| Date |
Topic |
Remarks |
| Sept 6 |
About the class, introductory problem |
first assignment - due Sept 21 |
| Sept 13 |
Telescoping sums, notes |
Follow academic tutorial |
| Sept 20 |
Some sums, logic and language |
Video about if then |
| Sept 27 |
Logic and proofs, a proof by contradiction |
|
| Oct 4 |
inequalities, direct and contradiction |
|
| Oct 11 |
Reading week - no class |
|
| Oct 18 |
assignment 3, quantifiers, exponents and logs |
|
| Oct 25 |
trig and complex numbers |
|
| Nov 1 |
roots of polynomials, roots of complex numbers |
|
| Nov 8 |
proof by induction |
sample problem worked out completely |
| Nov 15 |
more induction problems |
|
| Nov 22 |
Fibbonaci numbers, binomial coefficeints, induction |
|
| Nov 29 |
Practice for the midterm |
|
| Thursday, Dec 6 |
Midterm! |
7-10pm, Location Aviva Centre |
| Jan 3 |
Go over midterm |
Proof that $\frac{\sqrt{6}}{3}$ is irrational |
| Jan 10 |
solutions to midterm, division |
|
| Jan 17 |
integers, division and g.c.d. |
|
| Jan 24 |
modulo arithmetic |
|
| Jan 31 |
modulo arithmetic and solving equations |
|
| Feb 7 |
more solving modular equations |
|
| Feb 14 |
combinatorial proofs, example |
|
| Feb 21 |
Reading Week - no classes |
|
| Feb 28 |
combinatorial proof, summation notation |
|
| Mar 7 |
multinomial theorem, summation notatoin, Hilbert's hotel |
|
| Mar 14 |
Infinity |
|
| Mar 21 |
Infinity and dense, quantifiers |
|
| Mar 28 |
quantifiers, practice for final |
| Date |
Topic |
Remarks |
| Sept 5 and 7 |
No class- we will start the following week |
|
| Sept 12 and 14 |
assignment 2 (due Oct 2 or 4) |
|
| Sept 19 and 21 |
expectations on 2nd assignment, Some sums? |
|
| Sept 26 and 28 |
A logic puzzle |
group x and z |
| Oct 3 and 5 |
A logic puzzle |
group w and y |
| Oct 10 and 12 |
Reading week - no class |
|
| Oct 17 and 19 |
assignment 3 (due Oct 31) |
group x and z |
| Oct 24 and 26 |
assignment 3 (due Oct 31) |
group w and y |
| Oct 31 and Nov 2 |
assignment 4 (due Nov 13) |
group x and z |
| Nov 7 and 9 |
assignment 4 (due Nov 13) |
group w and y |
| Nov 14 and 16 |
assignment 5 (due Nov 27) |
group x and z |
| Nov 21 and 23 |
assignment 5 (due Nov 27) |
group w and y |
| Nov 28 and 30 |
Practice for the midterm |
group x and z |
| Jan 2 and 4 |
No class |
|
| Jan 9 and 11 |
sixth assignment (Due Jan 20) |
group w and y |
| Jan 16 and 18 |
sixth assignment (Due Jan 20) |
group x and z |
| Jan 23 and 25 |
seventh assignment (Due Feb 3) |
group w and y |
| Jan 30 and Feb 1 |
seventh assignment (Due Feb 3) |
group x and z |
| Feb 6 and 8 |
eighth assignment (Due Mar 3) |
group w and y |
| Feb 13 and 15 |
eighth assignment (Due Mar 3) |
group x and z |
| Feb 20 and 22 |
Reading Week - no classes |
|
| Feb 27 and Mar 1 |
eighth assignment and ninth assignment to be presented |
group w and y |
| Mar 6 and 8 |
ninth assignment to be presented |
group x and z |
| Mar 13 and 15 |
ninth assignment to be presented |
group w and y |
| Mar 20 and 22 |
ninth assignment to be presented |
group x and z |
| Mar 27 and 29 |
ninth assignment to be presented, final practice problems |
group w and y |