Course Syllabus
MAT A30
Fall 2015
The sections shown below are from Calculus: Early Transcendentals  8e by Stewart
1. Denition of a function and its graph. (1.1) A catalogue of functions: constant, power,
polynomials, rational, absolute value, oor, ceili
PHY151H1F Lecture 19 JasonJBHarlow
Based on Chapter 7 of Mazur Associate Professor, Teaching Siream
Degarlment of Phgsics
iason Ha rlow Universlgg of Toronto
Wed. 28, B.Sc. Physics and Astronomy, University of Toronto, 1993
Phi). Astronomy and Astrophys
Users of financial info
 Internal: managers (fin, mang, tax)
 External: investors (potential shareholders), suppliers, creditors (entity to whom money
is owed), customers, gov, competitors
Accounting
 Financial: periodic fin statements and related disc
Start 2.1 C. transitional forms
Pink thing can turn head. 4) can support itself on fins, unlike fish. Traits would have allowed
them to exploit land.
Orange beetles are preadapted to an environment that includes greenbeetle eating predators
 Orange due
FUNCTIONS
3. INVERSES OF RECIRPOCAL TRIGONOMETRIC FUNCTIONS:
Dene f (x) = csc x with domain (0, /2] (, 3/2] and range (, 1] [1, ). Then:
y = f 1 (x) = csc1 x = arccsc x for x (, 1] [1, ) and range (0, /2] (, 3/2]
4
2
Graph of y= arccsc x
Graph of f(x) = c
University of Toronto at Scarborough
Department of Computer & Mathematical Sciences
MAT A30F
Solution to Assignment #3
A. Homework problems from the lectures:
1. A) From the graph of cos x (in blue), we get the graph of sec x (in green):
5
4
3
2
1

0
1
University of Toronto Scarborough
Department of Computer & Mathematical Sciences
MAT A30F
Solution to Assignment #1
A. Homework problems from the lectures:
1. Show that:
(i) the product of two even functions is an even function.
(ii) the product of two od
University of Toronto Scarborough
Department of Computer & Mathematical Sciences
MAT A30
Solution to Assignment #2
A. Homework problems from the lectures:
1. Prove the identity: tan x + cot x = sec x csc x
Solution:
sin x cos x
sin2 x + cos2 x
+
=
cos x s
PHYl 5 lHlF
Lecture 20: Friday Oct. 30, 2015
Professor Stanley will return Monday Nov2
Today's lecture by the Practicals Coordinator for this course, Jason
Harlow.
Today‘s Outline, Finish Chapter 7:
1 Example of Conservation of Mechanical Energy for a p