Dd loved her Calculus learning experiences through a variety of sources. She has read plenty of Calculus books (some are listed below under Reading list) and worked on plenty of Calculus problems. She also liked the latest AOPS Calculus book very much, and there is a wonderfulcourse that goes with the book. She also enjoyed reading Life of Fred Calculus book. I am listing a few resources for AP Calculus preparation.
AP Calculus consists of two exams-AP Calculus AB and AP Calculus BC. There are various online and distance courses available to learn Calculus, some of which I have listed below.CollegeBoard has in depth information on the syllabus, learning materials and AP exam information. Read the AP Calculus AB and AP Calculus BC course descriptions to get an idea as to what is involved in doing well on the AP exams. Check out the past AP Calculus AB and AP Calculus BC Free Response(FR) questions.
- Websites, tutorials, lecture notes, cheat sheets and more
Calculus.Org is a wonderful in depth website that has links and resources on AP and General Calculus.
Ask Mr. Calculus is a Calculus help page with past AP exam Free Response questions, interactive Calculus learning pages, Visual Calculus etc.
Visual Calculus nice site with great tutorials.
Karl's Calculus Tutor online tutorials and lessons.
Calculus Lecture Notes from the University of Toronto at Scarborough College. Includes many past exams.
Graphics for the Calculus classroom. Great visual explanations.
Calculus tutorials from The Connected Curriculum Project, Dept of Mathematics, Carroll College, Montana.
Calculus Help.com interactive Calculus help with some humor injected lessons.
Video Calculus from the University of Tennessee Math Department at Knoxville. It is an excellent resource that includes tutorials, drills and programs for pre-calculus and calculus.
Calculus Applets interactive applets for single variable calculus.
PowerPoint lectures of AP Calculus AB and BC.
AP Calculus lessons on PowerPoint lessons and tutorials.
Calculus on the web from Temple University.
MIT AP Calculus courses. Free opencourseware.
Math Forum's Math Tools for Calculus.
Calculus Cheat sheets from Paul's online Math notes.
Calculus course information links, resources on AP Calculus.
SOS Mathematics pages on Calculus.
History of Calculus wonderful site on History of Calculus.
Calculus for Beginners and Artists from MIT.
Free Online Calculus courses from William Smith.
Calculus Page Problems from eCalculus.org.
- Graphing Calculator Resources
Dh and I never used a Graphing Calculator in India even though we had to learn much more advanced Calculus than the AP Calculus courses here. There were memorization and manipulations involved in solving advanced Calculus problems without having to resort to a calculator of any sorts. I am not sure if Graphing Calculators are used these days in India by all high school kids. We very much doubt that it would be practiced considering the prohibitive cost of these calculators to be able to afford by all Indian high school kids. We have exposed dd to both the version of learning with and without a graphing calculator, although the latter learning is not necessary to do so here in the US. She loves her Graphing Calculator although she enjoys working without them too.
Dd uses the above pictured Graphing Calculator for advance mathematics, mathematical programming, 3D graphing, along with numerous other tasks. There are numerous resources on the web regarding Graphing Calculators. I have listed a few below.
Check out the Education Technology page in Texas Instruments to learn all about Graphing Calculators
Graphing Calculator programs various programs.
Online Graphing Calculator from Cool Math.
Graphing Calculator pages check out the various programs, tips and resources.
Calculus Calculator programs yet another site with numerous info.
Calculator pages on various calculators.
Graphing Calculators in Calculus see how it is used for Calculus.
Calculus with the TI-89 by Brendan Kelly
Texas Instruments TI-89 Titanium Graphing Calculator the one which is usable in learning Calculus.
- Articles on Calculus learning.
Tips for successful Calculus course from Harvard.
Learning Calculus Prepared by: Susan Hermiller, Melanie Martin, Eric York.
HOW TO SUCCEED IN CALCULUS: For Calculus Students, By Calculus Students; Dr. Woodland's students from Fall 1998.
How to succeed in Calculus in Georgia Tech tips and pointers.
How to succeed in AP Calculus from a high school site.
Read about The Calculus Trap by Richard Rusczyk, which talks about the best course of path for math learning for the very gifted student.
Why Do We Study Calculus? An interesting article on the importance of Calculus.
- Teacher's sites
- Calculus Course Choices
There are many online free Calculus courses as well as fee based ones. One can also take the Calculus course through the local community college or by hiring a tutor. Dd learned much of her Calculus through self learning by working through Spivak Calculus and Stewart Calculusbooks. She loves the AOPS Calculus book as well. Find the most appropriate course path that fits your child's needs and learning styles.
Art of Problem Solving (AOPS) Calculus Course My dd loves AOPS courses and books. This is great for a very mathy kid. It is an intense, challenging course that prepares a student for AP Calculus exam.
Math Archives Calculus courses online. A compiled list of varied Calculus courses available on the web.
Calculus courses from Hippocampus.
AP Calculus courses from UCLA.
Aleks Math review for AP Calculus
Thinkwell Calculus Courses for both AB and BC.
