## MAT118 Calculus II

 Kevin J. CarlinOffice:  Fo 113 MWF 1:00-3:30 Telephone: 7563E-mail: kcarlin@assumption.edu

### Text

Larson and Edwards, Calculus: An Applied Approach, eighth edition, Houghton Mifflin, 2009.

### Electronic Devices

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. 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.

### Homework Journal

For your homework journal, you will need a ring binder and a supply of loose-leaf paper. Spiral-bound notebooks will not be accepted when the journals are collected. See the homework journal page for details.

### Topics

Review: notations for the derivative, differentiation rules, the chain rule.

Transcendental Functions: properties and derivatives of exponential, logarithmic, and trigonometric functions, curve-sketching.

Integral Calculus: anti-derivatives, substitution, Riemann sums, the definite integral, the fundamental theorem, area between curves, volumes of revolution, integration by parts.

Partial Derivatives: functions of several variables, optimization, Lagrange multipliers.

Differential Equations: solutions of differential equations, separation of variables.

There will be four quizzes, two exams (March 4 and April 22), and a cumulative final exam. The homework journal will be collected 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 missed work due to serious illness or other emergency is possible only with prior or immediate notice and will be granted at my discretion. Unexcused absence from any exam will result in a failing grade for the course.

### Learning Objectives

• Students should be able to find derivatives of exponential, logarithmic, and trigonometric functions. They should be able to use derivatives to sketch the graphs of these functions.

• Students should be able to evaluate Riemann sums. They should know the definition of the definite integral. They should understand the meaning of definite integrals in terms of area.

• Students should understand the relationship between definite integrals and derivatives as expressed by the fundamental theorem of Calculus.

• Students should be able to use elementary techniques of integration to find integrals. They should be able to use integrals to solve a variety of problems.

### Course Description

MAT 118 Calculus II
The continuation of MAT 117. Topics to be covered include the definite integral and applications, elementary techniques of integration, partial derivatives, and first-order differential equations. Not open to those who complete MAT 131 or MAT 132. Prerequisite: MAT 117.

The college's academic honesty policy will be enforced as described in the Student Academic Honesty Policy booklet. The use of a graphing calculator or any electronic communication device is a violation of this policy.

Assumption College provides accommodation to any student with documented disabilities. If you believe that you are entitled to accommodation, please contact the Director of Disability Services (ext. 7500).