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
oered by the Department of Mathemati
Robertos Notes on Integral Calculus
Chapter 2: Integration methods
Section 1
Integration by substitution
or by change of variable
What you need to know already:
What an indefinite integral is.
What you can learn here:
How to integrate a function that is
Calculus Cheat Sheet
Limits
Definitions
Precise Definition : We say lim f ( x ) = L if
Limit at Infinity : We say lim f ( x ) = L if we
x a
x
for every e > 0 there is a d > 0 such that
whenever 0 < x - a < d then f ( x ) - L < e .
can make f ( x ) as clo
Mathematics Learning Centre
Introduction to Dierential Calculus
Christopher Thomas
c 1997
University of Sydney
Acknowledgements
Some parts of this booklet appeared in a similar form in the booklet Review of Dierentiation Techniques published by the Mathem
Robertos Notes on Integral Calculus
Chapter 1: Indefinite integrals
Section 1
Antiderivatives and indefinite integrals
What you need to know already:
How to compute derivatives.
What you can learn here:
What an antiderivative is.
What an indefinite int
1
BASIC CALCULUS REFRESHER
Ismor Fischer, Ph.D. Dept. of Statistics UW-Madison
1.
Introduction.
This is a very condensed and simplified version of basic calculus, which is a prerequisite for many
courses in Mathematics, Statistics, Engineering, Pharmacy,