Learn Math: Calculus, Differential Equations, and Linear Algebra

In this video I will show you how to learn Calculus, Differential Equations, and Linear Algebra. Here are the math books.
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Abstract Algebra Course

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Calculus 1 Lectures with Assignments and a Final Exam

Calculus Integration Insanity

Differential Equations Course

Differential Equations Lectures Course (Includes Assignments + Final Exam)

College Algebra Course

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Math Graduate Programs, Applying, Advice, Motivation

Daily Devotionals for Motivation with The Math Sorcerer

Thank you:)

[IanMcLaurin]

I received my first ever A in a math class because of your phenomenal differential equations playlist here on YouTube! Linear algebra is up next. Thank you for everything you do Math Sorcerer!

[argonwheatbelly]

I remember taking Calc I, II, and III over a year in college. That was followed by DiffEq and Linear at the same time. I still have the books. That was back in the early 80s.

Keep mathing!

[goetz]

I don't know if you've heard of it, but Algebra: Chapter 0 by Paolo Aluffi has become my favorite book on Abstract Algebra. You should check it out!

[surrealistidealist]

Velleman also has a fascinating Calculus book, subtitled "A Rigorous First Course". Similar to his proofwriting books, he tries to go into enough detail to help you arrive at all the main ideas yourself.

Here are some others you'll have a great time with:

Nitecki: Calculus Deconstructed: A Second Course in First-Year Calculus

Warner & Costenoble: Applied Calculus 8e

Ventre: Calculus & Linear Algebra

Kilty: Mathematical Modeling & Applied Calculus

Adler: Modeling the Dynamics of Life: Calculus & Probability for Life Scientists, 3e

As for DiffEQ and LA apart from what a Calc book would cover, I'll try to make another list later on when I have more time.

Btw, workbooks can be unbelievably fun and useful! Way better than solving daily crossword and sudoku puzzles! Lol

[Crabman-nqbb]

Industrial technology grad here: Before all that, I started first with Analytical Geometry. Understanding that made me understand Differential calc, then Integral, then Differential Equations. Differential equations was then followed by Linear Algebra. After all that there was no more pure math courses for our engineering program. It was all applications of all those maths within our respective engineering fields from then on. I am now self-learning higher mathematics that wasn't taught in University hence I go to youtube channels like these.

[Xenusgod]

You know I’ve been thinking about learning math again.. crazy how you popped up. What a blessing! Thank you!!

[guidichris]

Even with a degree in Electrical Engineering, we all had to do statics, dynamics of rigid bodies, and deformable bodies. Mind bending stuff, but tons of vector calculus and differential equations. I suspect Artur knows way more than he gives himself credit for. As usual, your recommendations are rock solid.

[aliensoup]

I learned ( and by now forgotten) calculus 1, 2, 3 not from a typical textbook, but from numerous sources online and a purchased course. One free / open source online textbook for calc 1-3 is
Contemporary Calculus by Dale Hoffman of Belleview College, WA. An excellent DVD course from the Great Courses is by Bruce Edwards, the co-author of a popular textbook by Larsen and Edwards. The MIT opencourseware classes are also good. Of course, there is the famous MIT online Linear Algebra course by Gilbert Strang. I found a decent self published Linear Algebra book called "No Bullshit Guide to Linear Algebra" by Ivan Savov, which is quite accessible and thorough.

[alvideor]

Standard math textbooks may not be the best way to go for self-study. The emphasis on formal proofs in calculus texts can be a real obstacle to understanding the underlying concepts, which are often intuitively simple. I think the formalist approach only works for those who are already proficient mathematicians. College students are forced to plow through it to pass the course but it's unclear how much sound understanding is actually produced.

[krwada]

For me it was:


Calculus 1, 2 & 3. (three texts, three courses)
Marsden and Weinstein

Differential Equations
Boyce and diPrima

Vector Calculus
"Div Grad, Curl and all that"
Schey

Transport Phenomena, (more differential equations and vector calculus!)
Bird, Stewart and Lightfoot


In Graduate School, (all these books are very math intensive)

Advanced Engineering Math
Kreyszig

Mathematics of Diffusion
Crank

Theory of Elasticity, (great book, truly brutal with the MATHS)
Timoshenko

Solid State Physics for Engineering and Material Science
McKelvey

Semiconductor Devices, Physics and Technology
Sze

Automatic Control Systems
B.C. Kuo

Control and Dynamic Systems
Takahashi

Introducing Systems and Control
Auslander, Takahashi



Today:

Deep Learning

Goodfellow





I am 66 years old, still working as an embedded systems consultant, and still learning.
Believe me, it never stops. Once you get bitten, you never stop. There are lots of stuff to
discover, explore, and it is always fun to go over stuff and make sure you still have what
it takes to make things happen.


I am currently a lifetime subscriber to brilliant.org, (Its OK, fun, but I do not learn a whole lot here)

I have yet to start taking courses over at Khan Academy, (signed up and created an account)

[vangrails]

I think that if you want to learn math for your own enjoyment then you should start with things like the infinity of primes and modular arithmetic and not calculus, lin algebra and differential equations. Learning things like graph theory and maybe group theory broadens the mind and it shows the unity of mathematics. Don't limit yourself to engineering mathematics.

[KenCunkle]

Thanks much to Artur for asking this. I'm kinda right there with him.

[saaah]

Thomas Calculus Early Transcendentals was my calculus textbook in college like 20 years ago

[outragedline]

im learning calculus with the gilbert strsng book and really liking it

[piscolero]

Awesome!!, If you had to add one for probabilities and statistics which one would you add?

[tharun]

Goodnight sir,
I had a big doubt as a high school student I am v v much interested in maths but i don't no even a proper basic and where to start or which chapter to start so that I could be able to solve up coming chapters
Can u help me out

[rushabhchawre]

Learning calculas from you to crack my llT jee advanced paper.

Please make such more videos for us.

Love from India 🇮🇳❤🇮🇳

[RobbieMbulo]

I have the Elementary Linear Algebra: 11th Edition. Can I study it in place of the 2nd Edition?

Kindly advise.

Thank you....

[awwaluyakubu]

Calculus And Analytic Geometry by Howard Anton, how did you miss it, this book is like the holy grail of calculus, Thomas' Calculus? never heard of but am sure as hell gonna check it out and please kindly checkout Anton's Calculus

[batmania]

Is there a program where you can personally help me learn advanced math? I’m the cfo of a large corp and would love to learn. Jeff