purpose. They must be put away and completely deactivated during class.

### Topics

Algebra Review: factoring techniques, fractional algebra.

Limits: limiting values, limit rules, continuous functions.

Derivatives: the limit definition, basic rules, rules for products and quotients, the chain rule, implicit derivatives.

Applications: tangent lines, rates of change, maximum and minimum values, increasing and decreasing functions, concavity, asymptotes, critical points, optimization.

Introduction to Integral Calculus: area, anti-derivatives, integrals.

There will be four quizzes, two exams (March 1 and April 26), and a cumulative final exam. The homework journal will be collected for grading near the end of the semester. Your final grade will be based on 400 points:

 4 Quizzesand Homework Journal Best 4 @ 20 points 80 Exams 2 @ 100 points 200 Final Exam 1 @ 120 points 120 400

Grades are based on partial credit and will be scaled. Typically, the scale is A- = 75%, B- = 60%, C- = 50%, D- = 35%.

Make-up of any graded work due to serious illness or other emergency is possible only with prior or immediate notice and will be granted at my sole discretion.

### Learning Objectives

• Students will understand the limit concept. They should be able to evaluate limits using limit rules and numerical techniques. They will know the definition of a continuous function and its meaning in relation to the graph and should be able to determine the continuity of functions.

• Students will know the definition of the derivative function and be able to find derivatives using the definition. They will understand the meaning of the derivative in terms of tangent lines and rates of change.

• Students will know the techniques of differentiation and be able to use them to find the derivatives of algebraic functions. Students will be able to use derivatives to solve a variety of problems.

### Course Description

MAT 117 Calculus I
An introductory course in differential calculus. Topics to be covered include limits and continuity, the derivative and applications, and an introduction to integration. Not open to those who complete MAT 131. Prerequisite: MAT 114 or department permission through placement.