Wolfram Research
Wolfram Math World: Calculus and Analysis
Over two dozen links are provided at this MathWorld site. From Polynomials and Series to Dynamical Systems and Catastrophe Theory, each link provides in-depth explanations and relevant diagrams of the topics at hand.
Texas Instruments
Texas Instruments: Use of Cas in Teaching Differential Calculus by First Princip
This Computer Algebra System (CAS) activity encourages students to investigate the use of CAS to solve functions using derivatives and appropriate formulas.
Texas Instruments
Texas Instruments: Implicit Differentiation
In this activity, students can use the graphing calculator to find the derivative of an implicitly defined function.
Analyze Math
Analyze Math: Differentiation of Logarithmic Functions
Students investigate the derivatives of logarithmic functions. The resource includes examples and practice problems with solutions.
Analyze Math
Analyze Math: Differentiation of Trigonometric Functions
Learners examine the formulas of the derivatives of trigonometric functions. Examples with detailed solutions are included.
Analyze Math
Analyze Math: Differentiation of Exponential Functions
Learners examine the derivatives of exponential functions. The tutorial consists of examples and practice problems with solutions.
Massachusetts Institute of Technology
Mit: Calculus Index
This site from the Massachussets Institute of Technology has links to various topics in calculus.
Interactive Mathematics
Interactive Mathematics: Differential Equations & Rl Circuits
Use differential equations to solve problems dealing with series RL circuits. Examples help you practice the application.
Interactive Mathematics
Interactive Mathematics: Differential Equations & Rc Circuits
Differential equations are applied in solving problems involving electricity and RC circuits. Several examples are provided to allow you to practice applying the concept.
Texas Instruments
Texas Instruments: Zeros of a Cubic
This activity involves some of the prerequisites of calculus relating to functions and equations. It also contains an application of differentiation. (Continued. See "before the activity.")
Analyze Math
Analyze Math: Tables of Derivatives
The resource consists of a table of the common derivatives used in calculus.
Curated OER
University of Minnesota: Graphics for the Calculus Classroom
The University of Minnesota offers an excellent interactive tutorial review site on calculus.
Stefan Warner and Steven R. Costenoble
Finite Mathematics & Applied Calculus: Topic Summaries: Introduction to the Derivative
The topic summary outlines derivatives. Some topics reviewed are average rate of change, derivative rules, and marginal analysis. The resource consists of definitions, notes, and examples.
Stefan Warner and Steven R. Costenoble
Finite Mathematics & Applied Calculus: Review Exercises: Introduction to the Derivative
Students review derivatives. The resource consists of review exercises on the mathematics concepts.
Stefan Warner and Steven R. Costenoble
Finite Mathematics & Applied Calculus: Review Exercises: Derivatives of Powers, Sums, and Constant Multiples
Students review derivative rules. Topics include power, sum, and constant multiple rules. The resource consists of review exercises available in three different levels.
Stefan Warner and Steven R. Costenoble
Finite Mathematics & Applied Calculus: Review Exercises: Product and Quotient Rules
Students review derivative rules. Topics include product and quotient rules. The resource consists of review exercises available in three different levels.
Other
Karl's Calculus Tutor: Applications of Derivatives
This detailed site provides five web pages devoted to the various applications of derivatives. Content includes several examples and learning exercises.
Stefan Warner and Steven R. Costenoble
Finite Mathematics & Applied Calculus: Quiz: Introduction to the Derivative
The online quiz assesses student comprehension of math concepts. The quiz consists of true/false questions about derivatives.
Paul Dawkins
Paul's Online Notes: Calculus I: Derivatives
Learners examine derivatives. Topics investigated are product rule, chain rule, derivatives of trigonometric functions, the definition of the derivative, and related rates. Class notes, definitions, and examples with detailed solutions...
Paul Dawkins
Paul's Online Notes: Calculus Iii: Partial Derivatives
The resource examines partial derivatives. Topics investigated are limits, higher order partial derivatives, chain rule, and directional derivatives. Class notes, definitions, and examples with detailed solutions are included. The notes...
Harvey Mudd College
Harvey Mudd College: Elementary Solution Methods for First Order Od Es
Elementary Solution Methods for First-Order ODEs: Contains a large amount of information regarding first order differential equations, including definitions, examples, and basic properties.
Khan Academy
Khan Academy: Analyzing Problems Involving Rates of Change in Applied Contexts
Differential calculus is all about instantaneous rate of change. Let's see how this can be used to solve real-world word problems.
Khan Academy
Khan Academy: Absolute Minima & Maxima Review
Review how we use differential calculus to find absolute extremum (minimum and maximum) points.
Analyze Math
Analyze Math: Newton's Method to Find Zeros of a Function
Students learn about Newton?s method. Newton?s method is an example of how differentiation is used to find zeros of functions and solve equations numerically. The tutorial consists of examples with detailed solutions.