MATH 350, Review for Midterm Test 2

Test topics

  1. Topology of the real numbers
    1. Open and closed sets (3.1)
    2. Compactness (3.1)

  2. Limits and continuity
    1. Limit of a function (4.1)
    2. Definition of continuity. Continuity on a set (4.1)
    3. Properties of continuous functions (4.1)
    4. Uniform continuity (4.1)

  3. Differentiation
    1. The derivative of a function (5.1)
    2. Mean value theorems (5.2)
    3. Taylor's formula (5.2)

Important definitions/facts

Theorems that you need to know how to prove

General rules