Syllabus

Book we follow (free!): "Primer of Real Analysis" by Dan Sloughter

Student produced flashcards for definitions

HW1 (due Monday 26 August) [soln]: Exercises 1.1.3, 1.1.4,

HW2 (due Monday 2 September): Exercise 1.3.3, 1.3.4 (b-d), 1.3.6, 1.3.8

HW3 (due

HW4 (due

HW5 (due Monday 23 September):

HW6 (due Monday 30 September):

HW7 (due Monday 7 October):

HW8 (due

HW9 (due

HW10 (due Monday 28 October):

HW11 (due Monday 4 November):

HW12 (due

HW13 (due

HW14 (due Monday 2 December):

HW15 (due

Quiz 1 (due 23 Aug) [soln]: Let $A=\left\{ \text{green}, *\right\}$ and $B=\left\{A,4\right\}$. Compute $A \cup B$, $A \cap B$, $A \times B$, and $B \times A$.

Quiz 2 (due 23 Aug) [soln]: Show that the relation $R$ on $\mathbb{Z}$ defined by $m \sim_R n$ iff $m-n$ is even is a transitive relation.

Quiz 3 (due 27 Aug) [soln]: Show that for all $a,b,c \in \mathbb{Q}$ that $a(b+c)=ab+ac$ (and cite relevant equation numbers).

Quiz 4 (due 29 Aug) [soln]: Turn the proof sketch in the notes (see teams) that it is impossible for both $a>0$ and $a=0$ in $\mathbb{Q}$ into a nice proof.

Quiz 5 (due

Quiz 6 (due

Exam 1

Exam 2

Exam 3