Math You Need For Calculus

[@martinhaub2602]

One of the best bits of advice I ever got: if you're failing a math class, it's not that class you need to repeat: it's the one before it. So many students of mine struggled in calculus because they never learned their precalc and learned it really well. I enjoyed teaching precalc using the Stewart book, but the Swokowski was really good, too.

[@pichirisu]

I’d argue it is also the interpersonal communication skills and language utilized as well, I’ve excelled in courses but then failed in others due to poor professor communication skills and different use of language I didn’t realize I already “knew”, but didn’t know through use of certain language to describe some-maths.

[@brcdube]

Brilliant advice. Probably why I didn't struggle with calculus.

[@channelsixtyseven067]

Agreed. Maths is like building a brick wall. The foundation and each layer of bricks, has a profound influence on each subsequent layer.

[@Z-Diode]

@@channelsixtyseven067 This! You have to be patient in order to prepare for the higher orders in maths. There ain’t no cutoff.

[@channelsixtyseven067]

@@Z-Diode Agreed. There are no shortcuts. Maths quickly finds out your background deficiencies. When students start failing it causes them trauma and becomes a vicious cycle.

[@83jbbentley]

I’ve never taken Calculus in my life. But I’m working through College Algebra, Trig, and Pre-Cal. I’m retired and having nothing but time. I’ve decided to devote my free time to mathematics.

[@TheMathSorcerer]

that's awesome:)

[@masternobody1896]

@@TheMathSorcerer to me real analysis is easy cause 24h of hard work

[@brcdube]

Good luck!

[@arnabdas7019]

@@masternobody1896 Can you please explain & elaborate how real analysis is easy for you?

[@benjaminhogan3157]

...I thought I was the only retiree doing this...LOL

[@kkuznetsov2424]

This book is very rigorous. I just got it last week and its helped me much more than my teacher and any high school textbooks. Highly recommended

[@schrodingcheshirecat]

I can vouch for this book 100%, I have the same edition. I finished the entire book having worked MANY problems from every chapter around 10 years ago, and then re-reading (skimming through) each section and doing more problems around 6 years ago for fun. I put it on equal footing with Blitzer. Last year when I thinned out my books, I donated Blitzer and kept this one.

[@TheMathSorcerer]

Cool

[@drewwilliamforbush2927]

I dropped my Calculus class this semester because I was worried about getting a low GPA and losing my scholarship. I have started to work through College Algebra, Trig, and PreCalc courses on Khan Academy. Your videos have made me realize I can use books as a key resource to learning mathematics. Like others, I assumed that lectures and homework were the only way to learn math and that textbooks weren't useful. I purchased a used copy of this textbook and will study rigorously and tackle Calculus with confidence next semester. I will proudly add this to my shelf as the first in a long line of mathematics books I hope to order next.

[@folgee7368]

Did you end up retaking your cal course?

[@raul0ca]

When I went back to school I tested into Precalc because like an idiot I didn't study for the placement exam. It was a night class and there was only one other student. He told me it was his third time taking the class. I thought, oh no, there goes my comeback tour of college. Then the instructor showed up. She was the smartest supermodel I've ever seen as she did some problems on the board. Then she made us get started on the homework. My classmate immediately raised his hand and said he needed help. So she sat next to him and walked him through it. And so it went for the rest of the semester. I still don't know if he was a genius or a fool for love.

[@AndrewRock3431]

Thank you! As someone who’s had an Achilles heel for mathematics, these videos truly help me out. You’re a godsend, sir! 😊

[@Obzrve]

Got two precalculus books. Trying to clep precalculus really trying to learn it myself. I’m going in to the engineering field so I have to learn it. 😊

[@mitrikoudsi8060]

Exactly what I needed!! Thank u for posting!

[@shlepeekeg1412]

This book is amazing! So Far I have learnt functions, polynomials, trigonometry and identities (identities were diffucult in terms of the large equations) and logarithms. I am moving onto calculus next. Thankyou!

[@thefourthbrotherkaramazov245]

All hail James Stewart, the Lord of Introductory Calculus.

[@O_Capivara]

The lord of calculus itself

[@eflat6522]

I had to check my shelf to make sure you did not steal my copy😀 My copy is 5th edition btw, and I paid 5.95 for mine at a local used book store.

