Syllabus
Office hours: MW 1--3, TR 1--5 at LBV 321; email: david.milovich@tamiu.edu
Textbook
Old Exams
Spring 2017 course materials

 Day Readings Topics Photos Audio Other Day's HW due on Day Tested on Day 1 2.1 introduction; vectors zip mp3 7 18 2 2.1 plane vectors zip mp3 7 18 3 2.1-2 unit vectors; 3D vectors zip mp3 7 18 4 2.3 dot products zip mp3 7 18 5 2.3 projections zip mp3 11 18 6 2.4 cross product zip mp3 11 18 7 2.4 determinants, areas, volumes zip mp3 11 18 8 2.5 equations for lines zip mp3 11 18 9 2.5 equations for planes zip mp3 solutions 1-4 (zip, pdf) 15 29 10 2.5 distances to lines, planes zip mp3 15 29 11 2.7 cylindrical coordinates zip mp3 15 29 12 2.7 spherical coordinates zip mp3 solutions 5-8 (zip, pdf) 15 29 13 3.1 3D parametric curves zip mp3 WolframAlpha 21 29 14 3.2-3 unit tangent vector; arc length zip mp3 21 29 15 3.3 curvature; osculating circle zip mp3 3D osculating circle 29 16 3.3 curvature; osculating circle zip mp3 2D osculating circle 21 29 17 3.4 components of acceleration zip mp3 osculating circlecomputation (jpeg) 21 29 19 4.1 functions of several variables zip mp3 hill, bowl, saddle, ??? solutions 9-12 (zip, pdf) 26 40 20 4.2 2D limits zip mp3 x2y/(x^2+y^2) static plot x2y/(x^2+y^2) table of values (xlsx) 2xy/(x2+y2) interactive plot 26 40 21 4.2 2D continuity zip mp3 26 40 22 4.3 partial derivatives zip mp3 solutions 13-17 (zip, pdf) 26 40 23 4.4 differentiability zip mp3 interactive plots: differentiability; non-differentiability 26 40 24 4.5 chain rule zip mp3 40 25 4.5 chain rule zip mp3 32 40 26 4.6 directional derivatives zip mp3 32 40 27 4.6 gradients zip mp3 Q & A for 9-17 (zip) 32 40 28 4.7 local extrema zip mp3 32 40 30 4.7 Lagrange multipliers zip mp3 HW30 (txt) 37 49 31 5.1 double integrals introduction zip mp3 integral from table (xlsx) solutions 19-23 (zip, pdf) 32 5.1 double integrals over rectangles zip mp3 37 49 33 5.2 double integrals over other regions zip mp3 37 49 34 5.2 double integrals over other regions zip mp3 37 49 35 5.3 polar double integrals zip mp3 43 49 36 5.4 triple integrals over boxes zip mp3 43 49 37 5.4 triple integrals over other regions zip mp3 43 49 38 5.5 cylindrical triple integrals zip mp3 solutions 25-28 (pdf) 43 49 39 5.5 spherical triple integrals zip mp3 Q & A for 19-28 (zip) 43 49 41 5.6 more physics applications zip mp3 47 42 5.7 2D coordinate transformations zip mp3 47 43 5.7 2D coordinate transformations zip mp3 solutions 30-34 (pdf) 44 6.1 vector fields introduction zip mp3 solutions 35-39 (pdf) a 2D vector field plot some interactive 3D plots 47 45 6.2 line integrals zip mp3 54 46 6.3 Fund. Thm. of line integrals zip mp3 47 6.3 potential functions zip mp3 Q & A for 30-39 (zip) 54 48 6.4 Green's Theorem zip mp3 54 50 6.4 Green's Theorem zip mp3 54 51 6.5 divergence and curl zip mp3 52 6.6 parametric surface area zip Parametric surface plot solutions 41-42 (pdf) 58 53/54 6.6 flux through a surface zip flux visualization (scroll down) 58 55 6.7 Stokes' Theorem zip mp3 HW55 (txt) 58 56 6.7 Stokes' Theorem zip mp3 57 6.8 Divergence Theorem zip mp3 58 6.8 Divergence Theorem zip mp3 solutions 45-55 (pdf) final Q & A (zip) Final Exam (Dec. 8, 11:30-2:30)
(See the syllabus for the whole semester schedule.)