--| home
| txt
| code
| teach
| talks
| specialfunctionswiki
| timescalewiki
| hyperspacewiki
| links |--
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]

__Quizzes__

**Quiz 1**: (solution)

**Quiz 2**: (solution)

**Quiz 3**: (solution)

**Quiz 4**: (solution)

**Quiz 5**: (solution)

**Quiz 6**: (solution)

__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]