Pennsylvania Institute of Technology
MTH 225
Calculus I
summer 2010
Instructor: G. Gambs, Jr.
E-mail: jgambs@pit.edu
COURSE DESCRIPTION
Students will become familiar with the rectangular and polar systems of coordinates, the principles of analytic geometry and the concept of limits. Students will also use differential calculus to solve practical problems and sketch graphs describing these functions; to use the concept of the differential, its application to integral calculus. Students will be introduce to indefinite and definite integrals. Prerequisite: MTH145 College Algebra and Trigonometry
LEARNING OUTCOMES
Upon completion of the course, MTH 225, the student will be able to:
· Understand the concepts of limits and continuity, and compute limits.
· Use the difference quotient to determine the derivative of polynomial functions.
· Find and evaluate the derivatives of polynomial and rational functions.
· Use the derivative as an instantaneous rate of change between two variables.
· Develop and apply the concept of differentials.
· Find and evaluate the derivatives of trigonometric and inverse trigonometric functions.
· Find and evaluate the derivatives of exponentials and logarithmic functions.
· Use differentiation in applications after exercises in the use of Newton’s Method, L’Hopital’s Rule, and other indeterminate forms.
· Sketch the graphs of various functions; apply optimization, and related rates using differentiation.
· Integrate polynomial functions using the definite and indefinite integrals.
· Integrate transcendental functions: trigonometric, inverse-trigonometric, logarithmic, and exponential.
· Use the sigma notion to evaluate sums.
· Understand and use the Fundamental Theorem of Calculus.
· Use the equations of projectile motion.
REQUIRED TEXTBOOK
Calculus: Early Transcendental Functions, Third Edition by Robert T. Smith and Roland B. Minton
Publisher: McGraw Hill Higher Education
www.mhhe.com
ISBN-13: 978-0-07-286953-8
ISBN-10: 978-0-07-330944-6
Calculus: Transcendental Functions
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ACROSS THE CURRICULUM PROGRAM
The College’s Across the Curriculum program prepares students for academic success by including the following elements in the learning outcomes requirements for this course:
· Computer literacy,
· Information literacy by conducting research,
· Critical thinking,
· Collaborative learning,
· Writing a research-based paper,
· Understanding the importance of ethical behavior,
Assessment of Student Learning
Grading Scale (“QP” – Quality Points)
A 4.00 QP Distinct Achievement
A- 3.67 QP
B+ 3.33 QP
B 3.00 QP Excellent Achievement
B- 2.67 QP
C+ 2.33 QP
C 2.00 QP Satisfactory Achievements
C- 1.67 QP
D+ 1.33 QP
D 1.00 QP Minimal Achievements
D- 0.67 QP
F 0.00 QP Insufficient Achievement
FA 0.00 QP Insufficient Achievement –
Excessive Absenteeism
I 0.00 QP Incomplete
W 0.00 QP Withdrawals
Note: (“I”) Incomplete is a temporary grade. Students are required to petition for this grade by completing the Verification of Incomplete Grade Form. This form must be approved in advance by the instructor and the Dean or Associate Dean of Academic Affairs. It is the sole responsibility of the student to complete the required work no later than 30 days from the last class session or by an earlier date assigned by the instructor.
ACADEMIC POLICIES
1. All students, faculty and staff members are expected to treat each other with the utmost dignity and respect.
2. Students are expected to be on time and prepared for each class.
3. Students are encouraged to actively participate in classroom discussions and activities.
4. Food and drinks are not allowed in classrooms or laboratories except for bottled water.
5. Students are expected to check college-issued email accounts daily.
6. Cellular telephones must be turned off or placed on silent mode prior to entering the classroom
ACADEMIC INTEGRITY
Academic integrity is the pursuit of scholarly activity without fraud and deception. Academic dishonesty includes, but it is not limited to cheating on tests, plagiarizing, and submitting assignments or tests prepared or taken by another person or similar acts. The College expects all students to conduct themselves with the highest degree of academic integrity.
ATTENDANCE
The Instructor will record attendance after each class session. Students are reminded that class attendance is necessary to gain the maximum knowledge from their courses. Students may be dropped from the class by the Instructor due to excessive attendance.
COURSE OUTLINE
Date Topic Reading Assignment
WEEK
CHAPTER SECTION AND TOPIC
PAGE
PROBLEMS
Practice and study these problems only.
Homework problems will be assigned as needed.
1
2
3
4
5
6
7
8
9
Chapters 0 (Optional)
Preliminaries.
Digress as needed.
Chapter 1
Limits and Continuity
Sections: 1-1 through 1-6
Digression: Sections 0-0.1 through 0-0.3. take home test (Optional)
Test 1
To cover Chapter 1
.
Chapter 2
Differentiation
Sections: 2-1 through 2-9.
Digression: Sections 0-0.3 through 0-0.5
Test 2
Chapter 3
Application of Differentiation
Sections: 3-1 through 3-8.
Test 3 Mid term
To cover Chapter 3.
Chapter 4
Integration
Sections: 4-1 through 4-.
Test 4
To cover Chapter 4-1 through 4-5
Chapter 5
Application of the Definite Integration
Sections: 5-5, 5-6 and 5-7.
Test 5
To cover Chapter 5-5 through 5-7
11-72
73-121
141-43
145-235
236-238
241-338
343-426
426-429
472-505
507
Every other odd problem 1, 5, 9…, 51.
Every other odd, 1, 5, 9… 83.
Every other odd, 1, 5, 9… 55.
Every other odd, 1, 5, 9… 59
Every odd, 25, 27, 29… 47.
16
Final Exam Comprehensive!
Specific Course Policies
Course Policies:
The following is a list of policies to be followed by all students:
Attendance in this course is essential. In accordance with school policy, anyone who is absent more than 25% of the classes will be recommended for dismissal and received a grade of “FA”.
Students whose outside work or home schedules will not permit them to meet at regular class hours are required to arrange tutoring schedules with Student Services, submit all home-work, take all in-class tests, and meet at appointed times for lab work.
· Promptness is required: Students entering classroom after roll-call will be graded as tardy.
· Students are permitted to work as a group on all take-home assignments.
· Papers submitted after due date will be deducted ten points per class day.
· Amid-term exam is included in the seven tests.
· Final exam papers will not be returned unless the grade is challenged.
· There will be no eating, drinking, or smoking in the classroom.
· Mobile phone will be set to off during class period.
Modifications to Course Outline
The Instructor from time to time may modify the course outline.
(This disclaimer enables the Instructor to modify the course outline)
Jerry Gambs
Program Manager, Mechanical Engineering
Pennsylvania Institute of Technology
800 Manchester Avenue
Media, PA 19063
(610) 892-1583
jgambs@pit.edu
www.pit.edu
