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MATH 648Foundations of Calculus II

Units
0.50
Level
Graduate
Faculty
Mathematics
Subject
Mathematics

MATH 648 as listed in the Fall 2026 Graduate Calendar. The main page has the current version, when it runs, and seats.

This course explores the foundations of integral calculus and the use of series in approximating the basic functions of mathematics. Topics include: Understanding the Riemann Integral and its flaws, the idea of Lebesque, the geometric meaning of the Riemann-Stieltjes integral, the Fundamental Theorem of Calculus, numerical integration, numerical series, uniform convergence of functions and the extraordinary nature of power series, Fourier Series.

Prerequisites

  • Must have completed the following:
    • MATH647 - Foundations of Calculus I (0.50)

Antirequisites

None listed.

Leads to

No course lists it as a requisite.

Check it elsewhere for Fall 2026

Calendar versions

Graduate Calendar

Older Graduate Calendars

In 30 terms, Fall 2010 to Winter 2024