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The texts by Stewart and Larson are the two most common introductions to calculus, and both are fantastic. Calculus is such a powerful tool that you don't need to worry about tailoring it to one field. Just as addition and multiplication will be used by economists and physicists alike, so will integration and differentiation.
Damn, son. That's way bigger than my guesstimate.
The amazon prices I checked out pinned the collection closer to $400, which granted is still really, really impressive.
In case you're curious this was my textbook. It's come down by a lot in price over a couple years. Brand new it was $365 in the shrink wrap from my school's store!
Eh, either way I'm wrong, just by a different amount.
Would you be open to using textbooks? I used this book during my undergrad and found it really helpful! It has tons of practice problems for you to try out. I'm not entirely sure if they follow the videos in the playlist 1:1 but you could always just skip to the relevant sections in the book. I haven't personally used it myself but have also heard great things about this. Hope it helps and good luck!
I've worked in the health sciences for some time now.
If you really want to go through what I would consider minimal and sufficient for the work I do, I would recommend:
- Get through some Calc. I and II at minimum (e.g., Stewart's Calculus, chapters 1-8, maybe 11, maybe 14-15).
- Read through Wackerly, Mendenhall, and Scheaffer's Mathematical Statistics with Applications, 7th ed. (and I recommend the entire book)
If you want to pursue Casella and Berger after this, then give it a shot.
I would say start with learning how proofs work. They can sometimes be confusing at first and (in my experience at least) calc doesn't do a great job of explaining them.
I learned from a book called A Transition to Advanced Mathematics it's been around for years, I know you can find copies of it for ~$5 without much trouble. It's got a good introduction to basic proof structure and ideas as well as dipping it's toes into combinatorics, algebra, analysis, and topology.
Another book worth looking into might be Book of Proof I personally don't have much background with this book, but it's the one used by my old university for their introductory course to proofs.
Wait, wait, my point was supposed to be, if you've never seen calculus before, do NOT use that book. Read it next year! For now, use something like this: Stewart's Calculus. Get really good at calculating. Have fun!
The physical copy (the UW version with the Space Needle on the front) only covers 124 and 125, but it comes with a WebAssign code that works for 126 as well, and I believe that means you'll still have ebook access for 126. If you learn better from physical books, I would definitely recommend paying the extra $7.
There is a full textbook which covers all three classes, but it's way more expensive and you'll still have to pay for WebAssign. So don't get that.
No problem. And Calculus really isn’t that bad if you can find a good book on it. This one by Stewart is easily the best. If you want to ignore the math part then, you might be able to get away with simply reading the Holton book for its concepts and ignoring the equations. Up to you.
I see, makes sense.
And apologies: I said Taylor, I meant Stewart.
So my recommendation would be to start with pretty much any edition of Stewart, like for instance https://www.amazon.com/Calculus-Early-Transcendentals-James-Stewart/dp/1285741552/ref=sr_1_4?crid=27TLBWSQDEBRF&keywords=stewart+calculus&qid=1666117266&qu=eyJxc2MiOiIzLjAyIiwicXNhIjoiMi45NyIsInFzcCI6IjIuOTYifQ%3D%3D&sprefix=stewar...
The later editions just exist to be more expensive but don't really offer any additional value.
Once you've mastered everything in that up to Taylor series, I would maybe switch to a book on Linear Algebra. There are many good ones, and you might just "try out" the books by Strang, Lay, Friedberg, ... if you're really ballsy you can attempt Axler's. Axler's is not recommended as a first book, but you might get something out of the attempt at least.
Anyway, it's hard to imagine you'll even get to the Linear Algebra book before class starts. But if somehow you manage to get through Calculus and Linear Algebra, a very profitable thing to do is look into logic and discrete math. (This would cover, for instance, combinatorics among other things.) A good book for that is by Rosen.
https://www.amazon.com/Calculus-Early-Transcendentals-James-Stewart/dp/1285741552/ref=mp_s_a_1_4?keywords=james+stewart+calculus+8th+edition&qid=1661608473&sr=8-4 this is book essentially, I’ve tutored this for years know and I’m actually surprised you need to know the techniques since the application is more in depth, good luck!
