#### Calculus

#### Calculus

### Calculus Series

## AoPS Calculus

Started

This is a full course covering the AoPS curriculum for Calculus, that prepares thoroughly for the AP Calculus Exam (Calculus 1 and 2) as well as serves as an introduction to Real Analysis (a full-course on proof-based Calculus). Sessions are 1h30m three times a week. Prerequisites: -Algebra 2 with trig (with previous proof-writing or AoPS course experience preferred but not required) This course will cover significantly more content than the standard AP Calculus class, placing greater emphasis on mathematical rigour through proofs and very challenging problems than on rote repetition and memorization. You will still benefit if you already have experience with Calculus because of its radically different emphasis from most Calculus courses. Syllabus: Unit 0 - Sets and Functions (Review) Unit I - Limits and Continuity Unit II - The Derivative Unit III - Applications of the Derivative Unit IV - Integration Unit V - Infinity Unit VI - Series Unit VII - Plane Curves Unit VIII - Differential Equations We will use the AoPS Calculus textbook, which I will provide for those unable to get it themselves. We will also supplement from various other sources. Note: Required reading of 10 pages of reading before each session + homework due for each unit (with feedback).

Jose Roberto Cossich G

## Get Ready For Fall: AP Calc AB/BC First 5 Units!

2nd session

In this course, we will go over 2 units a week. This course aims to help you get a head start for the upcoming year and have a solid understanding of many calculus concepts (limits, derivatives, and more)! (The timing for sessions isn't set in stone yet, and I'm also happy to move some things around in order to meet everyone's schedule. More sessions will also be added, we will be going over the first five units!)

Vikram S

## Crash Course Calculus - Limits, Derivatives, Integration, and More!

Starts

We'll go through the basics of calculus and cover some important concepts. This would be a great introduction for anybody looking to take calculus in the next year and a great review for people who have taken it and are looking to review. This curriculum is definitely not set in stone, I am extremely flexible and would love to teach what you guys would like to learn in calculus!

Bill C

## Learn AP Calculus BC in 60 days!

Starts

Covers all the contents from AP Calculus BC in the period of two months; please view the descriptions of each session to see what is covered. Online sessions are going to be fast paced, so it is important that you take notes. Expect to participate regularly, and give ideas when asked about a math problem you might not know how to answer. Because the AP Calculus Exams don’t require a full understanding of proofs of basic derivatives and integrals, I unfortunately won’t be covering them(though it may be a good idea to).

William B

## AP® Calculus AB Full Course (2024-25)

2nd session

This series will be treated as close to a formal class as possible; the only difference being that it follows a mastery learning method (meaning that it allows ALL students to be caught up with everyone else at once) as opposed to traditional learning (where everyone must follow the same pace as everyone else). This means that several quizzes and tests will be assigned throughout the series to secure a 5 as best as possible on the exam. And in order to execute this idea of a formal yet mastery learning class, I will only allow us to advance to next concepts if everyone scores a 90% or higher on these assessments to make the series as easy sailing as possible. Studying for an AP exam requires a lot discipline, and so you are expected to be prepared to attend the 5 sessions a week (45 minutes each session), although it's fully expected that you'll miss a few sessions here and there. Because of this mastery learning method, you will be withdrawn if you have too many difficulties scoring over a 90% on an assessment (here, "assessment" collectively refers to quizzes, tests, midterms, and finals). If this does happen, i might make another series dedicated to those who've been withdrawn from the series so that you can catchup on your own pace without the guilt of slowing everyone else down. I can always schedule a Catchup/Office hours session by request if you were absent for a session/need extra help with a topic.

Jeremy L