Spring 2021 - MATH 320 D100
Introduction to Analysis II (3)
Class Number: 3542
Delivery Method: Remote
Overview
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Course Times + Location:
Jan 11 – Apr 16, 2021: Mon, Wed, Fri, 1:30–2:20 p.m.
Burnaby -
Exam Times + Location:
Apr 21, 2021
Wed, 12:00–3:00 p.m.
Burnaby
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Instructor:
Nilima Nigam
nna29@sfu.ca
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Prerequisites:
MATH 242 and 251.
Description
CALENDAR DESCRIPTION:
Sequences and series of functions, topology of sets in Euclidean space, introduction to metric spaces, functions of several variables. Quantitative.
COURSE DETAILS:
This course will be delivered online. You are expected to have access to a reliable internet connection. You will need a computer from which you can download course materials and activities and watch live and/or recorded lectures and participate in live tutorials or workshops.
You will need a camera to take photographs of your work. A phone is acceptable.
Who should take this course?
The course is aimed at students interested in rigor, mathematics and mathematical thinking. Along with analysis 1 and introductory algebra, this is a foundational course. That means the concepts and material in this course will be used in further mathematics courses. It also means that it will require practice and dedication.
What is the material we'll see in this class?
The breathtaking description in the calendar says: Sequences and series of functions, topology of sets in Euclidean space, introduction to metric spaces, functions of several variables.
You were introduced to many of these ideas in Math 242 (Intro to Analysis 1), and this course delves into these concepts in a deeper way. We'll revisit the notion of distances, and we'll see some generalizations of the notion of continuity, differentiation and integration. We'll examine again sequences and series of functions, and end the term by thinking about some familiar "special" functions: exponentials, logarithms, sines and cosines.
Since this is still a new and very careful way of thinking for most students, the key to success in this course is practice.
COURSE DELIVERY
- Lecture: synchronous- lectures will be held at fixed times, on-line
- Midterm(s): synchronous; date: TBA
- Final exam: synchronous; date: TBA
Grading
- Homework 30%
- Midterm I 15%
- Midterm II 15%
- Final Exam 40%
NOTES:
THE INSTRUCTOR RESERVES THE RIGHT TO CHANGE ANY OF THE ABOVE INFORMATION.
Students should be aware that they have certain rights to confidentiality concerning the return of course papers and the posting of marks.
Please pay careful attention to the options discussed in class at the beginning of the semester.
Materials
REQUIRED READING:
Principles of Mathematical Analysis
3/E
Walter Rudin
McGraw-Hill
ISBN: 9780070542358
Registrar Notes:
ACADEMIC INTEGRITY: YOUR WORK, YOUR SUCCESS
SFU’s Academic Integrity web site http://www.sfu.ca/students/academicintegrity.html is filled with information on what is meant by academic dishonesty, where you can find resources to help with your studies and the consequences of cheating. Check out the site for more information and videos that help explain the issues in plain English.
Each student is responsible for his or her conduct as it affects the University community. Academic dishonesty, in whatever form, is ultimately destructive of the values of the University. Furthermore, it is unfair and discouraging to the majority of students who pursue their studies honestly. Scholarly integrity is required of all members of the University. http://www.sfu.ca/policies/gazette/student/s10-01.html
TEACHING AT SFU IN SPRING 2021
Teaching at SFU in spring 2021 will be conducted primarily through remote methods. There will be in-person course components in a few exceptional cases where this is fundamental to the educational goals of the course. Such course components will be clearly identified at registration, as will course components that will be “live” (synchronous) vs. at your own pace (asynchronous). Enrollment acknowledges that remote study may entail different modes of learning, interaction with your instructor, and ways of getting feedback on your work than may be the case for in-person classes. To ensure you can access all course materials, we recommend you have access to a computer with a microphone and camera, and the internet. In some cases your instructor may use Zoom or other means requiring a camera and microphone to invigilate exams. If proctoring software will be used, this will be confirmed in the first week of class.
Students with hidden or visible disabilities who believe they may need class or exam accommodations, including in the current context of remote learning, are encouraged to register with the SFU Centre for Accessible Learning (caladmin@sfu.ca or 778-782-3112).