Introduction to Abstract Mathematics Math 270
The main objective of the course is to give the students an understanding, appreciation, and preparation for more advanced mathematics.
Most importantly, being able to both understand and construct proofs will be a key goal of this course.
Spring 2019:
- Classes: MWF 10:00am-10:50am, NDSU Walster Hall Room 221
- Office hours: MWF 12:00pm-1:00pm (Minard 408E22)
- Syllabus
- Textbook: Ulrich Daepp, Pamela Gorkin, Reading, Writing, and Proving, Second edition, Springer, 2011 Amazon
Tentative schedule:
- Week 1. Sentential logic. Truth tables.
- Week 2. Contrapositive and converse.
- Week 3. Sets. Quantifiers.
- Week 4. Proofs. First midterm test.
- Week 5. Sets.
- Week 6. Sets.
- Week 7. Sets.
- Week 8. Relations.
- Week 9. Partitions. Second midterm test.
- Week 10. Spring break, no classes.
- Week 11. Functions.
- Week 12. Functions.
- Week 13. Functions.
- Week 14. Mathematical induction. Third midterm test.
- Week 15. Infinite sets.
- Week 16. Infinite sets.
- Week 17. Infinite sets. Dead week.
- Week 18. Final exam (May 8, Wednesday, 1:00pm-3:00pm).
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