School:Mathematics/Calculus

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from the School of Mathematics

This course aims to provide an introduction to Differential and Integral Calculus for year one students.
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Course requirements
The following is required or desirable before commencement of study of this course:
 * High School Algebra and Trigonometry
 * For proofs you will need some basic Set Theory

Instructions
Please note that there will be no deadlines in this course. You will have to go through the syllabus at your own pace. Questions and Memos will be posted regularly, and since you will be required to grade your own work (at times) please do it as honestly as possible.

Prescribed textbook: Calculus

Recommended books: https://en.m.wikibooks.org/wiki/High_School_Trigonometry

COURSE OUTLINE

Course Outlineine
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


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