Chris McMullen Libros

What is sixth grade math? The goal is to become more fluent in arithmetic (including fractions, decimals, percents, exponents, and negative numbers) and also to prepare prealgebra skills. Not all schools and teachers around the world cover the same topics in the same depth in 6th grade, yet at this stage the student is generally learning a variety of arithmetic and prealgebra skills. This sixth grade math workbook includes: order of operations ratios and proportions prime factorization (including factor trees and ladder diagrams) fractions, decimals, and percents data analysis (including histograms, box-and-whisker, stem-and-leaf, and dot plots) negative numbers exponents and squareroots geometric figures and the coordinate plane direct and inverse relationships a first introduction to working with variables financial mathematics and other sixth grade math and prealgebra skills The author, Chris McMullen, Ph.D., has over twenty years of experience teaching math skills to physics students. He prepared this workbook to share his strategies for applying arithmetic and prealgebra skills.

The author, Chris McMullen, Ph.D., has over twenty years of experience teaching math skills to physics students. He prepared this comprehensive workbook (with full solutions to every problem) to share his strategies for mastering calculus. This workbook covers a variety of essential calculus skills, 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. The goal of this workbook isn’t to cover every possible topic from calculus, but to focus on the most essential skills needed to apply calculus to other subjects, such as physics or engineering.

Learn and practice essential geometry skills. The answer to every problem, along with helpful notes, can be found at the back of the book. This volume focuses on fundamental concepts relating to triangles, and also covers quadrilaterals and other polygons. Topics include: lines, angles, and transversals; angles of a triangle; congruent triangles; similar triangles and ratiosright triangles, including the Pythagorean theorem and special triangles; perimeter and area of a triangle, including Heron's formula; thorough coverage of bisectors, medians, and altitudes, including the incenter, circumcenter, centroid, and orthocenter (though the concepts of inscribed or circumscribed circles are reserved for Volume 2); the triangle inequality; quadrilaterals; and polygons. The author, Chris McMullen, Ph.D., has over twenty years of experience teaching math skills to physics students. He prepared this workbook of the Improve Your Math Fluency series to share his strategies for solving geometry problems and formulating proofs.

This book will test the scope of your general mathematics knowledge in a variety of ways.The first chapter tests your math vocabulary extensively with fill-in-the-blank questions.Chapters 2-4 challenge you to think of numbers, symbols, and formulas.Chapter 5 provides a mathematical pattern challenge.Take a test of math skills in Chapter 6.Chapter 7 tests your knowledge of axioms, theorems, laws, etc.Chapters 8-9 test your knowledge of math history and abbreviations.The answer to every exercise can be found in the back of the book.

Take Dr. McMullen's pyramid math puzzle challenge. Can you figure out the missing numbers in each puzzle? These math puzzles add another dimension to pattern recognition and problem solving, since patterns can run in more than one direction. The solution to every puzzle can be found at the back of the book.

This geometry workbook includes: 64 proofs with full solutions, 9 examples to help serve as a guide, and a review of terminology, notation, and concepts. A variety of word topics are covered, including: similar and congruent triangles, the Pythagorean theorem, circles, chords, tangents, alternate interior angles, the triangle inequality, the angle sum theorem, quadrilaterals, regular polygons, area of plane figures, inscribed and circumscribed figures, and the centroid of a triangle. The author, Chris McMullen, Ph.D., has over twenty years of experience teaching math skills to physics students. He prepared this workbook to share his strategies for writing geometry proofs.

Work through standard physics problems with 100 fully-solved examples. Each example breaks the solution down to make it easier to understand, written explanations explain the math step-by-step.

LEVEL: This book covers waves, fluids, sound, heat, and light from trig-based physics at the university level. (If instead you¿re looking for a calculus-based physics book, search for ISBN 1941691196.)DESCRIPTION: This combination of physics study guide and workbook focuses on essential problem-solving skills and strategies: Fully solved examples with explanations show you step-by-step how to solve standard university physics problems. Handy charts tabulate the symbols, what they mean, and their SI units. Problem-solving 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.VOLUME: This volume covers waves, fluids, sound, heat, and light, including simple harmonic motion, standing waves, the Doppler effect, Archimedes¿ principle, the laws of thermodynamics, heat engines, principles of optics, Snell¿s law, thin lenses, spherical mirrors, diffraction, interference, polarization, and more.

DESCRIPTION: This combination of study guide and workbook covers the following essential topics from modern physics:special relativity (concepts and mathematics)blackbody radiation (in-depth coverage)the photoelectric effect (concepts and equations)Schrödinger's equation (thorough solutions to the most basic problems: the step potential, barrier potential, and square well)the Compton effect (including the derivation)Heisenberg's uncertainty principle (in terms of momentum and also energy)the de Broglie relation (and related formulas)Bohr's model of the atom (includes dozens of equations)