MATH 3321 Analysis I
Students may not take both MATH3320 and MATH3321. This course, with MATH3322, studies the basic structure of the real numbers. Topics include the least upper bound principle, compactness of closed intervals (the Heine-Borel theorem), sequences, convergence, the Bolzano-Weierstrass theorem, continuous functions, boundedness and intermediate value theorems, uniform continuity, differentiable functions, the mean value theorem, construction of the Riemann integral, the fundamental theorem of calculus, sequences and series of functions, uniform convergence, the Weierstrass approximation theorem, special functions (exponential and trig), and Fourier series.
Course overview
- Department
- Mathematics
- School
- MCAS
- Credits
- 3
- Level
- Undergraduate
- Offered
- Every Fall
Catalog details
Requirements fulfilled
- Biology B.S.: Quantitative corequisite options (Current University Catalog; students should confirm their catalog year)
- Mathematics B.S.: Required mathematics courses (Current University Catalog; students should confirm their catalog year)
- Computer Science B.S.: Upper-level mathematics option (Current University Catalog; students should confirm their catalog year)
- Mathematics: 12 elective credits, chosen from (Current University Catalog; students should confirm their catalog year)
Course evaluations
- Course rating
- 4.23 / 5 · Very Good
- Instructor rating
- 4.47 / 5 · Very Good
- Terms evaluated
- 5
| Term | Instructor | Course overall | Instructor overall | Well organized | Clear learning objectives | Intellectually challenging | Helpful assignments | Applicable beyond course | Attendance necessary | Weekly effort | Responses |
|---|---|---|---|---|---|---|---|---|---|---|---|
| Fall 2025 | Kathryn Lindsey | 4.5 | 4.6 | 4.7 | 4.8 | 4.8 | 4.6 | 4.6 | 4.5 | 4–6 hrs/week | 21 of 25 |
| Fall 2024 | Mark Reeder | 4.6 | 4.7 | 4.7 | 4.7 | 5.0 | 4.8 | 4.8 | 4.7 | 10+ hrs/week | 20 of 23 |
| Fall 2023 | Kathryn Lindsey | 4.5 | 4.7 | 4.6 | 4.6 | 4.8 | 4.8 | 4.6 | 4.8 | — | 14 of 16 |
| Fall 2023 | Qingfeng Lyu | 4.5 | 4.2 | 4.6 | 4.6 | 4.8 | 4.8 | 4.6 | 4.8 | — | 14 of 16 |
| Fall 2022 | Brian Lehmann | 3.5 | 4.2 | 4.5 | 4.4 | 5.0 | 4.4 | 4.1 | 4.5 | 10+ hrs/week | 20 of 24 |
| Fall 2021 | Mark Reeder | 3.9 | 4.4 | 4.7 | 4.7 | 4.9 | 4.8 | 4.4 | 4.8 | 10+ hrs/week | 15 of 24 |