Math
150: Introduction to Calculus
Spring 2006
Text: Applied Calculus,
HughesHallett et. al., 2^{nd} edition
Prerequisites:
One of the following 580 Math SAT or 25 Math ACT score, or completion of Math
124, 126 or 129. Students not satisfying
one of these will be dropped from the course. Please note that Math 150 is NOT a prerequisite for Math 155
and that in general it does NOT satisfy the same credit
requirements as Math 155. Math 150
covers both first and second semester calculus and is intended to prepare
primarily business, economics, pharmacy, and forestry majors for their major
courses.
Technology: This course will rely on the use of a
graphing utility for problem solving and exploration. Suggested tools are: TI83, 86 or HP48 or the online graphing tool
found at http://iml.math.wvu.edu/grapher/grapher.html.
You are not required to have one but
your instructor may use one and you may find one helpful during the lectures. The online graphing tool will be the only
graphing utility available in the computer lab during exams and gateways. There will be an online calculator available
during exams as well as the Windows calculator.
If you prefer a handheld calculator, only nongraphing, scientific
calculators such as the TI30II are allowed.
Graphing calculators and Derive are not allowed on any exam or gateway.
Exams
and quizzes will be given in
Contacts:
Instructor: 

Email: 

Office: 

Office
Hours: 

Phone: 

For
other assistance and information, you may also contact Dr. Ali Ikiz, the
cocoordinator at ikizali@math.wvu.edu or the course coordinator, Dr. Eddie
Fuller who has a homepage at http://www.math.wvu.edu/~ef/
and the home page of the course is with more information can be found at http://vista.wvu.edu/ . His office is 307G Armstrong Hall and his
phone number is 2932011 x2345. Please
check his web page for office hours.
Evaluation:
Multiple forms of assessment will be used to measure your understanding of the
concepts, skills, and problem solving.
The distribution of these assessments is:
Assessment 
Number 
Total Points 
Percent of Grade 
Quizzes
and Weekly Problems 
912 
100 
10% 
Attendance/Participation/Classroom
Activities 

50 
5% 
Laboratory
Activities 
7 
200 
20% 
Gateways 
3 
150 
15% 
Exams 
3 
300 
30% 
Comprehensive
Final 
1 
200 
20% 
Total 

1000 
100% 
Grading Scale (by points):
1000 950 
A+ 
894 870 
B+ 
794 770 
C+ 
694 670 
D+ 
949 915 
A 
869 815 
B 
769 715 
C 
669 615 
D 
914 895 
A 
814 795 
B 
714 695 
C 
614 595 
D 






<595 
F 
Attendance/Participation/Activities: Your instructor will determine the
attendance/participation/activities portion that counts as 5% of your overall
grade.
Quizzes: In addition to this, online quizzes will count
another 10% of your grade. These assessments
will be administered as
Laboratory
Exercises: All sections of Math 150
will meet in the IML computer lab in 215 Armstrong Hall on Wednesdays during
the same time as your lecture. On these
days, classes will work in groups or individually on a series of projects and
activities that focus on applied topics related to the majors you have
chosen. Each lab activity will be
preceded by an online lab preview. These
lab previews will require students to read ahead in the text and answer a few questions
in an effort to be prepared for the lab activity. These lab previews will be taken from any
computer with web access and will only be available on Monday and Tuesdays.
The
total of these activities will constitute 20% of your grade.
Gateways: Three gateway exams will be given in the lab
during the semester. They will each
count 5% of your grade. These exams will
consist of skill and computational exercises on algebra, differentiation and
integration which you will be required to answer using only the online
calculator, a NONgraphing calculator, and/or paper calculations. You will be able to take these exams a
maximum of two times. Your first attempt
will be a good indication of how prepared you are for major exams. The second attempt will be a chance for you
to answer questions correctly that you were challenged by on the first
try. The higher of the two grades will
be used in your course average.
Exams: Major exams will also be given in the IML computer
lab on Wednesdays as indicated in the course outline. Exams will be completed and submitted on the
computers in this lab. You will need to
present your WVU ID on exam days and keep it out during the test. The final exam will also be in the lab on
Wednesday during finals week. You may
sign up for a final exam time via the
An
additional review super quiz will be offered at the end of the semester that
will allow students who have missed questions on exams to show that they know
the material and make up for the lack of partial credit on these exams. In large section courses such as this,
partial credit is impossible to administer and this quiz serves as a way to
offset minor errors in your problem solutions.
Objectives: The
general goals of the Introduction to Calculus course are:
·
APPLICATIONS: use math to model
and solve real world problems
·
CONCEPTUAL UNDERSTANDING:
explore and understand central concepts in algebra and calculus, rather
than just rote memorization of algorithms
·
COMPUTATIONAL SKILLS: develop proficiency in manipulating algebraic
expressions and the computation of derivatives and integrals
·
PROBLEM SOLVING: gain experience
as a problem solver, to use a heuristic to analyze problems in an organized
manner
·
MULTIPLE APPROACHES: to examine
problems from analytical, geometric and numeric perspectives, to make decisions
about the appropriateness of the choice of formal or approximate methods of
solution
·
·
ACTIVE STUDENT LEARNING: to
engage in the exploration and discovery of concepts and to learn to work
cooperatively to solve problems
·
COMMUNICATION OF IDEAS: to
demonstrate understanding by explaining in written or oral form the meanings
and applications of concepts
The
specific goals of this course will be to stress an algebraic, graphic, and
numeric approach to the study of:
To
accomplish these goals requires active student learning, not passive
participation. Attendance is required and you
will be required to engage in class activities as determined by your
instructor. Most of these will be based
on exercises from the text. These are
intended to promote discussion of mathematical concepts and modeling and you
are encouraged to share your ideas.
If you are a
person with a disability and anticipate needing any type of accommodation in
order to participate in this class, please advise me and make appropriate
arrangements with Disability Services (2936700).
Spring 2006 Course Outline
Date 
Topic 
Section 
Exercises 