This is the textbook I used when taking AP calc AB and BC.
Stewart’s Calculus is also a pretty common book at the university level.
Probability and Statistics for Engineering and the Sciences https://www.amazon.com/dp/1305251806/ref=cm_sw_r_cp_api_glt_i_A6J5WC1TG3SACZ2HC32R This is the one we are using for stats 2 I am a senior in college
I liked this book when I was younger: https://www.amazon.com/Transition-Advanced-Mathematics-Douglas-Smith/dp/0495562025. It will help him make the jump from what's typically available in high school to what he'll encounter later. People are recommending Spivak's calculus, which is awesome, but I'm glad I had the one I linked under my belt before reading Spivak.
Hi, definitely go for it, I had bought book Calculus by James Stewart and it's amazing in my opinion. Things are explained in detail with lots of pictures and graphs so you can understand it better. Not to forget, there isn't lack of evidence, exercises and demonstrations how it's used in praxis.
Here's legal (at least I hope) copy of Precalculus by the same author, so you can see what it might look like and decide whether it's of optimal for you:
ttps://www.stitz-zeager.com/szprecalculus07042013.pdf
And Amazon here:
I wish you the best
The book that was used in my Intro to Proofs course was A Transition to Advanced Mathematics by Smith, Eggen, and St. Andre. Maybe the difference in presentation will make things click, but what I think might help better is a course or lecture series - like this for example. Both Book of Proof and the textbook I used start from what I'd call the basics - sets and propositional logic. Most textbooks will.
You might also want to look into materials for Discrete math courses. These tend to be courses mainly going over logic and sets, and are what a lot of students take before their Intro to Proofs course. That extra focus on those topics may be what you're missing.
What's your math background?
My general recommendation would be to start with an intro-level stats book. I think Devore's Introduction to Statistics and Probability for Scientists and Engineers (Amazon link) is a good one. Older editions would be fine for what you'd need.
There's also an online book called ModernDive which goes through statistical methods and R programming together. I'm not sure if that goes as deep on the math though, Devore's book has some sections with a bit of the calculus.
After that, a math-stat book would be a decent choice. The book you mentioned is described as a graduate level book. Usually as a first intro to the topic, people recommend Wackerly
oh, got it. thx for clarifying. could I also just buy it off amazon: https://www.amazon.com/Calculus-Early-Transcendentals-James-Stewart/dp/1285741552/ref=sr_1_1?keywords=Stewart%27s+Calculus%3A+Early+Transcendental%27s+book+%288th+edition%29&qid=1553993600&s=gateway&sr=8-1
Read this before you buy anything! I had Mazzullo last semester for STAT400. We did not need a WebAssign code, and it was honestly never mentioned in class, so I have no idea what it's even good for if you have her. This is listed as recommended, not required, for all sections, so you most likely don't need it. Only buy WebAssign if your professor is grading homework for credit through it!
The textbook (listed as required for all sections) is a custom version that just has the first half of the book (which is all that's used in STAT400). One of the later classes requires the whole book. This is the full book, and you can either rent it on Amazon ($30 right now) or "borrow" a digital copy from LibGen depending on your preferences.
Let me know if you have any other questions about the class.
Buy the Holy Bible James Stewart Calculus: Early Transcendentals. It’s ~1000 pages but it goes from basic arithmetic up to differential equations with baby steps. Watch Khan Academy if you’re stuck on a problem and watch 3Blue1Brown for intuitive understandig of concepts. If you have issues finding the book online I can dm you for a link. Good luck on your journey!
Stewart.
https://www.amazon.com/Calculus-James-Stewart/dp/1285740629
It's on its 8th edition so if you don't need it for class get on older one of eBay or something. It'll cover nearly every intro topic of Calc and give a good base.
Here's a typical textbook:
https://www.amazon.com/Calculus-Early-Transcendentals-James-Stewart/dp/1285741552/
If you buy a new copy it costs $240, the purchase option defaults to either rent or buy used because even Amazon knows how stupid that price is.
https://www.walmart.com/ip/onn-50-Class-4K-UHD-LED-Roku-Smart-TV-HDR-100012585/300694285
Here's a decent TV for slightly less money.
