Mathematics Archives
Math Archives: Visual Calculus: Limits and Greatest Integer Function
Definition of greatest integer function. Includes a visualization animation that requires LiveMath Notebook plugin.
Mathematics Archives
Math Archives: Visual Calculus: Differentiation Formulas
This site gives the definition of a derivative, discusses the derivative of a constant function, gives general operations to use on functions with derivatives (scalar multiplication, addition, and the power rule). The site has multiple...
Cuemath
Cuemath: Piecewise Defined Functions
A comprehensive guide for learning all about piecewise-defined functions with definitions and solved examples.
Massachusetts Institute of Technology
Mit: Calculus Index
This site from the Massachussets Institute of Technology has links to various topics in calculus.
Khan Academy
Khan Academy: Analyzing Problems Involving Related Rates
Related rates problems are word problems where we reason about the rate of change of a quantity by using information we have about the rate of change of another quantity that's related to it. Let's get acquainted with this sort of problem.
Khan Academy
Khan Academy: Analyzing Problems Involving Definite Integrals
The interpretation of definite integrals as accumulation of quantities can be used to solve various real-world word problems.
Khan Academy
Khan Academy: Accumulation of Change
Practice associating the area under rate-of-change curves with net change.
Analyze Math
Analyze Math: First Derivative of a Function
The interactive applet examines the graphical interpretation of the derivative of a function based on the difference quotient.
Interactive Mathematics
Interactive Mathematics: Even Crash Test Dummies Use Calculus
Using the average value of a function, the severity of injury in crashes can be determined with integral calculus. The mini lessons reveal data that shows why it's in your best interest to wear a seat belt.
Department of Defense
Do Dea: Ap Calculus: Radioactivity and Half Life [Pdf]
Apply the Law of Exponential Change to solve a "real-world" science problem. Formulas and examples are provided. Great review for the AP Calculus test!
Math Notes and Math Tests
Pre Calculus Notes: Nonlinear Inequalities [Pdf]
Students explore nonlinear inequalities. Graphs and detailed examples are included.
Wolfram Research
Wolfram Math World: Constant Function
This MathWorld site gives definition and example of constant function.
University of California
U of Ca, Davis: Graphing Functions Using Derivatives
Learn about the graphing of functions through useage of the first and second derivatives.
Virginia Commonwealth University
Virginia Commonwealth University: Inverse Function
This page from the Virginia Commonwealth University is a slide with a short definition of the inverse function and its' derivative. It provides formulas.
Math Notes and Math Tests
Pre Calculus Notes: Finding Zeros of Polynomial Functions [Pdf]
Students learn how to find the zeros of a polynomial function. Topics include rational zero test, factoring, and conjugate pairs of zeros. Techniques and examples are included
Math Notes and Math Tests
Pre Calculus Notes: Polynomial Functions of Higher Degree [Pdf]
The resource discusses polynomial functions of higher degree. Topics examined are infinity, limits, the factor theorem, and the intermediate value theorem.
Math Notes and Math Tests
Pre Calculus Notes: Complex Numbers [Pdf]
The resource discusses complex numbers. Topics examined are the complex plane, complex conjugates, dividing complex numbers, and complex zeros of functions.
Math Notes and Math Tests
Pre Calculus Notes: (More) Properties of Logs [Pdf]
The resource investigates properties of logarithmic functions. Topics examined are laws of exponents, expanding logarithmic expressions, condensing logarithmic expressions, and the change of base formula. Class notes and examples are...
Harvey Mudd College
Harvey Mudd College: Special Trigonometric Integrals
Proves that the cos and sin functions form an orthogonal set, as it applies to Fourier series.
BBC
Bbc: Differentiations
This site presents a tutorial on the topic of differentiation. Points of focus include rules for differentiation, tangents to curves, derivatives, increasing and decreasing functions, and optimization. Examples and a practice test are...
Cuemath
Cuemath: Domain Definition
A comprehensive guide for learning all about domains with definitions, range and function definitions, using graphs to identify them, solved examples, and practice questions.
CK-12 Foundation
Ck 12: Properties of Limits
Limit rules for sums, differences, products, quotients, powers, and roots of simpler functions.
Other
P.u.e.m.a.c.: Conceptos Del Calculo
These are interactive examples that illustrate various concepts of Calculus. It goes from real numbers to the maximum and minimum value of functions. Requires Java.
Other
Representacion Grafica De Funciones
In Spanish. In depth explanations of functions at an advanced level. Includes topics such as concavity, points of inflection and relative maximums and minimums. A great resource for the Spanish speaking student to keep up in the English...