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```Calculus I
Textbook: Calculus: Or A Single Variable 9th edition: ISBN
0-547-21290-6, Larson and Edwards
Homework: Online through:
http://math.mc.edu/webwork2/Clinton_High_Calculus/
Course Description: One may represent many real life
situations in the form of an equation or a set of equations
called a mathematical model. These models generally fall
into two categories: discrete models and continuous models.
Discrete models arise often in computing science and in
business situations and solving them is the subject of
classes such as Graph Theory and Operations Research.
Continuous models arise most often in engineering and
other scientific settings and solving them involves the use of
Calculus. In this class, we begin a study of the basic tools
needed for solving continuous models. The hammers,
screwdrivers and saws developed in Calculus I will be
needed for Calculus II, III, IV and in fields ranging from
Differential Equations to Probability and Statistics. Also, the
mathematical maturity developed will be necessary for most
upper division mathematics classes.
Goals: This term, the student will demonstrate an
understanding of the following concepts and methods:
• overview of functions
◦
linear models
◦
trigonometric
◦
exponential
◦
logarithmic
• limits
◦
understanding the definition
◦
rules
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one-sided limits
◦
infinite limits
◦
limits at infinity
• continuity
◦
understanding the definition
◦
Intermediate Value Theorem
◦
Bisection method for approximating solutions to
equations
• derivatives
◦
understanding the definition
◦
rules
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implicit differentiation
◦
applications to distance/velocity/acceleration
◦
applications to related rates
• other uses of the derivative
◦
finding extreme values
◦
finding intervals for increasing/decreasing
◦
finding intervals for concave up/down
◦
curve sketching
◦
various word problems which apply all these concepts
(Roughly the prerequesites and the first three chapters of the
text.) In aiming at these target ideas, we will use graphical
calculators and computers to promote better intuition,
greater understanding and increased proficiency in doing
mathematics.
Meetings: This class meets as scheduled. You are expected
to be in class on time. University policy states that a student
cannot miss more than 25% of the class meetings and
receive credit for the course. Further, attendance will be
necessary in order to understand the material and make a
good grade. The student is responsible for work and material
missed when absent. Cheating in any way will be properly
rewarded in accordance to university policy.
Grading: There will be four exams during the semester plus
one mid-term and one comprehensive final exam. Due to
time constraints, the last sectional exam and the
comprehensive exam could be given on the last day of the
term. Also, there will be a quiz grade coming from an
average of assigned online homework as well as a few
assigned projects (time permitting). Any homework or
average will be computed by taking an unweighted average
(which counts 10%).
and 90% as two chapter tests and a mid-term (9 weeks) test
be based on two test grades accompanied with the quiz
average. The final high school grade will come from the
average of your two 9-weeks averages as 75% and the
semester exam counting the remaining 25%.
Make-up assignments only are given in the case of an excused