(Tentative) Course Schedule
WEEK OF JUNE 7
1.1 Ordered field axioms
1.2 Well-Ordering Principle
1.3 The Completeness Axiom
WEEK OF JUNE 12
1.3 The Completeness Axiom (continued)
1.4 Functions, countability, and the algebra of sets
2.1 Limits of sequences
2.2 Limit theorems
WEEK OF JUNE 19
2.3 Bolzano-Weierstrass Theorem
2.4 Cauchy sequences
2.5 Limits supremum and infimum
3.1 Two-sided limits
3.2 One-sided limits and limits at infinity
WEEK OF JUNE 26
REVIEW for Midterm # 1 - Tuesday, June 27
Midterm # 1 - Wednesday, June 28
3.3 Continuity
3.4 Uniform continuity
WEEK OF JULY 3
No class on Tuesday, July 4 (Independence Day holiday)
4.1 The derivative
4.2 Differentiability theorems
WEEK OF JULY 10
4.3 Mean Value Theorem
4.4 Monotone functions and the Inverse Function Theorem
5.1 Riemann Integral
REVIEW for Midterm # 2 - Friday, July 14
WEEK OF JULY 17
5.2 Riemann sums
Midterm # 2 - Tuesday, July 18
5.3 Fundamental Theorem of Calculus
5.4 Improper Riemann integration
6.1 Infinite series of real numbers: Introduction
WEEK OF JULY 24
No class on Monday, July
24 (Pioneer Day holiday)
6.2 Series with nonnegative terms
6.3 Absolute convergence
6.4 Alternating series
REVIEW for Final Exam - Friday, July 28
WEEK OF JULY 31
7.1 Uniform convergence of sequences
FINAL EXAM - Tuesday, August 1
Last day of classes is
Wednesday,
August 2