School

McMaster UniversityDepartment

MathematicsCourse Code

MATH 2Z03Professor

David LozinskiStudy Guide

Quiz MATH 2Z03: Test 1 Group B - Version 1

Instructor: Livia Corsi, Eric Harper, David Lozinski

Date: Thursday, October 16

Duration: 90 minutes.

Name: ID #:

Instructions:

This test paper contains 13 multiple choice and short answer questions printed on both

sides of the page. The questions are on pages 2 through 13. Pages 14 to 16 are available

for rough work. YOU ARE RESPONSIBLE FOR ENSURING THAT YOUR COPY OF

THE PAPER IS COMPLETE. BRING ANY DISCREPANCIES TO THE ATTENTION

OF THE INVIGILATOR.

Select the one correct answer to each question and ENTER THAT ANSWER INTO

THE SCAN CARD PROVIDED USING AN HB PENCIL. Room for rough work has

been provided in this question booklet. You are required to submit this booklet along

with your answer sheet. However, only short answer questions will be graded from the

booklet. Point values are marked on each question. The test is graded out of 45.

SHORT ANSWER QUESTIONS MUST BE COMPLETED IN PERMANENT INK.

Computer Card Instructions:

IT IS YOUR RESPONSIBILITY TO ENSURE THAT THE ANSWER SHEET

IS PROPERLY COMPLETED. YOUR TEST RESULTS DEPEND UPON

PROPER ATTENTION TO THESE INSTRUCTIONS.

The scanner that will read the answer sheets senses areas by their non-reﬂection of light.

A heavy mark must be made, completely ﬁlling the circular bubble, with an HB pen-

cil. Marks made with a pen or felt-tip marker will NOT be sensed. Erasures must be

thorough or the scanner may still sense a mark. Do NOT use correction ﬂuid.

•Print your name, student number, course name, and the date in the space provided

at the top of Side 1 (red side) of the form. Then the sheet MUST be signed in

the space marked SIGNATURE.

•Mark your student number in the space provided on the sheet on Side 1 and ﬁll

the corresponding bubbles underneath.

•Mark only ONE choice (A, B, C, D, E) for each question.

•Begin answering questions using the ﬁrst set of bubbles, marked “1”.

McMaster University Math2Z03 Fall 2014 Page 1 of 16

1. (3 marks) Which of the following could be used to describe the diÆerential equation

cos(x)y000 +e2xy=xy2?

(a) linear, ﬁrst-order, homogeneous

(b) autonomous, third-order, nonhomogeneous

(c) non-linear, third-order

(d) linear, third-order, nonhomogeneous

(e) autonomous, ﬁrst-order

2. (3 marks) Which of the following could be a solution to the IVP

dy

dx +cos(x)y=0,y(0) = º?

(a) y=eRx

0cos(s)ds

(b) y=eRx

0sin(s)ds

(c) y=ceRº

0cos(x)dx

(d) y=ºe°sin(x)

(e) y=ºesin(x)°1

McMaster University Math2Z03 Fall 2014 Page 2 of 16

McMaster University Math2Z03 Fall 2014 Page 3 of 16

3. (3 marks) Which of the following most accurately describes the critical points of the

autonomous diÆerential equation

dy

dx =y2(y+2)(y°2) ?

(a) °2 is stable, 0 is semi-stable, 2 is unstable

(b) °2 is unstable, 0 is unstable, 2 is semi-stable

(c) °2 is stable, 0 is stable, 2 is stable

(d) °2 is unstable, 0 is unstable, 2 is stable

(e) °2 is stable, 0 is semi-stable, 2 is stable

McMaster University Math2Z03 Fall 2014 Page 3 of 16

**Unlock Document**

###### Document Summary

Math 2z03: test 1 group b - version 1. This test paper contains 13 multiple choice and short answer questions printed on both sides of the page. The questions are on pages 2 through 13. Pages 14 to 16 are available for rough work. You are responsible for ensuring that your copy of. Select the one correct answer to each question and enter that answer into. The scan card provided using an hb pencil. Room for rough work has been provided in this question booklet. You are required to submit this booklet along with your answer sheet. However, only short answer questions will be graded from the booklet. Short answer questions must be completed in permanent ink. It is your responsibility to ensure that the answer sheet. The scanner that will read the answer sheets senses areas by their non-re ection of light. A heavy mark must be made, completely lling the circular bubble, with an hb pen- cil.

## More from OC371776

###### MATH 2Z03 Quiz: math2Z03_course_outline_fall_2014.pdf

Exam Note

###### MATH 2Z03 Midterm: math2z03_test1_a2.pdf

Exam Note

###### MATH 2Z03 Midterm: math2z03_test1_a4.pdf

Exam Note

## Classmates also unlocked

###### MATH 2Z03 Quiz: math2Z03_course_outline_fall_2014.pdf

Exam Note

###### [MATH 2Z03] - Final Exam Guide - Everything you need to know! (56 pages long)

Study Guide

###### MATH 2Z03 Midterm: math2z03_test1_a2.pdf

Exam Note

###### [MATH 2Z03] - Final Exam Guide - Ultimate 122 pages long Study Guide!

Study Guide

###### MATH 2Z03 Midterm: math2z03_test1_a4.pdf

Exam Note

###### MATH 2Z03 Quiz: old sample solutions.pdf

Exam Note

###### MATH 2Z03 Midterm: tutorial_Sept18.pdf

Exam Note

###### [MATH 2Z03] - Midterm Exam Guide - Comprehensive Notes for the exam (122 pages long!)

Study Guide

###### MATH 2Z03 Chapter Notes - Chapter 5: Convolution, Analytic Function, Periodic Function

Textbook Note

###### MATH 2Z03 Chapter Notes - Chapter 13: Eigenfunction, Fundamental Frequency, String Instrument

Textbook Note

###### MATH 2Z03 Study Guide - Midterm Guide: Simply Connected Space, Hypocycloid, Tangent Space

Exam Note

###### [MATH 2Z03] - Final Exam Guide - Comprehensive Notes fot the exam (49 pages long!)

Study Guide

###### MATH 2Z03 Chapter Notes - Chapter 8: Diagonal Matrix, Identity Matrix, Hyperbolic Function

Textbook Note

###### MATH 2Z03 Lecture 4: Seperable Equations 4

Lecture Note

###### MATH 2Z03 Quiz: tutorial3.pdf

Exam Note