MATH 1316 001

Calculus for Mid-level Educators

Spring 2009

Instructor: Meri Hughes Florence

Day and Time: MW/ 11:00 – 12:20 am

Location: PKH 308

E-Mail:

Office: PKH 410

Office Hours: MW/ 10:00 – 11:00 and by appointment

Course Description: (3 hours credit) This course serves to introduce the basic concepts of calculus to middle level teachers. The primary goal is to help teachers develop a fundamental understanding of the key mathematical ideas in calculus in order to broaden their mathematical perspective and gain insight into the topics in the middle level curriculum which are related and foundational to its development. Participants will develop conceptual knowledge of the processes of differentiation and integration, an understanding of their applications, and an understanding of the relationship between the two processes.

Text:Calculus Connections, Mathematics for Middle School Teachers by Harcharras and Mitrea, Pearson, 2007. Scientific or graphing calculator required.

Grade Breakdown:

Homework / Worksheets20%

Exam #120%

Exam #220%

Exam #320%

Final Project10%

Class Participation10%

Homework: You will be assigned homework after each class period. It will generally consist of exercises from the textbook, or additional exercises. Along with the in-class worksheets, these should be collected and organized neatly in a binder, to be collected and graded at various dates in the semester. You are strongly encouraged to participate in group work, however, individual written work must be submitted.

Exams: Tentatively, the exams will take place:

Feb. 18th

March 30th

April 29th

Final project: In lieu of a final exam, you will write a paper on one of the topics covered in the course, and present your results to the class in the final week of the semester. Details of this project will be discussed later in the course

Class participation: Much of class time will be spent working in groups on problems and ideas to develop the fundamental ideas of calculus and to understand their connections to the middle school curriculum. You are expected to take an active role in the class, participating in activities and discussions. This can mean asking questions, contributing suggestions to daily discussions, and presenting problems to the class. For this reason, attendance is particularly important. If you are not present, you will not be able to make up the class by merely reading the textbook.

Grading Policy: 90 – 100A

80 – 89B

70 – 79C

60 – 69D

< 60F

AMERICANS WITH DISABILITIES ACT: The University of Texas at Arlington is on record as being committed to both the spirit and letter of federal equal opportunity legislation; reference Public Kaw 93112—The Rehabilitation Act of 1973 as amended. With the passage of new federal legislation entitled Americans with Disabilities Act (ADA), pursuant to section 504 of the Rehabilitation Act, there is renewed focus on providing this population with the same opportunities enjoyed by all citizens. As a faculty member, I am required, by law to provide “reasonable accommodation” to students with disabilities, so as not to discriminate on the basis of that disability. Student responsibility primarily rests with informing faculty at the beginning of the semester and in providing “authorized documentation” through designated administrative channels.

ACADEMIC DISHONESTY: It is the philosophy of The University of Arlington that academic dishonesty is a completely unacceptable mode of conduct and will not be tolerated in any form. All persons involved in academic dishonesty will be disciplined in accordance with University regulations and procedures. Discipline may include suspension or expulsion from the University. “Scholastic dishonesty includes but is not limited to cheating, plagiarism, collusion, the submission for credit of any work or materials that are attributable in whole or in part to another person, taking an examination for another person, any act designed to give unfair advantage to a student or the attempt to commit such acts.” (Regents’ Rules and Regulations, Part One, Chapter VI, Section 3, Subsection 3.2, Subdivision 3.22)

STUDENT DISRUPTION: The University reserves the right to impose disciplinary action for an infraction of University policies. For example, engagement in conduct, alone or with others, intended to obstruct, disrupt, or interfere with, or which in fact obstructs, disrupts, or interferes with, any function or activity sponsored, authorized by or participated in by the University.

Effective Fall 2006 and Thereafter

Grade Replacement Policy: This policy may be utilized by any student who has already completed a grade replacement for one or more courses at UT Arlington before the first day of classes for Fall 2006. The grade replacement policy is as follows: Upon receiving a grade of D or F in a course, a student may, after filing an intent to do so, replace the grade by repeating the course. The second grade earned, whether higher or lower, will be used in calculating the grade point average unless the second grade is a W. This policy applies only the second time a course is attempted. Both grades received will be shown on the student’s transcript. This policy will apply to a maximum of 10 credit hours at UT Arlington. Courses transferred for credit to UT Arlington from another college or university may not be repeated for credit. Students must file their intention to replace a grade with the Office of Records (Registrar). This policy will not apply to courses that may be repeated for credit nor to courses taken on a pass/fail basis. This policy is not applicable to graduate students and is not retroactive in that a grade in a course taken prior to adoption may be replaced, but a grade earned in a course prior to adoption (fall 1995) may not be used as a replacement. Individual colleges and schools may limit this policy. Students may not apply this policy to grades of D or F which result from disciplinary action. Students who have already completed a grade replacement for one or more courses at UT Arlington are not eligible to utilize the grade exclusion policy.

MATH 1316

Class Schedule

1/145.1Exponential Functions

1/165.2Logarithmic Functions

1/185.3Solutions of Exponential Equations

1/236.1Simple Interest; Sequences

1/256.2Compound Interest

1/286.3Future Value of Annuities

1/306.4Present Value of Annuities

2/16.5Loans and Amortization

2/4Exam 1 Review

2/6Exam 1

2/89Introduction

2/119.1Limits

2/139.2Continuous Functions

2/159.3The Derivative

2/189.4Derivative Formulas

2/209.5The Product Rule and the Quotient Rule

2/229.6The Chain Rule and the Power Rule

2/259.6Continued

2/279.7Using Derivative Formulas

2/299.8Higher-Order Derivatives

3/39.9Applications in Business

3/5Exam 2 Review

3/7Exam 2

3/1010.1Relative Maxima and Minima

3/1210.2 Concavity

3/1410.2Continued

3/2410.3Optimization

3/2610.4Applications of Maxima and Minima

3/2811.1Derivatives of Logarithmic Functions

3/3111.2Derivatives of Exponential Functions

4/211.5Applications in Business

4/412.1The Indefinite Integral

4/712.2The Power Rule

4/9Exam 3 Review

4/11Exam 3

4/1412.3Exponential and Logarithmic Integrals

4/1612.4Applications

4/1812.4Applications

4/2113.1Area Under a Curve

4/2313.2The Definite Integral

4/2513.3Area Between Two Curves

4/2813.4Applications

4/30Final Review

5/2Final Review