** 26.T Logic;
Inequalities; Limits I** <-(READ ME (PDF version in list below))

** Reference:** Stewart page xvi,
Handout, Stewart Appendix A,
Stewart 1.4

** Keywords: ** Symbolic logic,
universal and existential quantifiers, implication, truth tables,
limit of a function, epsilon-delta definition

** Learning Objectives:** The student will be able to:

- Translate English statements involving "for all" or "for every", "there exists", and "if ... then" or "implies" into mathematical notation, and vice versa
- Distinguish the meanings of phrases such as the following,
and express them in mathematical notation:
- "For every epsilon there is a delta such that ... "
- "There is a delta such that for every epsilon ... "
- "There exist an epsilon and a delta such that ... "

- Solve simple inequalities, especially inequalities involving absolute values
- State the precise definition of a limit

** 26.R Limits II**

** Reference: ** Stewart 1.4, 1.3, Appendix F

** Keywords: ** Limit of a function, one-sided limits,
epsilon-delta definition, limit laws

** Learning Objectives: ** The student will be able to:

- Explain the definition of a limit graphically
- Use the definition of a limit to prove limits in simple cases
- Use the definition of a limit to prove some of the limit laws, such as "the limit of sum is the sum of the limits"