MAC 2312

  • 1. (6.4), p. 383, #23-26, 31-34.(The definition of area as limit; Sigma notation)
  • 2. (6.5), p. 393, #5-8, 12-16. (The definite integral)
  • 3. (6.6), p. 406, #3-8, 15-20, 30-32, 45-48, 53, 54, 55, 56.(The fundamental Theorem of Calculus) 
  • 4. (6.7), p. 416, #5-10, 14-17, 30-34, 41-44.(Rectilinear motion
  • 5. (6.8), p. 422, #7-14, 39-44, 51, 52, 53. (Evaluating definite integrals by substitution)
  • Quiz 1: 09-04-2009. Sections:6.4--6.9, 7.1, 7.2. Two (2) problems, maximum time: 20 minutes.
  • 6. (6.9), p. 434, #15-18, 31-34. (Logarithmic functions from the integral point of view)
  • 7. (7.1) p. 448, # 5-12, 31-33. (Area between two curves).
  • 8. (7.2) p. 456, #3-13, 17, 18, 20--25, 35-40. (Volumes by slicing; Disks and washers).
  • 9. (7.3), p. 464, #3-9, 14-16, 23-26. (Volumes by cylindrical shells).
  • 10. (7.4), p. 469, #5-13. (Length of a plane curve).
  • 11. (7.5), p. 474, #3-8. (Area of a surface of revolution)
  • 12. (7.7), p. 488, #10-15, 21-23. (Work).
  • (7.8), p. 495, #5-10. (Fluid pressure and force).
  • Quiz 2. September 18, 2009. Sections 7.3--7.7, 8.2, 8.3.
  • Examination 1: October 2, 2009. sections 6.4--6.9, 7.1--7.7, 8.2--8.8. Four (4) problems for a maximum score of 100 points. 50 minutes maximum time.
  • 13. (8.2), p. 520, #7-15, 18-23, 35-40, 50-53. (Integration by parts)
  • 14. (8.3), p. 528, #15-30, 55-58.(Trigonometric integrals)
  • 15. (8.4) p. 535, #10-20, 29-32, 39-41 (Trigonometric substitutions (including quadratic polynomials))
  • 16. (8.5) p. 543, #9-19, 21-25, 29, 30 (Integrating rational functions by partial fractions)
  • Quiz 3, 10/16/2009. Sections 10.1 ---10.4.
  • 17. (8.7) p. 566. #1-5, 8-12, 23, 24, 39.(Numerical Integration; Simpson rule)
  • 18. (8.8) p. 576, #10-15, 17-21, 32, 34.(Improper integrals)
  • 19. (10.1) p. 633, #8-12, 27-30.(Sequences)
  • 20. (10.2) p. 641, #10-16, 29. (Monotone sequences)
  • 21. (10.3) p. 649, #5-12, 27, 28. (Infinite series)
  • 22. (10.4) p. 657, #5-8, 18-22, 35.(Convergence tests)
  • 23. (10.5) p. 664, #4-12, 25-35.(The Comparison, ratio and roots tests)
  • 24. (10.6) p. 673, #4-11, 19-24, 32, 34, 36, 37. (Alternating series; conditional convergence)
  • 25. (10.7) p. 684, #10-19. (McLaurin and Taylor polynomials)
  • Quiz 4. Friday, October 30, 2009. Sections 10.5---10.7.
  • 26. (10.8) p. 692, #5-15, 20-23, 31-36. (McLaurin and Taylor series; Power series)
  • Exam II: Friday, November 13, 2009. Sections 10.1--10.8
  • Quiz 5: Wednesday, November 25, 2009. sections 10.9, 10.10, 11.1 and 11.2.
  • 27. (10.9) p. 702, #5-8, 21. (Convergence of Taylor series)
  • 28. (10.10) p. 712, #30-32, 35-37. (Differentiating and integrating power series; modeling with Taylor series)
  • 28. (11.1) p. 728, # 10, 12, 24-28, 40-45. (Polar coordinates)
  • 29. (11.2) p. 736, #6-12, 21-24, 40-44, 49, 50, 51. (Tangent lines and arc length for parametric and polar curves)
  • 30. (11.3) p. 744, #14-19, 25-27. (Area in polar coordinates)
  • Final exam: Friday, 12/11/2009, 945-1145: GC 285. Time limit: 120 minutes, 8 problems for a maximum score of 150 points.)