Simon Fraser University
Engaging the World

Course Outlines

Spring 2026 - MATH 242 D100

Introduction to Analysis I (3)

Class Number: 5290

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 152 with a minimum grade of C-; or MATH 155 or 158 with a grade of B.

Description

CALENDAR DESCRIPTION:

Mathematical induction. Limits of real sequences and real functions. Continuity and its consequences. The mean value theorem. The fundamental theorem of calculus. Series. Quantitative.

COURSE DETAILS:

Topics covered

Techniques of Proof II 1.4, Basic Set Operations, 2.1
Relations, Functions, Cardinality, Axioms for Set Theory 2.2– 2.5
Ordered Fields [Absolute Value] 3.2, Completeness Axiom [Density]
Topology of the Real Numbers 3.3–3.4, Convergence, Limit Theorems, Monotone and Cauchy sequences, 4.1–4.3, 
Subsequences [limsup and liminf] 4.4, Compact Sets [Heine-Borel, Bolzano-Weierstrass] 3.5
Limits of functions, Continuity and properties 5.1–5.3
Uniform continuity 5.4
Derivative, Mean Value Theorem, L'Hospital's Rule, Taylor's Theorem 6.1–6.4
Riemann integral, Properties of the Riemann Integral, Fundamental Theorem of Calculus 7.1–7.3
Convergence of series, Convergence tests, Power Series 8.1–8.3
Uniform convergence 9.1
Applications of Uniform Convergence, Uniform Convergence of Power series [Abel's Theorem, Fourier Series examples] 9.2–9.3

Grading

  • Homework (11) (best 10 each worth 2%) 20%
  • Midterm 1 20%
  • Midterm 2 20%
  • 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.

REQUIREMENTS:

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). 

Materials

REQUIRED READING:

Analysis with an Introduction to Proof
6E
Steven R Lay
Pearson
ISBN: 9780137871735

E-text (2 Downloads) ISBN: 9780135393901

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.