MATH 2004: Multivariable Calculus for Engineering or Physics
Multivariable calculus for students in engineering and physical science programs. Covers vector-valued functions, partial differentiation, gradient vectors, directional derivatives, multiple integrals in various coordinate systems, line integrals, surface…
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Common aliases: MATH 2004
Study Resources for Multivariable Calculus for Engineering or Physics
Midterm (Exam 1) 2015
Midterm (Exam 2) 2009
Final Exam 2015
Midterm (Exam 1) 2017
Midterm (Exam 1) 2018
Midterm (Exam 1) 2020
Quiz 1
Quiz 2
Worksheet 6
Assessment Inventory for MATH 2004 (9 Documents)
| Document | Format | Year | Access |
|---|---|---|---|
| Midterm (Exam 1) 2020 | Midterm | 2020 | Illustrative Archive |
| Midterm (Exam 1) 2018 | Midterm | 2018 | Illustrative Archive |
| Midterm (Exam 1) 2017 | Midterm | 2017 | Illustrative Archive |
| Midterm (Exam 1) 2015 | Midterm | 2015 | Illustrative Archive |
| Final Exam 2015 | Final | 2015 | Illustrative Archive |
| Midterm (Exam 2) 2009 | Midterm | 2009 | Illustrative Archive |
| Quiz 1 | Quiz | — | Illustrative Archive |
| Quiz 2 | Quiz | — | Illustrative Archive |
| Worksheet 6 | Worksheet | — | 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.
Course Overview & Exam Syllabus
Course Description
Multivariable calculus for students in engineering and physical science programs. Covers vector-valued functions, partial differentiation, gradient vectors, directional derivatives, multiple integrals in various coordinate systems, line integrals, surface integrals, Green's theorem, and Stokes' theorem.
This archive catalogs 9 free educational resources and past exams for MATH 2004 (Multivariable Calculus for Engineering or Physics) at Carleton University, containing 5 midterm papers, 1 final examination, 2 quizzes, and 1 worksheet. Dated documents represent 5 distinct academic years between 2009 and 2020.
Core Exam Topics & Learning Objectives
- Three-dimensional geometry and vector algebra: dot products, cross products, planes, and parametric curves in MATH 2004
- 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 Multivariable Calculus for Engineering or Physics
Frequently Asked Questions
Which assessment formats are cataloged in this MATH 2004 archive?
This collection for MATH 2004 at Carleton University catalogs 9 total resources across the following formats: Midterms, Finals, Quizzes, 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 2004 collection?
Dated materials in this archive span from 2009 to 2020, representing 5 distinct academic years. Coverage varies by the records currently cataloged for this course.
How can students access these free MATH 2004 past exams?
All cataloged MATH 2004 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 Carleton University course syllabus.