PSU
Mark
Eberly College of Science Mathematics Department

Math 312 Section 2 - Spring 2015

Concepts of Real Analysis


Schedule of classes: M W F 9:05 AM - 9:55 PM in 173 WILLARD (Sched. \# 597391)

Office Hours (tentative): Monday 4:30 - 6 PM & Tuesday 5 - 6:30 PM



Syllabus.


Topics: (sections are from the textbook, Brannan's A first Course in Mathematical Analysis)
  1. Chapter 1, Real Numbers: Review of properties of real numbers (Sections 1.1.1,1.1.2,1.2.1,1.2.2,1.5), irrational numbers (1.1.3), modulus and distance (1.2.3), triangle inequality, Bernoulli and Cauchy-Schwartz inequalities (1.3), sumpremum and infimum, completeness (1.4), Archimedean and density properties (1.1.4).
  2. Chapter 2, Sequences: monotonic sequences (2.1), null sequences (2.2), convergent and divergent sequences (2.3, 2.4), the Monotone Convergence Theorem (2.5).
  3. Chapter 3, Series: definition and examples, geometric series, telescoping series, non-null test (3.1), series of positive terms, comparison, root and ratio, Cauchy tests (3.2), alternating series, rearrangements, products (3.3), the exponential function (3.4).
  4. Chapter 4, Continuity
  5. Chapter 5, Limits








© Anna Mazzucato
Last modified: Thur Jan 7 15:23:29 EDT 2015