MAST 219
Multivariable Calculus II
Fall 2026 · Multivariate Calculus II
Topics
- Double integrals and Fubini’s theorem
- Polar-coordinate integration
- Applications of double integrals and surface area
- Triple integrals in Cartesian, cylindrical and spherical coordinates
- Changes of variables
- Vector fields and line integrals
- Fundamental theorem for line integrals
- Green’s theorem
- Curl and divergence
- Parametric surfaces and surface integrals
- Stokes’ theorem and the divergence theorem
Readings
- Listed textbook (requirement not stated): J. Stewart. Multivariable Calculus, 9th edition. Cengage Learning, 2020. ISBN 9780357042922 / 9780357746943.
- Supplementary free text: OpenStax, Calculus, Volume 3; in particular chapters 5 and 6. https://openstax.org/details/books/calculus-volume-3
Winter 2026 · MAST 219
Readings
- Multivariable Calculus, 9th Edition by J. Stewart, (Cengage Learning, © 2020) ISBN: 9780357042922 (hardcover) and 9780357746943 (e-book).
Fall 2025 · MAST 219
Readings
- Multivariable Calculus, 9th Edition by J. Stewart, (Cengage Learning, © 2020) ISBN: 9780357042922 (hardcover) and 9780357746943 (e-book).
Winter 2025 · MAST 219
Readings
- Multivariable Calculus, 9th Edition by J. Stewart, (Cengage Learning, © 2020) ISBN: 9780357042922 (hardcover) and 9780357746943 (e-book).
Fall 2024 · MAST 219
Readings
- Multivariable Calculus, 9th Edition by J. Stewart, (Cengage Learning, © 2020) ISBN: 9780357042922 (hardcover) and 9780357746943 (e-book).
Fall 2024 · MATH 265
Readings
- Multivariable Calculus, 9th Edition by J. Stewart, (Cengage Learning, © 2020) ISBN: 9780357042922 (hardcover) and 9780357746943 (e-book).
Winter 2024 · MAST 219
Readings
- Multivariable Calculus, 9th Edition by J. Stewart, (Cengage Learning, © 2020) ISBN: 9780357042922 (hardcover) and 9780357746943 (e-book).
Fall 2023 · MAST 219
Readings
- Multivariable Calculus, 9th Edition by J. Stewart, (Cengage Learning, © 2020) ISBN: 9780357042922 (hardcover) and 9780357746943 (e-book).
Winter 2023 · MAST 219
Readings
- Multivariable Calculus, 9th Edition by J. Stewart, (Cengage Learning, © 2020) ISBN: 9780357042922 (hardcover) and 9780357746943 (e-book).
Fall 2022 · MAST 219
Readings
- Multivariable Calculus, 9th Edition by J. Stewart, (Cengage Learning, © 2020) ISBN: 9780357042922 (hardcover) and 9780357746943 (e-book).
Fall 2021 · MAST 219
Readings
- Multivariable Calculus, 9th Edition by J. Stewart, (Cengage Learning, © 2020) ISBN: 9780357042922 (hardcover) and 9780357746943 (e-book).
Fall 2021 · MATH 265
Readings
- Multivariable Calculus, 9th Edition by J. Stewart, (Cengage Learning, © 2020) ISBN: 9780357042922 (hardcover) and 9780357746943 (e-book).
Winter 2020 · MAST 219
Readings
- Multivariable Calculus, 9th Edition by J. Stewart, (Cengage Learning, © 2020) ISBN: 9780357042922 (hardcover) and 9780357746943 (e-book).
Sources
- Course catalogue ↗2026–2027
- Syllabus or course outline ↗Fall 2026
- Historical course outline ↗Winter 2026
- Historical course outline ↗Fall 2025
- Historical course outline ↗Winter 2025
- Historical course outline ↗Fall 2024
- Historical course outline ↗Fall 2024
- Historical course outline ↗Winter 2024
- Historical course outline ↗Fall 2023
- Historical course outline ↗Winter 2023
- Historical course outline ↗Fall 2022
- Historical course outline ↗Fall 2021
- Historical course outline ↗Fall 2021
- Historical course outline ↗Winter 2020
- Fall 2026 outline. The 8th edition of Stewart may also be used if already owned.
- 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.