1 
M 
1/9 
Functions;
Linear Functions 
1.1, 1.2 
1.1 1,2,3,5,7,12,15,17 1.2 1,3,5,7,9,17,18 
W 
1/11 
Intro to 
1.3 
1.3
1,3,5,6,9,11,13,17,27 

F 
1/13 
Applications
of Functions 
1.4 
1.4
1,2,3,5,7,9,11,13,19,27 

2 
M 
1/16 
Martin Luther King Day (NO
CLASSES) 


W 
1/18 
Exponential Growth and Decay (1) 
1.7 
1.7
1,3,5,7,9,11,13,15,19,25,33 

F 
1/20 
Exponential
and Logarithm Functions 
1.5,1.6 
1.5
1,3,5,6,11,15,19,24; 1.6
1,3,5,7,9,13,17,19,23,25,27,31,37 

3 
M 
1/23 
Functions
and Proportions 
1.8,1.9 
1.8
1,4,5,9,13,19,21,25; 1.9 1,3,4,13,17,21,23,27,35,37 
W 
1/25 
Algebra Gateway 



F 
1/27 
Instantaneous
Rates of Change 
2.1 
2.1
1,3,4,5,11,19,21 

4 
M 
1/30 
The
Derivative 
2.2 
2.2
1,2,3,4,5,7,9,11,19,21,27,31 
W 
2/1 
Exam 1 (Chapter
1 and 2.12.2) 



F 
2/3 
Interpretations
of the Derivative 
2.3 
2.3
1,3,5,9,11,15,17,21 

5 
M 
2/6 
The
Second Derivative 
2.4 
2.4
1,3,5,7,9,11,13,17,19,25 
W 
2/8 
Marginal Cost and Revenue (2) 
2.5 
2.5
1,3,5,7,9,11,13 

F 
2/10 
Derivatives: Powers and Polynomials 
3.1 
3.1
1,3,5,7,9,11,13,15,17,19,21,27,29,30,35 

6 
M 
2/13 
Derivatives: Exponents and Logs 
3.2 
3.2
1,3,5,7,15,17,19,25,27 
W 
2/15 
Rates
of Change and Tangents (3)

2.12.3 
Review
these sections for prelab 

F 
2/17 
The
Chain Rule 
3.3 
3.3
1,5,7,15,21,24,25,31,35,37 

7 
M 
2/20 
The Product
and Quotient Rules

3.4 
3.4 1,3,4,7,9,11,13,15,17,21,25,32,33,35,36 
W 
2/22 
Derivatives Gateway




F 
2/24 
Local
Maxima and Minima(mid term grades) 
4.1 
4.1 1,1,3,5,7,8,9,11,15,17,23 

