MATH 226g: Calculus III
Multivariable and vector calculus. Topics include 3D space geometry, vectors, dot/cross products, vector-valued functions, functions of several variables, partial derivatives, directional derivatives, gradient vectors, tangent planes, multivariable extrema, Lagrange multipliers, double and triple integrals in Cartesian, polar, cylindrical, and spherical coordinates, vector fields, line integrals, surface integrals, Green's Theorem, Divergence Theorem, and Stokes' Theorem. --- ## Biological Sciences & Chemistry
This archive catalogs 9 free educational resources and past exams for MATH 226g (Calculus III) at University of Southern California (USC), containing 4 midterm papers, 4 final examinations, and 1 quiz. Dated documents represent 4 distinct academic years between 2021 and 2024.
Core Exam Topics & Learning Objectives
- Three-dimensional geometry and vector algebra: dot products, cross products, planes, and parametric curves in MATH 226g
- Partial differentiation: tangent planes, directional derivatives, gradient vectors, and Lagrange multiplier optimization
- Multiple integration: double and triple integrals in Cartesian, cylindrical, and spherical coordinate systems
- Vector calculus theorems: line integrals, conservative fields, Green's Theorem, Stokes' Theorem, and Divergence Theorem in Calculus III
Study Resource for Calculus III
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Midterm (Exam 1) 2021
University of Southern California (USC) MATH 226g Midterm (Exam 1) 2021
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Final Exam 2021
University of Southern California (USC) MATH 226g Final Exam 2021
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Midterm (Exam 1) 2022
University of Southern California (USC) MATH 226g Midterm (Exam 1) 2022
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Final Exam 2022
University of Southern California (USC) MATH 226g Final Exam 2022
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Midterm (Exam 1) 2023
University of Southern California (USC) MATH 226g Midterm (Exam 1) 2023
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Final Exam 2023
University of Southern California (USC) MATH 226g Final Exam 2023
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Midterm (Exam 1) 2024
University of Southern California (USC) MATH 226g Midterm (Exam 1) 2024
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Final Exam 2024
University of Southern California (USC) MATH 226g Final Exam 2024
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Quiz 8
University of Southern California (USC) MATH 226g Quiz 8
Assessment Inventory for MATH 226g (9 Documents)
| Document | Format | Year | Access |
|---|---|---|---|
| Midterm (Exam 1) 2024 | Midterm | 2024 | Illustrative Archive |
| Final Exam 2024 | Final | 2024 | Illustrative Archive |
| Midterm (Exam 1) 2023 | Midterm | 2023 | Illustrative Archive |
| Final Exam 2023 | Final | 2023 | Illustrative Archive |
| Midterm (Exam 1) 2022 | Midterm | 2022 | Illustrative Archive |
| Final Exam 2022 | Final | 2022 | Illustrative Archive |
| Midterm (Exam 1) 2021 | Midterm | 2021 | Illustrative Archive |
| Final Exam 2021 | Final | 2021 | Illustrative Archive |
| Quiz 8 | Quiz | — | Illustrative Archive |
| Complete inventory of all 9 assessments (sorted by most recent). Select any document to inspect or use the search bar above to filter. | |||
Frequently Asked Questions
Which assessment formats are cataloged in this MATH 226g archive?
This collection for MATH 226g at University of Southern California (USC) catalogs 9 total resources across the following formats: Midterms, Finals, Quizzes. Each document is listed in the assessment inventory table below with its individual format tag and academic year where recorded.
What academic years are covered in this MATH 226g collection?
Dated materials in this archive span from 2021 to 2024, representing 4 distinct academic years. Coverage varies by the records currently cataloged for this course.
How can students access these free MATH 226g past exams?
All cataloged MATH 226g past exams and study materials are free to request. The catalog, metadata, assessment inventory, and illustrative thumbnails are public; source documents are not shown on this page. Use the connect options to request a study resource, and confirm current course topics and grading policies with the University of Southern California (USC) course syllabus.