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 exercises to support complete understanding for students of all levels. We encourage students to think beyond memorizing formulas and to generalize concepts as they are introduced. Our hope is that after taking calculus, students will be confident in their problem-solving and reasoning abilities. Mastering a beautiful subject with practical applications to the world is its own reward, but the real gift is the ability to think and 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 Integral 5.4 The Fundamental Theorem of Calculus 5.5 Indefinite Integrals and the Substitution Method 5.6 Substitution and Area Between Curves 6.1 Volumes Using Cross-Sections 6.2 Volumes Using Cylindrical Shells 6.3 Arc Length 6.4 Areas of Surfaces of Revolution 7.1 The Logarithm Defined as an Integral 7.3 Hyperbolic Functions 8.1 Integration by Parts 8.2 Trigonometric Integrals 8.3 Trigonometric Substitutions 8.4 Integration of Rational Functions by Partial Fractions 8.7 Improper Integrals 10.1 Sequences 10.2 Infinite Series 10.3 The Integral Test 10.4 Comparison Tests 10.5 The Ratio and Root Tests 10.6 Alternating Series, Absolute and Conditional Convergence 10.7 Power Series 10.8 Taylor and Maclaurin Series 10.9 Convergence of Taylor Series The Binomial Series and Applications of Taylor Series

Grading Policy: 25% (100 points) Place: Building 54Material: ( ) 1. Exam I A common multiple choice exam Time: 06:00-08:00 PMDate: Wednesday, Feb 26, % (100 points) Place: Building 54Material: ( ) 2. Exam II A common written exam Time: 06:30-08:30 PMDate: Sunday, April 07, % (140 points) Place: Building 54Material: ( Comprehensive) 3. Final Exam A comprehensive common multiple choice exam Time: 12:30-3:30 PMDate: Tuesday, May 21, % (20 points) i) Online Homework: The web address for online homework is kfupm.mylabsplus.com 4. Class Work 10% (40 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].

1) Check your WebCT - assessments 3) Math101_Rev1 2) provide your and mobile