Day Readings Topics Photos Audio Other Day's HW due on Day Tested on Day 1 2.1 plane vectors zip mp3 7 15 2 2.1 plane vectors zip mp3 7 15 3 2.1-2 unit vectors; 3D plotting zip mp3 7 15 4 2.2 3D vectors zip mp3 7 15 5 2.3 dot products zip 11 15 6 2.3 projections zip mp3 11 15 7 2.4 cross products zip mp3 html (parallelepiped) 11 15 8 2.5 lines in space zip mp3 11 15 9 2.5 planes in space zip mp3 zip (solutions 1-4) 17 25 10 2.6 quadric surfaces zip mp3 17 25 11 2.7 cylindrical coordinates zip mp3 jpeg (more θ formulas) 17 25 12 2.7 spherical coordinates zip mp3 zip (solutions 5-8) 17 25 13 3.1 space curves zip mp3 html (curves) html (3D plotter) 17 25 14 3.2,4 changing speed zip mp3 21 25 15 test 1-8 16 3.2,3 turning: unit tangent; curvature zip mp3 html (osculating circle) 21 25 17 3.3,4 turning: unit normal, binormal zip mp3 html (osculating plane) 21 25 18 3.3 travel distance (arc length) zip mp3 21 25 19 4.1 sketching z=f(x,y) zip mp3 28 36 20 4.2 discontinuity zip mp3 xlsx (table) html (graph) 28 36 21 4.2 continuity zip mp3 xlsx (table) 28 36 22 4.3 partial derivatives zip mp3 zip (solutions 9-13) 28 36 23 4.4 differentiability zip mp3 html (tangent plane) html (no tangent plane) jpeg (definition) zip (solutions 14-18) 28 36 24 4.5 chain rule zip mp3 html (polar Laplacian) 32 36 25 test 9-18 26 4.5 chain rule zip mp3 zip (notes; proofs) 32 36 27 4.6 gradients zip mp3 32 36 28 4.7 local extrema zip mp3 zip (discriminant proof) 32 36 29 4.7-8 optimization zip mp3 32 36 30 4.8 Lagrange multipliers zip mp3 html (cubic example) zip (cone to line example) 53 31 5.1 numerical double integrals zip mp3 xlsx (π/6 estimate) zip (solutions 19-23) 39 53 32 5.1 iterated double integrals zip mp3 39 53 33 5.2 non-rectangular double integrals zip mp3(incomplete) 39 53 34 5.2 non-rectangular double integrals zip 39 53 35 5.3 polar double integrals zip mp3 zip (solutions 24-29) 43 53 36 test 19-29 37 5.4 triple integrals:rectangular domains zip mp3 43 53 38 5.4 triple integrals:non-rectangular domains zip mp3 43 53 39 5.5 triple integrals:cylindrical coordinates zip mp3 43 53 40 5.5 triple integrals:spherical coordinates zip mp3 43 53 41 5.6 mass and moment of inertia zip mp3 48 53 42 5.7 2D coordinate transformations zip mp3 48 53 43 5.7 2D coordinate transformations zip mp3 48 53 44 6.1 2D vector fields zip mp3 zip (solutions 31-40) 48 53 45 6.1 2D, 3D vector fields zip txt (SageMath vector plot commands) 48 53 46 6.2 scalar line integrals zip mp3 55 47 6.2 vector line integrals zip mp3 55 48 6.3 fundamental theorem of line integrals zip mp3 55 49 6.3 potential functions zip mp3 55 50 6.4 Green's Theorem zip 55 51 6.4 Green's Theorem zip mp3 zip (solutions 41-45) 58 52 6.5 div and curl zip mp3 53 test 30-45 54 6.6 Parametric surfaces' areas zip mp3 pdf (HW54) 58 55 6.6 flux integrals zip mp3 58 56 6.7 Stokes' Theorem zip mp3 58 57 6.8 Gauss' Theorem zip mp3 58 review zip zip (solutions 46-56) Final Exam: Dec. 9, 11:30-2:30

Old exams:
Spring 2013: 1 2 3 4 5 6 7 Final
Spring 2014: 1 2 3 4 Final
Spring 2016: 1 2 3 4 5 Final