MATH 32A: Calculus of Several Variables
Introduction to differential calculus of several variables, vector field theory.
This archive catalogs 13 free educational resources and past exams for MATH 32A (Calculus of Several Variables) at University of California Los Angeles (UCLA), containing 5 midterm papers, 7 final examinations, and 1 worksheet. Dated documents represent 7 distinct academic years between 2017 and 2023.
Core Exam Topics & Learning Objectives
- Limits and continuity: formal epsilon-delta definitions, one-sided limits, and indeterminate forms via L'Hôpital's Rule in MATH 32A
- Differential calculus techniques: product, quotient, chain rules, and implicit differentiation
- Applications of derivatives: critical points, extreme value theorem, concavity, inflection points, and curve sketching
- Applied optimization and related rates: geometric rate modeling, profit maximization, and Mean Value Theorem in Calculus of Several Variables
Study Resource for Calculus of Several Variables
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Final Exam 2017
University of California Los Angeles (UCLA) MATH 32A Final Exam 2017
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Midterm (Exam 1) 2018
University of California Los Angeles (UCLA) MATH 32A Midterm (Exam 1) 2018
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Final Exam 2018
University of California Los Angeles (UCLA) MATH 32A Final Exam 2018
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Final Exam 2019
University of California Los Angeles (UCLA) MATH 32A Final Exam 2019
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Midterm (Exam 1) 2020
University of California Los Angeles (UCLA) MATH 32A Midterm (Exam 1) 2020
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Final Exam 2020
University of California Los Angeles (UCLA) MATH 32A Final Exam 2020
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Midterm (Exam 1) 2021
University of California Los Angeles (UCLA) MATH 32A Midterm (Exam 1) 2021
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Final Exam 2021
University of California Los Angeles (UCLA) MATH 32A Final Exam 2021
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Midterm (Exam 1) 2022
University of California Los Angeles (UCLA) MATH 32A Midterm (Exam 1) 2022
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Final Exam 2022
University of California Los Angeles (UCLA) MATH 32A Final Exam 2022
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Midterm (Exam 1) 2023
University of California Los Angeles (UCLA) MATH 32A Midterm (Exam 1) 2023
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Final Exam 2023
University of California Los Angeles (UCLA) MATH 32A Final Exam 2023
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Worksheet 4
University of California Los Angeles (UCLA) MATH 32A Worksheet 4
Assessment Inventory for MATH 32A (13 Documents)
| Document | Format | Year | Access |
|---|---|---|---|
| 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 |
| Midterm (Exam 1) 2020 | Midterm | 2020 | Illustrative Archive |
| Final Exam 2020 | Final | 2020 | Illustrative Archive |
| Final Exam 2019 | Final | 2019 | Illustrative Archive |
| Midterm (Exam 1) 2018 | Midterm | 2018 | Illustrative Archive |
| Final Exam 2018 | Final | 2018 | Illustrative Archive |
| Final Exam 2017 | Final | 2017 | Illustrative Archive |
| Worksheet 4 | Worksheet | — | Illustrative Archive |
| Complete inventory of all 13 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 32A archive?
This collection for MATH 32A at University of California Los Angeles (UCLA) catalogs 13 total resources across the following formats: Midterms, Finals, Worksheets. 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 32A collection?
Dated materials in this archive span from 2017 to 2023, representing 7 distinct academic years. Coverage varies by the records currently cataloged for this course.
How can students access these free MATH 32A past exams?
All cataloged MATH 32A 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 California Los Angeles (UCLA) course syllabus.