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Precalculus
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Table of contents
1. Fundamental Concepts of Algebra
Worksheet
Algebraic Expressions, Mathematical Models, and Real Numbers
Exponents and Scientific Notation
Radicals and Rational Exponents
Polynomials
Factoring Polynomials
Rational Expressions
Equations
Models and Applications
Linear Inequalities and Absolute Value Inequalities
2. Functions and Graphs
Worksheet
Graphs and Graphing Utilities
Basics of Functions and Their Graphs
More on Functions and Their Graphs
Linear Functions and Slope
More on Slope
Transformations of Functions
Combinations of Functions, Composite Functions
Inverse Functions
Distance and Midpoint Formulas, Circles
Modeling with Functions
3. Polynomial and Rational Functions
Worksheet
Complex Numbers
Quadratic Functions
Polynomial Functions and Their Graphs
Dividing Polynomials, Remainder and Factor Theorems
Zeros of Polynomial Functions
Rational Functions and Their Graphs
Polynomial and Rational Inequalities
Modeling Using Variation
4. Exponential and Logarithmic Functions
Worksheet
Exponential Functions
Logarithmic Functions
Properties of Logarithms
Exponential and Logarithmic Equations
Exponential Growth and Decay, Modeling Data
5. Trigonometric Functions
Worksheet
Angles and Radian Measure
Trigonometric Functions: The Unit Circle
Right Triangle Trigonometry
Trigonometric Functions of Any Angle
Graphs of Sine and Cosine Functions
Graphs of Other Trigonometric Functions
Inverse Trigonometric Functions
Applications of Trigonometric Functions
6. Analytic Trigonometry
Worksheet
Verifying Trigonometric Identities
Sum and Difference Formulas
Double-Angle, Power-Reducing, and Half-Angle Formulas
Product-to-Sum and Sum-to-Product Formulas
Trigonometric Equations
7. Additional Topics in Trigonometry
Worksheet
The Law of Sines
The Law of Cosines
Polar Coordinates
Graphs of Polar Equations
Complex Numbers in Polar Form, DeMoivre's Theorem
Vectors
The Dot Product
8. Systems of Equations and Inequalities
Worksheet
Systems of Linear Equations in Two Variables
Systems of Linear Equations in Three Variables
Partial Fractions
Systems of Nonlinear Equations in Two Variables
Systems of Inequalities
Linear Programming
9. Matrices and Determinants
Worksheet
Matrix Solutions to Linear Systems
Inconsistent and Dependent Systems and Their Applications
Matrix Operations and Their Applications
Multiplicative Inverses of Matrices and Matrix Equations
Determinants and Cramer's Rule
10. Conic Sections and Analytic Geometry
Worksheet
The Ellipse
The Hyperbola
The Parabola
Rotation of Axes
Parametric Equations
Conic Sections in Polar Coordinates
11. Sequences, Induction, and Probability
Worksheet
Sequences and Summation Notation
Arithmetic Sequences
Geometric Sequences and Series
Mathematical Induction
The Binomial Theorem
Counting Principles, Permutations, and Combinations
Probability
12. Introduction to Calculus
Worksheet
Finding Limits Using Tables and Graphs
Finding Limits Using Properties of Limits
Limits and Continuity
Introduction to Derivatives
7. Additional Topics in Trigonometry
Vectors
7. Additional Topics in Trigonometry
Vectors
Previous Topic
Next Topic
Use Magnitude and Direction to Show Vectors Are Equal
+2
Additional 2 creators.
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04:57
How to find the magnitude and direction of a given vector
Brian McLogan
175
01:48
Vectors Finding the Direction
Mario's Math Tutoring
80
02:03
When Are Two Vectors Considered to Be the Same?
patrickJMT
77
20:37
Vectors - Corbettmaths
corbettmaths
270
04:10
Geometric Vectors
Lindsay Vanoli
67
03:58
Magnitude and Direction of a Vector, Example 1
patrickJMT
100
Showing 6 of 6 videos
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Visualize Scalar Multiplication, Vector Addition, and Vector Subtraction as Geometric Vectors
+4
Additional 4 creators.
