> [!example] Relevant Materials > - [OpenStax Calculus Volume I](https://openstax.org/details/books/calculus-volume-1) > - [OpenStax Calculus Volume II](https://openstax.org/details/books/calculus-volume-2) > - [SFU - Calculus Early Transcendentals](https://www.sfu.ca/math-coursenotes/Math%20158%20Course%20Notes/intro.html) > - [Calculus Playlist - The Organic Chemistry Tutor](https://www.youtube.com/playlist?list=PL0o_zxa4K1BWYThyV4T2Allw6zY0jEumv) > - [Essence of Calculus - 3Blue1Brown](https://www.youtube.com/playlist?list=PLZHQObOWTQDMsr9K-rj53DwVRMYO3t5Yr) # Calculus **Calculus** is the study of continuous change. There are two main branches of calculus: 1. Differential Calculus: aaa 2. Integral Calculus: aaa --- > [!info] Differential Calculus (Rate of Change) > A sub-field of calculus that studies the rates at which quantities change. There are two main concepts that must be learned before [[Differentiation]]. First, you need Limits are a foundational concept used in all aspects of calculus 1. The purpose of [[limits]] are to describe the behavior of a function as it approaches a point. 2. The concept of secant and tangent lines (and rates of change in general) --- > [!info] Integral Calculus (Accumulation) > a [[Integration]] --- > [!info] Multivariable Calculus > a --- ![[Calculus Loops.png|500]] ### Displacement **Displacement** is the difference between an object’s initial and final positions. The behavior of a function as it approaches a point of discontinuity (or any point in general) can be described using [[limits]]. --- **Reference in overview:** - [ ] [[Limits]] - [ ] [[Continuity]] - [ ] [[Asymptotes]] - [ ] [[The Precise Definition of a Limit]] - [ ] [[The Squeeze Theorem]] - [ ] [[The Mean Value Theorem]] - [ ] [[The Intermediate Value Theorem]] --- - [ ] [[Differentiation]] - [ ] [[Differentials]] - [ ] [[Implicit Differentiation]] --- - [ ] [[Related Rates]] - [ ] [[Linear Approximation (Calculus)]] - [ ] [[Derivatives and the Shape of a Graph]] - [ ] [[The Mean Value Theorem]] - [ ] [[Minima and Maxima]] - [ ] [[Optimization]] - [ ] [[L'Hopital's Rule]]