Centre for Extended Learning(CEL)
East Campus 3 (EC3)
195 Columbia St. W.
Waterloo, ON
519-888-4002
extendedlearning@uwaterloo.ca
For Prospective Students
For Current Students
Course Code | MATH 647 |
Course Title | Foundations of Calculus I |
Online Offers | No offers currently scheduled. Last offer: Fall 2020 |
Course Location | Online |
Credit Weight | 0.5 |
Course Description |
This course will explore the foundations of differential calculus, the role of rigour in mathematics, and the use of sophisticated mathematical software. Topics include: A brief primer on logic and proof, axiom of choice and other ideas from set theory, convergence of sequences and the various forms of the completeness axiom for R, detailed study of limits, continuity and the Intermediate Value Theorem, fundamentals of differentiation and the importance of linear approximation, role of the Mean Value Theorem, the nature and existence of extrema, Taylor's Theorem and polynomial approximation, MAPLE as a tool for discovery. Typical terms may not reflect online offerings. |
Course Work and Exam | Fall 2020 course outline (note 2) |
Author(s) | Brian Forrest |
Requisites |
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System Requirements |
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Taught in | English |
Special Notes | 1) This course is only open to students in the Master of Mathematics for Teachers program. |
How to Register: Waterloo Students |
Enrol In, Drop, and Swap Classes Online |
How to Register: Non-Waterloo Students |
How to Apply - Prospective Students |
Fees | Tuition Fees, Financial Aid, Scholarships, and Awards |
Centre for Extended Learning(CEL)
East Campus 3 (EC3)
195 Columbia St. W.
Waterloo, ON
519-888-4002
extendedlearning@uwaterloo.ca
For Prospective Students
For Current Students