School:Mathematics/Calculus

Calculus

An introductory course from the School of Mathematics

This course aims to provide a thorough introduction to calculus.

Course requirements

The following is required or desirable before commencement of study of this course:

• Knowledge of basic algebra
• Knowledge of trigonometry
• For those who want a formal treatment of Calculus, basic Set Theory is required.

Course outline

As starting July 8th until I decide to quit (probably later this summer) I'll help anyone interested in learning basic Calculus (primarily Calculus I, but I can try helping out I-III). Right now I'm looking for people interested and then we'll go from there. There are no grades, I might test you from time to time in order to see your progress and suggest what you should do, there is no specific point or concept I'm looking for people to get to before I end, if you only learn limits or derivatives, then you only learn limits or derivatives. You get what you put in. If you have questions, feel free to put them on my discussion page. Later on I might include contact information on my main page (e-mail, I'm not comfortable with people coming to my doorstep or calling me, of course).

I will use the calculus book often, or other sources. As you learn these things by yourself you become accostumed to the book that taught you, so I may show some pages from one of my calculus textbooks.

How I'm thinking about doing this is once you contact me (send me a pretest and any questions/comments on my discussion page), I'll make lecture pages, assignments, exams, etc. for you exclusively and you can come here to answer/ask questions directly on these pages.

Looking forward to this experiment. Fephisto 03:41, 9 July 2006 (UTC)

Update

I've ended this class now, since it looks like it has ended, hope the very very few that were in this program found it helpful, I may do it again next year, for now I'll leave it here as an open program for those interested, I won't be adding new stuff (probably), but if you need help, want to ask something, or have something checked, leave it on my discussion page. Chau! Fephisto 23:49, 19 August 2006 (UTC)

People Signed Up

Vitalij_zad

Superwiki

Lectures

Building up to the Riemann-Darboux Definition

The Riemann-Darboux Integral, Integrability criterion, and monotone/Lipschitz function

Integrability of monotone/Lipshitz functions, Linearity of the Integral, and The Dirichlet Everywhere Non-integrable Function

Assignments

They're on the lecture pages, but if you want to keep track, feedbacked is pretty much the same thing as done, I'm not going to stop you if you've got what ideas you've wanted to take from the exercise.:

Vitalij

Pre-test (Ok)

In Building up to the Riemann-Darboux Definition:

• A Small Exercise (feedbacked) (Added stuff about the Archimedean Property to the module)
• Summing Exercise (feedbacked)
• Exercise (feedbacked)
• Approxiamation Property Proof exercise
• Return of the summing exercise

In The Riemann-Darboux Integral, Integrability criterion, and monotone/Lipschitz function:

• Yet ANOTHER return of that summing exercise
• Integrability criterion proof

Super-Wiki

Pre-test (Waiting)

Examinations

Calculus pre-test

Recommended student evaluation scheme

not available yet