Chris McMullen
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About Chris McMullen
Dr. Chris McMullen has over 20 years of experience teaching university physics in California, Oklahoma, Pennsylvania, and Louisiana. Dr. McMullen is also an author of math and science books. Whether in the classroom or as a writer, Dr. McMullen loves sharing knowledge and the art of motivating and engaging students.
Chris McMullen earned his Ph.D. in phenomenological highenergy physics (particle physics) from Oklahoma State University in 2002. Originally from California, Dr. McMullen earned his Master's degree from California State University, Northridge, where his thesis was in the field of electron spin resonance.
Dr. McMullen is wellknown for:
• engaging students in challenging ideas through creativity
• breaking difficult problems down into manageable steps
• providing clear and convincing explanations to subtle issues
• his mastery of physics and strong background in mathematics
• helping students become more fluent in practical math skills
As a physics teacher, Dr. McMullen observed that many students lack fluency in fundamental math skills. In an effort to help students of all ages and levels master basic math skills, he published a series of math workbooks on arithmetic, fractions, algebra, geometry, trigonometry, and calculus called the Improve Your Math Fluency Series. Dr. McMullen has also published a variety of science books, including introductions to basic astronomy and chemistry concepts in addition to physics workbooks.
Dr. McMullen is very passionate about teaching. Many students and observers have been impressed with the transformation that occurs when he walks into the classroom, and the interactive engaged discussions that he leads during class time. Dr. McMullen is wellknown for drawing monkeys and using them in his physics examples and problems, using his creativity to inspire students. A stressedout student is likely to be told to throw some bananas at monkeys, smile, and think happy physics thoughts.
Dr. McMullen first published The Visual Guide to Extra Dimensions, Volumes 1 and 2, to share his passion for the geometry and physics of the fourth dimension. Dr. McMullen has coauthored a halfdozen articles on current and future collider searches for large extra dimensions.
In addition to writing and teaching, Dr. McMullen enjoys Scrabble, golf, and chess.
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Blog postImage licensed from Shutterstock.
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Blog postHere you can find the answer key to Division Facts Practice Book by Chris McMullen, Ph.D. This practice workbook is part of the Improve Your Math Fluency series of workbooks. Most of the workbooks in this series contain the answers at the back of the book. However, the original editions of the basic facts books did not contain the answers. By request, I am adding the answer key for the Division Facts Practice Book to my blog. Here you will find just the answers (not the problems).
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Blog posthttps://www.amazon.com//dp/1941691250/
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Blog posthttp://amzn.com/1512044288
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1, 2, 4, 6, 10, 12, 16, 18, 22, _, _ 4, 6, 10, 14, 22, 26, 34, 38, _, _ 3, 7, 13, 19, 29, 37, _, _ 4, 9, 25, 49, 121, 169, 289, _, _ 5, 8, 12, 18, 24, 30, 36, 42, 52, 60, 68, _, _ If you need help, you can find hints below.
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Titles By Chris McMullen
 derivatives of polynomials, trig functions, exponentials, and logarithms
 the chain rule, product rule, and quotient rule
 second derivatives
 how to find the extreme values of a function
 limits, including l’Hopital’s rule
 antiderivatives of polynomials, trig functions, exponentials, and logarithms
 definite and indefinite integrals
 techniques of integration, including substitution, trig sub, and integration by parts
 multiple integrals
 logarithms of various bases and natural logarithms
 the change of base formula
 logarithm rules like the sum and difference formulas
 exponential functions
 hyperbolic functions and their inverses
 graphs of logarithms, exponentials, and hyperbolic functions
 a concise review of exponents in the first chapter
 Euler’s number
 applications such as population growth, continuously compounded interest, and radioactive nuclear decays
 an introduction to complex numbers in the last chapter
 an optional chapter covering the calculus of logarithms, exponentials, and hyperbolic functions
 order of operations; PEMDAS
 fractions, decimals, and percents
 exponents and square roots
 a beginning introduction to working with variables
 ratios and rates
 negative numbers
 other prealgebra skills
DESCRIPTION: This combination of physics study guide and workbook focuses on essential problemsolving skills and strategies:
 Fully solved examples with explanations show you stepbystep how to solve standard university physics problems.
 Handy charts tabulate the symbols, what they mean, and their SI units.
 Problemsolving strategies are broken down into steps and illustrated with examples.
 Answers, hints, intermediate answers, and explanations are provided for every practice exercise.
 Terms and concepts which are essential to solving physics problems are defined and explained.
