MAC 2313

  • 1. (12.1), p. 790, #10-15, 29-34, 44.(Rectangular coordinates in 3-space, spheres, cylindrical coordinates )
  • 2. (12.2), p. 801, #7-15, 27-32, 41-44.(Vectors)
  • 3. (12.3), p. 810, #12-16, 26, 27, 35-37. (Dot product, projections) 
  • 4. (12.4), p. 821, #14-19, 21-24.(Cross product)
  • Quiz 1: Wednesday, September 3, 2008. Sections 12.1-12.4
  • 5. (12.5), p. 828, # 3-10, 25-29, 45, 46. (Parametric equations of lines)
  • 6. (12.6), p. 837, #3-9, 13-18, 21-26, 41-43, 46. (Planes in 3-space) 
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  • 01/18/2007; End week #2
  • 7. (12.7), p. 848, #11-16, 37, 42 (see table 12.7.2!) (Quadric Surfaces)
  • 8. (12.8), p. 855, #15-20, 31-36. (Cylindrical and spherical coordinates)
  • 9. (13.1), p. 863, #15-18, 21, 22, 28-32, 37, 38.(Introduction to vector valued functions)
  • 10.(13.2), p. 874, # 19-22, 24-26, 29-34, 40, 41, 44-46. (Calculus of vector-valued functions.) 
  • End of week 3
  • Quiz 2, Wednesday, Sept. 17, 2008. Sections 12.6,12.7, 12.8.
  • 11.(13.3), p. 884, #6-12, 24-28.(Change of parameter; arc length)
  • 12.(13.4), p. 891, # 8-12, 15-17, 19, 20. (Unit tangent, normal and binormal vectors)
  • 13.(13.5), p. 897, #7-15, 28-32, 48-52. (Curvature) 
  • 14.(13.6), p. 911, # 18-22, 26-30, 34-38, 44, 45, 57-61, 63, 64. (Motion along a curve)
  • 15.(13.7), p. 917, (Kepler's laws)
  • End of week #4
  • Exam I: Wednesday, October 1, 2008. Sections 12.1--12.8, 13.1---13.6.
  • Seven problems, 100 pts maximum.
  • End of week #5
  • 16.(14.1), p. 933, # 25-30, 40-44, 46-48 (Functions of two or more variables) 
  • 17.(14.2), p. 944, #7-12, 15-18, 31, 32, 41-43.(Limits and continuity) 
  • 18.(14.3), p. 955, # 3-6, 25-28, 44-46, 55, 56, 79-83.(Partial derivatives )
  • 19.(14.4), p. 966, # 12-18, 23-26, 31-36, 50-52, 56.(Differentiability, differentials and local linearity)  
  • End week #6
  • Quiz 3, Wednesday, October 15, 2008. Sections 14.2,14.3, 14.4.
  • 20.(14.5), p. 975, #23-28, 41-45, 57, 58. (The chain rule) 
  • 21.(14.6), p. 986, #5-14, 20-23, 38-43, 48-52.(Directional derivatives and gradients )
  • 22.(14.7), p. 994, # 4-8, 16, 21-24.(Tangent planes and normal lines)
  • 23.(14.8), p. 1004, # 9-17, 28-36, 42, 43.(Maxima and minima of functions of two variables) 
  • End of week #7
  • 24.(14.9), p. 1014, #7-17 (Lagrange multipliers)
  • 25.(15.1), p.1024, #5-10, 14, 15, 16, 23-26.(Double Integrals)
  • 26.(15.2), p.1032, #1-5, 19-26, 30-34, 39-42, 53, 54.(Double Integrals over Nonrectangular Regions) 
  • End of week #8
  • Quiz 4, 10/29/2008. Sections 14.9,15.1, 15.2.
  • 27.(15.3, p.1041, #24-26, 30-34, 40, 41.(Double Integrals in Polar Coordinates)
  • 28.(15.4), p. 1052, #29-34, 38-41, 44, 45.(Parametric Surfaces; Surface Area) 
  • 29.(15.5), p. 1062, #7-12, 16-18, 25. (Triple Integrals)
  • End of week #9/14
  • Examination II: Wednesday, Nov. 12, 2008. Sections: 14.1--14.9, 15.1--15.5, 15.7, 15.8.
  • Seven problems, 100 points maximum.
  • 30.(15.6), p., # (Centroid, Center of Gravity, Theorem of Pappus)
  • 31.(15.7), p. 1084, #10-12, 14-16, 18-20, 27, 28, 37-40.(Triple Integrals in Cylindrical and Spherical Coordinates)
  • 32.(15.8), p. 1096, #17-20, 25, 31-34.(Change of Variables in Multiple Integrals; Jacobians) 
  • Quiz 5. Wednesday, Nov. 26, 2008. Sections 16.1, 16.2, 16.3, 16.4.
  • 33.(16.1), p. 1110, #15-18.(Vector fields) 
  • 34. (16.2), p. 1126, #15-20, 30, 31, 38-40. (Line Integrals).
  • End of week 10/14.
  • Begin week 12/14
  • 35. (16.3), p. 1137, #3-6, 11-14, 16, 17. (Conservative vector fields).
  • 36. (16.4), p. 1145, #5-10, 27, 28. (Green's Theorem).
  • 37. (16.5), p. 1153, #2-6, 23, 24. (Surface Integrals).
  • 38. (16.6), p. 1163, #9-16. (Applications of Surface Integral, Flux)
  • 39. (16.7), p. 1172, #6-11. (The Divergence Theorem).
  • End week 13/14.
  • 40. (16.8), p. 1179, #8-12. (Stoke's Theorem).
    • Final examination: Monday, December 8. 2008. 1700-1900, GC 287A.(10 problems, Time limit: 120 minutes, maximum of 150 points)