MA 471G Fall 2013 Calendar of Events
Understanding Analysis, Richard
Abbott
MA
471G Calendar
Fall 2013
Text: Understanding Analysis, Richard Abbott
Final
Exam: Tuesday, Dec 17, 8:00 – 10:00 AM
|
Lecture |
Class activity |
Textbook Exercises |
|
Wed, 28-Aug |
1.1:
Irrationality of |
1.2.3,1.2.5,1.2.6,1.2.7,1.2.11 |
|
Fri, 30-Aug |
1.3:
Axiom of completeness |
1.3.4,1.3.5, 1.3.6,1.3.7,1.3.8 |
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Mon, 02-Sept |
LABOR DAY |
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Wed, 04-Sept |
1.4:
Consequences of completeness |
HW 01 DUE |
|
Fri, 06-Sept |
1.5:
Cantor’s Theorem |
1.5.4,1.5.5 |
|
Mon,
09-Sept |
2.1:
Rearrangements of infinite series |
2.2.2,2.2.3,2.2.7 |
|
Wed, 11-Sept |
2.3:
Algebraic and order limit theorems |
HW 02 DUE |
|
Fri, 13-Sept |
2.4:
Monotone Convergence Theorem |
2.4.2,2.4.4,2.4.5,2.4.6 |
|
Mon, 16-Sept |
2.5:
Subsequences and the Bolzano-Weierstrauss Theorem |
2.5.3,2.5.4 |
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Wed, 18-Sept |
2.6: The
Cauchy criterion |
HW 03 DUE |
|
Fri, 20-Sept |
TEST 01 |
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|
Mon, 23-Sept |
2.7:
Properties of infinite series |
2.7.3,2.7.4,2.7.6 |
|
Wed, 25-Sept |
2.8: Convergence
Tests |
HW04 DUE |
|
Fri, 27-Sept |
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|
Mon, 30-Sept |
3.1: The
Cantor Set |
|
|
Wed, 02-Oct |
3.2: Open
and closed sets |
3.2.2,3.2.3,3.2.5,3.2.7,3.2.13 |
|
Fri, 04-Oct |
3.3:
Compact sets |
HW05 DUE |
|
Mon, 07-Oct |
4.1:
Examples of Dirichlet and Thomae |
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|
Wed, 09-Oct |
4.3:
Combinations of continuous functions |
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|
Fri, 11-Oct |
4.4:
Continuous functions on compact sets |
HW06 DUE |
|
Mon, 14-Oct |
4.4: Uniform
Continuity |
|
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Wed, 16-Oct |
Review |
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|
Fri, 18-Oct |
TEST 02 |
HW07 DUE |
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Mon, 21-Oct |
5.1: Are derivatives continuous? |
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Wed, 23-Oct |
5.2: Derivatives and the Intermediate Value
Property |
|
|
Fri, 25-Oct |
5.3: The Mean Value Theorem |
HW08 DUE |
|
Mon, 28-Oct |
5.3: L’Hospital’s
Rules |
|
|
Wed, 30-Oct |
5.4: A continuous, nowhere differentiable
function |
|
|
Fri, 01-Nov |
6.1:
Branching processes |
HW09 DUE |
|
Mon, 04-Nov |
6.2:
Uniform convergence of a sequence of functions |
|
|
Wed, 06-Nov |
REVIEW |
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|
Fri, 08-Nov |
TEST 03 |
HW10 DUE |
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Mon, 11-Nov |
6.3:
Uniform convergence and differentiation |
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Wed, 13-Nov |
6.4:
Series of functions |
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|
Fri, 15-Nov |
6.5:
Power series |
HW11 DUE |
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Mon, 18-Nov |
6.6:
Taylor series |
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Wed, 20-Nov |
7.1: How
should integration be defined? |
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Fri, 22-Nov |
7.2: The
definition of the Riemann integral |
HW12 DUE |
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Mon, 25-Nov |
7.3:
Integrating functions with discontinuities |
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Wed,
27-Nov |
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Fri,
29-Nov |
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Mon,02-Dec |
7.4:
Properties of the Integral |
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Wed, 04-Dec |
7.5: The
Fundamental Theorem of Calculus |
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|
Fri, 06-Dec |
7.6:Lebesgue’s
Criterion for Riemann integrability |
HW13 DUE |
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Mon, 09-Dec |
8.3:
Fourier series |
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Wed, 11-Dec |
8.3:
Fourier series |
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Fri, 13-Dec |
8.3:
Fourier Series |
HW14 DUE |
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Tues, 17-Dec
Final exam:
8:00AM – 10:00AM |
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Monday |
Tuesday |
Wednesday |
Thursday |
Friday |
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August |
28 1.1 &
1.2 |
29 |
30 1.3 |
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September |
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2 Labor Day |
3 |
4 1.4 |
5 |
6 1.5 |
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9 2.1 &
2.2 |
10 |
11 2.3 |
12 |
13 2.4 |
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16 2.5 |
17 |
18 2.6 |
19 |
20 TEST 01 |
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23 2.7 |
24 |
25 2.8 |
26 |
27 3.1 |
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30 3.2 &
3.3 |
October |
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1 |
2 3.3 &
3.4 |
3 |
4 3.4 |
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7 3.5 |
8 |
9 4.1 |
10 |
11 4.2 |
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14 4.3 |
15 |
16 4.4 |
17 |
18 TEST 02 |
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21 4.4 |
22 |
23 4.5 |
24 |
25 4.6 |
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28 5.1 &
5.2 |
29 |
30 5.3 |
31 |
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November |
1 5.4 |
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4 6.1 |
5 |
6 6.2 |
7 |
8 TEST 03 |
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11 6.3 |
12 |
13 6.4 |
14 |
15 6.5 |
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18 6.6 |
19 |
20 7.1 |
21 |
22 7.2 |
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25 7.3 |
26 |
Thanksgiving Break |
28 |
29 |
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December |
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2 7.4 |
3 |
4 7.5 |
5 |
6 7.6 |
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9 8.3 |
10 |
11 8.3 |
12 |
13 8.3 |
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16 |
17 FINAL EXAM |
18 |
19 |
20 |
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