[@TheMathSorcerer]

LOL!

[@guitarista666]

When I took calculus, I was fortunate in that I had good prep for it. So, calculus itself was something of a joy ride.

[@garykim313]

My ego was elevated when you said your friend is smart as I have been saying the same thing ever since I took precalculus 18 years ago.

[@AlongtheRiverLife]

I have started buying his and other books, used, and solutions manuals.

[@anniesizemore3344]

I have the 3rd edition. It has a violin on the front. It looks like its going to be the hardest math book I've ever tried. Right now I'm going to work my way through Stewart's Precalculus, Sullivan's Algebra & Trigonometry, Blitzer's Introductory & Intermediate Algebra for College Students and when it arrives, Stewarts Calculus as much as I can in 2 or 3 months. I'm kind of on a time limit right now with all this math. I need to get through as much as possible in time to apply for online classes by April. I still think I'm probably going to need tutoring in Calculus. I'm going to try to take online classes in BS middle school graded education with a specialty in mathematics.

[@thelight9492]

Check out khan academy (free, no sign up required) too. It has videos and practice on all high school math and some college level math. The videos are pretty helpful.

[@infinityentity3128]

Good luck

[@anniesizemore3344]

@@infinityentity3128 Thanks. I now have Stewarts Calculus book. But I've put those aside to work my way through Bitzer's Introductory & Intermediate Algebra for College Students and Precalculus. I bought Blitzer's books Precalculus and his Algebra & Trigonometry. They are essentially the same book except Precalculus has a section on calculus at the end. I suggest the Blitzer books for anyone that wants to self study because they are so easy. I'll probably still dip into Stewart's Precalculus and Sullivan's Algebra & Trigonometry in between the Blitzer books. But right now the Blitzer books are my main source of doing math problems. Actually, I was flipping through Stewart's Calculus and I think I can do some of it without trouble. I don't want to say it looks easy, but some of it I do think will present me no trouble.

[@infinityentity3128]

@@anniesizemore3344 which book would you recommend for someone that is trying to learn precalculus

[@anniesizemore3344]

@@infinityentity3128 Robert Bitzer's Precalculus if you are self studying. But these videos on this channel say James Stewart's book Precalculus is the one to study to prepare for Calculus. The videos on this channel say the Stewart books Precalculus and Calculus are the ones the colleges teach from. For me the Stewart book Precalculus was sort of hard when I started it recently. But I'm self studying with hopes of taking online math classes. My point is different situations call for different math books. I prefer the Blitzer books because they are easier. You might also try Sullivan's Algebra & Trigonometry like these videos on this channel say. I think these videos say colleges teach from Sullivan's book too. If you want easy instructions, then I suggest Robert Blitzer's books. His Precalculus looks easy.

[@kurtiscobain3224]

Just ordered! It’s going to be my first math textbook!

[@JeffRyman69]

Back in the 1960s in small rural Kansas high schools like mine there was no precalculus class or any AP math classes for that matter. However, I had good teachers for Algebra 1 (freshman), geometry (sophmore), Algebra 2 (junior), and Trigonometry (senior). I transitioned to Calculus I with no issues.

[@benhill3098]

I got this book for 5.50 USD used, 4th edition, same cover design, with the interactive CD. Anyway, I wasn't sure what to make of it, but after watching this review, now I know this will be one book I'll use as a supplement for my upcoming pre-calc course this coming October 😄Thanks!

[@folgee7368]

Where did you purchase your book?

[@benhill3098]

@@folgee7368 Thriftbooks online.

[@Mathematica702]

Yes that’s my favorite pre calculus book because it has so many topics & tons of problems. Nice one!

[@DonJaKobe]

this has the most beautiful cover I’ve seen on a textbook

[@channelsixtyseven067]

I have the International Edition 6E and it's teaching manual with all the answers to the questions. The same goes for Stewart Calculus 6E International Edition and its two teaching manuals for single and multi-variable calculus. It's a waste of money getting the latest and greatest of Stewart. They basically contain all the same information, but arranged differently.

[@Jajajajjajakakakakkakakakakak]

Thanks for the recommendation. This book has been great so far!

[@surrealistidealist]

Larson actually has a really interesting textbook called "Calculus I With Precalculus". I recommend checking it out!

