Wake Technical
Community College
Mathematics and Physics Dept.
Mathematics and Sciences Division
Course Syllabus
Fall
2009
Course
MAT 263/A.4271
Description
Brief Calculus
LECTURE
3
LAB
2
CREDIT
4
This course introduces concepts of differentiation and integration and their applications to solving problems. The course is designed for students needing one semester of calculus. Topics include functions, graphing, differentiation, and integration with emphasis on applications drawn from business, economics, and biological and behavioral sciences. Upon completion, students should be able to demonstrate an understanding of the use of basic calculus and technology to solve problems and to analyze and communicate results. This course has been approved to satisfy the Comprehensive Articulation
Agreement general education core requirement in natural sciences mathematics.
Note: This course does not count toward the mathematics requirements of the Associate of Science Program.
Lab Description:
Corequisites
MAT 263A is a laboratory and a required corequisite for MAT 263. Emphasis is placed on experiences that enhance the materials presented in the class. Upon completion, students should be able to solve problems, apply critical thinking, work in teams, and communicate effectively. The student must be registered for and attend both MAT 263 and MAT 263A in order to receive credit
Allocation of Lab Time:
The lab time will be incorporated into the class schedule allowing more time for Instruction.
Pre/Co requisites
A student must have completed MAT 161 or have a satisfactory score on the mathematics placement instrument to stay enrolled in the class. Instructors may at any time drop a student from the roll who has not fulfilled this requirement.
Students who have not met the prerequisite(s) may not remain registered for this course. Talk with the instructor about possible issues.
Required Textbook(s)
APPLIED CALCULUS 4 th edition
Waner/Costenable Brooks and Cole
ISBN# 0-495-45348-2
Required Technology
Access to WebAssign is required for this course. The spreadsheet package
MS Excel (provided on the computers in the classroom & in WTCC labs) is an integral part of this course and textbook. Students will be expected to do
WebAssign and Excel homework assignments outside of class; therefore students should have access to WebAssign, Excel, Blackboard and the web outside of class. Excel will be included on tests. No Calculators will be allowed on the tests.
The last date for withdrawing from the course without penalty is October 28, 2009.
Additional departmental policy information for the student can be found at: http://mathandphysics.waketech.edu/pol-attendance.php /
Additional Learning Resources
(1) Course instructors are available during office hours.
(2) The Individualized Learning Center (ILC), is located in ILC Building. This facility provides tutors free of charge.
(3) The Wake Technical Community College Mathematics Department has produced video tapes on various topics covered in this course. If a lecture is missed or you need further help on some material you may view these tapes located in the ILC.
(4) Peers are a good source for help. Study groups are encouraged and can meet regularly in the mathematics lab in the ILC.
For the Student:
Instructor’s Name Office Number Office Hours Phone # Email address
John Bakken BD 459
Monday: 10 – 11
Wednesday: 2 – 3
Thursday: 4 – 6
Friday: 10:30 – 11:30
532-5637 jrbakken@waketech.edu
Department’s Web Site: http://mathandphysics.waketech.edu/index.php
Updated 7.24.09

Attendance:
The college attendance policy, as stated in the General Catalog, will be followed. No make-up tests or quizzes or projects will be given except in extenuating circumstances. In this case, arrangements must be made with the instructor in advance of the absence. No assignment will be accepted late.
Attendance includes being actively engaged in the learning activities of the class: NO CELL
PHONES OR PERSONAL INTERNET USE ALLOWED IN
Homework and Quizzes
Assignments will be made based upon topics covered as indicated on the course schedule found below. These assignments will be considered a minimum amount of work that students should do daily. Completing each assignment will be crucial for success in the course. Homework may be collected and graded at the discretion of the
CLASS . In addition, as stated in the Student Handbook, tardies and early departures not justified to the satisfaction of the instructor individual instructor. Also, quizzes will be given during the semester. will be equated to absences at a rate of one absence per two tardies and/or early departures.
Grading System
There will be three tests and a comprehensive final exam. The three tests will each be worth 100 points and the final exam will count 100 points for a total of 400 points. There will be two skill tests worth 50 points each that counts for 100 points. Quizzes and homework (and/or attendance) will combine for another 100 points, and projects will count 100 points making a course total of 700 points. Grading will be on a 10-point scale. The final exam grade may be used to replace the lowest test grade.
Goals of the Course
1.
Students will master the material outlined in the syllabus.
2.
Homework and class work activities will increase the problem solving skills of the students.
3.
Students will appreciate the applications found in material covered in this course.
4.
Students will learn to communicate their thoughts and ideas regarding mathematics.
An Additional Word on Course Goals
The goals of this class extend beyond simply getting students to acquire mathematical skills. Students need to be able to use those skills in the workplace or for their own benefit. Thus, this class will require the student to work in groups and communicate with other students and/or the instructor via email. It will require them to communicate results in both oral and written forms. The student must understand that the requirements of this course go beyond the time the student meets in the classroom and meeting the requirements of this class is the responsibility of the student. WTCC, though, provides assistance with staff in the ILC and by providing access to the Internet on computers in the ILC, open labs, or in the library. The instructor is available via email, phone, or in person if there are questions or concerns.
Benchmarks
After completing the course, students will demonstrate the ability to:
1.
Use limits to find derivatives.
2.
Find equations of tangent lines.
3.
Solve applied problems using the derivative.
4.
Find marginal cost, profit and revenue.
5.
Solve maximum-minimum problems and interpret the results.
6.
Find the anti-derivative of a given function.
7.
Solve applied problems involving integrals.
8.
Apply technology (Excel) to solve real world applications.
9.
Work cooperatively with other students to collect data, analyze models, and communicate results using correct mathematical language with the aid of technology.
Other Notes
The last date for withdrawing from the course without penalty is
October 28 th .
In addition to teaching the student to apply mathematical skills, this course will also strengthens the student’s ability to work in a team, utilize technology as a tool, and to communicate mathematically. Therefore, student will be required to work collaboratively and to work on teamassignments outside of class
This course has been listed as a web-assisted course. The Instructor may utilize email and/or the Internet to provide students with material necessary for success in this course.
Additional information for the student can be found at: http://mathandphysics.waketech.edu/index.php
2

