The Best Way To Learn Precalculus

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In this video I talk about the best way to learn precalculus.
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Not to plug the "competition" too much, but in addition to what TMS said above, consider checking out Professor Leonard's lecture series on Precalculus here on Youtube. He's a great lecturer (on par with The Math Sorcerer, IMO) and explains everything in detail... not skipping a lot of steps and assuming pre-existing knowledge, like a lot of math instructors. His channel, along with TMS, are basically my top two places to go on Youtube for math help.

Also, as a sidebar... things may have changed, but when I was in college, "Precalc" and "Trig" were not separate classes. In my day, Precalc was exactly the merger of "College Algebra" and "Trigonometry". At my school they labeled the courses as "Precalculus I" and "Precalculus II" where - loosely speaking - you could think of the former as basically a synonym for "College Algebra" and the latter as a synonym for "Trigonometry". Taught from the same book, of course. Then on top of that there were separate "College Algebra I" and "College Algebra II" courses which I think were intended for the folks who were not pursuing a major that required Calculus. Or you could do what I did and take all four classes, just to really immerse yourself in the stuff. 🙂

PhillipRhodes
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My precalculus tutor is showing up in 20 minutes! She doesn’t help me with a class she just teaches me the course to me

sennpowerhv
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Pre-calc ended me. I did great in high school algebra. Geometry. Algebra II. Then pre-call was like running into a wall build of obfuscation for me. I want to conquer it before I die.

theloniousMac
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If you are reviewing and not seeing the material for the very first time, George Simmons Precalculus in a Nutshell is amazing. It is really short (120 pages) - do all of the problems in each section and you will be on your way to calc 1.

Actually, you will end up proving a bunch of things along the way that most calc 1 students don't understand well.

MB-ffts
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Math has always been so difficult for me to comprehend. Even when I do well in it, I’m mystified. I do a problem, finish it, get it right and still wonder… “What in the heck did I just do?’

theloniousMac
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I am following the pre calculus book from Stewart, Redlin and Watson, I have been constant for around 6 months now and am already more than half way, I find the book really easy to follow, it has tons of exercises and, illustrations and also I love that it never gives formulas without explaining how to demonstrate it.

christianorlandoibarragarc
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Thanks I really needed this! I really can't wait to get to calculus it just all seems so exciting yet when I try to read my calculus book, it's like trying to read a book in a language I can't understand. I guess it just means that I must learn the prerequisites before jumping ahead of myself.

shenzu
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You are the best teacher and advisor of mathematics. I have been following your channel since 4 years and have learned a lot from you. I always used to wonder if there is any youtube channel which gives realistic advice to mathematics student and when I found you I was really surprised and happy. You are really great Math Sorcerer.

AvinashKumar-elcp
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I am about to start Pre-Calculus I for Spring Quarter in 12 days and this is PLATINUM GOLD thank you for sharing these insights Professor.

coffeeisthepathtovictory
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I focused on sharpening my algebra skills in precalc and memorizing trig identities and the unit circle. I'm hoping those 3 key takeaways will help me out next semester in calc.

tylermohr
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I remember having to drop out of Precalc cause the concepts and graphs were so new to me it was a jump from Algebra and Geometry. I was like what are limits and asymptotes when finding x = 0s. I didn't know they were just bounds where the graph just approaches but not touch the bounds, bounded above or below or left and right to the limit by concepts like -inf < x < inf or some convergent number, which is some continuous function idea. Then I was like what are logs or exponentials and why do square root graphs look like that. It was not until later that I learnt that they were rates at which something increases but at different rates. Trig was a jump from geometry when it came to studying angles and how they are used as signals or how the waves were drawing a shape of a circle when rotating the axis. There was another PEMDAS like neumonic to learn SOHCAHTOA. Then you got the laws of exponents and logarithms brush up and how they are inverses of each other and then simple algebra with linear algebra which is not really like the matrix multiplication of the tranposed inverses taught in subjects like Economics. You can tell this is just knowledge growing. Haha, anyway I retook it cause eventually Calculus is suppose to be a requirement all students have to meet, it all clicked and now the graphs help in understanding what equations it represents etc. I'm not a visual learner however, I understand equations better, but the graphs help so much that I understand it more now.

billylee
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Thank you so much, I'm so scared for pre cal, I'm going to be a senior in HS and I don't want it to effect my gpa for applying to colleges, I'm planning on self studying during the summer with my alg and trig book. Pray for me guys 🐢

sam-dmrh
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I used precalc by Sullivan and enjoyed it.

tod
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I'm currently re-reading "George F. Simmons -- Precalculus Mathematics in a Nutshell." A very clean and clear book. Though, it's small (a little bit over 100 pages) and I have to google some additional explanations, from time to time.

maxpreobrazhensky
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Im prepping for upcoming precalc class so yea this video helps

tigkokodevlosangeles
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I'm the same way great at rote memorization and spaced repetition but I often struggle to understand the conceptual side especially with word problems.

chriswilliams
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That's the class that got me (grade ave). My biggest mistake was taking the class as a summer course. Her tests were so huge they made my eyes bug out. 😨 I even thought the semi-final was a prank at first. When finished I thought I did ok. No.

vgcguwc
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Thank you very much, id did'nt saw the vid yet, i I already ordered a precalculus book.

SPIRITEN
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Haven’t been in a math class in 40 years. School started and daughter is lost in precalculus. Hasn’t had trigonometry yet. Any advice?

lordgldenstern
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I just bought this book, and one of your recommended geometry books. I absolutely love your channel! I plan on buying one of your Udemy courses also.

Philmyrage