Calculus for Beginners and Artists Chapter 0: Why Study Calculus? Chapter 1: Numbers Chapter 2: Using a Spreadsheet Chapter 3: Linear Functions Chapter 4: Quadratics and Derivatives of Functions Chapter 5: Rational Functions and the Calculation of Derivatives Chapter 6: Exponential Functions, Substitution and the Chain Rule
· Integral Calculus joins (integrates) the small pieces together to find how much there is. And Differential Calculus and Integral Calculus are like inverses of each other, similar to how multiplication and division are inverses, but that is something for us to discover later.
So what’s calculus about? Some define calculus as “the branch of mathematics that deals with limits and the differentiation and integration of functions of one or more variables”. It’s correct, but not helpful for beginners. Here’s my take: Calculus does to algebra what algebra did to arithmetic.
Pre-Calculus bridges Algebra II and Calculus. Pre-calculus involves graphing, dealing with angles and geometric shapes such as circles and triangles, and finding absolute values. You discover new ways to record solutions with interval notation, and you plug trig identities into your equations.
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Understanding Basic Calculus S.K. Chung. Dedicated to all the people who have helped me in my life. i Preface This book is a revised and expanded version of the lecture notes for Basic Calculus and other similar courses o ered by the Department of Mathematics, University of Hong Kong, from the ﬁrst semester of the academic
Calculus for Beginners. Tools Glossary Index. Chapter 1: Numbers. Introduction. Properties of the various kinds of numbers we will encounter are reviewed. Topics. 1.1 What Are Numbers? The Rational Numbers. 1.2 Decimals and Real Numbers. 1.3 Complex Numbers. Operations on Complex Numbers;
This video will give you a brief introduction to calculus. It does this by explaining that calculus is the mathematics of change. A couple of examples are presented, and then limits, derivatives ...
Free, interactive video lessons on precalculus! Take the next step in Algebra! Here we'll introduce the most common functions you're likely to see, and different ways to describe functions.