AUTHOR: The author, Dr. Chris McMullen, has over 20 years of experience teaching university physics in California, Oklahoma, Pennsylvania, and Louisiana (and has also taught physics to gifted high school students). Dr. McMullen currently teaches physics at Northwestern State University of Louisiana. He has also published a halfdozen papers on the collider phenomenology of superstringinspired large extra dimensions. Chris McMullen earned his Ph.D. in particle physics from Oklahoma State University (and his M.S. in physics from California State University, Northridge).
Dr. McMullen is wellknown for:
 engaging physics students in challenging ideas through creativity
 breaking difficult problems down into manageable steps
 providing clear and convincing explanations to subtle issues
 his mastery of physics and strong background in mathematics
 helping students become more fluent in practical math skills
SOLUTIONS: The back of the book includes a detailed section of hints, intermediate answers, final answers, and explanations to help you solve each problem one step at a time. It’s like having a physics tutor in the back of the book. (However, if you would prefer complete solutions, search for ISBN 1941691137.)
USES: This study guide workbook can be used to:
 learn how to solve fundamental problems in physics with calculus
 find fullysolved examples of standard physics problems
 develop fluency in physics via practice exercises that include answers, hints, and explanations
 quickly find the most essential physics terms, concepts, and formulas
 prepare for the AP physics exam
 review for standardized exams, such as AP Physics or the fundamentals of the GRE.
DESCRIPTION: This combination of physics study guide and workbook focuses on essential problemsolving skills and strategies:
 Fully solved examples with explanations show you stepbystep how to solve standard university physics problems.
 Handy charts tabulate the symbols, what they mean, and their SI units.
 Problemsolving strategies are broken down into steps and illustrated with examples.
 Answers, hints, intermediate answers, and explanations are provided for every practice exercise.
 Terms and concepts which are essential to solving physics problems are defined and explained.
AUTHOR: The author, Dr. Chris McMullen, has over 20 years of experience teaching university physics in California, Oklahoma, Pennsylvania, and Louisiana (and has also taught physics to gifted high school students). Dr. McMullen currently teaches physics at Northwestern State University of Louisiana. He has also published a halfdozen papers on the collider phenomenology of superstringinspired large extra dimensions. Chris McMullen earned his Ph.D. in particle physics from Oklahoma State University (and his M.S. in physics from California State University, Northridge).
Dr. McMullen is wellknown for:
 engaging physics students in challenging ideas through creativity
 breaking difficult problems down into manageable steps
 providing clear and convincing explanations to subtle issues
 his mastery of physics and strong background in mathematics
 helping students become more fluent in practical math skills
SOLUTIONS: The back of the book includes a detailed section of hints, intermediate answers, final answers, and explanations to help you solve each problem one step at a time. It's like having a physics tutor in the back of the book. (However, if you would prefer complete solutions, search for ISBN 194169117X.)
USES: This study guide workbook can be used to:
 learn how to solve fundamental problems in physics with calculus
 find fullysolved examples of standard physics problems
 develop fluency in physics via practice exercises that include answers, hints, and explanations
 quickly find the most essential physics terms, concepts, and formulas
 prepare for the AP physics exam
 review for standardized exams, such as AP Physics or the fundamentals of the GRE.
 combine like terms
 factor binomials and trinomials
 factor out a minus sign
 distribute terms to binomials and trinomials
 distribute a minus sign
 multiply variables with different exponents
 apply the FOIL method
 the square of the sum and the difference of squares
 isolate the unknown in a simple equation
 Uniform and nonuniform acceleration
 Vector addition and coordinate systems
 Applying Newton's laws of motion
 Uniform circular motion (including satellites)
 Work, power, and conservation of energy
 Center of mass, collisions, and rockets
 Thorough coverage of rotation
AUDIENCE: This calculusbased physics textbook is geared toward independent learners who can handle the rigors of calculus and who seek to develop a strong introduction to the fundamentals of physics, both mathematically and conceptually. It could also serve as a useful reference for physics and engineering students who have gone beyond the first year of physics, but who would like to review the fundamentals as they explore more advanced fields of physics.
PREREQUISITES: No previous exposure to physics is assumed. The student should be familiar with the basic techniques of differentiation and integration, including polynomials and trig functions, and should be fluent in algebra and familiar with the basic trig functions.
