Week #1

September 22-26

Set theory.
Modular arithmetics.
Logic.
Functions.
Proof techniques.
Septemer 22: classes begin
Week #2

September 29- October 3

Cardinality of sets.
Monoids and groups.
Vector spaces.
Week #3

October 6-10

Vector subspace
Span
Linear independence
Basis
October 10 (Fri, 5 p.m.) Last day to add or drop a class.
Week #4

October 13-17

Basis.
Dimension.
Linear maps.
Week #5

October 20-24

Linear maps.
Rank and Nullity.
Matrices.
Week #6

October 27-31

Invertibility.
Isomorphic vector spaces.
Algebra: Fields.

Week #7

November 3-7

Completness.
Sequences.
Novemebr 4th- no class
November 8th: project 1 due.
Week #8

November 10-14

Sequences.
Monotone convergence.
Subsequences.
November 14 (Fri, 5 p.m.) Course withdrawal deadline
Change of grading basis deadline.
Week #9

November 17-21

Subsets of R.
Continuity.
Series in differential equations.
Thanksgiving break

November 24-28

Week #10

December 1-5

Some fun examples. December 5: Last day of classes.

December 12th

8:30 am: final project due.

Fall 2025
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