MATH 409-501
Advanced Calculus I
Spring 2012
Instructor: David Kerr
Office: Milner 121
Office hours: MW 10:30-12:00
Lectures: MWF 9:10-10:00, Blocker 148
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 February 1):  1.2: 0, 3, 4(a,c), 7(a,b), 10
Assignment #2 (due February 8):  1.3: 0(a,c), 1(a,e) (just state the answer), 6, 7, 8;  1.4: 2(b,d), 4(a,c)
Assignment #3 (not to be handed in):  1.5: 0(b,c,d), 2(a,b,c), 5, 6;  1.6: 0, 1, 3, 6
Assignment #4 (due February 22):  2.1: 0, 1(c), 2(a), 7;  2.2: 0(a), 1(a), 2(b), 3(b)
Assignment #5 (due February 29):  2.3: 0, 3, 7;  2.4: 0, 3(b), 4
Assignment #6 (due March 9):  3.1: 0(c,d), 1(a,d), 3(a), 6;  3.2: 0(a,c), 1(b), 6
Assignment #7 (due March 21):  3.3: 0(a,c), 1(a,b), 2(a), 4;  3.4: 0(a,d), 1(b), 4
Assignment #8 (not to be handed in):  4.1: 0, 1, 2, 3, 4, 6;  4.2: 0, 1, 2
Assignment #9 (due April 4):  4.3: 0(a,b), 1(c), 2, 4, 9;  4.4: 1, 3, 5(a,d)
Assignment #10 (due April 11):  4.5: 0, 1, 7
Assignment #11 (due April 25):  5.1: 0(a), 2(b), 3, 4;  5.2: 0(b), 2(a,b), 6;  5.3: 0(a,b), 1(b,c)
Assignment #12 (not to be handed in):  5.4: 2, 3, 4, 6;  5.4: 0, 1, 2, 4, 5, 6, 7
Exams
In-class exam #1: February 15, covers 1.1-1.6
Practice | Practice solutions  (ignore #2 and #5(c), which cover Chapter 2 material)
In-class exam #2: March 28, covers 2.1-2.4, 3.1-3.4, 4.1-4.2
Practice | Practice solutions  (ignore #5(c))
Final exam: May 4, 10:00-12:00
Practice  (ignore #1,3,5,7,9,10)