MATH 8, SECTION 1, WEEK 1 - RECITATION NOTES
TA: PADRAIC BARTLETT
Abstract. These are the notes from Friday, Oct. 1sts lecture. In this talk, we study one last example of induction, discuss proofs by contrapositive, and examine the eld axioms of R (specic
MATH 8, SECTION 1, WEEK 4 - RECITATION NOTES
TA: PADRAIC BARTLETT
Abstract. These are the notes from Friday, Oct. 22nds lecture. In this talk, we wrap up a number of loose ends relating to continuity and limits, discussing one-sided limits, limits at inni
MATH 8, SECTION 1, WEEK 4 - RECITATION NOTES
TA: PADRAIC BARTLETT
Abstract. These are the notes from Monday, Oct. 18ths lecture, where we started to discuss the ideas of limits and continuity.
1. Random Question Question 1.1. So, in R , you can draw at mo
MATH 8, SECTION 1, WEEK 4 - RECITATION NOTES
TA: PADRAIC BARTLETT
Abstract. These are the notes from Wednesday, Oct. 20ths lecture, where we studied several dierent kinds of discontinuous functions.
1. Random Question Question 1.1. Can you nd a function f
MATH 8, SECTION 1, WEEK 5 - RECITATION NOTES
TA: PADRAIC BARTLETT
Abstract. These are the notes from Friday, Oct. 29ths lecture. In this talk, we discuss the Weierstrass function, an example of a function that is continuous everywhere and dierentiable now
MATH 8, SECTION 1, WEEK 5 - RECITATION NOTES
TA: PADRAIC BARTLETT
Abstract. These are the notes from Wednesday, Oct. 27ths lecture, where we studied how dierentiability and extrema are related; also C 1 functions!
1. Random Question Question 1.1. Suppose
MATH 8, SECTION 1, WEEK 5 - RECITATION NOTES
TA: PADRAIC BARTLETT
Abstract. These are the notes from Monday, Oct. 25ths lecture, where we begin our discussion of the derivative.
1. Random Question Question 1.1. Can you nd a function f : [0, 1] [0, 1] such
MATH 8, SECTION 1, WEEK 2 - RECITATION NOTES
TA: PADRAIC BARTLETT
Abstract. These are the notes from Wednesday, Oct. 6ths lecture, where we showed that there are innite sets with dierent cardinalities.
1. Random Question Question 1.1. Dene (n) as the func
MATH 8, SECTION 1, WEEK 2 - RECITATION NOTES
TA: PADRAIC BARTLETT
Abstract. These are the notes from Monday, Oct. 4ths lecture, where we discussed whether we could dene a meaningful concept of size for innite sets.
1. Random Question This is slightly dier
MATH 8, SECTION 1, WEEK 2 - RECITATION NOTES
TA: PADRAIC BARTLETT
Abstract. These are the notes from Friday, Oct. 8ths lecture. In this talk, we study sequences.
1. Random Question Question 1.1. First, prove that you cannot cover R with disjoint circles o
MATH 8, SECTION 1, WEEK 1 - RECITATION NOTES
TA: PADRAIC BARTLETT
Abstract. These are the notes from Wednesday, Sept. 29ths lecture. In this talk, we continue our discussion on proofs by contradiction, and examine proofs by induction.
1. Random Question Q
MATH 8, SECTION 1, WEEK 1 - RECITATION NOTES
TA: PADRAIC BARTLETT
Abstract. These are the notes from Monday, Sept. 27ths lecture. Here, we introduce some basic logical notation, and begin to discuss what it means to prove something.
1. Administrivia and A
MATH 8, SECTION 1 - MIDTERM REVIEW NOTES
TA: PADRAIC BARTLETT
Abstract. These are the notes from Friday, Oct. 25ths midterm review.
The following is kind of a condensed, Clis-Notes-style review of the course thus far; here, we list all of the major theore