The mere thought of having to take a required calculus course
is enough to make legions of students break out in a cold sweat.
Others who have no intention of ever studying the subject have this
notion that calculus is impossibly difficult unless you happen to
be a direct descendant of Einstein. Well, the good news is that you
can master calculus. It''s not nearly as tough as its mystique would
lead you to think. Much of calculus is really just very advanced
algebra, geometry, and trig. It builds upon and is a logical
extension of those subjects. If you can do algebra, geometry, and
trig, you can do calculus. Calculus For Dummies is intended for
three groups of readers: Students taking their first calculus
course -- If you''re enrolled in a calculus course and you find your
textbook less than crystal clear, this is the book for you. It
covers the most important topics in the first year of calculus:
differentiation, integration, and infinite series. Students who
need to brush up on their calculus to prepare for other studies --
If you''ve had elementary calculus, but it''s been a couple of years
and you want to review the concepts to prepare for, say, some
graduate program, Calculus For Dummies will give you a thorough,
no-nonsense refresher course. Adults of all ages who''d like a good
introduction to the subject -- Non-student readers will find the
book''s exposition clear and accessible. Calculus For Dummies takes
calculus out of the ivory tower and brings it down to earth. This
is a user-friendly math book. Whenever possible, the author
explains the calculus concepts by showing you connections between
the calculus ideas and easier ideas from algebra and geometry.
Then, you''ll see how the calculus concepts work in concrete
examples. All explanations are in plain English, not math-speak.
Calculus For Dummies covers the following topics and more: *
Real-world examples of calculus * The two big ideas of calculus:
differentiation and integration * Why calculus works * Pre-algebra
and algebra review * Common functions and their graphs * Limits and
continuity * Integration and approximating area * Sequences and
series Don''t buy the misconception. Sure calculus is difficult --
but it''s manageable, doable. You made it through algebra, geometry,
and trigonometry. Well, calculus just picks up where they leave off
-- it''s simply the next step in a logical progression.
Introduction.
Part I: An Overview of Calculus.Chapter 1: What Is Calculus?Chapter
2: The Two Big Ideas of Calculus: Differentiation and
Integration.Chapter 3: Why Calculus Works.
Part II: Warming Up with Calculus Prerequisites.Chapter 4:
Pre-Algebra and Algebra Review.Chapter 5: Funky Functions and Their
Groovy Graphs.Chapter 6: The Trig Tango.
Part III: Limits.Chapter 7: Limits and Continuity.Chapter 8:
Evaluating Limits.
Part IV: Differentiation.Chapter 9: Differentiation
Orientation.Chapter 10: Differentiation Rules - Yeah, Man, It
Rules.Chapter 11: Differentiation and the Shape of Curves.Chapter
12: Your Problems Are Solved: Differentiation to the Rescue!
Part V: Integration and Infinite Series.Chapter 13: Intro to
Integration and Approximating Area.Chapter 14: Integration: It''s
Backwards Differentiation.Chapter 15: Integration Techniques for
Experts.Chapter 16: Forget Dr. Phil: Use the Integral to Solve
Problems.Chapter 17: Infinite Series.
Part VI: The
Part of Tens.Chapter 18: Ten Things to Remember.Chapter 19: Ten
Things to Forget.Chapter 20: Ten Things You Can''t Get Away
With.Index.
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