| Course Title: Topics in Analysis: 'Measure Theory' |
| Start Date: 09/09/2026 End Date: 12/22/2026 |
| Term: Fall Semester 2026 |
| Description: Many problems such as calculating the area of a surface, volume of a geometric shape, expected return from an investment and even solutions to differential equations all essentially reduce to being able to "measure" various objects, in other words, integrate various functions. Students in math, statistics, and other fields like economics will often encounter measure-theoretic language in their post-graduate work in academia and in industry. We will primarily focus on the theory of Lebesgue measure on the real line. Some topics may include the extended real number system, outer measure, measurable sets, measurable functions, Lebesgue integration and modes of convergence, and time permitting, abstract measure spaces and L^p spaces. |
| Distribution(s): II - Math & Sciences , TP - Topics Course |
| Academic Level Of Course: Undergraduate | Credits:4.00 |
| Faculty | Phone | Email address |
| Ishfaaq Mohammed Imtiyas | iami@mtholyoke.edu |
| Meeting Dates | Method | Meeting days | Meeting times | Building name | Room | Frequency |
| 09/09/2026 - 12/22/2026 | Lecture | Monday, Wednesday and Friday | 09:00AM - 10:15AM | TBA | TBA | Weekly |
| Requisite Courses | ||
| Prereq: MATH-301. | Take previously | Required |
| Comments |
| Additional Comments |
| Course Tags |
| Cross-listed Sections |
| None |
| Course Availability | ||||
| Section status: Open | Capacity: 18 | Enrollment: 0 | Available: 18 | Waitlist: 0 |
BOOK INFORMATION
| Book List | Required | Publisher Full Price |
| To be determined. |
| Additional Book Comments |
| This is NOT the complete book list for this class. |