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MATH 365

Analysis II

3 credits · Undergraduate

Winter 2026

Topics

  • Riemann integration
  • Series of real numbers
  • Sequences and series of functions
  • Power series and Taylor series

Readings

  • Listed textbook (requirement not stated): F. Dangello and M. Seyfried. Introductory Real Analysis.
    Listed reading
  • Reference (not explicitly required): M. Spivak. Calculus, 3rd edition.
    Listed reading
  • Reference (not explicitly required): William F. Trench. Introduction to Real Analysis. http://aimath.org/textbooks/approved-textbooks/trench/
    Listed reading
Winter 2025 · MATH 365

Readings

  • F. Dangello and M. Seyfried, Introductory Real Analysis.
    Listed reading; requirement unspecified
  • M. Spivak, Calculus, 3rd edition.
    Listed reading; requirement unspecified
  • William F. Trench, Introduction to Real Analysis.
    Listed reading; requirement unspecified
Winter 2024 · MATH 365

Readings

  • Notes on Real Analysis by L. Larson.
    Listed reading; requirement unspecified
  • Frank Dangello and Michael Seyfried, Introductory Real Analysis, Brooks/Cole (auxiliary text).
    Listed reading; requirement unspecified
  • Introduction to Real Analysis by William F. Trench.
    Listed reading; requirement unspecified
Summer 2023 · MATH 365

Readings

  • Frank Dangello and Michael Seyfried, Introductory Real Analysis, Brooks/Cole (auxiliary text).
    Listed reading; requirement unspecified
  • Calculus, 4th Edition by Michael Spivak.
    Listed reading; requirement unspecified
Winter 2023 · MATH 365

Readings

  • Notes on Real Analysis by L. Larson.
    Listed reading; requirement unspecified
  • Frank Dangello and Michael Seyfried, Introductory Real Analysis, Brooks/Cole (auxiliary text).
    Listed reading; requirement unspecified
  • Introduction to Real Analysis by William F. Trench.
    Listed reading; requirement unspecified
Summer 2022 · MATH 365

Readings

  • Introductory Real Analysis, by F. Dangello & M. Seyfried, published by Brooks/Cole.
    Listed reading; requirement unspecified
  • Notes on Real Analysis by L. Larson.
    Listed reading; requirement unspecified
  • Introduction to Real Analysis by William F. Trench.
    Listed reading; requirement unspecified
Winter 2022 · MATH 365

Readings

  • Notes on Real Analysis by L. Larson.
    Listed reading; requirement unspecified
  • Frank Dangello and Michael Seyfried, Introductory Real Analysis, Brooks/Cole (auxiliary text).
    Listed reading; requirement unspecified
  • Introduction to Real Analysis by William F. Trench.
    Listed reading; requirement unspecified
Summer 2021 · MATH 365

Readings

  • F. Dangello and M. Seyfried, Introductory Real Analysis, chapters 6–9.
    Listed reading; requirement unspecified
  • Understanding Analysis, by Stephen Abbott.
    Listed reading; requirement unspecified
Sources