Paul Dawkins
Paul's Online Notes: Complex Numbers Primer
This tutorial reviews complex numbers, notation associated with complex numbers, and the basic operations involving complex numbers. Topics examined are conjugates and moduli, polar form, exponential form, arithmetic of complex numbers,...
Paul Dawkins
Paul's Online Notes: Velocity and Acceleration
Interactive notes with links to previous concepts, examples, and solutions.
Paul Dawkins
Paul's Online Notes: Derivatives of Inverse Trig Functions
Online notes with examples and solutions.
Paul Dawkins
Paul's Online Notes: Higher Order Derivatives
Online notes with examples and solutions.
Paul Dawkins
Paul's Online Notes: Algebra: Preliminaries: Complex Numbers
This math tutorial features notes and examples that illustrate complex numbers including standard form, adding, subtracting, multiplying and dividing them.
Paul Dawkins
Paul's Online Notes: Algebra: Linear Equations
This math tutorial features notes and examples that illustrate the process for solving linear equations including equations with radical expressions.
Paul Dawkins
Paul's Online Notes: Algebra: Linear Inequalities
Detailed math tutorial features notes and examples that illustrate how to solve linear inequalities (both single and double) and also interval notation.
Paul Dawkins
Paul's Online Notes: Algebra: Rational Inequalities
This math tutorial features notes and examples that illustrate how to solve inequalities that involve rational expressions.
Paul Dawkins
Paul's Online Notes: Algebra: Lines
Detailed math tutorial features notes and examples that discuss graphing lines and introduces the concept of slope, the standard form of the line, the point-slope form, slope-intercept form, and parallel and perpendicular lines.
Paul Dawkins
Paul's Online Notes: Algebra: Absolute Value Inequalities
Detailed math tutorial features notes and examples that illustrate how to solve inequalities that involve absolute value. The process for solving inequalities with a (i.e. greater than).
Paul Dawkins
Paul's Online Notes: Algebra: Quadratic Equations Part Ii
Detailed math tutorial features notes and examples that illustrate how to solve quadratic equations using complete the square then use that to derive the quadratic formula.
Paul Dawkins
Paul's Online Notes: Algebra: Applications of Quadratic Equations
Detailed math tutorial features notes and examples that review applications involving solving a quadratic equation including distance/rate problems and work rate problems.
Paul Dawkins
Paul's Online Notes: Algebra: Circles
Detailed math tutorial features notes and examples that illustrate graphing circles.
Paul Dawkins
Paul's Online Notes: Algebra: Parabolas
Detailed math tutorial features notes and examples that investigate the process for graphing parabolas.
Paul Dawkins
Paul's Online Notes: Algebra: Ellipses
Detailed math tutorial features notes and examples that illustrate graphing ellipses using the standard form.
Paul Dawkins
Paul's Online Notes: Algebra: Combining Functions
Detailed math tutorial features notes and examples that take a look at combining functions using addition, subtraction, multiplication, and division. It also discusses function composition. Includes practice and assignment problems.
Paul Dawkins
Paul's Online Notes: Algebra: Dividing Polynomials
Detailed math tutorial features notes and examples that take a look at the basics dividing polynomials, introduces synthetic division, and gives the Division Algorithm.
Paul Dawkins
Paul's Online Notes: Algebra: Graphing Polynomials
Detailed math tutorial features notes and examples that take a look at the process of graphing polynomials.
Paul Dawkins
Paul's Online Notes: Algebra: Exponential Functions
Detailed math tutorial features notes and examples that introduces exponential functions and their properties.
Paul Dawkins
Paul's Online Notes: Algebra: Inverse Functions
Detailed math tutorial features notes and examples that take a look at the process of finding inverse functions. It also defines one-to-one functions.
Paul Dawkins
Paul's Online Notes: Algebra: Hyperbolas
Detailed math tutorial features notes and examples that take a look at the process of graphing hyperbolas.
Paul Dawkins
Paul's Online Notes: Algebra: Preliminaries: Polynomials
Detailed math tutorial features notes and examples that define the degree of a polynomial and illustrates how to ass, subtract, and multiply polynomials. .
Paul Dawkins
Paul's Online Notes: Algebra: Preliminaries: Radicals
Detailed math tutorial features notes and examples that define radical notation and simplified radical form while relating radicals to rational exponents and showing how to rationalize the denominator, It also gives the properties of...