### Math 312   Fall 2017   Schedule

Lec. Date Section Topic Quiz
1   8/21     2,3     Rational numbers; fields.   -
2   8/23     2,3     Ordered fields; absolute value.   -
3   8/25     4     Maximum and minimum; supremum and infimum.   -
4   8/28     4     Supremum and infimum. Completeness axiom.   -
5   8/30     4     Archimedean property.     1: Sec. 3,4
6   9/1     4,5     Archimedean property. Infinity.   -
-   9/4     -     Labor Day - No Classes   -
7   9/6     7     Limits of sequences.     2: Sec. 4,5
8   9/8     8     Proofs.   -
9   9/11     9     Limit theorems for sequences.   -
10   9/13     9     Limit theorems for sequences.     3: Sec. 7,8
11   9/15     9     Basic examples.   -
12   9/18     9     Sequences diverging to + or - infinity.     4: Sec. 9
13   9/20     10     Monotone sequences.   -
14   9/22     10     Lim inf and lim sup.   -
15   9/25     10, 11     Cauchy sequences. Subsequences.   -
16   9/27     11     Subsequences.   -
17   9/29         Review.   -
18   10/2         Exam 1       Study guide   pdf     -
19   10/4     14     Series.   -
20   10/6     14     Cauchy criterion, absolute convergence, comparison test.   -
21   10/9     14     Ratio and Root tests.   -
22   10/11     15     Alternating series.    5: Sec. 14
23   10/13         Series:  Problems and T/F questions.   -
24   10/16     17     Continuous functions.    6: Sec. 14,15
25   10/18     17     Continuous functions.   -
26   10/20     17     Continuous functions.   -
27   10/23     18     Properties of continuous functions.    7: Sec. 17
28   10/25     19     Uniform continuity.   -
29   10/27     19,18     Uniform continuity. Intermediate Value Theorem.   -
30   10/30     18, 20     Intermediate Value Theorem. Limits of functions.   -
31   11/1     20     Limits of functions.   -
32   11/3         Review.   -
33   11/6         Exam 2       Study guide   pdf
34   11/8     28     Derivative: definition and examples.   -
35   11/10     28     Properties of the derivative.   -
36   11/13     28     Properties of the derivative.    8: Sec. 28
37   11/15     29     The Mean Value Theorem.   -
38   11/17     29     Increasing and decreasing functions.
Derivative of the inverse function.
-
39   11/27     32     The Riemann Integral:  Darboux construction.     9: Sec. 28,29
40   11/29     32, 33     Integrability.   -
41   12/1     32, 33     Riemann sums. Properties of the integral.   -
42   12/4     33, 34     Properties of the integral. FTC I. 10: Sec. 32
43   12/6     34     FTC I and FTC II. -
44   12/8         Review.   -

Final Exam:  Monday, December 11, 10:10 - noon, in 101 Thomas.   Study guide   pdf