MATH 364
Analysis I
Fall 2026
Topics
- Proofs and set theory
- Real numbers
- Sequences
- Limits of functions and continuity
- Derivatives
- Elements of topology, time permitting
Readings
- Listed textbook (requirement not stated): F. Dangello and M. Seyfried. Introductory Real Analysis.
- Listed textbook (requirement not stated): S. Abbott. Understanding Analysis.
- Instructor notes posted on Moodle.
- Reference (not explicitly required): Lee Larson. Introduction to Real Analysis. University of Louisville. https://www.kufunda.net/publicdocs/IntroRealAnal.pdf
- Reference (not explicitly required): William F. Trench. Introduction to Real Analysis. http://aimath.org/textbooks/approved-textbooks/trench/
- Reference (not explicitly required): Jonathan Lewin. An Interactive Introduction to Mathematical Analysis. Cambridge University Press. ISBN 9781107694040.
Summer 2026
Readings
- F. Dangello and M. Seyfried, Introductory Real Analysis.
- S. Abbott, Understanding Analysis.
- Introduction to Real Analysis by William F. Trench.
- An Interactive Introduction to Mathematical Analysis by Jonathan Lewin Cambridge University Press ISBN: 9781107694040.
Winter 2026 · MATH 364
Readings
- F. Dangello and M. Seyfried, Introductory Real Analysis.
- S. Abbott, Understanding Analysis.
- Introduction to Real Analysis by William F. Trench.
- An Interactive Introduction to Mathematical Analysis by Jonathan Lewin Cambridge University Press ISBN: 9781107694040.
Fall 2025 · MATH 364
Readings
- Introductory Real Analysis, by F. Dangello & M. Seyfried.
- Introduction to Real Analysis by William F. Trench.
Winter 2025 · MATH 364
Readings
- F. Dangello and M. Seyfried, Introductory Real Analysis.
- S. Abbott, Understanding Analysis.
- Introduction to Real Analysis by William F. Trench.
- An Interactive Introduction to Mathematical Analysis by Jonathan Lewin Cambridge University Press ISBN: 9781107694040.
Fall 2024 · MATH 364
Readings
- Introductory Real Analysis, by F. Dangello & M. Seyfried.
- Introduction to Real Analysis by William F. Trench.
- Notes on Real Analysis by L. Larson.
Summer 2024 · MATH 364
Readings
- Introduction to Real Analysis by William F. Trench.
- Introductory Real Analysis, by F. Dangello & M. Seyfried.
- Notes on Real Analysis by L. Larson.
Winter 2024 · MATH 364
Readings
- Introductory Real Analysis, by F. Dangello & M. Seyfried.
- Introduction to Real Analysis by William F. Trench.
- Notes on Real Analysis by L. Larson.
- An Interactive Introduction to Mathematical Analysis by Jonathan Lewin Cambridge University Press ISBN: 9781107694040.
Fall 2023 · MATH 364
Readings
- F. Dangello and M. Seyfried, Introductory Real Analysis.
- Introduction to Real Analysis by William F. Trench.
- Notes on Real Analysis by L. Larson.
Winter 2023 · MATH 364
Readings
- F. Dangello and M. Seyfried, Introductory Real Analysis.
- Introduction to Real Analysis by William F. Trench.
- Notes on Real Analysis by L. Larson.
Fall 2022 · MATH 364
Readings
- F. Dangello and M. Seyfried, Introductory Real Analysis.
- Introduction to Real Analysis by William F. Trench.
- Notes on Real Analysis by L. Larson.
Winter 2022 · MATH 364
Readings
- F. Dangello and M. Seyfried, Introductory Real Analysis.
- M. Spivak, Calculus, 3rd edition.
- Introduction to Real Analysis by William F. Trench.
- Notes on Real Analysis by L. Larson.
- Supplement for Measure, Integration & Real Analysis, by S. Axler.
