Fundamental Theorem of Calculus - first or second

Fundamental Theorem of Calculus: which is first and which is second?

June 30, 2024

Introduction The Fundamental Theorem of Calculus (FTC) is extremely important for relating the study of derivatives and integrals. One part states that given a function \( f(x) \) and \( \displaystyle F(x) = \int_a^x f(t)\,dt \) it is true that \( \displaystyle F’(x) = f(x) \). \( F(x) \) can be viewed as an area […]

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Extra Topics for AP Calculus BC Exam

Extra Topics for Calculus BC Exam

June 29, 2024

When comparing the AP Calculus AB and AP Calculus BC exams, you might wonder what additional topics you need to learn for the BC exam. First, note that the Calculus BC course includes all the topics covered in Calculus AB, plus some extra material. Generally, you can go straight to Calculus BC after completing a […]

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Is Calculus Hard?

June 29, 2024

Understanding the Challenges of Calculus and How to Overcome Them “Is calculus hard?” This is the question you might ask yourself when deciding to register for a calculus class. Calculus, often considered a pinnacle of high school math and a foundational course in college math, can indeed be daunting. However, understanding the reasons behind its […]

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Person holding a card with 'REPETITION' written three times.

Spaced Repetition

April 15, 2024

Overview Spaced Repetition is a learning technique that shows flashcards that are difficult for you more frequently than easier ones. For instance, the I Aced Calculus (IAC) app asks users to rank how well they understood a flashcard on a scale from 1 to 5. Then, it employs an algorithm to decide what questions to […]

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Silhouette of a head filled with colorful gears representing active recall in learning and memory enhancement.

Studying Using Active Recall

April 9, 2024

What is Active Recall? Active recall is a study technique that goes beyond passive reading and memorization. Instead of merely reviewing notes or textbooks, or passive recall, simply remembering past material, active recall involves proactively retrieving information from memory while studying, which leads to more engaging and productive review sessions. This is often seen in […]

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The Applications of Calculus in Architecture

March 5, 2024

The field of architecture is one in which the freedom of design and the rigor of engineering appear equally. While everyone can see the beautiful exterior of a new building, few truly understand the complicated analysis involved in making that building stand. Ubiquitous in the more technical aspects of structural design, calculus is used in […]

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Two smartphones displaying the 'I Aced Calculus' app interface, one showing a sample calculus problem and the other the app's home screen, alongside logos for App Store and Google Play, and a stack of index cards.

Using Calculus Flashcards as a Study Tool

February 18, 2024

Calculus Flashcards Flashcards are a powerful study tool because they’re easy and fun to use, focus on making you engage with information actively, and let you tailor material to your needs. Flashcards break big topics into small parts that you can easily memorize with practice. Fitting seamlessly into different study plans, flashcards can help you […]

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How to Study Effectively for a Calculus Test

February 18, 2024

Studying for a calculus quiz or exam does not need to be difficult. There are many proven strategies that can help you study more efficiently! In this blog post, we will discuss some of these strategies and their applications to your own study routine. Study Spot One of the first things you need to do […]

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AP Calculus AB vs Calculus BC

Comparing AP Calculus AB and BC: A Quick Guide

January 25, 2024

Exploring the differences between Calculus AB vs BC, this guide offers an in-depth comparison of the two popular AP Calculus courses. Both AP Calculus AB and BC are top choices for high school students seeking a challenging mathematical curriculum. In 2022 alone, a combined total of 420,000 students enrolled in these courses, reflecting their popularity. […]

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