Simon Fraser University
Engaging the World

Course Outlines

Spring 2026 - MATH 158 E100

Calculus II for the Social Sciences (3)

Class Number: 5269

Delivery Method: In Person

Overview

  • Course Times + Location:

    Jan 5 – Apr 10, 2026: Mon, 4:30–5:20 p.m.
    Burnaby

    Jan 5 – Apr 10, 2026: Wed, 4:30–6:20 p.m.
    Burnaby

  • Exam Times + Location:

    Apr 22, 2026
    Wed, 12:00–3:00 p.m.
    Burnaby

  • Prerequisites:

    MATH 150 or 151 or 154 or 157, with a minimum grade of C-.

Description

CALENDAR DESCRIPTION:

Designed for students specializing in business or the social sciences. Topics include: theory of integration, integration techniques, applications of integration; functions of several variables with emphasis on double and triple integrals and their applications; introduction to differential equations with emphasis on some special first-order equations and their applications; sequences and series. Students with credit for MATH 152 or 155 may not take MATH 158 for further credit. Quantitative.

COURSE DETAILS:

Topics Covered:

  • Antiderivatives
  • Definite and indefinite integrals
  • The Fundamental Theorem of Calculus
  • Integration techniques: substitution, powers of trigonometric functions, integration by parts, partial fraction method, 
  • Applications of integration: numerical integration, improper integrals, average value, area and volume
  • Multi-variable functions: double and triple integrals
  • Differential equations: separable DEs, first order linear DEs, simple models, slope field, Euler's Method
  • Sequences and Series: integral test, alternating series, comparison test, absolute and conditional convergence, ratio and root tests, power series and polynomial approximation
  • Applying qualitative analysis to business and economics models

Grading

  • Instructor Questions 0%
  • Online Questions (OQ0-OQ12) 15%
  • Unit Tests (best 5 out of 6) 35%
  • 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.
Quantitative

Materials

REQUIRED READING:

Course Notes: CALCULUS Early Transcendentals - Integral & Multi-Variable Calculus for Social Sciences adapted by Petra Menz and Nicola Mulberry available as a downloadable version from the Canvas MATH 158 course container in full format or section by section. If a student is enrolled in the course, this Canvas MATH 158 course container opens at the start of the term and can be accessed through https://canvas.sfu.ca/.

A Math XL access code for Math 158 must be purchased only through SFU bookstore either in person or online: sfu.collegestoreonline.com > Course Materials > Find eBooks and Access Codes. We have secured the best possible price, which comes with a 3-term access, but it is ONLY available through the SFU bookstore. 

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.