8 
M 
2/27 
Inflections 
4.2 
4.2
1,3,5,7,9,13,15,17,24,25 
W 
3/1 
Exam 2 (2.32.5, Chapter 3 and 4.14.2) 



F 
3/3 
Global
Maxima and Minima 
4.3 
4.3
1,3,5,7,9,11,19,21 

9 
M 
3/6 
Profit,
Cost and Revenue 
4.4 
4.4
1,3,4,5,7,9,13 
W 
3/8 
Surge Functions and Drug Concentration (4) 
4.8 
4.8
1,2,3,4,11 

F 
3/10 
Elasticity
of Demand 
4.6 
4.6
1,3,5,7,9,11 

3/11
3/19 Spring Break (NO CLASSES) 

10 
M 
3/20 
Accumulating
Change 
5.1 
5.1
1,3,5,7,9,11,13,15 
W 
3/22 
The Definite Integral (5) 
5.2 
5.2
1,3,5,7,9,13,15 

F 
3/24 
Area (last
day to drop a class) 
5.3 
5.3
1,2,3,4,5,7,9,10,12,14,27 

11 
M 
3/27 
The
Fundamental Theorem of Calculus 
5.5 
5.5
1,3,5,9,11,12 
W 
3/29 
Interpretations
of the Definite Integral (6)

5.4 
5.4
1,3,6,11,16,19,23 

F 
3/31 
Antiderivatives 
7.1 
7.1 1,3,5,7,9,11,19,20,25 

12 
M 
4/3 
Review 


W 
4/5 
Exam 3 (4.34.6, 4.8, Chapter 5 and 7.1) 



F 
4/7 
Average
Value 
6.1 
6.1
1,3,4,5,9,15 

13 
M 
4/10 
Consumer
and Producer Surplus 
6.2 
6.2
1,2,3,4,5,7 
W 
4/12 
Present and Future Value (7) 
6.3 
6.3
1,2,3,7,9,11 

F 
4/14 
Relative
Growth 
6.4 
6.4 1,3,6,7,9,13 

14 
M 
4/17 
Antiderivatives,
Part II 
7.1 

W 
4/19 
Integration Gateway




F 
4/21 
Substitution 
7.2 
7.2 1,3,5,9,11,19 

15 
M 
4/24 
Using
the Fundamental Theorem 
7.3 
7.3 1,3,5,7,9,11,13,15,25,27,32 
W 
4/26 
Problem Workshop




F 
4/28 
Review 



W 
5/3 
Final Exam in
IML lab


Must
sign up for time slot 
**Note: The Final Exam will be two hours long. It will contain 12 problems from Chapters 6 and 7 with the remaining 1214 problems coming from previous material.
Lab Schedule
Week 
Activity 
Topic 
To Be Turned In 
1 
Intro to 
Lecture and Exercises on 1.3 

2 
Exponential Growth and Decay 
Functions and Rates of Change 
Worksheet 
3 
Algebra Gateway 
Prerequisite Algebra Skills 

4 
Exam 1 
Chapters 1 and 2 

5 
Marginal Cost and Revenue 
Applications of Derivatives 
Worksheet 
6 
Rates of Change and Tangents 
Using Derivatives 
Worksheet 
7 
Derivatives Gateway 
Computing derivatives 

8 
Exam 2 
Chapters 3 and 4 

9 
Surge Functions 
Metabolism of Drugs and Modeling 
Worksheet 
10 
The Definite Integral 
Computing Integrals 
Worksheet 
11 
Interpretations of the Definite Integral 
Definite Integrals and Riemann Sums 
Worksheet 
12 
Exam 3 
Chapters 5 and 6 

13 
Future and Present Value 
Future Value of an Income Stream 
Worksheet 
14 
Integration Gateway 
Computing integrals 

15 
Practice Problems 


Getting Help: You should expect to spend six to ten hours
per week outside of class working on homework, quizzes and general
studying. If you are spending more, then
you may need to seek help! There are several
excellent sources for such help. First,
seek help from your classmates. Often
they can explain the problem clearly since they have been working on it. Second, seek assistance from your
instructor. A few questions may clarify
the problem. Third, seek help from the
Note: Unless otherwise noted, all labs and second attemps
on gateways are to be completed by Friday at 4pm following the Wednesday lab
meeting.