**Instructor: **David Kerr
**Office:** Milner 121

**Office hours:** *week of December 3:* Monday, Tuesday, Wednesday 10:00-11:30

**Lectures:** MWF 1:50-2:40, Blocker 164

**Course description:**
Axioms of the real number system; point set theory of the real number line; compactness,
completeness and connectedness; continuity and uniform continuity; sequences, series;
theory of Riemann integration.

**Textbook:**
William R. Wade.

*An Introduction to Analysis*, fourth edition. Published by Prentice Hall.

**Assignments**

*Assignment #1* (due September 5): **1.2:** 0, 3, 4(a,c), 7(a,b), 10

*Assignment #2* (due September 12): **1.3:** 0(a,c), 1(a,e) (just state the answer), 4, 6, 7, 8

*Assignment #3* (due September 19): **1.4:** 2(b,d), 4(a,c); **1.5:** 0(b,c,d), 2(a,b,c) (just state the answer), 5, 6

*Assignment #4* (not to be handed in): **1.6:** 0, 1, 3, 6

*Assignment #5* (due October 3): **2.1:** 0, 1(c,d), 2(a), 4, 7, 8

*Assignment #6* (due October 10): **2.2:** 0(a,b), 1(a,b), 2(b,c), 3(b); **2.3:** 0, 3, 7

*Assignment #7* (due October 17): **2.4:** 0, 3(b,c), 4; **3.1:** 0(c,d), 1(a,d), 3(a), 6

*Assignment #8* (due October 24): **3.2:** 0(a,c), 1(b), 6; **3.3:** 0(a,c), 1(a,b), 2(a), 4

*Assignment #9* (due October 31): **3.3:** 5, 6, 10; **3.4:** 0(a,d), 1(b), 4

*Assignment #10* (due Thursday November 15 at 5:00 p.m.): **4.1:** 3, 6; **4.2**: 0, 1, 2; **4.3**: 0(a,b)

*Assignment #11* (due November 21): **4.3:** 4, 9; **4.4:** 1, 3, 5(a,c); **4.5:** 0(a,b), 1, 7

*Assignment #12* (due Friday November 30): **5.1:** 0(a), 2(b), 3, 4; **5.2:** 0(b), 2(a,b), 6;
**5.3:** 0(a,b), 1(b,c)

**Exams**

*In-class exam #1*: September 26, covers 1.1-1.6

Solutions
*In-class exam #2*: November 7, covers 2.1-2.4, 3.1-3.4, 4.1

*Definitions and theorems you may be asked to state:* limit (for sequences and functions), continuity,
uniform continuity, derivative, Bolzano-Weierstrass Theorem, Extreme Value Theorem, Intermediate Value Theorem

Practice #1 |

Practice #1 solutions
Practice #2
Some solutions: 1(a) T, (b) F, (c) T, (d) T, (f) T, (g) F, (h) T; 3(b) f(x)=x for x in [0,1) and f(1) = 0;
4(b) 34.

*Final exam*: December 11, 3:30-5:30

*Definitions and theorems you may be asked to state:* limit (for sequences and functions), Cauchy sequence,
continuity, uniform continuity, derivative, Bolzano-Weierstrass Theorem, Extreme Value Theorem, Intermediate Value Theorem,
Mean Value Theorem, Riemann integrability, Fundamental Theorem of Calculus parts (1) and (2)

Practice #1 (ignore the problems on series, power series, and uniform convergence)

Practice #1 solutions
Practice #2 |

Practice #2 solutions