MATH-102 Term 122

MATH-102 Term 122

Meet Your Book

About the cover: The cover image of a tree line on a snow-swept landscape, by the photographer Michael Kenna,

was taken in Hokkaido, Japan.

The artist was not thinking of calculus when he composed the image, but rather, of a visual haiku consisting of a few elements that would spark the viewer’s imagination.

Similarly, the minimal design of this text allows the central ideas of calculus developed in this book to unfold to ignite the learner’s imagination.

The book with more: examples, more mid-level exercises, more figures, better conceptual flow, and increased clarity and precision.

this new edition provides a modern introduction to calculus that supports conceptual understanding

expanded version of MyMathLab®, providing additional support for students.

We have taken care to provide enough review material, fully stepped-out solutions, and exercisesto support complete understanding for students of all levels.

We encourage students to think beyond memorizing formulas and to generalize conceptsas they are introduced.

Our hope is that after taking calculus, students will be confidentin their problem-solving and reasoning abilities.

Mastering a beautiful subject withpractical applications to the world is its own reward, but the real gift is the ability to thinkand generalize.

PREFACE

EXERCISES AND EXAMPLES

•We know that the exercises and examples are critical components in learning calculus.

•There are over 700 new exercises in this edition.

•We continue our organization and grouping of exercises by topic, progressing from computational problems to applied and theoretical

•Exercises requiring the use of computer software systems (such as Maple® or Mathematica®) are placed at the end of each exercise section, labeled Computer Explorations.

•Most of the applied exercises have a subheading to indicate the kind of application addressed in the problem.

•Many sections include new examples to clarify or deepen the meaning of the topic being discussed and to help students understand its mathematical consequences or applications to science and engineering.

5.3 The Definite Integral5.4 The Fundamental Theorem of Calculus5.5 Indefinite Integrals and the Substitution Method5.6 Substitution and Area Between Curves

6.1 Volumes Using Cross-Sections6.2 Volumes Using Cylindrical Shells6.3 Arc Length6.4 Areas of Surfaces of Revolution

7.1 The Logarithm Defined as an Integral7.3 Hyperbolic Functions

8.1 Integration by Parts8.2 Trigonometric Integrals8.3 Trigonometric Substitutions8.4 Integration of Rational Functions by Partial Fractions 8.7 Improper Integrals

10.1 Sequences10.2 Infinite Series10.3 The Integral Test10.4 Comparison Tests10.5 The Ratio and Root Tests10.6 Alternating Series, Absolute and Conditional Convergence10.7 Power Series10.8 Taylor and Maclaurin Series10.9 Convergence of Taylor Series10.10 The Binomial Series and Applications of Taylor Series

http://faculty.kfupm.edu.sa/math/ffairag/math102_1212

Grading Policy:

1. Exam I A common multiple

choice exam

Material: (5.3-6.4)Place: Building 5425% (100

points)

Date: Wednesday, Feb 26, 2013

Time: 06:00-08:00 PM

2. Exam II

A common written exam

Material: (7.1-8.7)Place: Building 5425% (100 points) Date: Sunday, April 07, 2013Time: 06:30-08:30 PM

3. Final Exam

A comprehensive common multiple

choice exam

Material: ( Comprehensive)Place: Building 5435% (140 points) Date: Tuesday, May 21, 2013Time: 12:30-3:30 PM

4. Class Worki) Online Homework: The web address for online homework is kfupm.mylabsplus.com

5% (20 points)

ii) Class Activities: It is based on quizzes, class tests, or other class activities determined by the instructor. Any quiz or test under class activity should be of written type and not of multiple choice type. The average x (out of 40) of class activities of the sections taught by the same instructor should be an integer in the interval [24, 30].

10% (40 points)

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3) Math101_Rev1

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