Mar 28, 2024  
2011-2012 Official General Catalog 
    
2011-2012 Official General Catalog [Archived Catalog]

MAT 266 - Introduction to Higher Math


This course provides a rigorous introduction to the concepts of sets, measures, functions, sequences, series and metric spaces.  Emphasis will be placed on writing mathematics clearly and concisely.  Recommended for Mathematics majors or Computer Science and Engineering Science students as advised.

Prerequisite- Corequisite
Prerequisite:  MAT 281 Calculus III or permission of the instructor

Credits: 3
Hours
3 Class Hours
Course Profile
Learning Outcomes of the Course:

Upon successful completion of this course the student will be able to:

1.  Prove one set is a subset of another.
2.  Prove two sets are equal.
3.  Verify that a function is one-to-one and/or onto.
4.  Prove theorems about the functions and inverse functions.
5.  Use the principle of mathematical induction.
6.  Define continuity of a function at a point.
7.  Define a bound on a set.
8.  Find infima and suprema of a set.
9.  Identify sets as countable or uncountable.
10.  Calculate the measure of a set.
11.  Define the Cantor Set.
12.  Define a sequence and be able to identify the following:
       a.  monotonicity
       b.  convergence
       c.  isolated points
       d.  accumulation points
       e.  boundedness
       f.  the Cauchy property
13.  Define pointwise and uniform convergence for sequences of functions.