MATH 221: Vector Calculus
An intermediate course in multivariable and vector calculus. Topics cover functions of several variables, partial derivatives, directional derivatives, gradients, tangent planes, multiple integrals (double and triple integrals), line and surface integrals,…
Independent study archive Learn more
Materials are uploaded by users for self-study purposes. PwnHero is an independent platform, not affiliated with, sponsored by, or endorsed by any university or institution.
Common aliases: MATH 221
Study Resources for Vector Calculus
Midterm (Exam 1) 2016
Midterm (Exam 2) 2010
Final Exam 2020
Midterm (Exam 1) 2017
Midterm (Exam 1) 2018
Midterm (Exam 1) 2019
Midterm (Exam 1) 2020
Worksheet 1
Assessment Inventory for MATH 221 (8 Documents)
| Document | Format | Year | Access |
|---|---|---|---|
| Final Exam 2020 | Final | 2020 | Illustrative Archive |
| Midterm (Exam 1) 2020 | Midterm | 2020 | Illustrative Archive |
| Midterm (Exam 1) 2019 | Midterm | 2019 | Illustrative Archive |
| Midterm (Exam 1) 2018 | Midterm | 2018 | Illustrative Archive |
| Midterm (Exam 1) 2017 | Midterm | 2017 | Illustrative Archive |
| Midterm (Exam 1) 2016 | Midterm | 2016 | Illustrative Archive |
| Midterm (Exam 2) 2010 | Midterm | 2010 | Illustrative Archive |
| Worksheet 1 | Worksheet | — | Illustrative Archive |
Complete inventory of all 8 assessments (sorted by most recent). Select any document to inspect or use the search bar above to filter.
Course Overview & Exam Syllabus
Course Description
An intermediate course in multivariable and vector calculus. Topics cover functions of several variables, partial derivatives, directional derivatives, gradients, tangent planes, multiple integrals (double and triple integrals), line and surface integrals, Green's theorem, Stokes' theorem, and the Divergence theorem.
This archive catalogs 8 free educational resources and past exams for MATH 221 (Vector Calculus) at Queen's University, containing 6 midterm papers, 1 final examination, and 1 worksheet. Dated documents represent 6 distinct academic years between 2010 and 2020.
Core Exam Topics & Learning Objectives
- Three-dimensional geometry and vector algebra: dot products, cross products, planes, and parametric curves in MATH 221
- 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 Vector Calculus
Frequently Asked Questions
Which assessment formats are cataloged in this MATH 221 archive?
This collection for MATH 221 at Queen's University catalogs 8 total resources across the following formats: Midterms, Finals, Worksheets. Each document is listed in the assessment inventory table with its individual format tag and academic year where recorded.
What academic years are covered in this MATH 221 collection?
Dated materials in this archive span from 2010 to 2020, representing 6 distinct academic years. Coverage varies by the records currently cataloged for this course.
How can students access these free MATH 221 past exams?
All cataloged MATH 221 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 Queen's University course syllabus.