I'm going to have to say the schools are innocent this time.
I like this calculus book: https://www.amazon.com/Calculus-7th-James-Stewart/dp/0538497815
And this is Halliday and Resnick https://www.amazon.com/Fundamentals-Physics-David-Halliday/dp/111823071X/ref=sr_1_3?crid=9SK20IQF11Z5&keywords=halliday+and+resnick+fundamentals+of+physics&qid=1567697861&s=books&sprefix=hallida%2Cstripbooks%2C124&sr=1-3
Are the topics actually the same? I watched the first 2 videos and we didn't really discuessed those in my class (I'm taking Crunk).
I'm struggling with the textbook that was assiged to us and I'm looking for another resource that I could use.
This is the book we have:
Probability and Statistics for Engineering and the Sciences https://www.amazon.com/dp/1305251806/ref=cm_sw_r_cp_apa_i_zwgxCb29E996J
Fortunately I attended a smaller school. Most of my classes were in the sub 30's, except a few of the more prominent general education courses like Chem or the like. The instructors were open to you using their non-instructor copy during office hours. Most of my classes (CS degree by the way) didn't require a book, or I jsut didn't buy it, except math and a few others that used the online materials. I would only buy the book when I 100% needed it. I think the most expensive book I bought was my Calc book, but it did cover all 3 of my calc courses and was a wealth of knowledge i still keep on my bookshelf. This is that book, except the newest edition.
One of my CS professors for our Algorithms class used a book that was like 4 or 5 versions old, so there was enough of them still around used, the PDF was easy to find, and none of the information had really changed in that time.
Textbooks in the US are priced for what students will pay, not for their actual cost, because the textbook market isn't a free market for students. You either buy the course's reccomended textbook, or find some other way to access the material. You can't shop between different publishers of the same book, unless you start looking at international editions.
There's two textbooks choices, both by Stewart. Basically if you bought the textbook for 135/136 that doesn't say Calculus of Single Variable or Early Transcendentals on the front (ie. <em>not</em> this book with the blue stripe) you already have the textbook for the course (if you have this textbook it will just say 8th edition and will have a red stripe and it will look like this)
Otherwise, you use a textbook which is basically the rear half of that full textbook sliced off, I don't know the name for it as I used the full one, I do know it is a Stewart textbook and I saw people using it. They could also have been really confused and trying to learn from the 135/136 textbook, I'm not terribly sure.
If you get the full textbook (which I think is double the price if you get it legit?), you will cover the last few chapters of the textbook, skipping the Infinite Series one. I'll list the chapters below that I remember we covered. The numbers will be from the full textbook, not from the sliced half one (that starts at chapter 1 I believe although again, not sure)
- 10 Parametric Equations and Polar Coordinates
- 12 Vectors and the Geometry of Space
- 13 Vector Functions
- 14 Partial Derivatives
- 15 Multiple Integrals
- 16 Vector Calculus
We did not cover any chapters on differential equations to the best of my knowledge.
Edit: Removed a word
Gallian is a good intro:
https://www.amazon.com/Contemporary-Abstract-Algebra-Joseph-Gallian/dp/1133599702
Doesn't require to much background, but is a good intro to the subject. D&F is a great book, but feels more referency
I studied from reading the stewart book and looking at a ton of old midterms and finals. I think you get around 3 hours but I don't remember exactly. From what i saw people say online it's usually harder than the old finals, but for me the finals were a lot harder than the exam... so difficulty probably varies. And yeah it's formatted exactly like the old finals, like 3 or 4 free response and I want to say around 15? (big error bars) multiple choice.
I didn't take 231 but so I don't know if it's exactly the same but you def have the same amount time since everyone takes it in the same room.
Good Luck!
All I know is that they're no longer doing Fitzpatrick or Chartrand (according to what a professor told me). Here's the new book. I think it's possible the course will be less analysis-focused. I think they should incorporate some abstract algebra into it. This goes into effect next semester by the way.