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03:24
Vector Addition and Scalar Multiplication, Example 1
patrickJMT
127
07:09
Basic Operations Geometric Vectors (Many Examples)
ProfRobBob
83
03:22
Sketching Sums and Differences of Vectors
patrickJMT
88
01:26
Vector Operations Geometrically
Shawna Haider
127
04:48
Introduction to Vectors and Their Operations
Professor Dave Explains
86
03:33
Vectors - Finding Magnitude or Length
patrickJMT
73
11:32
Vector Basics - Drawing Vectors/ Vector Addition
patrickJMT
82
04:10
Geometric Vectors
Lindsay Vanoli
67
02:24
Adding and Subtracting Vectors Made Simple
jStrausMath
148
03:06
Sketching Sums and Differences of Vectors - Part 2
patrickJMT
93
02:42
Vector Operations (Geometric Interpretation)
Gordon Clement
96
Showing 11 of 11 videos
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Represent Vectors in the Rectangular Coordinate System
+3
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04:46
An Introduction to Vectors, Part 1
patrickJMT
83
02:38
Finding the Components of a Vector, Ex 1
patrickJMT
81
03:52
Vector Addition and Scalar Multiplication, Example 2
patrickJMT
73
02:26
Position Vector and Magnitude / Length
patrickJMT
77
02:50
Position Vectors
IMA Videos
124
05:04
How to find the component form of a vector
Brian McLogan
68
08:35
Drawing Vectors in the xy-Plane and Position Vectors
Julia Ledet
79
02:29
Vectors Component Form
Mario's Math Tutoring
168
04:48
Introduction to Vectors and Their Operations
Professor Dave Explains
86
Showing 9 of 9 videos
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Perform Operations with Vectors in Terms of <b>i</b> and <b>j</b>
+4
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04:48
Introduction to Vectors and Their Operations
Professor Dave Explains
86
03:54
Finding the resultant vector of the sum of two vectors
Brian McLogan
105
04:50
Unit Tangent Vector at a Given Point
patrickJMT
81
02:34
Adding and Subtracting Vectors
Mario's Math Tutoring
71
03:07
Operations on Vectors
Math and Stats Help
109
01:22
Operations on Vectors in Component Form
Professor Kellum
78
01:50
Vector Operations
Numberbender
73
Showing 7 of 7 videos
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Find the Unit Vector in the Direction of <b>v</b>
+3
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05:08
How To Find The Unit Vector
The Organic Chemistry Tutor
117
05:02
Unit vectors - Vectors
Khan Academy
88
04:55
Finding a Unit Vector, Ex 2
patrickJMT
86
01:50
Vector Operations
Numberbender
73
02:14
Find Unit Vector in Given Direction
Anil Kumar
171
02:07
Finding a Unit Vector, Ex 1
patrickJMT
77
02:06
Unit Vectors - How to find
Mario's Math Tutoring
84
Showing 7 of 7 videos
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Write a Vector in Terms of Its Magnitude and Direction
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03:38
Writing a vector in component form given a magnitude and direction
Brian McLogan
120
05:36
Vector components from magnitude and direction
Khan Academy
90
03:04
Writing Vector in terms of Magnitude & Direction Example
ProfRobBob
111
04:46
An Introduction to Vectors, Part 1
patrickJMT
83
08:21
Adding vectors in magnitude and direction form | Vectors
Khan Academy
134
06:05
Magnitude and Direction of a Vector, Example 3
patrickJMT
61
04:05
How to find the direction angle of a vector?
Nicholas Patey
148
05:00
Direction Angle of a Vector
Allan J Wager
136
Showing 8 of 8 videos
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Solve Applied Problems Involving Vectors
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11:29
Word Problems Involving Velocity or Other Forces (Vectors), Ex 2
patrickJMT
76
25:31
Vector Word Problems Made Easy
Math With Ms. Ruddy
265
03:10
Word Problems Involving Velocity or Other Forces (Vectors), Ex 1
patrickJMT
77
09:58
How to use vectors to solve a word problem
Brian McLogan
169
