Simon Fraser University
Engaging the World

Course Outlines

Spring 2026 - MATH 320 D100

Introduction to Analysis II (3)

Class Number: 5296

Delivery Method: In Person

Overview

  • Course Times + Location:

    Jan 5 – Apr 10, 2026: Mon, Wed, Fri, 1:30–2:20 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:

Topics include:
 
The Real and Complex Number Systems, Metric Spaces
Basic Topology, Compact Sets
Perfect Sets, Connected Sets, Sequences in Metric Spaces
Upper and Lower Limits, Construction of the Real Field, Some Special Sequences
Power Series, Summation by Parts, Addition and Multiplication of Series, Rearrangements
Continuity and Compactness
Continuity and Connectedness
Discontinuities, Monotonic Functions
Differentiation of Vector-valued Functions, Integration of Vector-valued Functions, Rectifiable Curves
Uniform Convergence
The Stone-Weierstrass Theorem
Additional Topics
 
Many of these topics were covered in MATH 242 but this course will delve into the concepts again in a deeper way, in particular generalizing them to the situation of metric spaces.

Grading

  • Assignments 15%
  • Quizzes 15%
  • Midterm 20%
  • Final Exam 50%

NOTES:

This course is delivered in person, on campus. Should public health guidelines recommend limits on in person gatherings, this course may include virtual meetings. As such, all students are recommended to have access to strong and reliable internet, the ability to scan documents (a phone app is acceptable) and access to a webcam and microphone (embedded in a computer is sufficient). 

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

REQUIRED READING NOTES:

Your personalized Course Material list, including digital and physical textbooks, are available through the SFU Bookstore website by simply entering your Computing ID at: shop.sfu.ca/course-materials/my-personalized-course-materials.

Registrar Notes:

ACADEMIC INTEGRITY: YOUR WORK, YOUR SUCCESS

At SFU, you are expected to act honestly and responsibly in all your academic work. Cheating, plagiarism, or any other form of academic dishonesty harms your own learning, undermines the efforts of your classmates who pursue their studies honestly, and goes against the core values of the university.

To learn more about the academic disciplinary process and relevant academic supports, visit: 


RELIGIOUS ACCOMMODATION

Students with a faith background who may need accommodations during the term are encouraged to assess their needs as soon as possible and review the Multifaith religious accommodations website. The page outlines ways they begin working toward an accommodation and ensure solutions can be reached in a timely fashion.