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, including: 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 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

This book is for instructors who think that most calculus textbooks are too long. In writing the book, James Stewart asked himself: What is essential for a three-semester calculus course for scientists and engineers? ESSENTIAL CALCULUS, Second Edition, offers a concise approach to teaching calculus that focuses on major concepts, and supports those concepts with precise definitions, patient explanations, and carefully graded problems. The book is only 900 pages--two-thirds the size of Stewart's other calculus texts, and yet it contains almost all of the same topics. The author achieved this relative brevity primarily by condensing the exposition and by putting some of the features on the book's website, www.StewartCalculus.com. Despite the more compact size, the book has a modern flavor, covering technology and incorporating material to promote conceptual understanding, though not as prominently as in Stewart's other books. ESSENTIAL CALCULUS features the same attention to detail, eye for innovation, and meticulous accuracy that have made Stewart's textbooks the best-selling calculus texts in the world. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.

It is a common fact that students do not show much interest in solving problems in Integral Calculus when compared to that of Differential Calculus. The voluminous nature of the problems in Integral Calculus forbids the students to gain confidence in this subject.Have a look on the following discussion. A question was asked by a student and was explained by an user in the internet.Question: I have never done integration in my life and I am in the first year of university. Is it (integration) harder than taking the derivative? I've heard it just going backwards. Is it generally considered harder than differentiation? Explanation given: If you are fine with derivatives, you will be fine with integrals in I year calculus. It never hurts to pay attention in class and to do your homework1. ............ In fact, if you have trouble with a problem, you should do more of the same kind as soon as you know the answer2. ........ The kind of problems you get in first year calculus will be solvable if you learn enough tricks3. ......... Integrals start out harder than derivatives and wind up easier4...........Superscript 1 means 'Be familiar with the formulae and methods of solving problems in Differential Calculus and Trigonometry'. The formulae practice workbooks in Differential Calculus and Trigonometry (PROF MSDOSS MATH BOOK SERIES I and II ) help the students to achieve this.Superscript 2 emphasize on 'Practice! Practice!'Students gain confidence only through practice only. This can be achieved by following the methods explained in the formulae practice workbooks in Differential Calculus, Trigonometry and Integral Calculus (PROF MSDOSS MATH BOOK SERIES I, II and III ) Superscript 3: 'Trick' means 'Ability to understand and classify the problems!'The above trick is rightly followed in the above mentioned formulae practice workbooks.Superscript 4 indicates the outcome!Experience shows that the above mentioned workbooks help the students to achieve this result.Significant features :# Each unit is provided with a revision of the formulae applied and methods followed.# Self- evaluation test is provided at the end of each unit.# Already tested in India among the average and below average students with good results.# Definite integrals, evaluation of integrals using partial fraction and the remaining methods of evaluation of integrals will be discussed in volume II.Prof. M. SUBBIAH DOSS

For students who are already fluent with single-variable derivatives and integrals, this workbook offers practice with essential skills from multivariable calculus (including vector calculus). Each chapter begins with a review of the essential ideas and includes fully solved examples to help serve as a guide. The full solution to every exercise can be found at the back of the book. Authored by experienced teacher, Chris McMullen, Ph.D., this self-study math workbook covers: partial derivatives, extreme values with multiple variables (including saddle points), vectors, vector analysis (such as the dot and cross products), vector calculus, the gradient, divergence, the curl, the main coordinate systems (Cartesian, 2D polar, spherical, and cylindrical), path integrals, surface integrals, volume integrals, flux integrals, center of mass, moment of inertia, tangent and normal vectors, and more. 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 calculus problems with multiple variables or vectors.

Master essential algebra skills through helpful explanations, instructive examples, and plenty of practice exercises with full solutions. Authored by experienced teacher, Chris McMullen, Ph.D., this algebra book covers: distributing and factoring the FOIL method cross multiplying quadratic equations and the quadratic formula how to combine like terms and isolate the unknown an explanation of what algebra is a variety of rules for working with exponents solving systems of equations using substitution, simultaneous equations, or Cramer's rule algebra with inequalities 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 algebra problems.

These 50 challenging algebra problems involve applying a variety of algebra skills. The exercises come with a good range of difficulty from milder challenges to very hard problems. On the page following each problem you can find the full solution with explanations. quadratic equations system of equations cross multiplying factoring and distributing the f.o.i.l. method roots and powers fractions and negative numbers slopes and y-intercepts of straight lines word problems applications

This math workbook, authored by Chris McMullen, Ph.D., is focused on essential prealgebra skills. It includes examples, plenty of practice problems, answers, and full solutions to most problems. Topics include: order of operations; PEMDAS; fractions, decimals, and percents; exponents and square roots; a beginning introduction to working with variables; ratios and rates; negative numbers; and other prealgebra skills. 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 applying arithmetic and prealgebra skills.

Calculus: A Complete Introduction is the most comprehensive yet easy-to-use introduction to using calculus. Written by a leading expert, this book will help you if you are studying for an important exam or essay, or if you simply want to improve your knowledge. The book covers all areas of calculus, including functions, gradients, rates of change, differentiation, exponential and logarithmic functions and integration. Everything you will need to know is here in one book. Each chapter includes not only an explanation of the knowledge and skills you need, but also worked examples and test questions.

Master essential logarithm and exponential skills through helpful explanations, instructive examples, and plenty of practice exercises with answers. Authored by experienced teacher, Chris McMullen, Ph.D., this self-study math workbook covers: 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. 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 working with logarithms and exponentials.

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.