Announcements For the final exam, extra office hours will be held on May 2 from 12-2.
This course covers basic set, number, and group theory, along with strategies of mathematical proof. We will roughly follow Chapters 1-5 in the book.
Here is an official pdf of the syllabus for this course.
Section 2.1: 1, 2, 5, 6, 7, 8, understand this joke.Section 2.2: 1,2,4,5,6,7,10, Show that for any two open intervals (a,b) and (c,d) on the real line that there is a bijection f:(a,b)--->(c,d). (Hint: you should explicitly construct a linear function). Section 2.3: 1,2,7,8. Section 3.1: 1,2,3,4. Section 3.2: 1. Section 3.3: 1,2,3 from the book, understand the proofs that the square root of 2 is irrational, and that there are infinitely many prime numbers. Also, show that if x is an irrational, positive number, then the square root of x is also irrational. Section 1.1: 1-7. Section 1.2: 1-7,9. Section 1.3: 1-8. Section 1.4: 1-8, Determine the possible congruence classes of a square modulo 8. Important proofs from class to know: Theorems 1.4.1, 1.4.3. Section 1.5: 1,2,3,5. Section 1.6: 1,2,3,5,6,7,12. Section 4.1: 1,2,3,4,5. Section 4.2: 1-10. Section 4.3 1,2,3,4,5,8. Section 5.1: 1,2,3,4,5,6,8,10. Section 5.2: 1,2,3,5. Section 5.3: 1,2,3,4,5.
Quiz SolutionsQuiz 1 Quiz 2 Quiz 3 Quiz 4 Quiz 5 Quiz 6 Quiz 7 Quiz 8 Quiz 9 Quiz 10 Quiz 11 Quiz 12
ExamsReview guide for Exam 1 Solutions to Exam 1 Review guide for Exam 2 Solutions to Exam 2 Review guide for final exam
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