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Massachusetts Institute of Technology
Mit: Open Course Ware: Calculus (Textbook Study Guide)
The online course consists of a study guide about calculus. Topics included are differentiation, vectors, infinite series, polar coordinates, and integration.
Massachusetts Institute of Technology
Mit: Open Course Ware: Calculus (Textbook Instructor's Manual)
The online course consists of a textbook instructor's manual about calculus concepts. Topics included are differentiation, vectors, infinite series, polar coordinates, and integration.
Massachusetts Institute of Technology
Mit: Open Course Ware: Calculus (Textbook)
The online course consists of a textbook about calculus concepts. Topics included are differentiation, vectors, infinite series, polar coordinates, and integration.
Wolfram Research
Wolfram Math World: Convergent Series
This page gives a brief overview of convergence as it pertains to series. Somewhat difficult to understand if you are not already familiar with the topic. The site gives fundamental information pertaining to all series of converent...
Georgia State University
Georgia State University: Hyper Physics: Infinite Series
Short site from Georgia State University Department of Physics and Astronomy explaining the infinite exponential series.
CK-12 Foundation
Ck 12: Analysis: Sums of Infinite Geometric Series
[Free Registration/Login may be required to access all resource tools.] This lesson covers identifying infinite geometric series for which a sum can be determined, and finding the sum.
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.
Famous Scientists
Famous Scientists: Srinivasa Ramanujan
A short biography about the Indian mathematician who made extraordinary contributions to mathematical analysis, number theory, infinite series, and continued fractions.
Other
If Only Every Function Were a Polynomial
This site explains why not every function is a polynomial and discusses infinite series.
University of St. Andrews (UK)
University of St. Andrews: Brook Taylor
This University of St. Andrews page offers an excellent biography on Brook Taylor, an English mathematician and physicist (1685-1731.) Discusses his life and his contributions to these academic fields.
Wolfram Research
Wolfram Math World: Sine
MathWorld provides graphs of the sine function, both 2-dimensional and 3-dimensional. Higher level mathematical applications given, including the hyperbolic sine function, representation of the sine function as an infinite sum as well as...
Massachusetts Institute of Technology
Mit: Open Course Ware: Calculus With Theory
The online course consists of educational materials about calculus theory. Lecture notes, syllabus, and assignments with solutions are included.
Wolfram Research
Wolfram Math World: Golden Ratio
Math World explains the Golden Ratio, gives the formula for finding the irrational number, and expresses this value as an infinite series. Also defines and represents the Ratio geometrically, its relationship to the Fibonacci numbers,...
Sophia Learning
Sophia: Equations That Have Infinitely Many Solutions: Lesson 5
This lesson will demonstrate how to recognize when an equation has infinitely many solutions. It is 5 of 6 in the series titled "Equations that have Infinitely Many Solutions."
National Council of Teachers of Mathematics
The Math Forum: Imaginary Exponents and Euler's Equation
"What does it mean to have an imaginary exponent?" This site has an exceptional answer and explains it in two different ways
Texas Instruments
Texas Instruments: Integral Test
This activity will demonstrate the use of the integral test to discuss the convergence of an infinite series.
Cuemath
Cuemath: Sequences
A comprehensive guide for learning all about sequences with definitions, the types of sequences, examples of sequences, formulas for sequences, solved examples, and practice questions.
Oswego City School District
Regents Exam Prep Center: Sequences
The lesson discusses sequences. Students learn about finite sequences, infinite sequences, and sequences with patterns. The resource consists of class notes, calculator tips, examples, and practice problems with solutions. The teacher...
Shodor Education Foundation
Shodor Interactivate: Tortoise and Hare Race
Step through the tortoise and hare race, based on Zeno's paradox, to learn about the multiplication of fractions and about convergence of an infinite sequence of numbers.
Wolfram Research
Wolfram Math World: Convergence Tests
This page provides links to information about tests to determine the convergence or divergence of a series. No information about convergence tests is offered directly at this link.
Math Notes and Math Tests
Pre Calculus Note: Arithmetic Sequences and Partial Sums [Pdf]
The tutorial discusses sequences and series. Students learn about arithmetic sequences, geometric sequences, partial sums, and infinite geometric series. The resource consists of class notes and examples with solutions.
Other
Ctte: Geometer's Sketch Pad Activities
This site offers numerous activities for middle school and high school students to explore using Geometer's Sketch Pad.
Mocomi & Anibrain Digital Technologies
Mocomi: Srinivasa Ramanujan Biography
Interesting biographical information and famous quotes about Srinivasa Ramanujan, a famous mathematician.
Mathematics Archives
Math Archives: Calculus at the University of Tennessee Knoxville: 142 Table of Contents
At this site the student can move to sites on various topics in calculus. The site then has a link to both a tutorial and example site
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