Ma 225: Introduction to Advanced Mathematics
Instructor:
Richard E. Chandler
Summer 2011 Office: 4232 SAS Hall
Summer 2011 Office Hours: 7:30 - 8:00 and 9:30 - 10:30, M-F
Telephone: 515-3177
Text:
Douglas Smith, Maurice Eggen, Richard St. Andre: A Transition to Advanced Mathematics, 7th Edition,
Brooks/Cole, 2010, ISBN 0-495-56202-5
Supplementary Problems (.pdf format)
Syllabus
- I. (1 Week) Logic and Proofs
- Propositions and Connectives
- Conditionals and Biconditionals
- Quantifiers
- Proofs
- II. (1½ Weeks) Set Theory
- Basic Ideas
- Set Operations
- Extended Set Operations
- Mathematical Induction
- III. (1 Week) Relations
- Cartesian Products
- Relations
- Equivalence Relations
- Partitions
- IV. (1 Week) Functions
- Functions as Relations
- Construction of Functions
- 1-1 and Onto Functions
- V. (½ Weeks) Cardinality
- Finite and Infinite Sets
- Countable and Uncountable Sets
Course Policies
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