Math 20550-01 Spring08

Jan 21: Section 13.3
Homework: Sec. 13.3: 4, 8, 11, 20, 23(a), 24(b), 25, 32, 40, 43.
Jan 23: Section 13.4
Homework: Sec. 13.4: 5, 6, 13, 15, 16, 17, 19, 20, 29, 33, 37.
Jan 25: Section 13.5
Homework: Sec. 13.5: 3, 4, 5, 7, 10, 13, 19, 21, 23, 25, 27.

Week 3:

Jan 28: Section 13.5
Homework: Sec. 13.5: 31, 35, 43, 51, 53, 55, 57, 67, 69, 71.
Jan 30: Section 14.1 Vection functions and Space Curves
Homework: Sec. 14.1: 3, 4, 7, 8, 11, 19-24, 37.

Plot the space curve < sin (t), Cos (t), t > with Mathematica, type ParametricPlot3D[{Sin[t],Cos[t],t},{t,0,4Pi}], then press "shift"+"enter"

Sample Mathematica program to plot curves given by vector functions.

Mathematica program to graph intersection of surfaces y= x^2 and z = 2x.

Feb 01: Section 14.2 Derivatives and Integrals
Homework: Sec. 14.2: 5, 8, 13, 19, 21, 23, 25, 32, 37, 38, 39.

Week 4:

Feb 04: Section 14.3 Arc length & normal & binormal vectors
Homework: Sec. 14.3: 1, 2, 3, 17(a), 18(a), 43, 44, 45.
Feb 06: Section 14.4 Motion in space
Homework: Sec. 14.4: 5, 10, 15, 25, 34, 36.
Feb 08: Section 15.1 Multivariable functions & 15.2 Limits

Sample Mathematica program to plot surfaces and contour maps of 2-variable functions.

Surfaces of functions to find limits.

Homework: Sec. 15.1: 11, 12, 15, 23, 24, 26, 30, 35, 39, 48, 55-60.

Week 5:

Feb 11: Section 15.2 Limits and Continuity
Homework: Sec. 15.2: 10, 13, 14, 18, 21, 24, 29, 32, 38, 39, 40.
Feb 13: Section 15.3 Partial derivatives
Homework (due on Monday): Sec. 15.3: 15, 20, 29, 39, 45, 46, 52, 57, 89.
Feb 14: 1st exam, 138 DeBartolo Hall, 8:00am-9:15am
Feb 15: Section 15.4 Chain Rule
Homework (due on Monday): Sec. 15.4: 5, 6, 9, 11, 13, 14, 17, 21, 29, 31, 32, 39, 47.

Week 6:

Feb 18: Section 15.6 Directional Derivatives & Gradient Vector
Homework: Sec. 15.6: 5, 6, 7, 8, 14, 15, 19, 20, 21, 22, 24.
Feb 20: Section 15.6 Directional Derivatives & Gradient Vector
Homework: Sec. 15.6: 28, 40, 43, 47, 52.
Feb 22: Section 15.7 Max. & Min. Values
Homework: Sec. 15.7: 3, 4, 5, 6, 8, 10, 14.

Week 7:

Feb 25: Section 15.7 Abs. Max. & Min. Values
Homework: Sec. 15.7: 31, 32, 34, 35.
Feb 27: Section 15.7 Abs. Max. & Min. Values & 15.8 Lagrange Multipliers
Homework: Sec. 15.7: 40, 47, 48; Sec. 15.8: 4, 5, 6.
Feb 29: 15.8 Lagrange Multipliers
Homework: Sec. 15.8: 15, 16, 18, 19, 27, 40, 41.

Week 9:

Mar 10: Section 16.1 Double integrals over rectangles
Homework: Sec. 16.1: 11, 12, 13. (Read Example 15.8.3)
Mar 12: Section 16.2: Iterated Integrals
Homework: Sec. 16.2: 3, 8, 9, 16, 20, 28, 30, 31
Mar 14: Section 16.3: Double Integrals Over General Regions
Homework: Sec. 16.3: 3, 4, 11, 14, 16, 19, 20, 22, 26, 31, 39, 43, 45, 48.
Mar 16: Review in HAYE 127, from 3:00pm to 5:00pm.

