Analytic Geometry and Calculus with Review
Course Goals:
The students will
• review mathematical concepts and techniques needed to successfully study
calculus.
• be introduced to the concept of a function.
• work with functions algebraically, numerically and graphically .
• be introduced to the concepts of limits and continuity of functions.
• develop the concept of a derivative as both a rate of change and as the slope
of a tangent to a curve .
• learn techniques for finding derivatives of algebraic and exponential
functions
• relate all concepts studied to real world problems
• use the graphing calculator as a tool for visualizing calculus concepts
Course Materials:
Texts: Calculus, 6E ( Single Variable , Early
Transcendantals) by Stewart
A Companion to Calculus, 2nd ed. by Ebersole, Schattschneider, Sevilla, Somers
Calculator: The TI 83+ or TI 84+ calculator is recommended
and will be used for presentations, but any comparable graphing calculator with
which the
student is familiar with is acceptable.
Attendance:
• Regular attendance is necessary in order to be most successful. Poor
attendance will affect a student’s classwork grade.
• There will be no makeup for missed quizzes due to absences
• Makeups for tests due to absences will be given only in preapproved cases.
It is the student’s responsibility to contact me before the test is
administered unless an emergency situation can be verified.
Academic Honesty:
Please refer to Moravian’s “Policy on Academic Honesty”
that is out lined in the current Student Handbook.
Specifically, for this class
• you may use any notes, books or library sources for homework assignments
(graded or nongraded). You may also work with other students on these
assignments, but, you must indicate those with whom you conferred as well as be
responsible to explain all solutions by yourself.
• all tests and quizzes are to be completed by you alone, without the aid of
books, notes or formula sheets unless specifically permitted by the instructor.
• graphing calculators will be required as indicated by the instructor for
answering questions on assignments, tests and quizzes. However, a complete
discussion as to how they were used may be required.
Special Considerations:
Accommodations can be made for those students who have
disabilities or special needs.
These conditions must be verified by the appropriate college office.
Evaluation and Grading:
Practice is vital for developing the required Calculus
skills. It is expected that the student does all homework problems assigned.
Some will be graded while the rest could be checked for completion.
The student will be evaluated on the basis of three exams,
best four (out of five) quizzes, graded homework assignments, class
participation, and a cumulative final exam. Late assignments will be graded
with a 20% penalty for each day that they are late.
The percent breakdown of the Final Grade is as follows.
Tests 
45% 
Quizzes 
15% 
Graded Homeworks and Class
Participation 
15% 
Final Exam 
25% 
The Final Grade will be computed according to the
fol lowing guideline .
AVERAGE 
GRADE 
AVERAGE 
GRADE 
92100% 
A 
7277% 
C 
9091% 
A 
7071% 
C 
8889% 
B+ 
6869% 
D+ 
8287% 
B 
6267% 
D 
8081% 
B 
6061% 
D 
7879% 
C+ 
059% 
F 
Math 106 Course OutlineFall 2008

Stewart 
CTC 
Daily Assignments (Tentative) 
Symbols and Notation 

0A 

Modes of Communication 

0B 
Pg 6 # 1,3 
The Cartesian Coordinate Plane 

1A 
Pg 13 # 4,5 
Graphs 

1B 
Pg 18 #3 
Lines and Their Equations 

1C 
Pg 25 # 1,3 
Parallel and Intersecting Lines 

1D 
Pg 29 # 1,3,4 
Distance Between Two Points 

1E 
Pg 32 # 1,2 
The Circle 

1F 
Pg 3435 # 1,3,5 
Review and Extension 

Exercises 
Pg 3637 # 1,3,7,13 
Function Notation 

2A 
Pg 44 # 2,4 
Domain and Range of a Function 

2B 
Pg 4849 # 2,3,4 
Four Ways to Re present Functions 
1.1 

Pg 2022 # 1,5,7,27,29,31 
The Graph of a Function 

2D 
Pg 5961 # 1,4,5 
Special Classes of Functions 

2E 
Pg 72 # 1,3,5 
Graphing Calculators and Computers 
1.4 

Pg 51# 1,3,5,17,19 
Transformations of Graphs 
2F 

Pg 82 # 3,4 
Combinations of Functions 

3A 
Pg 9697 # 16 
New Functions from Old Functions 
1.3 

Pg 43 #1,3.9,11, 29,35,39,51,55 




Negative and Rational Exponents 

7A 
Pg 219220 # 1,5ad 
Rules of Exponents 

13A 
Pg 343345 #1,3,5,8ab 
The Natural Exp onential Function 
13B 

Pg 349350 # 1,2,4,5,6 
Exponential Functions 
1.5 

Pg 58 # 3,13,19,25 
TEST 1 (Tentatively September 24) 
The Tangent and Velocity Problem 
2.1 

Pg 87 # 3,5 
The Limit of a Function 
2.2 

Pg 9798 # 5,7,9,15,19,21,25,27 
Algebraic Simplification of Functions 

3B 
Pg 110111 # 1a,d,e, 5,7,8 
Calculating Limits Using the Limit Laws 
2.3 

Pg 106 107 # 3,1125 odds, 35, 39 
Inequalities 

3C 
Pg 116 # 1 Pg 122123 # 2ac,5 
The Precise Definition of Limits 
2.4 

Pg 117118 # 1,3,7,15,19 
Continuity 
2.5 

Pg 128129 # 3,5,7,17,35,37,41,43,47 
Polynomials 

4A 
Pg 14142 # 3,4 
Domains of Functions 

4C 
Pg 156 # 1,2,3 
Graphical Interpretation 

5A 
Page 179 #4 
Algebraic Manipulations 

5B 
Pg 183 # 3,4 
Limits at Infinity: Horizontal Asymptotes 
2.6 

Pg 140142 # 1,3,7,9,15,19,23,25,39,41,43 
TEST 2 (Tentatively October 24) 
Applications 

6B 
Page 205206 #4,6,8a,b 
Derivatives and Rates of Change 
2.7 

Pg 150151 # 3,7,9,13,25 
The Derivative as a Function 
2.8 

Pg 162174 # 23,27,35,37 
Derivatives of Polynomials and Exponential
Functions 
3.1 

Pg 180181 # 310,1135odd, 39,41,45,49 
The Product and Quotient Rules 
3.2 

Pg 187188 # 319 odd,2733 odd 
The Chain Rule 
3.4 

Pg 203204 # 311odd,
17,19,21,25,47,51 
Simplifying Derivatives 

7C 
Page 227 # 1,3,4 Page 229 #6,7 
Iteration 

10A 
Pg 297 # 1a,d,2b, 
TEST 3 (Tentatively November 19) 
Implicitly Defined Functions 

9A 
Pg 288 # 2 ad,3ad 
Solving Equations that Contain dy/dx 

9B 
Page 292 # 2ac,3ac 




Implicit Differentiation 
3.5 

Pg 213 # 1,5,7,25,33,35 
Rate of Change of Rate of Change 

10B 
Pg 303305 # 1,2,4 
Rates of Change in the Natural and Social
Sciences 
3.7 

Pg 230231 # 1,9,15,29 
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