[@TheMathSorcerer]

Oh that's cool! Thank you!

[@SuperYoonHo]

Thank you! YOu rock MS!

[@royalfinest]

I had both Sullivans and Stewarts, side by side. I ended up relying more and more on Sullivans as I progress. But you cant go wrong with any of them. Larsons is also worth mentioning for AP level.

[@Felipe.Taboada.]

Tengo ese libro y es muy claro en la exposición de cada concepto. Un saludo!

[@TheMathSorcerer]

Saludo:)

[@robertmorrison1657]

We used this in my highschool precalculus class last sememster, So I thought this was really cool.

[@TheMathSorcerer]

cool

[@robertmorrison1657]

@@TheMathSorcerer It had things like statistics in there, which I thought was really cool for a preclalculus book.

[@getshorty7549]

I love the book cover.

[@AngelMedina-eh1rb]

I prefer the book by Micheal Sullivan

[@arshit1234-x1q]

I am from India and studying in class 12, after seeing these questions they are super easy and anybody who has taken maths in class 12 can easily solve it, india the level of question is very very high..

[@AmNotHere911]

Questions: 1) What's the best introduction to elementary functional analysis? Is it Shilov's? 2) What should be studied after basic topology? 3) What's the difference between analytical geometry and differential geometry?

[@enigma7791]

It's only when I watch U Tube recommended vids like this that I realise my math days are well behind me!

[@bradleykurtz2605]

I am tried to work through Stewart's Calculus and got stuck in the algebra diagnostic. So now I am deciding on a book to use to bring me to where I need to be.

[@crazypvpHow]

I'm a freshman in precalc and we use this very book (the 6th edition)

[@TheMathSorcerer]

nice:)

[@martindyulgerov5058]

Great video,and thanks for there review! Quick question though - does the book require some media supplement as well? I've noticed some icon in the book like a CD or something.

[@Wandering_Horse]

No, they would add a cd in as a supplement that a teacher could use for extra assignments. All modern math text books will have an online code that you can use if and only if the instructor sets it up. Pearson has MyMathLab which I was able to use and its basically all your homework assignments online and it will help you solve the problems as needed and when you're done it is all scored and sent to the teacher. But the short of it is No there are no required external media for this math book.

[@cameronwilson1388]

Deborah Hughes-Hallett also has a precalculus book "Functions Modeling Change" that contains limits and matrices in preparation for her university Calculus textbook, which is my favorite

[@pygmalionsrobot1896]

I have James Stewart's 'Calculus" which is excellent, but I prefer (and learned from) Salas and Hille.

[@johnpjohnson8112]

This was my Precalculus Textbook in 2003

[@TheMathSorcerer]

cool

[@zgennaro]

The 7th edition is excellent

[@seraph127]

I have the 6e of this book. It’s pretty good.

[@KamalKumar-ng6iz]

Sir make a video on geometry books for graduate students👩‍🎓

[@billmorrigan386]

This is an excellent book. That said, Larson's books and Swokowsky's books on precalculus and calculus are also excellent. I see almost no cons in these books for their size. However I would prefer and recommend slightly more detailed books of the same authors that come under the title Elementary Algebra and Trigonometry. Although there are no apparent cons, all these books (including calculus) really lack challenging problems. They could have added a handful of such problems. Sometimes I do see such problems in such books (calculus, precalculus, college algebra, elementary algebra and trigonometry) but most of the time no tough problems are present at all. By _tough_ I don't mean something really tough or Olympiad level but some beautiful problems and concepts that give a lot of enjoyment when you solve it on your own. Just plug-and-chug-problems are not gonna cut it for real understanding. No, these books are not like that (the have a lot more than just plug-and-chug problems), and they contain some nice problems but usually these are easy too. Bottom line: these are excellent books and they are not supposed to be advanced or contain stuff like that but after studying and solving through a good precalculus book (especially one that's more detailed and comes under the title Elementary Algebra and Trigonometry), understanding calculus will become a whole lot easier.

[@abhishekthakare1862]

Thanks for your analysis!! I would probably go through the books you mentioned before starting with Calculus

[@jameyatesmauriat6116]

I have Stewart's calculus, although i can't learn calculus from it but it has really very challenging problems, including those for applications in physics and engineering.

