Calculus

# Parametric equations, polar coordinates, and vector-valued functions

- Defining and differentiating parametric equations
- Second derivatives of parametric equations
- Finding arc lengths of curves given by parametric equations
- Defining and differentiating vector-valued functions
- Solving motion problems using parametric and vector-valued functions
- Defining polar coordinates and differentiating in polar form
- Finding the area of a polar region or the area bounded by a single polar curve
- Finding the area of the region bounded by two polar curves
- Calculator-active practice

Register for a session to review this topic with a small group of learners.

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Calculus · session

#### Calculus - Polar Coordinates, VVF, and More

I'm going to be teaching about parametric equations. Maybe, also, spherical cows.

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Evan S

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Calculus · series session

#### Parametric equations, polar coordinates, and vector-valued functions

We will explore parametric functions, vector-valued functions, and polar curves using our applied knowledge of differentiation and integration.

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Eric Q

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Pf

Calculus · series session

#### Parametric equations, polar coordinates, and vector-valued functions

In this session we'll learn about Parametric and Polar Equations and We'll also go over some vectors as well. Friendly Reminder - This session welcomes learners who already have completed Pre-Calculus and are now heading to Calculus and want to get a leg up on their classmates to have a brief overview and knowledge to what you will learn in AP Calc AB / BC

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Maharsh J

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Pf

Calculus · series session

#### Parametric equations, polar coordinates, and vector-valued functions

In this session we'll learn about Parametric and Polar Equations and We'll also go over some vectors as well. Friendly Reminder - This session welcomes learners who already have completed Pre-Calculus and are now heading to Calculus and want to get a leg up on their classmates to have a brief overview and knowledge to what you will learn in AP Calc AB / BC.

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Maharsh J

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Pf

Calculus · session

#### Parametric equations and Polar Coordinates with Vectors

We will go over key concepts and great problems overviewing all the fundamental parts of the lessons!

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Rishi M

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Pf

Calculus · session

#### Parametric equations and polar coordinates

We'll go over the whole topic as well as look at practice problem as well as key rules to remember when solving the problems.

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Rishi M

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Pf

Calculus · session

#### Parametric equations, polar coordinates, and vector-valued functions

We'll go over practice problems involving concepts covered in this session.

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Akshaya C

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Pf

Calculus · series session

#### Parametric equations, polar coordinates, and vector-valued functions

(The first fifteen minutes will be to briefly catch up on the previous session and answer your questions)
I will discuss how to intuitively understand the topic, critically think about problems on the topic, and apply that in other subjects (Physics, Chemistry, Biology, Economics, etc.).

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Abrar Zahin R

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Pf

Calculus · series session

#### Parametric equations, polar coordinates, and vector-valued functions

Welcome to the twelfth session of the AP Calculus AB and BC bootcamp (this session is a makeup of a previous session to provide learners a more convenient time for joining)! In this session, I will cover the following topics in "Parametric Equations, Polar Coordinates, and Vector-Valued Functions": parametric equations, derivatives of parametrically defined functions, arc lengths with parametric equations, polar coordinates, derivatives of polar curves, area in a polar curve, vector-valued functions, and derivatives of vector-valued functions.

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Pranjal C

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Calculus · series session

#### Parametric equations, polar coordinates, and vector-valued functions

Welcome to the tenth session of the AP Calculus AB and BC bootcamp! In this session, I will cover the following topics in "Parametric Equations, Polar Coordinates, and Vector-Valued Functions": parametric equations, derivatives of parametrically defined functions, arc lengths with parametric equations, polar coordinates, derivatives of polar curves, area in a polar curve, vector-valued functions, and derivatives of vector-valued functions.

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Pranjal C

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Pf

Calculus · series session

#### Parametric equations, polar coordinates, and vector-valued functions

Polar coordinates #2.

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Daniel Q

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Calculus · series session

#### Parametric equations, polar coordinates, and vector-valued functions

Polar coordinates.

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Daniel Q

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Calculus · series session

#### Parametric equations, polar coordinates, and vector-valued functions

This will be the final lesson and will go over derivatives in polar, vector, and parametric. We will answer questions and go over problems

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Andrew G

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Pf

Calculus · session

#### Parametric equations, polar coordinates, and vector-valued functions

If you are new to this topic, we will first go over the material. Then, we'll go through some problems on Khan Academy. If you are comfortable doing the problems on your own, I'll let you work through them and help you if you get stuck. Otherwise, I might explain part of the problem to you and guide you through solving the rest of the problem.
Feel free to bring your own problems or to ask me any questions you have about this topic!
Before signing up for this session, you should ideally have some knowledge of limits and derivatives.

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Nikhil D

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Pf

Calculus · session

#### Parametric equations, polar coordinates, and vector-valued functions

In this session, we will be covering vector-valued functions and polar coordinates! Prerequisite knowledge of how to take a derivative and integral is required.

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Arnav M

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Calculus · session

#### Parametric equations, polar coordinates, and vector-valued functions

In this session, we'll be doing practice problems about parametrics, polar coordinates, and vectors as they appear in AP Calculus BC, including multiple-choice and free-response questions. Additionally, please come with any questions you may have about the unit! Prerequisite knowledge of how to take a derivative and integral is needed.

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Arnav M

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Calculus · session

#### Parametric equations, polar coordinates, and vector-valued functions

In this session, we'll go over parametrics, polars, and vectors as they appear in AP Calculus BC. We'll go over the concepts as well as some practice problems for each concept.

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Arnav M

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Pf

Calculus · session

#### Parametric equations, polar coordinates, and vector-valued functions

We will be covering the first and second derivatives of parametric functions. I will first go over the concepts, and then I will offer numerous practice problems for you to try.

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Sagnik B

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Pf

Calculus · session

#### Parametric equations, polar coordinates, and vector-valued functions

We'll just go over some parametric derivatives or polar calculus, whichever people prefer

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Yakov H

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Calculus · session

#### Parametric equations, polar coordinates, and vector-valued functions

Going over some Unit 9 and Unit 10 topics for a learner.

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AJ D

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Calculus · session

#### Parametric equations, polar coordinates, and vector-valued functions

We are talking about differentiating parametrics, finding arc length of parametrics, and vector-valued functions and practicing FRQs for these topics!

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AJ D

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Pf

Calculus · session

#### Parametric equations, polar coordinates, and vector-valued functions

If you are new to this topic, we will first go over the material. Then, we'll go through some problems on Khan Academy. If you are comfortable doing the problems on your own, I'll let you work through them and help you if you get stuck. Otherwise, I might explain part of the problem to you and guide you through solving the rest of the problem.
Feel free to bring your own problems or to ask me any questions you have about this topic!
Before signing up for this session, you should ideally have some knowledge of limits and derivatives.

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Nikhil D

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Session ended.

Pf

Calculus · session

#### Parametric equations, polar coordinates, and vector-valued functions

We’ll discuss parametric equations, and how to apply techniques of calculus to them. If time permits, we may also go over advanced applications of integration in Cartesian coordinates and/or applications of calculus to polar coordinates.

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Luna A

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Pf

Calculus · session

#### Parametric equations, polar coordinates, and vector-valued functions

I'm going to briefly explain what parametric and polar equations are, and go in detail on how they are integrated into calculus

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Yakov H

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