Spring 2022 - MATH 320 D100

Introduction to Analysis II (3)

Class Number: 6523

Delivery Method: In Person

Overview

  • Course Times + Location:

    Jan 10 – Apr 11, 2022: Mon, Wed, Fri, 1:30–2:20 p.m.
    Burnaby

  • Exam Times + Location:

    Apr 22, 2022
    Fri, 12:00–3:00 p.m.
    Burnaby

  • Prerequisites:

    MATH 242 and 251, with a minimum grade of C-.

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:

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

  •  Midterm(s): synchronous; date: TBA
  •  Final exam: synchronous; date: TBA

Grading

  • Homework 30%
  • Midterm 20%
  • Final Exam 50%

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 2022

Teaching at SFU in spring 2022 will involve primarily in-person instruction, with safety plans in place.  Some courses will still be offered through remote methods, and if so, this will be clearly identified in the schedule of classes.  You will also know at enrollment whether remote course components will be “live” (synchronous) or at your own pace (asynchronous).

Enrolling in a course acknowledges that you are able to attend in whatever format is required.  You should not enroll in a course that is in-person if you are not able to return to campus, and should be aware 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.

Students with hidden or visible disabilities who may need class or exam accommodations, including in the context of remote learning, are advised to register with the SFU Centre for Accessible Learning (caladmin@sfu.ca or 778-782-3112) as early as possible in order to prepare for the spring 2022 term.