Calculus Know-It-All Beginners to Advanced, and Everything in Between

 

                         Ebook Size: 4.8 MB

           

                         Download: Calculus Know-It-All.pdf

If you want to improve your understanding of calculus, then this book is for you. It can supplement standard texts at the high-school senior, trade-school, and college undergraduate levels. It can also serve as a self-teaching or home-schooling supplement. Prerequisites include intermediate algebra, geometry, and trigonometry. It will help if you’ve had some pre-calculus (sometimes called “analysis”) as well.

This book contains three major sections. Part 1 involves differentiation in one variable. Part 2 is devoted to integration in one variable. Part 3 deals with partial differentiation and multiple integration. You’ll also get a taste of elementary differential equations. Chapters 1 through 9, 11 through 19, and 21 through 29 end with practice exercises. You may (and should) refer to the text as you solve these problems. Worked-out solutions appear in Apps. A, B, and C. Often, these solutions do not represent the only way a problem can be figured out. Feel free to try alternatives!

Chapters 10, 20, and 30 contain question-and-answer sets that finish up Parts 1, 2, and 3, respectively. These chapters will help you review the material. A multiple-choice final exam concludes the course. Don’t refer to the text while taking the exam. The questions in the exam are more general (and easier) than the practice exercises at the ends of the chapters. The exam is designed to test your grasp of the concepts, not to see how well you can execute calculations. The correct answers are listed in App. D. In my opinion, most textbooks place too much importance on “churning out answers,” and often fail to explain how and why you get those answers. I wrote this book to address these problems. I’ve tried to introduce the language gently, so you won’t get lost in a wilderness of jargon. Many of the examples and problems are easy, some take work, and a few are designed to make you think hard.

If you complete one chapter per week, you’ll get through this course in a school year. Bu don’t hurry. When you’ve finished this book, I recommend Calculus Demystified by Steven G. Krantz and Advanced Calculus Demystified by David Bachman for further study. If Chap. 29 of this book gets you interested in differential equations, I recommend Differential Equations Demystified by Steven G. Krantz as a first text in that subject.

Pre-Calculus Know-It-All Beginners to Advanced, and Everything in Between

                       Ebook Size : 3.5 MB

                       Download : Pre-Calculus Know-It-All.pdf

This book is intended to complement standard pre-calculus texts at the high-school, trade-school,
and college undergraduate levels. It can also serve as a self-teaching or home-schooling supplement.
Prerequisites include beginning and intermediate algebra, geometry, and trigonometry. Pre-Calculus
Know-It-ALL forms an ideal “bridge” between Algebra Know-It-ALL and Calculus Know-It-ALL.

This course is split into two major sections. Part 1 (Chapters 1 through 10) deals with coordinate systems and vectors. Part 2 (Chapters 11 through 20) is devoted to analytic geometry. Chapters
1 through 9 and 11 through 19 end with practice exercises. They’re “open-book” quizzes. You may
(and should) refer to the text as you work out your answers. Detailed solutions appear in Appendices A and B. In many cases, these solutions don’t represent the only way a problem can be figuredout. Feel free to try alternatives!

Chapters 10 and 20 contain question-and-answer sets that finish up Parts 1 and 2, respectively.
These chapters aren’t tests. They’re designed to help you review the material, and to strengthen your
grasp of the concepts.

A multiple-choice Final Exam concludes the course. It’s a “closed-book” test. Don’t look back
at the chapters, or use any other external references, while taking it. You’ll find these questions more
general (and easier) than the practice exercises at the ends of the chapters. The exam is meant to
gauge your overall understanding of the concepts, not to measure how fast you can perform calculations or how well you can memorize formulas. The correct answers are listed in Appendix C. I’ve tried to introduce “mathematicalese” as the book proceeds. That way, you’ll get used to the jargon as you work your way through the examples and problems. If you complete one chapter a week, you’ll get through this course in a school year with time to spare, but don’t hurry. Proceed at your own pace.

Algebra Know It All - Stan Gibilisco

                         Ebook Size : 2 MB

                         Download : Algebra Know It All.pdf

Master algebra from the comfort of home! Want to know it all when it comes to algebra? Algebra Know-It-ALL gives you the expert, one-on-one instruction you need, whether you're new to algebra or you're looking to ramp up your skills.Providing easy-to-understand concepts and thoroughly explained exercises, math whiz Stan Gibilisco serves as your own private tutor-without the expense! His clear, friendly guidance helps you tackle the concepts and problems that confuse you the most and work through them at your own pace. Train your brain with ease! Algebra Know-It-ALL features: Icons to help you identify your current skill level Chapter-end quizzes and word problem/solution pairs to reinforce learning Worked-out answers to all practice exercises Extensive multiple-choice questions to prepare you for standardized tests Extra Credit and Challenge problems to stretch your skills Stan's expert guidance gives you the know-how to: Solve arithmetic problems without a calculator Convert fractions to decimal form and vice-versa Manipulate simple equations and inequalities Learn how coordinate systems work Make simple graphs Solve quadratic and cubic equations Understand complex-number solutions to equations Use logarithms and exponential functions Take college entrance examinations with confidence. And much more!