Schedule of Instruction
Disclaimer: This is a tentative schedule and is subject to change. Your instructor may choose to assign more homework or different homework problems.
Week SECTION
1
2
3
4
5
6
7
8
1.1
1.2
1.4
1.5
2.1
2.2
2.3
3.1
3.4
3.5
3.6
3.7
3.8
4.1
4.1
4.2
4.2
4.3
5.1
5.1
5.2
5.3
5.3
TOPIC HOMEWORK
Algebra and Excel Review ** Handouts
Functions - Numerical and
Algebraic Viewpoints
Functions from the Graphical
Viewpoint
Linear Models
1.1/1,3,5,7,9,11,15,19,21,23,25,27,29,35,41
1.2/1,3,5,13,15,23,29
1.4/1,5,7,9,11,13,19,35,43,
Linear Regression 1.5/17,21,23,25
Quadratic Functions & Models 2.1/19,21,25,29,35
Exponential Functions & Models 2.2/19,47,63,65,71,73,93
Logarithmic Functions & Models 2.3/33,35,41,45,49,59,65
Limits: Numerical and Graphical
Approaches
Average Rate of Change
3.1/3,5,7,15,19,21,23,26,31,33,39
3.4/1,5,11,19,21,27,29,34,41,45,
Practice Problems
Review
Test 1 -
Derivatives: Numerical and
Graphical Viewpoints
The Derivative: Algebraic
Viewpoint
Derivatives of Powers, Sums, and Constant Multiples
A First Application: Marginal
Analysis
3.5/3,5,11,15,21,29,43,47,59,61,69,73,75
3.6/3,7,15,19,33,43,45
3.7/1,3,7,19,21,23,35,49,55,59,95,97
3.8/1,5,9,11,19,21
The Product and Quotient Rules 4.1/13,15,19,23,25,35,37,47,53,59,65,75
Same Same
4.2/1,5,11,13,17,19,31,35,39,61,63,65
Same
The Chain Rule
Same
Derivatives of Logarithmic and
Exponential Functions
Review
Derivative Test
Maxima and Minima
Same
Applications of Maxima and
Minima
Project 1
The Second Derivative and
Analyzing Graphs
Same
4.3/1,3,5,7,9,15,17,19,33,41,49,77,83,85
5.1/5,7,13,15,21,31,35,45
Same
5.2/3,5,9,13,15,17,21,29,31,41
5.3/1,3,7,9,11,17,25,29,33,37,59,63,67
Same
3

9
5.4
5.4
5.5
5.5
10
11
12
13
14
15
16
17
6.3
6.3
6.4
6.4
7.2
7.2
7.3
7.3
7.4
7.4
6.1
6.1
6.2
6.2
6.2
Related Rates
Same
Elasticity
Same
Review
Test 2 -
The Indefinite Integral
Same
Substitution
Same
Same
Review
Indefinite Integral Test
Project 2
The Definite Integral:
Numerical and Graphical
Approaches
Same
The Definite Integral: Algebraic
Approach and the Fundamental
Theorem of Calculus
Same
Area Between Two Curves and
Applications
Same
Averages
Same
Applications to Business and
Economics: Consumers’ and
Producers’ Surplus
Same
Lorenz Curves
Review
Test 3 -
Review
Review
Final Exam -
5.4/3,5,9,13,15,17,23
Same
5.5/1,5,9,17,19
Same
6.1/1,5,7,11,19,23,31,47,49
Same
6.2/1,5,9,11,15,19,31,55,59,75,77
Same
Same
6.3/1,3,35,37,41,55 (use Excel 35-55)
Same
6.4/1,3,11,17,19,31,35,47,49,53,55,63
Same
7.2/1,5,9,13,19,25,27,29
7.3/1,5,25,27,35a
Handouts
Same
Same
7.4/3,5,9,15,17,21,37,39
Same
4