APS 100: Orientation to Engineering
Assignment #2 Time Mapping: Two-Week Plan
Worksheet
A complete Assignment #2 will include answers to each of the questions below. Your
two-week plan will consist of:
1) Two one-week schedules covering the weeks of Oct.
HONOUR HOMEWORK:
8th edition.
Remember to please do the homework that was already posted in
Review of Functions before attempting this homework, as that
homework along with this homework will be tested on in your first
weeks tutorial.
Section 1.5: 65, 69,
C6D7C556-68FC-4E136-823A-A53BBE3622337
#960 1 of 10_
mat: 1 8 6exam F
UNIVERSITY OF TORONTO
FACULTY OF APPLIED SCIENCE AND ENGINEERING
FINAL EXAMINATION, DECEMBER 2014
DURATION: ,2 AND 1/2 HRS
FIRST YEAR — CHE, CIV, CPE, ELE, ENG, IND, LME, MEC, MMS
MAT
‘5OWTr0N—‘s
University of Toronto
FACULTY OF APPLIED SCIENCE AND ENGINEERING
Solutions to FINAL EXAMINATION, APRIL, 2014
Duration: 2 and 1/2 hours
First Year _ CHE. orv, IND. LME. MEG. MMs
MATlSGHlS - CALCULUS I
Exam Type: A
General Comments:
I. This exam
University of Toronto
FACULTY OF APPLIED SCIENCE AND ENGINEERING
FINAL EXAMINATION, DECEMBER, 2013
Duration: 2 and 1/2 hours
First Year — CHE, CIV, IND, LME, MEG, MMS
MAT186H1F - CALCULUS I
Exam Type: A
SURNAME: (as on your T-card)
YOUR FULL NAME:
STUDENT
University of Toronto
Department of Mathematics
MAT186H18
Calculus I
FINAL EXAMINATION
Monday, April 22, 2013
2:00 pm
Examiner: R. Burko
Duration: 2 1/2 hours
Permitted Calculators: Casio 260, Sharp 520, Texas Instrument 30
Total: 100 marks
[12 marks] 1.
University of Toronto
FACULTY OF APPLIED SCIENCE AND ENGINEERING
FINAL EXAMINATION, DECEMBER, 2012
Duration: 2 and 1/2 hours
First Year — CHE, CIV, IND, LME, MEG, MMS
MAT186H1F - CALCULUS I
Exam Type: A
SURNAME: (as on your T—card) ' Examiners:
D. Burbull
University of Toronto-
Department of Mathematics
MAT186HIS
Calculus I
FINAL EXAMINATION
Monday, April 16, 2012
2:00 pm
Examiner: R. Burko
Duration: 2 1 / 2 hours
Permitted Calculators: Casio 260, Sharp 520, Texas Instrument 30
Total: 105 marks
[15 marks]
University of Toronto
FACULTY APPLIED SCIENCE AND ENGINEERING
FINAL EXAMINATION, DECEMBER, 2011
Duration: 2 and 1/2 hours
First Year - CHE, CIV, IND, LME, MEC, MMS
MAT186H1F - CALCULUS .1
Exam Type: A
SURNAME: (as on your T-card) Examiners:
YOUR FULL NAME
HONOUR HOMEWORK:
8th edition
Section 2.1: 5 [If you feel you need more practice, # 1, 3, 7 are
all doable]
Section 2.2: 7, 9, 17, 29, 31, [If you feel you need more practice,
# 1, 3, 5, 15, 23, 25, 33, 35, 37, 39, 41 are all doable]
Assignment #1
DUE DATE: This assignment is to be submitted entirely on
paper on Friday, September 25th by 3:30pm in your TAs
drop box. Hand in one copy per pair, dont forget to put
both names and student IDs on the final assignment.
Learning Objectives: T
MAT186H1F - Calculus I - Fall 2014
Solutions to Term Test 2 - November 11, 2014
Time allotted: 100 minutes.
Aids permitted: Casio FX-991 or Sharp EL-520 calculator.
This test consists of 8 questions. Each question is worth 10 marks.
Total Marks: 80
Genera
University of Toronto
SOLUTIONS to MAT 186H1F TERM TEST 2
of Tuesday, November 3, 2009
Duration: 90 minutes
TOTAL MARKS: 60
Only aids permitted: Casio 260, Sharp 520, or Texas Instrument 30 calculator.
General Comments about the Test:
Many students are s
MATH1000: Chapter 2 cont
1
LIMITS AND DERIVATIVES cont
Limits at Infinity; Horizontal Asymptotes (Section 2.6, pg. 126)
Recall: Previously, we talked about infinite limits and vertical asymptotes.
Horizontal asymptotes, on the contrary, are based on the b
Assignment #3
Fall 2015
DUE DATE: This assignment is to be submitted entirely on
paper on Friday, October 30 by 3:30pm in your TAs drop box.
Hand in one copy per pair, dont forget to put both names on
the final assignment.
ASSIGNMENT (17 marks total):
x
1
Faculty of Applied Science and Engineering
University of Toronto
MAT I86 HIS - CALCULUS I
WEDNESDAY, APRIL I5, 20I5
FINAL EXAMINATION
LAST NAME:
FIRST NAME:
STUDENT NUMBER:
SIGNATURE:
Time allowed: 2 hours, 30 minutes
Total marks: 75
No calculators al
Graphing Problems
1. (a) Which of the following equations can be graphed:
x2 + y 2 = 4, x + y = 4, x2 + xy = 1.
(b) Which of the following functions have graphs that intersect the x-axis:
y = 2(x + 1)2 10, y =
3
, y = |x + 7| 3
x1
(c) Which of the followi
Inequalities and Absolute Values Problems
1.
Solve the following inequalities, sketch their solution on the number line and express the answer in interval
notation.
(a) x2 + 3x > 4x + 6
(b) 2x + 5 4x 7
(c) 1 3x + 5 < 4
(d) 3 < |3x + 9| < 6
10
(e) x 3
x
2
Geometry Problems
1.
The graphs of which line passes closer to the point (10, 15): y = 3x + 5, or 2y + 6x = 4?
2.
Give an example of one line that is perpendicular to the graph of 3x + 2y = 4 and one that is parallel to
it.
3.
Give three examples of lines