| Day |
Date |
Chapter |
Description |
| Mon. |
Aug. 20 |
Logical Connectives (Lay 1) |
|
| Tues. |
Aug. 21 |
Quantifiers (Lay 2) |
|
| Wed. |
Aug. 22 |
Techniques of Proof I (Lay 3) |
|
| Fri. |
Aug. 24 |
Techniques of Proof II (Lay 4) |
Quiz 1, HW 1 Due |
| Mon. |
Aug. 27 |
Basic Set Operations (Lay 5, Taylor 1.1) Handout 1 |
|
| Tues. |
Aug. 28 |
Problem Session and Relations (Lay 6) |
HW 2 Due |
| Wed. |
Aug. 29 |
Relations and Functions (Lay 6, 7, Taylor 1.1) |
|
| Fri. |
Aug. 31 |
Functions (Lay 7) |
Quiz 2, HW 3 Due |
| Mon. |
Sept. 3 |
No Class |
Labor Day |
| Tues. |
Sept. 4 |
Problem Session |
HW 4 Due |
| Wed. |
Sept. 5 |
Functions and Cardinality (Lay 7, 8) |
|
| Fri. |
Sept. 7 |
Cardinality (Lay 8) |
Quiz 3, HW 5 Due |
| Mon. |
Sept. 10 |
Natural Numbers and Induction (Lay 10, Taylor 1.2) |
|
| Tues. |
Sept. 11 |
Problem Session |
HW 6 Due |
| Wed. |
Sept. 12 |
Ordered Fields (Lay 11, Taylor 1.3) |
|
| Fri. |
Sept. 14 |
The Completeness Axiom (Lay 12, Taylor 1.4) |
Quiz 4, HW 7 Due |
| Mon. |
Sept. 17 |
The Completeness Axiom (Lay 12, Taylor 1.4) |
|
| Tues. |
Sept. 18 |
Problem Session |
HW 8 Due |
| Wed. |
Sept. 19 |
Topology of the Reals (Lay 13) |
|
| Fri. |
Sept. 21 |
Topology of the Reals and Compact Sets (Lay 13, 14) |
Quiz 5, HW 9 Due |
| Mon. |
Sept. 24 |
Compact Sets (Lay 14)The Cantor Set |
|
| Tues. |
Sept. 25 |
Problem Session and Review |
HW 10 Due |
| Wed. |
Sept. 26 |
Exam 1 |
|
| Fri. |
Sept. 28 |
Sequences (Lay 16, Taylor 2.1-2.2) |
Quiz 6, HW 11 Due |
| Mon. |
Oct. 1 |
Sequences and Limit Theorems (Lay 16, 17, Taylor 2.1-2.3) |
|
| Tues. |
Oct. 2 |
Problem Session |
|
| Wed. |
Oct. 3 |
Limit Theorems (Lay 17, Taylor 2.3) |
HW 12 Due |
| Fri. |
Oct. 5 |
Monotone and Cauchy Sequences (Lay 18, Taylor 2.4-2.5) |
Quiz 7 |
| Mon. |
Oct. 8 |
No Classes |
Fall Break |
| Tues. |
Oct. 9 |
No Classes |
Fall Break |
| Wed. |
Oct. 10 |
No Classes |
Fall Break |
| Fri. |
Oct. 12 |
No Classes |
Fall Break |
| Mon. |
Oct. 15 |
Subsequences (Lay 19) |
|
| Tues. |
Oct. 16 |
Problem Session |
HW 13 Due |
| Wed. |
Oct. 17 |
Limits of Functions (Lay 20, Taylor 4.1) |
|
| Fri. |
Oct. 19 |
Continuous Functions (Lay 21, Taylor 3.1) |
Quiz 8, HW 14 Due |
| Mon. |
Oct. 22 |
Properties of Continuous
Functions (Lay 22, Taylor 3.2) |
|
| Tues. |
Oct. 23 |
Problem Session |
HW 15 Due |
| Wed. |
Oct. 24 |
Properties of Continuous
Functions, Uniform Continuity (Lay 22, 23, Taylor 3.2, 3.3) |
|
| Fri. |
Oct. 26 |
Uniform Continuity, Review (Lay 23, Taylor 3.3) |
Quiz 9, HW 16 Due |
| Mon. |
Oct. 29 |
Exam 2 |
|
| Tues. |
Oct. 30 |
The Derivative (Lay 25, Taylor 4.2) |
HW 17 Due |
| Wed. |
Oct. 31 |
The Derivative and The Mean Value
Theorem (Lay 25, 26, Taylor 4.2-4.3) |
|
| Fri. |
Nov. 2 |
The Mean Value Theorem (Lay 26, Taylor 4.3) |
Quiz 10, HW 18 Due |
| Mon. |
Nov. 5 |
L'Hospital' Rule (Lay 26, 27, Taylor 4.3-4.4) |
|
| Tues. |
Nov. 6 |
Problem Session |
HW 19 Due |
| Wed. |
Nov. 7 |
Taylor's Theorem (Lay 28, Taylor 6.5) |
|
| Fri. |
Nov. 9 |
The Riemann Integral (Lay 29, Taylor 5.1) |
Quiz 11, HW 20 Due |
| Mon. |
Nov. 12 |
The Riemann Integral and Properties
of the Riemann Integral (Lay 29,
30, Taylor 5.1, 5.2) |
|
| Tues. |
Nov. 13 |
Problem Session and Properties of the Riemann Integral |
|
| Wed. |
Nov. 14 |
The Fundamental Theorem of Calculus (Lay 31, Taylor 5.3) |
|
| Fri. |
Nov. 16 |
Problem Session/Review |
HW 21 Due and HW 22 Due |
| Mon. |
Nov. 19 |
Exam 3 |
|
| Tues. |
Nov. 20 |
Convergence of Infinite Series (Lay 32, Taylor 6.1) |
HW 23 Due |
| Wed. |
Nov. 21 |
Convergence Tests (Lay 33, Taylor 6.2) |
|
| Fri. |
Nov. 23 |
No Classes |
Thanksgiving Holiday |
| Mon. |
Nov. 26 |
Absolute and Conditional Convergence (Lay 34, Taylor 6.3) |
|
| Tues. |
Nov. 27 |
Problem Session |
HW 24 Due |
| Wed. |
Nov. 28 |
Power Series (Lay 35, Taylor 6.4) |
|
| Fri. |
Nov. 30 |
Pointwise and Uniform Convergence (Lay 36, Taylor 3.4) |
Quiz 12, HW 25 Due |
| Mon. |
Dec. 3 |
Applications of Uniform Convergence (Lay 37) |
|
| Tues. |
Dec. 4 |
Problem Session |
HW 26 Due |
| Wed. |
Dec. 5 |
Uniform Convergence of Power Series (Lay 38) |
|
| Fri. |
Dec. 7 |
Review |
Quiz 13, HW 27 Due, Last Day of Classes |
| Thurs. |
Dec. 13 |
FINAL |
10:30-12:30 in our classroom |