MANOR COLLEGE
JENKINTOWN, PENNSYLVANIA

___Jane R. Zegestowsky______________ _____Spring 2008____

Instructor’s Name Semester/Year

Division Office: Allied Health/ Science/Math Office: 215-885-2360 ext. 223

Office Hours:___________________________ e-mail: jzegestowsky@manor.edu

Course Number/Title/Credit Hours: MH 202 H Calculus II / 3 credits

Course Description:

This course is a continuation of MH 201 and includes the following: the fundamental theorem of calculus, applications of the definite integral, exponential and logarithmic functions, trigonometric functions, differentiation and integration of trigonometry functions, integration techniques and improper integrals.

Pre-requisite: MH 201

Course Philosophy:

In our highly technical society, success in any field requires well-developed analytical and quantitative skills; one important skill is an understanding of differential and integral calculus. This course is designed to enable students to apply basic methods of calculus in the analysis and solution of a variety of problems in a variety of fields.

Course Objectives:

A student completing this course will be able to:

• Apply the properties of definite integrals
• Construct antiderivatives graphically, numerically and algebraically
• Apply the fundamental theorem of calculus
• Integrate by substitution
• Integrate by parts
• Use a table of integrals
• Evaluate Improper Integrals
• Apply definite integrals to examples from geometry, physics, economics and probability
• Solve basic differential equations
• Approximate functions by polynomials
• Use a graphing calculator to accomplish the above objectives

Student Outcome: The student will be able to apply the skills learned in calculus class to interpret, graph and solve problems based on applications from physics, economics, medicine and other disciplines

Measure: Given a set of real-life situations, the student will be able to analyze the given information, interpret it mathematically, and apply the concepts of calculus to answer a series of questions and draw conclusions about the given data.

Standard: The student will provide at least 70% of the requested information. The interpretations will be sustainable and the calculations accurate.

Outcome 2: The student will be able to communicate mathematical concepts in both oral and written format

Measure: Students will choose an application of integral calculus. He/She will research the application and give an oral presentation which includes and explanation of the mathematical concept and the application in his/her chosen field.

Standard: Students will give a presentation which is mathematically correct. The presentation will be clear, concise, and precise. 70% of the students will earn a C or better in the oral presentation.

Outline of Course Content:

Chapter 5: Integrals

• Review of Derivatives and Basic Techniques of Integration
• Review of the Fundamental Theorem of Calculus
• Indefinite Integrals
• Substitution Rule for Integration
• Web Assignment

Chapter 6: Application of Integration

• Areas between curves
• Volumes
• Work
• Average Value of a Function
• Web Assignment

Chapter 8: Techniques of Integration

• Integration by Parts
• Trigonometric Integrals
• Integration of Rational Functions by Partial Fractions
• Integration using Tables
• Approximate Integration
• Improper Integrals

Chapter 7: Inverse Functions

• Exponential Functions and Their Derivatives
• Logarithmic Functions
• Indeterminate Forms and L’Hospital’s Rule (pg. 493-501)
• Web Assignment

Chapter 9: Applications

• Selected applications from Physics, Economics, Biology, Probability
• Web Assignment

Chapter 10: Differential Equations

• Selected Topics in Applications

Approaches to Teaching:

Instruction will include lectures based on information in the text, sample problems, question and discussion periods, cumulative review, cooperative learning situations both in and out of the classroom, and a required project. Time will be given to demonstrations of calculator applications. Supplemental material will be provided.

Students are expected to come for individual help when necessary, work with a tutor in the learning center, and locate helpful sites on the internet to augment classroom lectures and activities.

Procedures for Evaluation and Grading:

Test 1 …………………..25%

Mid-Term/Project………25%

Oral Presentation……….25%

Final……………….……25%

Letter Grades have the following equivalents:

0 - 59 = F

60 - 69 = D

70 - 79 = C

80 - 89 = B

90 - 100 = A

Attendance:

Since class participation, and the dialogue it generates, is an important aspect of the learning process, frequent absences will be detrimental to the class as a group and may well have a negative effect on the performance of the absent student. Frequent absences will have a negative effect on a student’s evaluation.

Materials Used:

Text: Single Variable Calculus, 6^th edition by James Stewart

ISBN# 978-0-495-01161-3

Graphing Calculator

Academic Honesty Policy:

Manor College expects that its students will uphold the principles of truth and honesty in the performance of all academic work. Plagiarism (the unacknowledged use of another person’s words or assistance) and academic cheating (falsifying data, submitting without instructor’s approval work in one course which was done for another, actually doing another student’s work, and/or the use of any unauthorized aid) are prohibited.

Digital plagiarism (cutting, pasting and copying sections of an article written by another; downloading papers from a “paper mill” web site and submitting as work written by the student; utilizing any graphics or audio or video clips without permission; and submitting any work with an electronic source without correct citation)is strictly prohibited and a violation of fair use and intellectual property rights.

The Academic Dean will be formally notified of any violation of this policy. The penalty for the first violation will be a grade of “F” for the assignment. Any subsequent violations will result in a grade of “F” for the course and possible dismissal from the college.