| Week | Dates | Material | Homework(D := due; S :=suggested) |
|---|---|---|---|
| 1 | August 28, August 30 | Introduction, 3D vectors, Dot product, Scalar and vector projections - Sections - 11.1, 11.2 |
11.1:page 656-657: ( D = 12, 19, 26, 32, 38, 42); (S = 1, 3, 5, 13, 20, 21, 23, 25, 33, 45)
11.2:page 664-666: ( D = 7, 8, 12, 21, 22, 31, 32, 35, 36, 37); (S = 13, 14, 15-20, 25, 45) |
| 2 | September 4, September 6 | Cross product, Equations of lines and planes - Sections 11.3, 11.4 |
11.3:page 672-674: ( D = 12, 16, 24, 31 ); (S = 1, 11, 13, 14, 23, 30)
11.4:page 681-682: ( D = 14, 26, 36, 39, 44, 54 ); (S = 5, 11, 15, 19, 23, 27, 31, 47, 56) |
| 3 | September 11, September 13 | Quadric surfaces - Section 11.5, Functions of several variables, Limits and continuity, Partial derivatives - Sections 12.1-12.3 |
11.5:page 687-689 : ( D = 1, 2, 9, 25, 41 ); (S = 7, 12, 13, 17-24, 42)
12.1:page730-732 : ( D = 3, 6, 12, 21, 32, 56 ); (S = 1, 2, 10, 26, 37, 41, 49) 12.2:page 739-740 : ( D = 1, 2, 8, 10, 11, 21, 36, 39, 42 ); (S = 7, 9, 15, 16, 35, 41) |
| 4 | September 18, September 20 | Partial derivatives, Tangent planes and differentials, Chain rule, Directional derivatives - Sections 12.3-12.6 |
12.3:page 746-748: ( D = 6, 9, 15, 36, 57, 66, 71, 75 ); (S = 1, 3, 4, 10, 20, 22, 52, 56, 63, 70, 76, 78)
12.4:page 755-756 : ( D = 2, 4, 12 ); (S = 1, 3, 5, 6, 11, 13, 17) 12.5:page 762-764 : ( D = 5, 12, 18, 20, 24, 30, 39 ); (S = 1, 3, 7, 8, 17, 23, 28, 31, 40-42) |
| 5 | September 25(EXAM 1), September 27 | Directional derivatives, Gradient vectors - Section 12.6 |
12.6:page 772-774 : ( D = 1, 7, 13, 20, 25, 35, 37, 48, 51 ); (S = 4, 8, 16, 18, 22, 36, 40, 45, 49, 50)
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| 6 | October 2 (Quiz-1) , October 4 | Maximum and Minimum values - Section 12.7, Double integrals over rectangles, Iterated integrals, Double integrals over general regions - Sections 13.1-13.3 |
12.7:page 781-783 : ( D = 4, 10, 36, 39 ); (S = 1-3, 5-9, 35, 37, 40, 48)
13.2:page 804-805 : ( D = 8, 20, 25, 26, 27, 30 ); (S = 5, 6, 7, 9, 13, 15-18, 31) |
| 7 | October 9 , October 11 (Quiz-2) | Double integrals over general regions, Polars coordinates, Double integrals in polar coordinates - Sections 13.3-13.5 |
13.3:page 812-813 : ( D = 7, 8, 16, 20, 22, 27 ); (S = 14, 21, 24, 26)
13.4:page 819-821 : ( D = 8, 10, 14, 19, 26, 28, , 34, 39, 45, 51 ); (S = 9, 11, 13, 40, 41, 55, 56) 13.5:page 826-827 : ( D = 1, 3) ); (S = 2, 4) |
| 8 | October 16 , October 18 | Double integrals in polar coordinates, Applications of double integrals, Surface area, Triple integrals - Sections 13.5-13.8 |
13.5:page 826-827 : ( D = 6, 8, 11, 17, 19 ); (S = 15, 18, 23)
13.6:page 832-832 : ( D = 1, 4, 5 ); (S = 7, 8, 9) 13.7:page 834-835 : ( D = 1, 3, 6 ); (S = 2, 4 ) 13.8:page 842-844 : ( D = 2, 4, 7, 8, 10 ); (S = 1, 3, 9) |
| 9 | October 23 , October 25 | Triple integrals, Cylindrical and spherical coordinates, Triple integrals in cylindrical and spherical coordinates - Sections 13.8-13.10 |
13.8:page 842-844 : ( D = 13, 20, 27, 40 ); (S = 19)
13.9:page 848-849 : ( D = 2, 3, 9, 21, 27, 30, 33 ); (S = 1, 8, 15, 16, 22, 26, 35, 43, 45, 49) 13.10:page 853-854 : ( D = 2, 6, 9, 15, 19, 29, 33 ); (S = 5, 8, 11, 14, 35 ) |
| 10 | October 30 (EXAM 2), November 1 | Change of variables in multiple integrals - Section 13.11 |
13.11:page 861-862 : ( D = 4, 6, 7, 10, 13, 15, 17 ); (S = 1, 2, 8, 9, 12 )
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| 11 | November 6, November 8 (Quiz-3) | Vector fields, Line integrals, The fundamental theorem for line integrals - Sections 14.1-14.3 |
14.1:page 872-872 : ( D = 2, 3, 19, 22 ); (S = 7, 8, 17, 18, 20)
14.2:page 882-883 : ( D = 3, 4, 6, 10, 11, 15, 18, 29 ); (S = 1, 5, 7, 9, 12, 13, 16, 19, 30) 14.3:page 891-892 : ( D = 3, 6, 7, 9, 10 ); (S = 1, 2, 5, 8) |
| 12 | November 13, November 15 (Quiz-4) | The fundamental theorem for line integrals, Green's theorem, Curl and divergence - Sections 14.3-14.5 |
14.3:page 891-892 : ( D = 11, 12, 14, 19, 21); (S = 13, 15, 16, 20, 22)
14.4:page 898-899 : ( D = 1, 3, 7, 9, 12, 18, 22, ); (S = 2, 4, 13, 15, 16, 21, 24) 14.5:page 905-906 : ( D = 2, 7, 8, 11, 12, 14, 18, 19 ); (S = 1, 3, 6, 9, 13, 16, 17, 20, 21, 22) |
| 13 | November 20, (November 22: Thanksgiving holiday: No class) | Parametric surfaces and their areas, Surface integrals - Sections 14.6-14.7 |
14.6:page 913-914 : ( D = 5, 6, 7, 16, 17, 20, 21, 23 ); (S = 1, 2, 4, 15, 22, 24, 27, 28(a, b) )
14.7:page 925-926 : ( D = 3, 4, 5, 6, 8 ); (S = 9, 10, 11, 13) |
| 14 | November 27, November 29 | Surface integrals, Stokes' theorem, Divergence theorem - Sections 14.7-14.9 |
14.7:page 925-926 : ( D = 15, 16, 18 ); (S = 19)
14.8:page 931-931 : ( D = 1, 3, 7, 8, 15 ); (S = 2, 6, 9) 14.9:page 936-937 : ( D = 3, 4, 7, 13, 21, 22); (S = 5, 6, 12, 14, 23) |
| 15 | December 4 | Review for Final exam |
No HW
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| 16 | December 10: 1-3 p.m. | FINAL EXAM:: PLEASE, Do not miss your final exam! |
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