EPGY AP Calculus courses.
Apex AP Calculus AB course.
Chalk Dust Calculus Courses.
Life of Fred Calculus book is a fun way to learn Calculus.
Change and Motion: Calculus Made Clear from the Teaching Company.
- Calculus DVDs
Teaching Company Calculus Lectures in DVD and Audio formats.
The Calculus 1 & 2 Tutor - 2 DVD Set! DVD ~ Jason Gibson.
The Advanced Calculus 2 Tutor - 4 DVD Set DVD ~ Jason Gibson.
Calculus
Instructional DVDs by Ron Larson.
The Standard Deviants - Calculus DVD Pack (Conquer Calculus 1 & 2) ~ Standard Deviants.
- Few of the recommended Calculus Texts
Calculus of a Single Variable: AP Edition by Ron Larson.
Calculus (With Analytic Geometry) by Ron Larson.
Calculus: Graphical, Numerical, Algebraic, AP Edition by Franklin Demana, Bert K. Waits, Daniel Kennedy.
Calculus: Concepts and Applications by Paul A. Foerster.
Calculus: Single Variable by Deborah Hughes-Hallett.
Calculus: Early Transcendentals (Stewart's Calculus Series) by James Stewart.
Essential Calculus: Early Transcendentals by James Stewart.
AOPS(Art of Problem Solving) Calculus Text by David Patrick.
Free download of Calculus:Single-Variable by Hughes-Hallett, Deborah, Andrew M. Gleason, William G. McCallum, et al.
- AP Calculus Exam Prep Books
- Other interesting Calculus Books
Free Calculus Books from Temple University
Calculus for Dummies by Mark Ryan
How to Ace Calculus: The Streetwise Guide by Colin Adams
The Complete Idiot's Guide to Calculus by W. Michael Kelley
Understanding Calculus online book
Calculus the Easy Way (Barron's E-Z Calculus) by Douglas Downing
Calculus by Spivak (advanced)
The Calculus Lifesaver: All the Tools You Need to Excel at Calculus (Princeton Lifesaver Study Guides) by
Adrian Banner
Calculus Problem Solver (REA) (Problem Solvers) by The Staff of REA
Introduction to Calculus and Analysis, Vol. 1 (Classics in Mathematics) by
Richard Courant, Fritz John
Calculus, Vol. 1: by Tom M. Apostol
Calculus: A Complete Course by Ross L. Finney
Calculus Demystified : A Self Teaching Guide by Steven Krantz
Quick Calculus: A Self-Teaching Guide by Daniel Kleppner
Geometry and Trigonometry for Calculus by Peter H. Selby
Calculus: An Intuitive and Physical Approach by Morris Kline
The Humongous Book of Calculus Problems: For People Who Don't Speak Math by W. Michael Kelley
- Calculus in the Movies (Please Preview)
Stand and Deliver(1987)
The Mirror Has Two Faces (1996)
- Calculus Reading list
Best part of the exam preparation for dd is the wonderful set of books she gets to read. I am listing some here.
Letters to a Young Mathematician by Ian Stewart
Reading the Principia: The Debate on Newton’s Mathematical Methods for Natural Philosophy from 1687 to 1736 by Niccolò Guicciardini
Zero to Lazy Eight: The Romance Numbers by Alexander Humez
The Origins of the Infinitesimal Calculus by Margaret E. Baron
The Calculus of Friendship by Steven Strogatz
The Calculus Gallery: Masterpieces from Newton to Lebesgue by William W. Dunham
The Hitchhiker's Guide to Calculus by Michael Spivak
What Is Calculus About? (New Mathematical Library) by W. W. Sawyer
Journey through Genius: The Great Theorems of Mathematics by William W. Dunham
The Housekeeper and the Professor: A Novel by Y ko Ogawa
The Higher Calculus: A History of Real and Complex analysis from Euler to Weierstrass by
Umberto Bottazzini
The Development of the Foundations of Mathematical Analysis from Euler to Riemann by
Ivor Grattan-Guinness
The History of the Calculus and Its Conceptual Development by Carl B. Boyer
Calculus On Manifolds: A Modern Approach To Cla... by Michael Spivak
Mathematics and its History by John Stillwell
The Calculus Wars: Newton, Leibniz, and the Greatest Mathematical Clash of All Time by Jason Socrates Bardi
Newton's Gift: How Sir Isaac Newton Unlocked the System of the World by David Berlinski
The Principia (Great Minds) by Isaac Newton
The Principia: Mathematical Principles of Natural Philosophy by Isaac Newton
Calculus Gems (Spectrum) by George Finlay Simmons
Excursions in Calculus: An Interplay of the Continuous and the Discrete (Dolciani Mathematical Expositions) by Robert Young
The Manga Guide to Calculus by Hiroyuki Kojima
Forgotten Calculus by Barbara Lee, Ph.D. Bleau
A Tour of the Calculus by David Berlinski
For more Math Reading lists check Math/CS book lists in the side bar.
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