Solution key to practice exam 2.1 (pdf file)

Week 10:

Mar 17: Section 16.4 Double integrals in poral coords
Homework: Sec. 16.4: 8, 9, 14, 17, 18, 19, 22, 24, 29, 31 (Due on 03/26)
Mar 19: Section 16.5 Moments and Center of Mass
Homework: Sec. 16.5: 3, 5, 6, 10. (Due on 03/26)

Week 11:

Mar 26: Section 16.6 Triple Integrals
Homework: Sec. 16.6: 10, 11, 13, 14, 15, 22, 34, 40, 51

Notes for Triple Integrals in Cylindrical and Spherical Coordinates

Mar 28: Section 16.7 Triple Integrals in Cylindrical Coords.
Homework: Sec. 16.7: 11, 15, 17, 18, 19, 21, 27.

Week 12:

Notes for Change of Variables in Multiple Integrals

Mar 31: Section 16.8 Triple Integrals in Spherical Coords.
Homework: Sec. 16.8: 10, 11, 21, 24, 25, 29(a), 30, 35, 36, 39.
Apr 02: Section 16.9 Change of Variables
Homework: Sec. 16.9: 2, 6, 7, 8, 11, 13, 14, 17(a), 21, 22, 23.

Notes for Vector Fields (Functions) and Line Integrals (part 1)

Notes for Vector Fields (Functions) and Line Integrals (part 2)

Apr 04: Section 17.1 Vector Fields; 17.2 Line Integrals
Homework: Sec. 17.1: 2, 5, 11-14, 15-18, 23, 24, 28; Sec. 17.2: 3, 4, 5, 6, 7, 10, 11, 15, 16.

Week 13:

Apr 07: Section 17.2 Line Integrals of Vector Fields; 17.3: Fundamental Thm for Line Integrals
Homework: Sec. 17.2: 17(a), 19, 20, 40, 41, 43; Sec. 17.3: 11(a), 12, 13, 14, 21.
Apr 09: 17.3: Fundamental Thm for Line Integrals; 17.4: Green's Thm
Homework: Sec. 17.3: 3, 6, 7, 15, 17, 18, 20, 21, 23, 33(a); Sec. 17.4: 1, 2, 7, 8, 9, 10.
Apr 09: 17.4: Green's Thm; 17.5: Divergence and Curl
Homework: Sec. 17.4: 12, 13; Sec. 17.5: 5, 6, 7, 8.

Week 14:

Apr 14: 17.5: Divergence and Curl; 17.6: Parametric Surface
Homework: Sec. 17.5: 14, 15, 20, 21. Sec. 17.6: 11, 12, 13-18.
Mathematica program to graph the parametric surface with parametric eqns x = cos(u), y = sin(u), z = v; 0 <= u <= Pi/2; 0 <= v <= 1.
Type ParametricPlot3D[{Sin[u],Cos[u],v},{u,0,Pi/2}, {v, 0, 1}], then press "shift"+"enter"

Apr 16: 17.6: Parametric Surface
Homework: Sec. 17.6: 19, 20, 21, 22, 23, 29.

Exam III Review: on 4-20-08 from 2 p.m. - 4 p.m in HAYE127
Apr 16: 17.6: Parametric Surface; 17.7 Surface Integrals
Homework: Sec. 17.6: 33, 34, 38, 40, 41, 42; Sec. 17.7: 5, 6, 7, 9, 11.

Week 15:

Apr 21: 17.7 Surface Integrals
Homework: Sec. 17.7: 10, 12, 13, 16, 17, 18 (Due on Fri).
Apr 22: Exam III: 8:00am-9:15am, in 138 DBRT.
Apr 23: 17.7 Surface Integrals
Homework: Sec. 17.7: 19, 20, 21, 22, 26, 28.
Apr 25: 17.8 Stokes' Thm
Homework: Sec. 17.8: 2, 5, 7, 8, 10, 11(a), 13.

Week 16:

Apr 28: 17.9 Divergence Thm
Homework: Sec. 17.9: 5, 7, 9, 11, 13.
Final Exam Review: on 5-3-08 from 2 p.m. - 4 p.m in HAYE127