AP Calculus AB and BC Unit 1 Review [Limits and Continuity]

► My AP Calculus AB and BC Ultimate Review Packets:

Before you watch this video all about Unit 1 of AP Calculus AB/BC, Limits and Continuity, make sure you get the study guide that goes with it (it's free!). The study guide is part of the Ultimate Review Packet, which I made to help you study for AP Calculus AB and BC. It has summary videos, study guides, and practice questions, for every unit, plus AP practice exams.

Skip to section:

0:00 - Introduction
0:56 - 1.1 Introducing Calculus: Can Change Occur at an Instant?
6:53 - 1.2 Defining Limits and Using Limit Notation
9:23 - 1.3 Estimating Limit Values from Graphs
15:05 - 1.4 Estimating Limit Values from Tables
17:30 - 1.5 Determining Limits Using Algebraic Properties of Limits
20:53 - 1.6 Determining Limits Using Algebraic Manipulation
26:46 - 1.7 Selecting Procedures for Determining Limits
31:19 - 1.8 Determining Limits Using the Squeeze Theorem
35:56 - 1.9 Connecting Multiple Representations of Limits
38:08 - 1.10 Exploring Types of Discontinuities
41:15 - 1.11 Defining Continuity at a Point
45:47 - 1.12 Confirming Continuity over an Interval
48:08 - 1.13 Removing Discontinuities
52:34 - 1.14 Connecting Infinite Limits and Vertical Asymptotes
56:39 - 1.15 Connecting Limits at Infinity and Horizontal Asymptotes
1:03:12 - 1.16 Working with the Intermediate Value Theorem (IVT)
1:07:14 - Summary

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Hi, I’m Krista! I make math courses to keep you from banging your head against the wall. ;)

Math class was always so frustrating for me. I’d go to a class, spend hours on homework, and three days later have an “Ah-ha!” moment about how the problems worked that could have slashed my homework time in half. I’d think, “WHY didn’t my teacher just tell me this in the first place?!”

[mangof]

The first time I watched your videos I was a freshman in highschool. I’m completing my doctorates in pharmacy now. It’s good to see you back professor!!!

[kristakingmath]

Hey guys! This is a project I've been working on to help everybody who's taking AP Calculus AB or BC this year. Timestamps are in the description. I'll be releasing more of these AP unit videos over the next week or so. 🤓 I really hope you're all staying safe and healthy! ❤️❤️

[rhpmike]

Haven't taken a math class in 15 years, but if I would have had this in high school I could have skipped the whole class and spent 10 hours with you. Such clear explanations that are easy to follow.

[daughteroftheking]

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[levelthefield]

This is seriously the best video ever. I am an upcoming junior taking Calc BC, and despite everyone telling me not to take it (oh, it's going to be incredibly hard; don't take it if you want your GPA to go down), your videos give me inspiration and an actual passion to learn more about Calculus! Thank you so, so much!

[AvaBurgunder]

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[Chubbymank]

Hey, I'm just a sophomore in high school taking this class, Your videos have helped me so much with Calculus. Thank you so much

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Oh my goodness! An upload!!! It’s great to see you and I don’t even have math classes anymore!

[sunnymoon]

Omg, my exam is in roughly a week, and I think I'm gonna be okay now. I love how you covered everything, and idk if it was curriculum, but a fairamount of this was pre calc review. Thanks so much for doing what you don't have to do!

[gentlemandude]

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[sethwicks]

I took Calculus BC and got a 5 my sophomore year of high school and now im graduating soon and I've forgotten alot. Needed this series to refresh everything I already learned before I head off to college! Thank you 🙂

[TheNickinator]

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Wow; I have my first test of the year tomorrow for Calc BC on all then limits and derivative things we learned last spring and thus far. I just wanted to say that what you've put together is amazing and is helping a heck of a lot with my studying. Thank you so much!!!

[Tvfmsm]

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[pnk...]

So happy I discovered your channel even if you aren’t active anymore just wanna say I love your writing and voice! YOURE THE GOAT FRR💖😭

[alondrahanthorn]

First unit test tmrw, thanks for this!

[loveitgirl]

Note to self:
1.6 is a good reference to review
1.7 as well
51:06 to review piece wise functions
Review 1.14, 15, and 16

[fornax]

A teacher dedicated to their students. Sweet and to the point, no interruptions, but everything essential.
This year I'm preparing to understand units ahead of time before i take the ap course in the year, and this helps me a lot

[jenacook]

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[goodcake]

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