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Math 1220, Fall 2017

Lecture Schedule:

Prelim is in class and this date is firm. The rest is tentative.
Reading: Please take 10 or 20 minutes before each lecture to read the sections of the book which will be covered. It helps a great deal to be familiar with the terminology that will be used and the theorems that will be established.


  Date   Lecture Material   Homework Problems
  Week 1    
    8/22   The real numbers ~1.1, 1.2 Hand in: extra_8/31. Look at: 1.2, 1.13, 1.20, 1.24. Due in Lecture 8/31. 
    8/24   1.3 Sequences and limits Hand in: 1.6abc, 1.16, 1.18, 1.32, 1.33.  Look at: 1.35. Due in Lecture 8/31. 
  Week 2    
    8/29   1.3b Sequences Read Definition 1.8 and Example 1.27. Hand in: 1.51, 1.52.  Due in Lecture 9/14.
    8/31   1.3c,d  Cauchy sequences, 1.3b Series Read Definition 1.6 and Theorems 1.12, 1.13. Hand in: 1.37, 1.38, 1.42, 1.43, and extra_9/14. Due in Lecture 9/14.
  Week 3    
    9/5   1.3d Cauchy sequences+a model of the real numbers, 1.3b Series Read Theorems 1.14, 1.15, 1.16, 1.17, 1.18, and Definition 1.7. Hand in: 1.47 and extra_9/19 (updated 9/7). Look at: 1.41. Due in Lecture 9/19.
    9/7   2.1 Functions, 2.2 Continuity Read Definitions 2.1, 2.4 and the alternative definition on p.61, and sections 2.1a, 2.1b. Hand in: 2.1, 2.3, 2.8, 2.11, and extra_9/19 (updated 9/7). Look at: 2.6. Due in Lecture 9/19.
  Week 4    
    9/12   2.2, 2.3 Read Definitions 2.8 and 2.9, and Theorem 2.9. Hand in: 2.10, 2.14, 2.16, 2.26, 2.28, 2.32. Look at: 2.12, 2.13, 2.18, 2.19, 2.20, 2.31. Due in Section 9/25. (Updated 9/17).
    9/14   2.4, 2.5 Hand in: 2.38, 2.40. Look at: 2.39, 2.55, 2.57. Due in Section 9/25. (Updated 9/17).
  Week 5    
    9/19   2.6a Sequences of functions Hand in: 2.62. Look at: 2.59. Due in Section 10/2.
    9/21   In class Prelim through 2.5   NO HW TODAY!
  Week 6    
    9/26   2.6b, 3.1 Differentiation Read 3.1, until (including) p. 124. Hand in: 2.66, 2.68, 2.70 a,b,c, 3.10, 3.14. Look at: September 26-Radius of Convergence Worksheet, 2.67, 3.1, 3.3, 3.11, 3.15. Due in Lecture 10/5.
    9/28   3.1, 3.2 Hand in: 3.34 and extra_10/5. Look at: 3.23, 3.29. Due in Lecture 10/5.
  Week 7    
    10/3   3.2, 3.3 Read 1.4 and 3.2c. Hand in: 3.36 b,d,e, 3.40, 3.42b and extra_10/19. Look at: 3.35,3.47,3.51. Due in Lecture 10/19.
    10/5   3.4, 3.5 Hand in: 3.54b,d,e, 3.70. Look at: 3.55,3.59,3.73. Due in Lecture 10/19.
  Week 8    
    10/10   Fall break  
    10/12   4.1 Differentiable Functions Read 4.1a. Hand in: 4.2, 4.4, 4.8, 4.18ab, 4.22, 4.24b. Look at: 4.17, 4.23. Due in Lecture 10/23.
  Week 9    
    10/17   4.2 Read 4.2ab. Hand in: 4.26, 4.34, 4.36, and extra_10/30a.pdf. Look at: 4.33, 4.35. Due in Section 10/30.
    10/19   4.3 Read Theorem 4.11 and the first example (the sine) in 4.3a. Hand in: 4.44, 4.52, 4.56, and extra_10/30b.pdf. Look at: 4.49, 4.51, 4.57. Due in Section 10/30.
  Week 10    
    10/24   4.3  
    10/26   6.1, 6.2 Integration Hand in: 6.4, 6.6d, 6.8, 6.14. Look at 6.3, 6.6abc. Due in Section 11/6.
  Week 11    
    10/31   6.2 Hand in: 6.10, 6.12. Look at: 6.11,6.13. Due in Section 11/13.
    11/2   6.3 Hand in: 6.16bde, 6.20, and extra_11/6.pdf. Look at: 6.15, 6.17, 6.18, 6.23. Due in Section 11/13.
  Week 12    
    11/7   7.1, Methods for integration Hand in: 7.2, 7.4, 7.6, 7.8, 7.10.  Look at: 7.1, 7.9, 7.11. Due in Section 11/20.
    11/9   7.2 Hand in: 7.12, 7.14, 7.16, and extra_11/20.pdf. Look at: 7.13, 7.15, 7.17. Due in Section 11/20.
  Week 13    
    11/14   7.3 Hand in: 7.20, 7.21. Look at: 7.19. Due in Section 11/27.
    11/16   7.3 Hand in: 7.22, 7.25, 7.26, 7.27 and extra_11/16.pdf. Look at: 7.24, 7.28, 7.29. Due in Section 11/27.
  Week 14    
    11/21   7.4, 9.1 Complex numbers Hand in: 7.38, 7.40. Look at: 7.39. Due in Lecture 11/30.
    11/23   No class - Thanksgiving  
  Week 15    
    11/28   9.2 Complex functions Hand in: 9.4, 9.12, 9.17, 9.22, 9.27. Look at: 9.7, 9.9, 9.16, 9.19. Due in Lecture 11/30.
    11/30   Review for final