| Course Title: Introduction to Proofs Through Analysis |
| Start Date: 01/23/2023 End Date: 05/08/2023 |
| Term: Spring Semester 2023 |
| Description: An introduction to abstract reasoning in the context of real analysis. Topics will be drawn from the real numbers, mathematical induction, functions, sequences, and continuity. The emphasis is on formal mathematical reasoning and writing through proofs. |
| Distribution(s): II - Math & Sciences |
| Academic Level Of Course: Undergraduate | Credits:4.00 |
| Faculty | Phone | Email address |
| Alanna Hoyer-Leitzel | ahoyerle@mtholyoke.edu |
| Meeting Dates | Method | Meeting days | Meeting times | Building name | Room | Frequency |
| 01/23/2023 - 05/08/2023 | Lecture | Tuesday and Thursday | 10:30AM - 11:45AM | CLAP - Clapp Laboratory | 401 | Weekly |
| Requisite Courses | ||
| Prereq: MATH-102 or above. | Take previously | Required |
| Comments |
| Additional Comments |
| Course Tags |
| Cross-listed Sections |
| None |
| Course Availability | ||||
| Section status: Closed | Capacity: 18 | Enrollment: 18 | Available: 0 | Waitlist: 0 |
BOOK INFORMATION
| Book List | Required | Publisher Full Price |
| Title: Introduction to Analysis with Complex Numbers Author: Swanson, Irena Copyright: 2021 Edition: Volume: ISBN: 9789811225857 Publisher: World Scientific |
Recommended | 118.00 |
| Title: The Man Who Knew Infinity: A Life of the Genius Ramanujan Author: Kanigel, Robert Copyright: 1992 Edition: Volume: ISBN: 9780671750619 Publisher: Washington Square Press |
Optional | 18.00 |
| Title: Proofs and refutations: the logic of mathematical discovery Author: Lakatos, Imre Copyright: 1976 Edition: Volume: ISBN: 9781107534056 Publisher: Cambridge University Press |
Optional | 24.99 |
| Title: A Mathematician's Apology Author: Hardy, G. H. Copyright: 2012 Edition: Volume: ISBN: 9781107604636 Publisher: Cambridge University Press |
Optional | 16.95 |
| Additional Book Comments |
| This is the complete book list for this class. |
| Instructor's comments about the book list: We will use the textbook Introduction to Analysis with Complex Numbers minimally and it is available as a pdf online. Please do not purchase the book unless you really want to. There are a few other books listed as optional. These are wonderful books but we will just use them for some reflection exercises and a pdf of the chapters we'll read will be provided. |