The materials in this page are contributed by Dr S. K. Chung, former lecturer of the Department of Mathematics, the University of Hong Kong.

**Understanding Basic Calculus**

**From the preface** This book is a revised and expanded version of the lecture notes for
*Basic Calculus* and other similar courses offered by the Department of Mathematics,
University of Hong Kong, from the first semester of the academic year 1998-1999 through
the second semester of 2006-2007......
Accompanying the pdf file of this book is a set of Mathematica notebook files (with extension .nb, one for each chapter)
which give the answers to most of the questions in the exercises.
BasicCalculus.pdf
mathematica_nb_files.zip
The pdf file is designed to be printed on both sides of A4 paper without page scaling.
Blank pages are generated, where necessary, so that chapters always start on odd pages.

source_files.zip
The zip file contains the source files (tex, eps and other files) that are used to produce the book.

**Files for lectures** The following files (pdf with powerpoint effect, xls, zip for html plus gif, etc.)
were used by the author to teach the course *Basic Calculus* in 2006-2007 Semester 2.
The pdf files are better read in full screen mode (download and save them first, press Ctrl+L if they are not opened properly).
The html files illustrate some concepts using animations.
To open the html files, unzip the corresponding zip files.

Lecture_01.pdf
video1.wmv (download from HKU Math Dept)
Lecture_02.pdf
Lecture_03.pdf
Lecture_04.pdf
Lecture_05.pdf
Lecture_06.pdf
Lecture_07.pdf
Lecture_08.pdf
velocity.xls
Lecture_09.pdf
area.zip
area.xls
sequence_limit.zip
function_limit.zip
Lecture_10.pdf
Limit_Mistake.pdf
Limit_Summary.pdf
Lecture_11.pdf
e.xls
russell_paradox.pdf
paradox.pdf
Lecture_12.pdf
slope.zip
slope1.zip
secant_slope.xls
Lecture_13.pdf
no_slope.zip
Lecture_14.pdf
Lecture_15.pdf
Lecture_16.pdf
Lecture_17.pdf
Lecture_18.pdf
Lecture_19.pdf
Lecture_20.pdf
angle.zip
angle60.zip
angle-300.zip
angle420.zip
Lecture_21.pdf
sine_cont.zip
sine_x.xls
Lecture_22.pdf
limit_e.xls
interest.xls
Lecture_23.pdf
Lecture_24.pdf
Lecture_25.pdf
Lecture_26.pdf
Lecture_27.pdf
Lecture_28.pdf
Lecture_29.pdf
Lecture_30.pdf
MATH0802_introduction.pdf
*Note* Since the book is a revised version of the lecture notes,
some definitions and terminologies used in the book are different from that given in the lectures.
The following gives a few of such differences.

- In the lectures, functions are assumed to be differentiable. Thus critical point of a function
*f*
means a number where the derivative of *f* is 0.
- In the book, the term critical number is used instead of critical point and there are new terminologies like
local maximizer/minimizer.
- The definite for definite integral in the book is different from that in the lectures.
- In the lectures, primitive and antiderivative have the same meaning whereas in the book, they have different definitions.