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Can an infinite number of values add to a finite sum? The surprising answer is yes. In Calculus III, we will discuss this possibility in Chapter 8, Sequences and Series. How does your calculator know the value of sin(5) so quickly? We will also discover some effective methods for programming transcendental and rational functions on a calculator or computer in chapter 8.
In chapter 10 we will get familiar with those arrows called vectors in 2 and 3 dimensions. We will also delve into the mathematics of space. The 3 different systems of working with space will be introduced.
In chapter 11 the course takes us to the study of vector valued functions defined parametrically. We will travel thru space on curves that are based on the parameter of elapsed time.
Chapter 12 shows us how multi variable functions produce surfaces and what derivatives tell us about these 3 dimensional objects.
The integral is applied to the multi variable functions of chapter 12 to find area, volume, mass, center of mass, moments and moments of inertia. We will in most cases need double and triple integrals for these calculations.
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PRE-REQUISITE: grade of C or better
in Calculus II
TEXTBOOK: CALCULUS by Larson &
Hostetler 6Th Ed.
SUPPLEMENTS: THE ALGEBRA OF CALCULUS
by Eric Braude; STUDY AND SOLUTIONS GUIDE by David Heyd.
CD ROM – Interactive Calculus V 2.0 Videos available in the Media
Center.
PROFESSOR: PIERRE SATKOWIAK.
OFFICE: C – 122. PHONE: 646-2045.
EMAIL: psatkowi @ fccj.org
REQUIRED TOOLS: NOTEBOOK, GRAPH PAPER,
TI 85 or 86 CALCULATOR NOTE; A TI 89 CALCULATOR WILL BE
USED, IF ALL STUDENTS CAN OBTAIN ONE
GRADING SYSTEM
PART 1
QUIZZES: You will be given 5 surprise quizzes
throughout this term. The quizzes will only cover the previous homework
assignment. You must be present to take the quiz and there are no
make-ups for missing a quiz. The quiz average will count the same
as one test grade. NOTE: Perfect or near perfect attendance can replace
your lowest quiz grade.
PART 2
TESTS: There will be 5 tests given
during the term. See the Fall Term Calendar
attached for test coverage. Only 1 missed test can be made-up by
appointment. You are not allowed to re-take a test. NOTE:
The chapters and sections in the calendar reflect the Common Course Outline
for this course.
GRADE CALCULATION: (The 5 Test Scores + the Quiz Average)/6. ALL GRADES ASSIGNED WILL BE LETTER GRADES. YOUR FINAL GRADE WILL BE COMPUTED BY CHANGING THE LETTERS TO NUMBERS ON A 4 POINT SCALE, A=4, B=3, C=2, D=1, F=0. A FINAL GRADE WILL BE ASSIGNED BASED ON THE FOLLOWING INTERVALS.
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ANYONE WHO SUCCEEDS IN THIS COURSE CAN BE PROUD OF THEIR ACCOMPLISHMENT, SINCE THIS MATERIAL TAKES A LOT OF WORK. I PROMISE TO WORK HARD TO HELP YOU SUCCEED, AND IF YOU WORK HARD THIS WILL PROBABLY HAPPEN. PLEASE FEEL FREE TO STOP BY MY OFFICE FOR HELP.
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