[@eswyatt]

I think there should be a book and topic called "pre-differential equations". One third the length of Stewart's calculus book. Nobody would miss the omitted topics, and it would really piss people off.

[@matioesperante7518]

Hi Are any of the 3 authors still alive? I know Stewart isn’t unfortunately- please can you try to interview any of authors to find out how they became so good at maths, how much effort and find out how much they love maths

[@Lemurai]

Pre-calc is just college algebra with trig concepts, some community colleges just include the introductory trig (basically what you need to know) in with college algebra versus having a separate “pre-calc” course. I think it’s good because you don’t need to learn a treatise on plane trigonometry to pass calc 1. Now calc 2 on the other hand *cough*, *cough*…

[@scottmandel6536]

You pointed out some of the pages giving a glimpse of the history of mathematics. Would you please do a video on some of your favorite books covering the history of mathematics? Thanks!!

[@az_t4758]

is precalculus the same as college algebra and trigonometry ? I mean if you do the second or vice versa there is no problem starting with calculus after

[@tararajooot1245]

Plz also do some research on indian mathematics other than ramanujan like bhaskaracharya

[@nmionline9003]

We use Sullivan.

[@TheMathSorcerer]

Nice

[@Nidhsa]

My school has a weird math curriculum. It goes from functions, advanced functions, to calculus and vectors

[@manfredcaranci6234]

Our school uses Precalculus: A right Triangle Approach, 5th Ed., by Bittinger, Beecher, and Penna, also available from Pearson. Nice, readable book for self0study, with lots of problems. However, this textbook does NOT include material on limits or other early calculus topics as does Stewart.

[@reverenddick8562]

I bought the 'The Art of Computer Programming' and shortly there after found reading 'Concrete Mathmatics' would be a good prerequisite. Then found the same step to Calculus. I knew my Algebra is lacking, so got both Precalculus and Calculus by James Stewart. I think I accidentally planned my next 5 years. 😆

[@shaymaashawkatal-shakarchi2789]

Thanks

[@koenvandenberg1623]

I just did some homework in this very book, pretty scary :)

[@yomommamadthicccuh]

if you could make a video on the kalman filter, I'd die a happy man.

[@nonhlahlahappiness515]

Thank you 😢❤

[@AviPars]

Can you add the isbn numbers... also please do a video about how to find cheap used books and sites besides Amazon you use !!

[@shero3896]

Is the 7th edition as good as the fourth Sir?

[@TheMathSorcerer]

It's probably better as it has more content and less typos:) I don't know for sure though, but yeah, I'd say try it!

[@shero3896]

@@TheMathSorcerer Alright, thanks Sir for the quick answer

[@jeremyedwards8286]

I actually this book and his famous Calculus book as well.

[@joelreed664]

Stewart also has a book "Algebra and Trigonometry" that is basically a Precalculus book. They have a lot of the same topics so why did he write two precalc books?

[@n0mad385]

Honestly, the only skills I needed before taking calculus was more or less basic Algebra and knowing Trigonometry related stuff. For instance, knowing HOW to substitute some expression into a variable and knowing laws of exponents

[@tmann986]

You take calculus to finally learn algebra/trig 😂 That’s when I realized I brain dumped pre-calculus during the summer break. 😢

[@davidsoto4394]

Where did you get that textbook? I have been trying to check it out from the library and I have not been able to find it.

[@TheMathSorcerer]

I think I got it on amazon. It was very inexpensive.

[@pichirisu]

Tbh the only real math you need for calculus is really good algebra and trig identity skills. The rest is short-hand rules that let you skip around calculus very easily.

[@tyricecdot]

This book was good but my pre-calc course didn’t have time to go through enough of it to help with Calculus. It was more of a Trig course.

[@philippemts88]

Do you have any recommendations on basic math (algebra, geometry and trig) books with non-standard challenging problems?

[@TheMathSorcerer]

The book basic mathematics by Lang is very different. I don't know that the problems are super tough, but they are fun and it is an interesting book. The big downside is that it is expensive.

[@thatcrazywolf]

Just bought on eBay for less than $10 with free shipping

[@jamorant7132]

Ty

[@maheshpadalingam3137]

I have already bought Thomas calculus for my birthday today. With no pre calc. I don't know much of algebra or trig. I'm dead.

