" I graduated from
BGSU in 1974 where I took a year in Calculus. It always bothered me that
I did not fully understand the Fundamental Theorem of Calculus or more
specifically the connection of the derivative and anti derivative to
the theorem. As in reference to your preface, I memorized the procedures
without understanding what I was doing. After 35 years it makes sense
to me now. Thank you! " - Steve Wright
" Great text. Best and clearest resource I've found - especially for
topics requiring geometrical interpretation. Consulted others, Stewart,
Thomas, Keisler, etc. Exposition crystal clear. Others not. Many
" Mr Faraz, I must say that your site on understanding calculus is the
best resource I have seen on Calculus. I am doing a masters course in
mechanical engineering in New york, and I have been gone from college
for a while before continuing to my masters. I forgot a lot, but when I
found your site and started reading, I understood things i never saw
I understand why calculus is used in almost all
engineering courses, and I havent even gotten to half of your book.
Thanks a lot. "
" I am a high school physics teacher and am trying to teach the course by
having the students use as much logic as they can. I try to include as
calculus as I can without getting bogged down in the equations.
I like your approach to the subject of calculus and I am looking for
incorporate more calculus into the curriculum. "
" I really greatly appreciate your effort to make learning calculus
easier than ever. I used to do very excellent in mathematics when I was in
High School. Unfortunetly I get divorced with mathematics when I
joined Agricultural University where a freshmen calculus instructor used to
mock us by saying mathematics has little to do with farmers, this much
is enough for you (for excuses not get in to detail). That is almost
20 years ago. After that some times I feel very guilty of abandoning
Mathematics and Physics which I used to like very much and which I can
understand the logic behind of most seemingly complex formulas.
I went to library and tried to get the simplest
introductory book on calculus. But all the books I tried to read
were to complicated to me and I dropped the idea of doing mathematics
again. So I
start to browse the internet to get some tips on learning Mathematics
specially calculus. So I soon came across of this electronic book
which I found very help full to regain my mathematics skill and
knowledge. Thank you so much for writing this book and posting it on the
internet so that every one can have access free of charge. "
" Problem with many math text I have read is they are far too concerned
with correctness and proofs. This is fine once the subject has been
understood on a basic level, but to first learn Calculus you need a
example driven approach like you do.
I can only say I thank you for making this available. "
" I am from Greece, specifically Chania - Crete, just finished
architecture in Athens, and now I started a masters in the department of
Mechanics and Science of Materials in the Technical University of Crete.
That includes lessons that require deep understanding of mathematics,
and therefore I find your site very helpful. "
" I am a software engineer working for an investment bank. In
a pursuit to understand all the risk positions and corresponding
calculations, I started reading some stuff and soon came to know that I
need a deep conceptual understanding of calculus and linear algebra to
know the business. Actually I had learned the calculus when I was doing
my bachelors in India but it was blind learning without necessarily
understanding the applications in real life. I don't know whether it was
my inclination to study blindly or there was something lacking in
educational system which never made the subjects interesting. The way
you have explained Maths as a language of science to describe the
changes in situation seems so true to me after I started relating real
life problems to mathematical calculations. As of now I am done with
reading of first 12 chapters and already started understanding many
financial risk analysis computations. "
" I think that you must assume that your visitor actually has the
passion for math "or why he visits your site at all". So you should decrease
the long intro. which turned into pure philosophical essay instead of an
intro to the main subject.
Finally , I must admit it's really a good essay about philosophy "in
the wrong place" which i have really enjoyed. "
" I am a student of PUNJAB AGRICULTURAL UNIVERSITY (INDIA) and pursuing
B.Tech in Agricultural Engineering.
I am very much thankful to you for providing such a good material for