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 circle
computation (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 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 zip mp3 integral from table (xlsx)
solutions 19-23 (zip, pdf)
32 5.1 Iterated integrals over rectangles zip mp3 37 49
33 5.2 Iterated integrals over other 2D regions zip mp3 37 49
(See the syllabus for the whole semester schedule.)