I am constantly updating this website with additional notes, as fast as I study and compartmentalize new information into notes and rules. See the (manually changed) Last Change at the bottom of the page, referring to changes made to this specific page. There are more subcategories & other helpful pages in this category:
Mathematical Summaries
Mathematical Symbols
List of Math Equations
Algebra II
“Can the reader say what two numbers multiplied together will produce the number 8,616,460,799? I think it unlikely that anyone but myself will ever know.”
- William Stanley Jevons.
Precalculus
“Can you imagine young people nowadays making a study of trigonometry for the fun of it? Well I did.” - Clyde Tombaugh.
Single Variable Calculus
“It is here, at this very moment when the first utterly trivial differential equation is solved, that the secret form of words is revealed that makes modern science possible” - David Berlinski.
Multivariable Calculus
“It's not necessarily true that either of these is easy to compute, but atleast you've learned a secret of the universe, which is some consolation.”
- Jim Wiseman.
Linear Algebra
“He describes writing his linear algebra text as a "wonderful adventure" and says his motivation for writing the text was that, at the time, most math courses were missing the importance and beauty of the subject and had to change.”
- Amy Beth Prager (Interview with Dr. Gilbert Strang).
Differential Equations
“They think that differential equations are not reality. Hearing some colleagues speak, it’s as though theoretical physics was just playing house with plastic building blocks. This absurd idea has gained currency, and now people seem to feel that theoretical physicists are little more than dreamers locked away in ivory towers. They think our games, our little houses, bear no relation to their everyday worries, their interests, their problems, or their welfare. But I’m going to tell you something, and I want you to take it as a ground rule for this course. From now on I will be filling this board with equations. … And when I'm done, I want you to do the following: look at those numbers, all those little numbers and Greek letters on the board, and repeat to yourselves, “This is reality,” repeat it over and over.”
- José Carlos Somoza, from the book "Zig Zag".
Discrete Math
Abstract Algebra
“Later there will be, I hope, some people who will find it to their advantage to decipher all this mess.”
- Evariste Galois.
