Math 224 (Advanced Multivariable Calculus) past exams
7 archived Math 224 midterms and finals with answer keys, and 70 individual practice problems tagged by topic.
Math 224 topics, most tested first
- Double Integrals — 30 past questions
- Parametric Surfaces & Surface Integrals — 13 past questions
- Vector Fields & Line Integrals — 12 past questions
- Curl and Divergence — 5 past questions
- Chain Rule, Directional Derivatives & Gradient — 4 past questions
- Stokes' and Divergence Theorems — 4 past questions
- Triple Integrals — 2 past questions
Math 224 Midterm 2 exams
- Spring 1997 (Math 324: Test 2 (Section A), John M. Lee) — Exam PDF · Answer key Vector Fields & Line Integrals, Curl and Divergence, Chain Rule, Directional Derivatives & Gradient
- Spring 1997 (Math 324: Test 2 (Section B), John M. Lee) — Exam PDF · Answer key Vector Fields & Line Integrals, Curl and Divergence, Chain Rule, Directional Derivatives & Gradient
- Spring 1997 (Math 324: Test 3 (Sections A and B), John M. Lee) — Exam PDF · Answer key Vector Fields & Line Integrals, Curl and Divergence
- Spring 1997 (Math 324: Test 4 (Section A), John M. Lee) — Exam PDF · Answer key Parametric Surfaces & Surface Integrals
- Spring 1997 (Math 324: Test 4 (Section B), John M. Lee) — Exam PDF · Answer key Parametric Surfaces & Surface Integrals
Math 224 Final exams
- Spring 1997 (Math 324: Final (Section A), John M. Lee) — Exam PDF · Answer key Vector Fields & Line Integrals, Stokes' and Divergence Theorems, Chain Rule, Directional Derivatives & Gradient, Triple Integrals, Curl and Divergence, Parametric Surfaces & Surface Integrals
- Spring 1997 (Math 324: Final (Section B), John M. Lee) — Exam PDF · Answer key Chain Rule, Directional Derivatives & Gradient, Parametric Surfaces & Surface Integrals, Triple Integrals, Stokes' and Divergence Theorems, Curl and Divergence, Vector Fields & Line Integrals