[@mustafamursheed1878]

Can I self-study this book?

[@TheMathSorcerer]

Yes, absolutely. This book is excellent for that:)

[@tararajooot1245]

Plz take questions of imo olympiads

[@mustafamursheed1878]

Can a high school student study this full book by only self-study?

[@sunglee3935]

Why cover so much algebra 2 in a precalculus book? It should start with trig.

[@soupypunk-pk5ys]

Trig was so much more difficult for me than calculus is.

[@maxplanck9152]

that book safe my life

[@maxplanck9152]

but it seems very basic to me

[@anuragmalik2145]

I actually like Sheldon Axler's book much better. This one just lists the formulas without going into any reasoning behind them.

[@philippemts88]

I'm using it to review some trigonometry stuff and I have to disagree. Most formulas are deduced and explained in Stewart's book, at least in the last version published.

[@anuragmalik2145]

@@philippemts88 I haven't read the trig part so I don't know but I read the first 200 pages of the book and it felt like all my love for math might diminish if I continue reading this book

[@VinodKumar-wt3nt]

Brother please make a video on Gs Carr book (A synopsis of Elementary results in pure and applied mathematics)🙏🙏❤️❤️

[@AlbertodeVictoria]

is there a book that teaches mathematical language? I mean, how to read math sentences. Its a fundamental problem to learn any math.

[@소피-q2l]

Why does this come up when I search for ASMR?

[@TheMathSorcerer]

Oh wow that is strange!

[@jacobdaniels3246]

this is just ASMR for math and science students

[@keerthana7353]

I just wish these books followed the metric system CRY

[@sergeydukman5832]

I want this book

[@crazypvpHow]

A lot of this honestly just feels like Algebra II

[@TheMathSorcerer]

yup!

[@Narendra_Singh09]

Sir please provide statistics books for beginners love from India ❤️🥰💯

[@cyacyi779]

How long to finish this book?

[@aldcubing9066]

Why does this feel easy?

[@cmonclair27]

"..and then enter trigonometry." 😱

[@willtorracker8136]

Podrías hacer este video en español?

[@robertlast5189]

I don't like the name "precalculus" either. It implies an inferiority of this collection of maths subjects compared to calculus per se. I enjoy this maths in its own right.

[@screenapple1660]

Anyone know how to make Alergbra or Calculus for video game ? Make people love math. not worried about exams and test. something practical application and easy to learn like visual programming into game instead of creating WolframAlpha or C++ programming language. Turn math programming into video game like Unity or Unreal.

[@robertvarner9519]

I have to laugh at the sniff test you give your books. Jared Polin, who does camera gear reviews, sometimes will give a lens a sniff test.

[@TheMathSorcerer]

Oh wow haha that’s cool.

[@83jbbentley]

Fro Knows Foto

[@fernandocupil.6463]

Es verdad que algunas de las soluciones a los ejercicios estan mal, es decir, they are wrong.??

[@TheMathSorcerer]

Hmm, no creo que hay muchos errores. Libros como estos que son bastante nuevos tienen menos errores. Tambien es la edicion 4, quere decir que los errores se han areglado. Escribo muy mal:) Espero que me entiendas! Gracias:)

[@fernandocupil.6463]

@@TheMathSorcerer Muchas gracias por tu respuesta bro. Voy a apartar un dinerito y voy a comprarlo a través de tu link afiliado. Saludos!

[@fnarmusiccomposition3418]

i know that a set it a colletion of elements but i dont know what to use them for

[@fnarmusiccomposition3418]

is it to group things that have a relation like dogs and cats are both pets

[@levenkasaackerman3246]

Mr. Sorcerer, have you heard of IIT-JEE exam, i.e. JEE Advanced exam in India? It would be really helpful if you could build a study plan to cover that syllabus in 4-5 Months. PS: Students take 2 yrs to complete that syllabus on avg.

[@stikfamaster2]

Hey @TheMathSorcerer have you seen Paul Dawkins' Math notes He's a professor at Lamar University, and has compiled a great website full of resources for learning math, including cheat sheets, full solutions to problems, and is a really great resource for learning Math. I'd say to check it out if you haven't yet!