COREQUISITES: The textbook teaches Calculus II skills as needed, such as the technique of integrating via trigonometric substitution. The textbook also reviews some Calculus I skills which students often forget, such as the meanvalue theorem, l'Hopital's rule, and the chain rule. This is not done in an introductory chapter or an appendix, but in the main text as these ideas first become useful.
IMPORTANT DISTINCTIONS: Boxes of important distinctions are included in order to help students distinguish between similar conceptslike average speed and average velocity, between velocity and acceleration, or between mass and weight.
TABLE OF EQUATIONS: There is a handy table of equations organized by topic on the back cover of the textbook. The equations in the text (but not on the cover) also include notes to help students understand any limitations that the equations may have (e.g. some equations only apply if acceleration is uniform or if mass is constant).
MATHEMATICAL & CONCEPTUAL EMPHASIS: There is much emphasis both on learning the mathematics precisely and understanding the concepts at a deep, precise level. An underlying idea is that students should not guess at concepts, but that concepts are mathematically motivated: Let the equations be your guide.
PROBLEMSOLVING STRATEGIES: All of the main problemsolving strategieslike projectile motion, applying Newton's second law, or conserving energyare highlighted and described stepbystep and in detail. Examples illustrate how to carry out all of the problemsolving strategies.
NOTES: Several notes are boxed to describe important points, common mistakes, and exceptions. Hundreds of footnotes are included to discuss subtleties without interrupting the flow of the text.
EXAMPLES: Conceptual and problemsolving examples were selected based on their instructiveness in elucidating important concepts or illustrating how to carry out important problemsolving strategies; quality was favored over quantity. Simple plugandchug examples and problems are scarce, since the audience for this book is independent students.
HINTS & ANSWERS: 100% of the conceptual questions have both hints and answers, since it's crucial to develop a solid understanding of the concepts in or
 30 fullysolved examples serve as a guide
 70 practice exercises include full solutions
 a quick algebra refresher reviews essential skills
 a chapter on strategies and tips introduces the basic concepts
 age problems
 problems with integers
 relating the digits of a number
 fractions, decimals, and percentages
 average values
 ratios and proportions
 problems with money
 simple interest problems
 rate problems
 two moving objects
 mixture problems
 people working together
 problems with levers
 perimeter and area
DESCRIPTION: This combination of physics study guide and workbook focuses on essential problemsolving skills and strategies:
 Fully solved examples with explanations show you stepbystep how to solve standard university physics problems.
 Handy charts tabulate the symbols, what they mean, and their SI units.
 Problemsolving strategies are broken down into steps and illustrated with examples.
 Answers, hints, intermediate answers, and explanations are provided for every practice exercise.
 Terms and concepts which are essential to solving physics problems are defined and explained.
AUTHOR: The author, Dr. Chris McMullen, has over 20 years of experience teaching university physics in California, Oklahoma, Pennsylvania, and Louisiana (and has also taught physics to gifted high school students). Dr. McMullen currently teaches physics at Northwestern State University of Louisiana. He has also published a halfdozen papers on the collider phenomenology of superstringinspired large extra dimensions. Chris McMullen earned his Ph.D. in particle physics from Oklahoma State University (and his M.S. in physics from California State University, Northridge).
Dr. McMullen is wellknown for:
 engaging physics students in challenging ideas through creativity
 breaking difficult problems down into manageable steps
 providing clear and convincing explanations to subtle issues
 his mastery of physics and strong background in mathematics
 helping students become more fluent in practical math skills
USES: This study guide workbook can be used to:
 learn how to solve fundamental problems in physics with calculus
 find fullysolved examples of standard physics problems
 develop fluency in physics via practice exercises that include answers, hints, and explanations
 quickly find the most essential physics terms, concepts, and formulas
 prepare for the AP physics exam
 review for standardized exams, such as AP Physics or the fundamentals of the GRE.
Patterns include:
 Arithmetic
 Prime numbers
 Fibonacci sequence
 Visual puzzles
 Roman numerals
 Arrays and more
 pattern recognition
 visual discrimination
 analytical skills
 logic and reasoning
 analogies
 mathematics
Each chapter begins with a brief introduction or review of the relevant concepts, followed by 23 examples of pattern puzzles with explanations.
 properties of functions
 dealing with radicals
 imaginary numbers
 roots of polynomials
 completing the square
 complex solutions to the quadratic
 synthetic division
 graphing functions
 the fundamental theorem of algebra
 elimination techniques for systems of equations
 equations for parabolas, circles, ellipses, and hyperbolas
 the remainder theorem
 the factor theorem
 conjugate expressions
 inequalities
 and more
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