MAST 218

Multivariable Calculus I

3 credits · Undergraduate

Fall 2026

Topics

Parametric curves and polar coordinates
Conic sections
Vectors, dot products and cross products
Lines, planes and quadric surfaces
Vector-valued functions and space curves
Arc length, curvature, velocity and acceleration
Multivariable limits and continuity
Partial derivatives, tangent planes and linear approximation
Chain rule, directional derivatives and gradients
Extrema and Lagrange multipliers

Readings

J. Stewart. Multivariable Calculus, 9th edition. Cengage Learning, 2020. ISBN 9780357042922 / 9780357746943.
Recommended / optional / reference
G. Strang and E. Herman. Calculus, Volume 3. OpenStax, 2016. https://openstax.org/details/books/calculus-volume-3
Recommended / optional / reference

Winter 2026 · MAST 218

Readings

Multivariable Calculus, 9th Edition by J. Stewart, (Cengage Learning, © 2020) ISBN: 9780357042922 (hardcover) and 9780357746943 (e-book).
Listed reading; requirement unspecified

Fall 2025 · MAST 218

Readings

Multivariable Calculus, 9th Edition by J. Stewart, (Cengage Learning, © 2020) ISBN: 9780357042922 (hardcover) and 9780357746943 (e-book).
Listed reading; requirement unspecified

Winter 2025 · MAST 218

Topics

Parametric curves and polar coordinates
Conic sections
Vectors, dot products and cross products
Lines, planes and quadric surfaces
Vector-valued functions and space curves
Arc length, curvature, velocity and acceleration
Multivariable limits and continuity
Partial derivatives, tangent planes and linear approximation
Chain rule, directional derivatives and gradients
Extrema and Lagrange multipliers

Readings

Listed textbook (requirement not stated): J. Stewart. Multivariable Calculus, 9th edition. Cengage Learning, 2020. ISBN 9780357042922 / 9780357746943.
Listed reading
Supplementary free text and suggested practice problems: OpenStax, Calculus, Volume 3. https://openstax.org/details/books/calculus-volume-3
Listed reading

Winter 2025 · MAST 218

Readings

Multivariable Calculus, 9th Edition by J. Stewart, (Cengage Learning, © 2020) ISBN: 9780357042922 (hardcover) and 9780357746943 (e-book).
Listed reading; requirement unspecified

Winter 2025 · MATH 264

Readings

Multivariable Calculus, 9th Edition by J. Stewart, (Cengage Learning, © 2020) ISBN: 9780357042922 (hardcover) and 9780357746943 (e-book).
Listed reading; requirement unspecified

Fall 2024 · MAST 218

Readings

Multivariable Calculus, 9th Edition by J. Stewart, (Cengage Learning, © 2020) ISBN: 9780357042922 (hardcover) and 9780357746943 (ebook).
Listed reading; requirement unspecified

Winter 2024 · MAST 218

Readings

Multivariable Calculus, 9th Edition by J. Stewart, (Cengage Learning, © 2020) ISBN: 9780357042922 (hardcover) and 9780357746943 (ebook).
Listed reading; requirement unspecified

Fall 2023 · MAST 218

Readings

Multivariable Calculus, 9th Edition by J. Stewart, (Cengage Learning, © 2020) ISBN: 9780357042922 (hardcover) and 9780357746943 (ebook).
Listed reading; requirement unspecified

Winter 2023 · MAST 218

Readings

Multivariable Calculus, 9th Edition by J. Stewart, (Cengage Learning, © 2020) ISBN: 9780357042922 (hardcover) and 9780357746943 (ebook).
Listed reading; requirement unspecified

Fall 2022 · MAST 218

Readings

Multivariable Calculus, 9th Edition by J. Stewart, (Cengage Learning, © 2020) ISBN: 9780357042922 (hardcover) and 9780357746943 (ebook).
Listed reading; requirement unspecified

Winter 2022 · MAST 218

Readings

Multivariable Calculus, 9th Edition by J. Stewart, (Cengage Learning, © 2020) ISBN: 9780357042922 (hardcover) and 9780357746943 (e-book).
Listed reading; requirement unspecified

Winter 2022 · MATH 264

Readings

Multivariable Calculus, 9th Edition by J. Stewart, (Cengage Learning, © 2020) ISBN: 9780357042922 (hardcover) and 9780357746943 (e-book).
Listed reading; requirement unspecified

Fall 2021 · MAST 218

Readings

Multivariable Calculus, 9th Edition by J. Stewart, (Cengage Learning, © 2020) ISBN: 9780357042922 (hardcover) and 9780357746943 (ebook).
Listed reading; requirement unspecified

Sources

Course catalogue ↗2026–2027
Syllabus or course outline ↗Fall 2026
Historical course outline ↗Winter 2026
Historical course outline ↗Fall 2025
Syllabus or course outline ↗Winter 2025
Historical course outline ↗Winter 2025
Historical course outline ↗Winter 2025
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 ↗Winter 2022
Historical course outline ↗Winter 2022
Historical course outline ↗Fall 2021
Fall 2026 outline. Both books appear under “Recommended texts”. 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.
Winter 2025 outline. Course header explicitly lists MAST 218, MATH 264. 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.