Fall 2011 MAT131.00 Honors  TTR 10:00

## MAT131 Elementary Calculus I

 Kevin J. CarlinOffice:  Fo 113 MWF 3:00-4:30 Telephone: 7563E-mail: kcarlin@assumption.edu

### Text

James Stewart, Essential Calculus, first edition, Brooks/Cole, 2007.

### Calculator Policy

A scientific calculator (TI-30X 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

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

### Topics

Preliminaries: absolute value, trigonometric functions and identities.

Limits: the formal definition of a limit, rules for limits, infinite limits, continuous functions.

Derivatives: the derivative function, basic rules, rules for products and quotients, trigonometric derivatives, the chain rule, implicit differentiation.

Applications: tangent lines, rates of change, extreme values, the mean value theorem, curve sketching, optimization problems.

There will be five quizzes, two exams (October 13 and December 1), and a cumulative final exam. Your final grade will be based on 400 points:

 Quizzes 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 discretion.

### Learning Objectives

• Students should understand the limit concept. They should know the formal definition of a limit and be able to verify simple limits using the definition. They should be able to evaluate limits using limit rules.

• Students should know the definition of a continuous function and its meaning in relation to the graph of the function. They should be able to determine the continuity of functions.

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

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

### Course Description

MAT 131-132 Elementary Calculus
A more rigorous introduction to calculus for entering students with good backgrounds in mathematics. Recommended for students considering a major in mathematics. Topics include the real numbers, functions, limits, the derivative and applications, the integral and applications, and techniques of integration. Not open to those who complete MAT 117 or MAT 118. Prerequisite: Departmental permission through placement.