Math 2110 = Math 210 Final Exam Study Guide

1. (2points) 15.8 Cylindrical Coordinates 2. (2 points) 15.9 Spherical Coordinates 3. (3 points) 16.2 Line Integral 4. (3 points) 16.4 Green’s Theorem 5. (3 points) 16.5 Div and Curl 6. (3 points) 16.3 Fundamental Theorem; find potential 7. (3 points) 16.7 Surface Integral 8. (2 points) 12.5 Find a plane 9. (3 points) 12.4 Cross product 10. (2 points) 13.3 Arclength 11. (4 points) 14.2 Limits of f(x,y) 12. (2 points) 14.4 Tangent Plane 13. (3 points) 14.5 Chain Rule 14. (2 points) 14.6 Gradient 15. (2 points) 14.7 Min, Max, Saddles 16. (2 points) 14.8 Lagrange λ 17. (3 points) 15.4 Polar Double Integral 18. (3 points) 16.7 Surface Integral of curl 19. (3 points) 16.8 Stoke’s Thm w/ line integral on boundary The answers of 18 and 19 should agree.