**The New Calculus Course.**

**The new calculus is the first and only rigorous formulation of calculus in human history. There is no use of the infinity concept, the ill-formed limit or non-existent infinitesimals. The new calculus is not just a reformulation of Newton's flawed calculus, it is a new and rigorous calculus with many features not possible in Newton's calculus.**

**In every aspect, the new calculus contains the best of all ideas (Archimedes, Newton, Leibniz) and much more. With respect to multi-variable calculus, there is the brand new mathematics of tangent objects. These tangent objects make working with partial derivatives and vectors far simpler than the conventional methods. More information to be shared once I am recognised or my book (**

*What you had to know in mathematics but your educators could not tell you*) is published, whichever comes first.**What I hope to accomplish, is to prove that if one has only a high school education in algebra, geometry and trigonometry, one can easily learn the new calculus in just 2 weeks. Each section is very simple, introducing topics incrementally. A reader should be able to understand every section without any difficulty. If you have already learned calculus, then you may be able to complete the entire course in just a few hours.**

No matter how simple you may find a particular section, it is recommended that you work through each section sequentially. Spend some time thinking about each concept. Be sure to download and run the applets. Most of the instruction and more information, is contained in these applets. On completion, I invite you to provide a review as feedback (See contact TAB).

No matter how simple you may find a particular section, it is recommended that you work through each section sequentially. Spend some time thinking about each concept. Be sure to download and run the applets. Most of the instruction and more information, is contained in these applets. On completion, I invite you to provide a review as feedback (See contact TAB).

**All red links, are links to the applets that you must download and study. You can also run these applets in your browser if it is Java enabled.**

**The applets should be studied thoroughly. All the instruction in these lessons, is delivered by means of the applets. The concepts are visual and dynamic, so that a learner can see the facts immediately, without having to read a lot of informational text. Spend some time thinking about the concepts. If you have any questions you would like to ask, I invite you to post these using the Contact tab.**

**Only single variable differentiation and integration are covered in the lessons.**

There is much more detail provided at the main site:

**The New Calculus**

**This course can be supplemented by the reading materials at: The New Calculus Course Site**

**Why do I use Geogebra software?**

**First of all, it's free, so everyone has access to it. Secondly, it's easy for students and non-programmers to learn. Lastly, it has features that facilitate dynamic and interactive learning. My favourite CAS software is MATLAB, even though its programming language is poor and its vector architecture takes some getting used to. For serious applications, I develop in VC++ and use the MATLAB engine through its API. I have used most of the available CASes and know from experience that**

*simple is best*. Mathematica would be one of the better options if its language syntax was well designed, but it certainly has nice animation features.**Unfortunately, Geogebra has many bugs, and one needs to be vigilant. The last bug I found, was when I attempted to draw a moving tangent line to the function given by f(x) = (x-1)^(1/3) + 1. The tangent line is displayed to the right side of the inflection point, that is, for all x>1 but not displayed for x<1. This is an easy problem to fix, because one can create one's own moving tangent line quite easily. The Java scripting feature in Geogebra is also not well implemented.**