Fall 2021 · MATH 364
Readings
- Notes on Real Analysis by L. Larson.
- Frank Dangello and Michael Seyfried, Introductory Real Analysis, Brooks/Cole (auxiliary text).
Sources
- Course catalogue ↗2026–2027
- Syllabus or course outline ↗Fall 2026
- Historical course outline ↗Summer 2026
- Historical course outline ↗Winter 2026
- Historical course outline ↗Fall 2025
- Historical course outline ↗Winter 2025
- Historical course outline ↗Fall 2024
- Historical course outline ↗Summer 2024
- Historical course outline ↗Winter 2024
- Historical course outline ↗Fall 2023
- Historical course outline ↗Winter 2023
- Historical course outline ↗Fall 2022
- Historical course outline ↗Winter 2022
- Historical course outline ↗Fall 2021
- Fall 2026 outline.
- Historical source. Generic Textbook/References headings remain requirement-unspecified. Bibliographic editions and years are retained as printed; source inconsistencies may remain. Automated extraction with conservative filtering; distinct bibliography strings screened for false positives; entire syllabus not manually reviewed.
- Historical source. Generic Textbook/References headings remain requirement-unspecified. Bibliographic editions and years are retained as printed; source inconsistencies may remain. Automated extraction with conservative filtering; distinct bibliography strings screened for false positives; entire syllabus not manually reviewed.
- Historical source. Generic Textbook/References headings remain requirement-unspecified. Bibliographic editions and years are retained as printed; source inconsistencies may remain. Automated extraction with conservative filtering; distinct bibliography strings screened for false positives; entire syllabus not manually reviewed.
- Historical source. Generic Textbook/References headings remain requirement-unspecified. Bibliographic editions and years are retained as printed; source inconsistencies may remain. Automated extraction with conservative filtering; distinct bibliography strings screened for false positives; entire syllabus not manually reviewed.
- Historical source. Generic Textbook/References headings remain requirement-unspecified. Bibliographic editions and years are retained as printed; source inconsistencies may remain. Automated extraction with conservative filtering; distinct bibliography strings screened for false positives; entire syllabus not manually reviewed.
- Historical source. Generic Textbook/References headings remain requirement-unspecified. Bibliographic editions and years are retained as printed; source inconsistencies may remain. Automated extraction with conservative filtering; distinct bibliography strings screened for false positives; entire syllabus not manually reviewed.
- Historical source. Generic Textbook/References headings remain requirement-unspecified. Bibliographic editions and years are retained as printed; source inconsistencies may remain. Automated extraction with conservative filtering; distinct bibliography strings screened for false positives; entire syllabus not manually reviewed.
- Historical source. Generic Textbook/References headings remain requirement-unspecified. Bibliographic editions and years are retained as printed; source inconsistencies may remain. Automated extraction with conservative filtering; distinct bibliography strings screened for false positives; entire syllabus not manually reviewed.
- Historical source. Generic Textbook/References headings remain requirement-unspecified. Bibliographic editions and years are retained as printed; source inconsistencies may remain. Automated extraction with conservative filtering; distinct bibliography strings screened for false positives; entire syllabus not manually reviewed.
- Historical source. Generic Textbook/References headings remain requirement-unspecified. Bibliographic editions and years are retained as printed; source inconsistencies may remain. Automated extraction with conservative filtering; distinct bibliography strings screened for false positives; entire syllabus not manually reviewed.
- Historical source. Generic Textbook/References headings remain requirement-unspecified. Bibliographic editions and years are retained as printed; source inconsistencies may remain. Automated extraction with conservative filtering; distinct bibliography strings screened for false positives; entire syllabus not manually reviewed.
- Historical source. Generic Textbook/References headings remain requirement-unspecified. Bibliographic editions and years are retained as printed; source inconsistencies may remain. Automated extraction with conservative filtering; distinct bibliography strings screened for false positives; entire syllabus not manually reviewed.