Paul Dawkins
Paul's Online Notes: Calculus Iii: Line Integrals
The resource examines line integrals and interpretations of the line integral. Topics investigated are the fundamental theorem for line integrals, Green?s theorem, and conservative vector fields. Class notes, definitions, and examples...
Paul Dawkins
Paul's Online Notes: Calculus Iii: Surface Integrals
The resource examines surface integrals. Topics investigated are parametric surfaces, surface integrals, Stokes? theorem, and the divergence theorem. Class notes, definitions, and examples with detailed solutions are included. The notes...
Paul Dawkins
Paul's Online Notes: Differential Equations
The tutorial explores differential equations. Topics examined are first order differential equations, second order differential equations, Laplace transforms, Fourier series, higher order differential equations, and systems of...
Paul Dawkins
Paul's Online Notes: Differential Equations: First Order Differential Equations
The tutorial explores first order differential equations. Topics examined are linear equations, separable equations, Bernoulli differential equations, equilibrium solutions, Euler?s method, and intervals of validity. Class notes,...
Paul Dawkins
Paul's Online Notes: Differential Equations Second Order Differential Equation
The tutorial explores second order differential equations. Topics examined are mechanical vibrations, the reduction of order, fundamental sets of solutions, nonhomogeneous differential equations, and undetermined coefficients. Class...
Paul Dawkins
Paul's Online Notes: Algebra & Trig Review
The tutorial reviews algebra and trigonometric topics needed in Calculus. Topics examined are solving equations, rational expressions, absolute value, solving trigonometric functions, exponentials, and logarithms. Class notes,...
Paul Dawkins
Paul's Online Notes: Rational Exponents
A tutorial including exercises on rational exponents. The materials can also be downloaded in PDF format.
Paul Dawkins
Paul's Online Notes: Math Notes: Excluded Values in Rational Functions
A description and example of which values are excluded from the domain of a rational function.
Paul Dawkins
Paul's Online Notes: Augmented Matrices
Here are good examples of the Gauss-Jordan elimination method to solve systems of equations.
Paul Dawkins
Paul's Online Notes: Lamar University: Paul's Online Math Notes: Algebra: Integer Exponents
The mathematics tutorial consists of notes and examples that investigate positive and negative integer exponents.
Paul Dawkins
Paul's Online Notes: Algebra: Graphing and Functions
Students investigate functions and graphing. Topics examined are lines, circles, graphing functions, inverse functions, and combining functions. Class notes, definitions, and examples with detailed solutions are included. The class notes...
Paul Dawkins
Paul's Online Notes: Absolute Value Equations
This tutorial looks at how to solve absolute value equations. Gives the geometrical and mathematical definitions of absolute value and how to apply them when solving equations. Presents several example problems.
Paul Dawkins
Paul's Online Notes: Optimization
Optimizations problems with examples, solutions, and links to further explain methods to solve.
Paul Dawkins
Paul's Online Notes: Limits at Infinity Part 1
Online notes with examples and solutions.
Paul Dawkins
Paul's Online Notes: Logarithmic Differentiation
Online notes with examples and solutions.
Paul Dawkins
Paul's Online Notes: Rational Expressions: Practice Problems
Practice exercise reviews how to reduce a rational expression to lowest terms and how to add, subtract, multiply and divide rational expressions.
Paul Dawkins
Paul's Online Notes: Complex Numbers: Practice Problems
Practice exercise reviews complex numbers including standard form, adding, subtracting, multiplying and dividing them.
Paul Dawkins
Paul's Online Notes: Integer Exponents: Practice Problems
Practice exercise reviews integer exponents including how to simplify or evaluate given expressions and write the answer with either positive or no exponents.
Paul Dawkins
Paul's Online Notes: Rational Exponents: Practice Problems
Practice exercise reviews rational exponents including how to simplify or evaluate expressions and write the answer with either positive or no exponents.
Paul Dawkins
Paul's Online Notes: Factoring Polynomials: Practice Problems
Practice exercise reviews factoring polynomials including how to factor out the greatest common factor, factoring by grouping, factoring quadratics, and factoring polynomials with degree greater than 2.
Paul Dawkins
Paul's Online Notes: Radicals: Practice Page
Practice exercise reviews radicals including writing the expression in exponential form, evaluating simplifying and multiplying them, and rationalizing the denominator.
Paul Dawkins
Paul's Online Notes: Polynomials: Practice Page
Practice exercise reviews how to how to add, subtract and multiply polynomials.
Paul Dawkins
Paul's Online Notes: The Definition of the Limit: Practice Problems
Practice exercise provides problems that review limits including how to use the definition to compute a limit.