MATH 366
Complex Analysis I
Fall 2025
Topics
- Complex-number algebra, polar form and roots
- Analytic functions and Cauchy–Riemann equations
- Harmonic functions and analytic continuation
- Elementary complex functions
- Contour integration and Cauchy–Goursat theorem
- Cauchy integral formulas, Liouville’s theorem and maximum modulus
- Taylor and Laurent series
- Singularities, poles and residues
- Residue applications and the argument principle
- Elementary and fractional-linear mappings
- Branched functions and Riemann surfaces
- Conformal maps and harmonic-function transformations
Readings
- Listed textbook (requirement not stated): J. W. Brown and R. V. Churchill. Complex Variables and Applications, 9th edition. McGraw-Hill Education, 2014. ISBN 0073383171 / 9780073383170.
Winter 2025 · MATH 366
Readings
- Complex Variables and Applications, 9th Edition (2014) by J. W. Brown and R. V. Churchill (McGraw-Hill Education). (Important: only use the 9th edition.) ISBN-10: 0073383171 (Hardcover edition) or 978-0073383170 (Kindle edition).
Winter 2024 · MATH 366
Readings
- Complex Variables and Applications, 9th Edition (2014) by J. W. Brown and R. V. Churchill (McGraw-Hill Education). (Important: only use the 9th edition.).
Winter 2023 · MATH 366
Readings
- Complex Variables and Applications, 9th Edition (2014) by J. W. Brown and R. V. Churchill (McGraw-Hill Education).
Winter 2022 · MATH 366
Readings
- Complex Variables and Applications, 9th Edition (2014) by J. W. Brown and R. V. Churchill (McGraw-Hill Education).
Sources
- Course catalogue ↗2026–2027
- Syllabus or course outline ↗Fall 2025
- Historical course outline ↗Winter 2025
- Historical course outline ↗Winter 2024
- Historical course outline ↗Winter 2023
- Historical course outline ↗Winter 2022
- Fall 2025 outline. The source explicitly says to use only the 9th edition, but does not label the textbook itself as required.
- 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.