Advanced Calculus II
Revised: November 2006
Integration; series of points and functions; topology of the real line. Prerequisite: Math 422. Three semester hours.
To continue the objectives of Math 422.
Gordon. Real Analysis, A First Course. Addison-Wesley, 1997.
Grading procedures and factors influencing course grade are left to the discretion of individual instructors, subject to general university policy.
Attendance policy is left to the discretion of individual instructors, subject to general university policy.
Chapter 6: Integration (11 days)
The Riemann Integral and the Fundamental Theorem of Calculus
Chapter 7: Infinite Series (11 days)
Convergence and tests for convergence
Chapter 8: Sequences and Series of Functions (12 days)
Point-wise and uniform convergence; power series, Taylor series, and other series of functions.
Chapter 9: Point-Set Topology (11 days)
Open, closed, and compact sets; limit points, Heine-Borel, and continuous functions.
- Times include review and testing.