Unformatted text preview: MATH 138 INFORMATION FOR TERM TEST 1 Winter 2009 TEST 1 will be held Monday — February 23 — 7:30-9:00 p.m. (see locations below) NOTE: . The test will cover Assignments 1-4. and up to problem 5 of Assignment 5, i.e., up to and
including applications of DES, but no curves in R2. (See all relevant Course Notes and Text references
on page ix of the Course Notes.) Pre—test help will be available in the Tutorial Centre in MC 4066
from 1-5 pm. on both Sunday and Monday, February 22 and 23. To HELP You REVIEW:
0 INTEGRATION SKILLS are very important, both for special techniques, and in applications. You will need to know how to find antiderivatives for all ‘basic’ functions, and how to use integration
by parts, trigonometric substitutions, trigonometric integrals, and partial fractions. For practice.
try the unassigned problems in Assignment 1 ~#1, 6, Assignment. 2 - #1, 2, 6, and/or text
problems (Odd numbers) from the relevant text sections. 0 APPLICATIONS OF TIIE DEFINI'I‘E INTEGRAL include area, volumes, and average value. Know
how to develop integrals for area and volume starting from a suitable AA or AV, and draw a
clear sketch of the area/volume with AA or AV. For average value, you need only know the
definition. 0 IMPROPER INTEGRALS include deﬁnitions of Type 1 and Type '2, and how to evaluate them; 5177’
of the Course Notes. YOu will also need L‘HOpital’s Rule in evaluating limits. (Practice exercises:
Assignment 3, #7, or text problems.) 0 DIFFERENTIAL EQUATIONS include recognition and solution of both linear and separable DES,
and ﬁnding the domain of the solution of an IVP. You will also need to be able to sketch solutions
using a qualitative (direction ﬁeld) analysis, and understand how solutions are related to the
direction ﬁeld. (See the Tutorial for Assignment 4 for deﬁnitions, Theorems, and examples.) 0 APPLICATION OF DES will NOT require that you memorize models ~ you will be given the DE.
Problems for the test will be selected from situations that can be modelled by the DB in #121)
on Assignment 5, and logistic growth (pp. 37-38 of the Course Notes). W
derivation of the result for / -—a’m; statements of the Comparison Theorems on pages 18-19
1 TEST ROOMS: You MUST GO TO THE CORRECT ROOM — THERE ARE NO EXTRA SEATS! Rooms (Looo Names) |-— RCH 105 (A—Dic)
001 P. Roh 206 (Hu-Li) D. VVolczuk
PAS 1229 (A-Karb)
002 J. Sham 1241 (Kari-Ml)
2083 (MO-Z) B. Marshman Rooms (Last Names MC 2065 (B-L)
2066 (AM-Z) CPH 3602 3604 (H~Lie)
MC 4045 (Lin-T)
4058 PHY 150 (A-H)
313 (P-Z) I.
M. Scott MC 1056 (A-Z) STJ 2009. 3014 (TBA) |- D. Zhou BIO 271 (A-Z) 005
006 L. Wang
007 09 004 M. La Croix ...
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