MATH102 Term 141 Instructor Dr Faisal AbdulKarim Fairag

MATH-102 Term 141

Instructor: Dr. Faisal Abdul-Karim Fairag ﻓﻴﺼﻞ ﻋﺒﺪ ﺍﻟﻜﺮﻳﻢ ﻓﻴﺮﻕ . ﺩ Office: 5 -432 Phone: 860 -4463 e-mail: ffairag@kfupm. edu. sa Home page: http: //faculty. kfupm. edu. sa/math/ffairag Math-102 Homepage : http: //faculty. kfupm. edu. sa/MATH/ffairag/math 102_141/index. htm

MATH-102 Term 141 Title: Calculus II Credit: 4 -0 -4 Textbook: Thomas Calculus (Early Transcendentals) by G. Thomas, M. Weir and J. Hass. 12 thedition, Pearson (2010). Description: Definite and indefinite integrals of functions of a single variable. Fundamental Theorem of Calculus. Techniques of integration. Applications of the definite integral to area, volume, arc length and surface of revolution. Improper integrals. Sequences and series: convergence tests, integral, comparison, ratio and root tests. Alternating series. Absolute and conditional convergence. Power series. Taylor and Maclaurin series.

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 10. 10 The Binomial Series and Applications of Taylor Series

Course Homepage http: //faculty. kfupm. edu. sa/math/ffairag/math 102_141

Black Board 9. 1 https: //blackboard. kfupm. edu. sa

Grading Policy Days % OUT OF 400 Exam-IPolicy: Grading 25% 100 Exam-II 25% 100 Final exam 35% 140 Class Activities 10% 40 Online Homework 5% 20 100% 400 Total 85% Exams Class Activities

Cut-off Points Cutoff Points(MATH-102): MATH 102_123 A+>/360 A>/340 B+>/306 B>/281 C+>/261 C>/232 D+>/211 D>/180 F<180 MATH 102_122 A+>/360 A>/336 B+>/312 B>/284 C+>/260 C>/232 D+>/204 D>/180 F<180 MATH 102_121 A+>/356 A>/333 B+>/300 B>/269 C+>/239 C>/207 D+>/192 D>/170 F<170 MATH 102_112 A+>/357, A >/337, B+>/302, B >/273, C+>/246, C>/220, D+>/195, D >/170, F <170 MATH 102_092 CRITERIA: A+>/358 A>/339 B+>/302 B>/270 C+>/246 C>/212 D+>/191 D>/167 F<167 MATH 102_091 CRITERIA: A+>/358 A>/330 B+>/301 B>/265 C+>/230 C>/209 D+>/190 D>/160 F<160 MATH 102_082 CRITERIA: A+>/354 A>/338 B+>/301 B>/271 C+>/240 C>/215 D+>/186 D>/169 F<169 MATH 102_103 A+>/334 A>/311 B+>/293 B>/260 C+>/227 C>/209 D+>/191 D>/170 F<170 MATH 102_093 CRITERIA: A+>/343 A>/315 B+>/288 B>/268 C+>/233 C>/203 D+>/183 D>/162 F<162

PREFACE 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 My. Math. Lab®, 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.

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.

1) Explore Home. Page 3) Review sec 5. 1 + sec 5. 2 4) Do the first 2 BBHW 2) Be familiar with BB 9. 1 5) Provide some info http: //faculty. kfupm. edu. sa/math/ff airag/math 102_141/form. htm