About This Chapter
How It Works:
- Find the lesson within this chapter that corresponds to what you're studying in the Parametric, Polar & Vector Functions chapter of your textbook.
- Watch fun videos that cover the calculus concepts you need to learn or review.
- Complete the quiz after watching each video lesson to test your understanding.
- If you need additional help, rewatch the videos until you've mastered the material, or submit a question for one of our instructors.
You'll learn all of the calculus topics covered in the textbook chapter, including:
- Procedures for evaluating parametric equations
- How to convert between parametric and rectangular forms
- Describing projectile motion with parametric equations
- Understanding and converting polar and rectangular coordinates
- How to graph a rose curve, limaçon and limniscate
- Defining vectors and performing operations on vectors
- Explanation of scalar multiplication of vectors
- Finding and graphing unit, normal and vector functions
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1. Evaluating Parametric Equations: Process & Examples
After watching this video lesson, you will be able to evaluate a parametric equation for any given parameter. Learn the steps involved and what the complete answer looks like.
2. Converting Between Parametric & Rectangular Forms
There are all kinds of ways of writing equations. Learn about parametric equations in this video lesson. Learn how you can convert between parametric equations and their equivalent rectangular equations.
3. Using Parametric Equations to Describe Projectile Motion
Projectile motion equations are often written with position coordinates expressed as functions of a parameter. In this lesson, after showing how to derive these equations, we present an application.
4. Polar Coordinates: Definition, Equation & Examples
Discover a new way of graphing with polar coordinates. In this lesson, you will learn the definition of polar coordinates, how they can be calculated, and in what types of problems they will be useful. Practice what you have learned with example problems and a quiz after the lesson.
5. How to Convert Between Polar & Rectangular Coordinates
Symmetry in a math problem may suggest a change of coordinate systems. In this lesson we show how to convert between two common coordinate systems: polar and rectangular.
6. Graphing Rose Curves, Limaçons & Lemniscates
Plotting polar equations is not difficult but does require some special considerations. This lesson explores how to plot three of the more spectacular polar equations: rose curves, limacons and lemniscates.
7. What is a Vector in Math? - Definition & Examples
This lesson explores vectors, operations with vectors, and modern uses of vectors. Using relevant examples and diagrams, the lesson will demonstrate the applications of vectors in the world.
8. Performing Operations on Vectors in the Plane
After watching this video lesson, you should be able to add, subtract, and multiply your vectors. Learn how easy it is to perform these operations and what you need to keep in mind when performing these operations.
9. Scalar Multiplication of Vectors: Definition & Calculations
After watching this video, you will be able to explain what scalar multiplication is and complete basic calculations involving the scalar multiplication of vectors. A short quiz will follow.
10. How to Find Unit & Normal Vectors
Unit vectors point in the direction of a vector and a normal vector is perpendicular to a vector. In this lesson, we will investigate how to determine unit and normal vectors.
11. How to Graph Vector Functions
Vector functions are often used to describe the position of an object in space. Graphing a vector function is one way to create a visual representation of the motion of the object. In this lesson, you'll learn the steps you need to take to graph vector functions.
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Other chapters within the Saxon Calculus Homeschool: Online Textbook Help course
- Saxon Calculus: Real Numbers
- Saxon Calculus: Algebra
- Saxon Calculus: Algebra Theorems
- Saxon Calculus: Geometry
- Saxon Calculus: Logic
- Saxon Calculus: Trigonometry
- Saxon Calculus: Graphing Calculator
- Saxon Calculus: Basics of Functions
- Saxon Calculus: Graphing Functions & Equations
- Saxon Calculus: Analysis of Graphs
- Saxon Calculus: Limits of Functions
- Saxon Calculus: Asymptotic & Unbounded Behavior
- Saxon Calculus: Continuity as a Property of Functions
- Saxon Calculus: Concept of the Derivative
- Saxon Calculus: Derivative at a Point
- Saxon Calculus: Derivative as a Function
- Saxon Calculus: Second Derivatives
- Saxon Calculus: Applications of the Derivative
- Saxon Calculus: Computation of Derivatives
- Saxon Calculus: Riemann Sums
- Saxon Calculus: Interpretations & Properties of Definite Integrals
- Saxon Calculus: Applications of Integrals
- Saxon Calculus: Fundamental Theorem of Calculus
- Saxon Calculus: Techniques of Antidifferentiation
- Saxon Calculus: Applications of Antidifferentiation
- Saxon Calculus: Numerical Approximation of Definite Integrals
- Saxon Calculus: Concept of Series
- Saxon Calculus: Series of Constants
- Saxon Calculus: Taylor Series