## Mathematics 450 - Fall 2016

Calendar

August
Monday Tuesday Wednesday Thursday Friday
22 23 24
Chapter 1
Problems
Review of Sets
25 26
Sections 2.1 and 2.2
Problems
The Real Numbers I
29
Sections 2.2 and 2.3
Problems
The Real Numbers II
30 31
Sections 2.3 and 2.4
Problems
The Real Numbers III
September
Monday Tuesday Wednesday Thursday Friday
1 2
Section 3.1
Problems
Metric Spaces
Problem Set # 1
5
Labor Day
6 7
Section 3.2
Problems
Open Sets
8 9
Section 3.3
Problems
Convergent Sequences
Problem Set # 2
12
Section 3.3
Problems
Sequences of Real Numbers
13 14
Section 3.4
Problems
Complete Metric Spaces
15 16
Section 3.5
Problems
Compact Spaces
Problem Set # 3
19
Section 3.5
Problems
The Heine-Borel Theorem
20 21
Sections 3.6 and 4.1
Problems
Connectedness and Continuity
22 23
Sections 4.1 and 4.2
Problems
Continuity and Limits
Problem Set # 4
26
Section 4.3
Problems
Real-valued Continuous Functions
27 28
Section 4.4
Problems
Continuous Functions on Compact Spaces
29 30
Section 4.5
Problems
Continuous Functions on Connected Spaces
Problem Set # 5
October
Monday Tuesday Wednesday Thursday Friday
3
Section 4.6
Problems
Sequences of Functions
4 5
Section 4.6
Problems
The Metric Space C(E)
6 7
Section 5.1
Problems
The Derivative
Problem Set # 6
10
Section 5.2
Rules of Differentiation
11
Middle of the term
12
Section 5.3
Problems
The Mean Value Theorem
13 14
Section 5.4
Problems
Taylor's Theorem
17
Fall break
18
Fall break
19
Section 6.1
Problems
The Riemann Integral
20 21
Problem Set # 7
Section 6.2
Properties of the Riemann Integral
24
Section 6.3
Problems
Integrability Conditions
25 26
Section 6.4
Problems
27 28
Section 6.5
Problems
The Fundamental Theorem of Calculus
Problem Set # 8
31
Section 6.6
Problems
The Logarithmic and Exponential Functions
November
Monday Tuesday Wednesday Thursday Friday
1 2
Section 6.6
Problems
Properties of Exponential Functions
3 4
Section 7.1
Problems
Interchange of Limit Operations
Problem Set # 9
7
Section 7.2
Problems
Infinite Series
8 9
Section 7.2
Problems
Tests for Convergence
10 11
Section 7.2
Problems
Rearrangements
Problem Set # 10
14
Section 7.3
Problems
Series of Functions
15 16
Section 7.3
Problems
Operations on Power Series
17 18
Section 7.3
Problems
Taylor Series
Problem Set # 11
21
Section 7.4
Problems
Trigonometric Functions
22 23
Thanksgiving
24
Thanksgiving
25
Thanksgiving
28
Sections 7.5 - 8.1
Problems
Two Theorems
29 30
Section 8.3
Differential Equations
December
Monday Tuesday Wednesday Thursday Friday
1 2
Section 8.3
Differential Equations (cont'd)
Problem Set # 12
5
Last day of class
6 7 8 9
12 13 14 15 16