Week 1
☛ Monday ☚
Introduction. Proof by induction.
☛ Wednesday ☚
More induction.
Homework due Wednesday
- Skim sections 1.1–1.3.
- Read section 1.4 and section 1.5 through page 38.
- Write a solution to exercise 1.5.1 in a form suitable to be handed in
(it will not be collected, though).
☛ Friday ☚
Sets.
Homework due Friday
Week 2
☛ Monday ☚
More sets. Cartesian products.
Homework due Monday
- Relevant reading: Sections 2.1 and 2.2.
- Turn in by 2 pm on Tuesday in the folder outside my office:
H02T (tex file: H02T.tex).
☛ Wednesday ☚
Relations and equivalence relations.
(See the
mathematical writing
handout for a template for proving a given relation is an equivalence
relation.)
Homework due Wednesday
- Relevant reading: Section 2.3.
☛ Friday ☚
Equivalence classes. Modular arithmetic. Functions.
Homework due Friday
- Relevant reading: Section 2.4.
- Turn in:
H02F
(tex file: H02F.tex).
Week 3
☛ Monday ☚
Functions.
Homework due Monday
- Reading: Finish reading Section 2.4.
- Turn in by 2 pm on Tuesday in the folder outside my office:
H03T (tex file: H03T.tex.)
☛ Wednesday ☚
Injectivity, surjectivity, bijectivity. Functions acting on sets.
Homework due Wednesday
- Reading: Start reading Section 2.5 in preparation for Friday.
☛ Friday ☚
Compositions and inverse functions.
Homework due Friday
- Reading: Sections 2.5 and 2.6.
- Turn in:
H03F
(tex file: H03F.tex).
Week 4
☛ Monday ☚
Field axioms. Modular arithmetic.
Homework due Monday
- Reading: Read the first page of our handout on the
complete ordered field axioms.
Finish reading Section 2.5, and start Section 2.6.
- Turn in by 2 pm on Tuesday in the folder outside my office:
H04T (tex file: H04T.tex).
☛ Wednesday ☚
More modular arithmetic. Begin field properties.
Homework due Wednesday
- Reading: Sections 2.5 and 2.6.
☛ Friday ☚
More field properties.
Homework due Friday
- Reading: Finish reading Section 2.6.
- Turn in:
H04F
(tex file: H04F.tex).