University of St. Andrews (UK)
University of St. Andrews: A History of the Calculus
A site detailing the history of calculus. Many links to informative pages on historical figures. Also links to birthplace maps.
Other
Matheno: How to Solve Optimization Problems in Calculus
Need to solve Optimization problems in Calculus? This blog illustrates the steps needed to solve them routinely for yourself.
Science Struck
Science Struck: Father of Calculus Newton or Leibniz?
Discusses the continuing debate over who was the founder of calculus, Sir Isaac Newton or Gottfried Wilhelm von Leibniz.
Other
Math Mistakes: Common Calculus Mistakes
Learn from other student's mistakes by reviewing the following Calculus topics: limits, the power rule, derivatives, the sum rule, the product rule, the quotient rule, the chain rule, implicit differentiation, indefinite integrals,...
Mathematics Archives
Math Archives: Visual Calculus: Even and Odd Functions
A detailed definition of even and odd functions begins an in-depth look at how these functions are composed and evaluated in the study of math. It goes from from basic algebra through calculus. Interactive LiveMath Notebooks are provided...
Department of Defense
Do Dea: Ap Calculus
View explanations and examples using the Fundamental Theorem of Calculus. Great review for the AP Calculus test!
New York Times
New York Times: Steven Strogatz on the Elements of Math Series the New York Times
[Free Registration/Login Required] On this site, Cornell University mathematics professor, Steven Strogatz, shares his 15-part series of columns on the elements of math. He investigates topics ranging from negative numbers to subtraction...
Stefan Warner and Steven R. Costenoble
Finite Mathematics & Applied Calculus: Exponential Functions and Models
The resource investigates exponential functions and models. Students learn about the concepts through notes and examples. A chapter quiz, review exercises, and chapter summary are included.
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!
Stefan Warner and Steven R. Costenoble
Finite Mathematics & Applied Calculus: Review Exercises: Applications of the Derivative
Students review applications of derivatives. The resource consists of review exercises on the calculus concepts.
Other
Old Dominion University: Calculus Animations W Mathcad
Explanations and animations of limits, slopes, derivatives, arc length, infinite series, conic sections, cycloids, parametric curves, polar curves, quadric surfaces, and more.
Other
Karl's Calculus Tutor: Basic Algebra Concepts
This site is a comprehensive review of algebraic basics including equations, the distributive law, the equation of a straight line, quadratic equations, polynomials, the difference of squares, the Pythagorean distance formula, and...
Paul Dawkins
Paul's Online Notes: Calculus Ii: Vectors
The resource examines vectors and their properties. Topics investigated are vector, vector arithmetic, dot product, and cross product. Class notes, definitions, and examples with detailed solutions are included. The notes are available...
University of California
Ucla: Speed and Velocity
Discusses the meaning of velocity in terms of a graphical representation. Calculus-based discussion. Good graphics.
EL Education
El Education: Calculicious: Making Calculus Delicious
This book was created by seniors at High Tech High in San Diego, California. It is a product from a cross-curricular study of art and mathematics. For one semester, the students worked on a project in math class and art class that...
Florida State University
Florida State University: Science, Optics & You: Sir Isaac Newton
Biography of Sir Isaac Newton (1642-1727), a scientist whose impact is felt in many disciplines today. His laws of motion are integral to basic physics, and he co-invented calculus.
Paul Dawkins
Paul's Online Notes: Common Graphs Practice Problems
In this section we will do a very quick review of many of the most common functions and their graphs that typically show up in a Calculus class.
Department of Defense
Do Dea: Resistance Proportional to Velocity
Resistance to forward movement will be proportional to the velocity of the object. That relationship can be expressed by an equation that you can learn about on this page. Great review for the AP Calculus test!
Department of Defense
Do Dea: Growth and Decay
Practice problems that each illustrate a different use of the Law of Exponential Change. Examples and explanations are provided. Great review for the AP Calculus test!
Science4Fun
Science4 Fun: Isaac Newton
Brief biographical sketch of Isaac Newton, famous scientist whose discoveries include the law of gravitation, three laws of motion, reflective telescope, and calculus.
Oregon State University
Calculus Quest: Power Functions
This CalculusQuest site is details the power function by looking at the significance of the function, standard notation, the rules of exponentiation, domains and graphs of power functions, and also calculations. This site is a good...
Stefan Warner and Steven R. Costenoble
Finite Mathematics & Applied Calculus: Creating a Family Trust
Students apply statistics concepts to a real world example. Topics include normal and beta distributions.
Stefan Warner and Steven R. Costenoble
Finite Mathematics & Applied Calculus: Matrix Addition and Scalar Multiplication
Students learn about matrix addition and subtraction, and scalar multiplication. The tutorial consists of class notes, examples, and practice problems. Review exercises and a chapter quiz are included.
Other
Karl's Calculus Tutor: L'hopital's Rule
This site provides a detailed overview of L'Hopital's Rule, and includes numerous examples and exercises. The site begins with a lengthy real world example, page-down until you see L'Hopital's Rule in red if you wish to skip the real...
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