## 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

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

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, , 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.)