School:Mathematics/Calculus

Calculus An introduction from the School of Mathematics

This course aims to provide an introduction to Differential and Integral Calculus for year one students. 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