MATH V2500: Analysis And Optimization
Course exam catalog and study material archive for Analysis And Optimization at Columbia University (Columbia). Request verified past exam papers and study resources directly through our student community.
Course Description
**Prerequisites:** MATH UN1102 and MATH UN1201 or the equivalent and MATH UN2010. Mathematical methods for economics. Quadratic forms, Hessian, implicit functions. Convex sets, convex functions. Optimization, constrained optimization, Kuhn-Tucker conditions. Elements of the calculus of variations and optimal control. (SC)
This archive catalogs 6 free educational resources and past exams for MATH V2500 (Analysis And Optimization) at Columbia University (Columbia), containing 1 midterm paper, 4 final examinations, and 1 study guide. Dated documents represent 4 distinct academic years between 2019 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 V2500
- 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 Analysis And Optimization
Study Resource for Analysis And Optimization
Study Resource
Final Exam 2019
Columbia University (Columbia) MATH V2500 Final Exam 2019
Study Resource
Midterm (Exam 1) 2020
Columbia University (Columbia) MATH V2500 Midterm (Exam 1) 2020
Study Resource
Final Exam 2020
Columbia University (Columbia) MATH V2500 Final Exam 2020
Study Resource
Final Exam 2022
Columbia University (Columbia) MATH V2500 Final Exam 2022
Study Resource
Final Exam 2023
Columbia University (Columbia) MATH V2500 Final Exam 2023
Study Resource
Study Guide 10
Columbia University (Columbia) MATH V2500 Study Guide 10
Assessment Inventory for MATH V2500 (6 Documents)
| Document | Format | Year | Access |
|---|---|---|---|
| Final Exam 2023 | Final | 2023 | Illustrative Archive |
| Final Exam 2022 | Final | 2022 | Illustrative Archive |
| Midterm (Exam 1) 2020 | Midterm | 2020 | Illustrative Archive |
| Final Exam 2020 | Final | 2020 | Illustrative Archive |
| Final Exam 2019 | Final | 2019 | Illustrative Archive |
| Study Guide 10 | Study Guide | — | Illustrative Archive |
| Complete inventory of all 6 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 V2500 archive?
This collection for MATH V2500 at Columbia University (Columbia) catalogs 6 total resources across the following formats: Midterms, Finals, Study Guides. 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 V2500 collection?
Dated materials in this archive span from 2019 to 2023, representing 4 distinct academic years. Coverage varies by the records currently cataloged for this course.
How can students access these free MATH V2500 past exams?
All cataloged MATH V2500 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 Columbia University (Columbia) course syllabus.