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Syllabus: [pdf] [tex]

__Exams__

**Exam 1** [pdf] [tex]

**Exam 2** [pdf] [tex]

**Exam 3** [pdf] [tex]

__Homework__

**Homework 1** (*due 24 January*) (solution: [pdf] [tex]): Chapter 1: Read #0. Do #1, 2, 6, and write proofs for the two unproven claims that we discussed in Friday's class. (*note: those claims are the claim that the pair $C|D$ defined in Theorem 2 is a cut and the claim that $C|D$ is an upper bound for $\mathscr{C}$*).

**Homework 2** (*due 31 January*) (solution): Chapter 1: #8(a), 11 (don't need to use cuts), and the following problems:

*Problem A*: Prove from the definition for convergence that $\displaystyle\lim_{n \rightarrow \infty} \dfrac{1}{n}=0$.

*Problem B*: Prove from the definition for convergence that $\displaystyle\lim_{n \rightarrow \infty} \dfrac{n}{2n+1} = \dfrac{1}{2}$.

*Problem C*: Prove from the definition for convergence that $\displaystyle\lim_{n \rightarrow \infty} \dfrac{3n+2}{5n-1} = \dfrac{3}{5}$.

**Homework 3** (*due 12 February*) (solution: [pdf] [tex]): [pdf] [tex]

**Homework 4** (*due 21 February*) (solution: [pdf] [tex]): [pdf] [tex]

**Homework 5** (*due 28 February*) (solution: [pdf] [tex]): [pdf] [tex]

**Homework 6** (*due 9 March*) (solution: [pdf] [tex]) : [pdf] [tex]

**Homework 7** (*due 19 March*) (solution: [solution): [pdf] [tex]

**Homework 8** (*due 2 April*) (solution: [pdf] [tex]): [pdf] [tex]

**Homework 9** (*due 11 April*) (solution: [pdf] [tex]): [pdf] [tex]

**Homework 10** (*due 18 April*) (solution): [pdf] [tex]

**Homework 11** (*due 25 April*) (solution): [pdf] [tex]

**Homework 12** (*due by last day of finals*) (solution): [pdf] [tex]

__Quizzes__

**Quiz 1**: (solution)

**Quiz 2**: (solution)

**Quiz 3**: (solution)

**Quiz 4**: (solution)

**Quiz 5**: (solution)

**Quiz 6**: (solution)

**Quiz 7**: (solution)

**Quiz 8**: (see 9 April slides)

**Quiz 9**: (see 9 April slides)

**Quiz 10**: (see 11 April slides)

**Quiz 11**: (solution)

**Quiz 12**: (solution)

**Quiz 13**: (solution)

**Quiz 14**: (solution)

__Slides__

**26-28 March, 2 April 2018**: [pdf] [tex]

**4 April**: [pdf]

**9 April**: [pdf] [tex]

**11 April**: [pdf] [tex]

**13 April**: [pdf] [tex]

**16 April**: [pdf] [tex]

**23 April**: [pdf] [tex]

**25 April**: [pdf] [tex]

**27 April**: [pdf] [tex]

__Notes__

**24 January 2018**: convergence proofs [pdf] [tex]

**9 February 2018**: continuity of a quadratic [pdf] [tex]

**Study topics for exam 1**: [pdf] [tex]

**Study topics for exam 2**: [pdf] [tex]

**Study topics for exam 3**: [pdf] [tex]

**Study topics for final**: [pdf] [tex]