University of Toronto Mississauga
MAT157Y5Y: Analysis 1, 2020-2021
Course outline
Here
is information about reporting missed term work without a doctors' note.
Information on using Crowdmark.
Office hours, second term:
David: Wednesdays, 4:00-5:00 pm EST.
Yael: Mondays, 9:30-10:00 am and 12:30-1:00 pm EST, or by appointment.
No office hours on Monday April 12th.
Special office hours:
David: Wednesday April 14th, from 3:30 pm to 5:30 pm EST.
Yael: Monday April 19th, from 9:00 to 11:00 am EST
and (added:) from 5:00 until 6:00 pm EST
Zoom links: the zoom links are posted on Quercus.
For-Credit Assignments, 1st term:
1,
2,
3,
4,
5,
6,
7,
8,
9
For-Credit Assignments, 2nd term:
10,
11,
12,
13,
14,
15,
16,
17,
18,
19
Supplementary notes, 1st term:
Postulates for the real numbers and some consequences
Approximations
Natural numbers
Square roots
Limits and continuity
"Hard theorems"
Differentiation
Uniform continuity
Applications of derivatives
Convex functions
Supplementary notes, 2nd term:
Length of a curve
21Jan2021: slightly revised ``Characterization of length''.
1Feb2021: fixed typo in hint for Exercise ``Invariance under rotations''.
The Riemann integral
Length of a
continuously differentiable curve
The logarithm and exponential
functions
Definitions of sine and cosine
Lim-sup and lim-inf
Criteria for convergence of series
Uniform convergence - Part 1
Uniform convergence - Part 2
Uniform convergence - Addendum
Weightless Assignments:
the weightless assignments are posted on the Quercus modules.
Copies of the weightless assignments, 1st term:
1,
2,
3,
4,
5,
6,
7,
8,
9,
10
Copies of the weightless assignments, 2nd term:
11,
12,
13,
14,
15,
16,
17,
18,
19,
20
First term test:
Guidelines.
Tests:
2017-2018,
2018-2019,
2020-2021
Second term test:
Guidelines.
Tests:
2017-2018 +comments,
2018-2019,
2020-2021
Third term test:
Guidelines.
Tests:
2017-2018 +comments,
2018-2019,
2020-2021
Fourth term test:
Guidelines.
Tests:
2017-2018,
2018-2019,
2020-2021
Final exam:
Guidelines.
Tests:
2017-2018,
2018-2019
Homework assignments from 2018-19: 1st term:
1,
2,
3,
4,
4½,
5,
6,
7,
8,
9
2nd term:
10,
11,
12,
12½,
14,
15,
16,
16½,
16¾.
LaTeX.
LaTeX is not required for this course, but I strongly recommend
that you eventually learn it.
Here is a three-page sample file and the resulting pdf:
latex-samplefile.tex,
latex-samplefile.pdf.
(Many people use specialized LaTeX interfaces.
I prepare my LaTeX source file on an ubuntu terminal window
with the "vi" editor, and from a second terminal window
I run "pdflatex" to create the pdf file and "evince" to view it.)