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: An Introduction to Analysis, third edition, by William R. Wade, published by Pearson Prentice Hall.
Instructor: David Kerr
Office: Milner 121
Email: kerr@math.tamu.edu
Office hours: T 2:00-3:30, W 10:30-12:00
Lectures: TR 11:10-12:25, Blocker 160
Assignments
Assignment #1 (due January 29)
  • 1.1:  1, 3, 10(a)
  • 1.2:  1(b), 6(a)
Assignment #2 (due February 5)
  • 1.3:  1(c,d,f) (just state the answer), 3, 6, 9, 10
Assignment #3 (due February 12)
  • 1.4:  1(a,f), 3, 5, 6, 7, 9
Assignment #4 (due February 26)
  • 2.1:  1(d), 2(b), 4, 6
  • 2.2:  1(b), 2(b), 5
  • 2.3:  1, 5
Assignment #5 (due March 5)
  • 2.4:  1, 4, 6
  • 3.1:  1(b,c), 2(b), 3(d,e)
Assignment #6 (due March 12)
  • 3.2:  1(c), 2(c), 3(a)
  • 3.3:  1(a), 5, 8
  • 3.4:  1(b), 6(a,b,c)
Assignment #7 (due April 2)
  • 4.1:  1(b), 2, 3
  • 4.2:  1(b), 2(a,c)
  • 4.3:  2(a), 3(a), 5(b), 7
Assignment #8 (due April 9)
  • 5.1:  2(b,c), 3, 4, 5
  • 5.2:  3, 5, 6
Assignment #9 (due April 16)
  • 5.3:  1, 3, 6, 8
  • 5.4:  1, 2, 4
Assignment #10 (due April 23)
  • 6.1:  1, 2(b,d), 3(b), 7
  • 6.2:  1(a,c,e,f), 2(a,c), 4
Assignment #11 (not to be handed in)
  • 6.3:  1, 2, 5, 6, 8
  • 6.4:  1, 2, 3
  • 7.1:  1, 2, 3, 4, 5, 6
  • 7.2:  1, 2, 3
  • 7.3:  1, 5, 6
Exams
Exam #1: in class Feb. 19, covers 1.1-1.4, 2.1-2.2    [Solutions]

Exam #2: in class Mar. 26, covers 2.3-2.4, 3.1-3.4, 4.1-4.4    [Solutions]

Final exam: May 8, 3:00-5:00, Blocker 160, comprehensive with emphasis on 5.1-5.4, 6.1-6.4, and 7.1-7.3
MATH 409 Advanced Calculus I (Section 501)
Spring 2009