MATH 1115 - Fundamental Mathematics for the General Sciences I
ASSIGNMENT 2 (GROUP 1)
1
To be submitted by 4 p.m. on Thursday, 6th. October, 2016 in the Department of Mathematics and Statistics
(BOX labelled MATH 1115 G1). Late assignments will be deduct
MATH 1115 - Fundamental Mathematics for the General Sciences I
ASSIGNMENT 3 (GROUP 1) 1
To be submitted by 4 p.m. on Thursday, 13th. October, 2016 in the Department of Mathematics and Statistics (BOX
labelled MATH 1115 G1). Late assignments will be deduc
Note: where applicable.
1. Do the following.
a) Show that 256 64 + 16 = 34
b) Without using calculators, simplify: 2 6 6 8
2. Solve for in the following. Express your answer to 2 decimal places (where necessary).
a) 32 = 5+1
b) 2 5 + 2 = 2 125
c) ln( + 1)
MATH 1115 - Fundamental Mathematics for the General Sciences I
ASSIGNMENT 1 (GROUP 1)
To be submitted by 4 p.m. on Thursday,
22nd. September, 2016
in the Department of Mathematics and Statis-
tics (BOX labelled MATH 1115 G1) . Late assignments will be de
THE UNIVERSITY OF THE WEST IN DIES
ST. AUGUSTINE
EXAMINATIONS 0F APRIL/MAY 2013
Code and Name of Course: MATH 1151 ,. Calculus II Paper:
Date and Time: magmxglaai Y" mag 913 3 1+ (>00 Duration: 2 hours
INSTRUCTIONS TO CANDIDATES: This paper has 5 pages an
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@ THE UNIVERSITY OF THE WEST INDIES
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EXAMINATIONS OF APRIL/MAY 2015
Code and Name Of Course: MATH 1151 - Calculus II Paper:
Date and Time: Msgaj 7-H" "103 9015 HP'm . Duration: 2hours
INSTRUCTIONS TO CANDIDATES: This paper has 4 pages an
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THE UNIVERSITY OF THE WEST INDIES
ST. AUGUSTINE
EXAMINATIONS 0F A?RILIMAY 2014
Code and Name of Course: MATH 1 151 - Calculus II Paper:
Date and Time: Tl/ngw W8 Q0? If if) m . Duration: Zhonrs
INSTRUCTIONS TO CANDIDATES: This paper has 5 pages and
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THE UNIVERSITY OF THE WEST INDIES
ST. AUGUSTINE
JFK
EXAMINATIONS OF JULY 2014
Code and Name of Course: MATH 1151 Calculus II
Date and Time: F6853 chj WJ 31) l (f,
INSTRUCTIONS TO CANDIDATES:
Paper:
I F~m - Duration: 2 hours
This pap
THE UNIVERSITY OF THE WEST INDIES
ST. AUGUSTINE
EXAMINATIONS OF JULY 2015
Code and Name of Course: MATH 1151 Calculus II Paper:
Date and Time: Frl Alibi Q-LITHN A 13 9-0 \ S" 1 PT Duration: 2 hours
INSTRUCTIONS TO CANDIDATES: This paper has 4 pages and 5
4. Solve: a) 7/0; b) 0/7
a. 7/0 = undefined. Since any number multiplied by zero is zero, the expression 0/0 also has no
defined value and thus division by zero is undefined.
b. 0/7 = 0
5. Simplify 27 + 75 (show all workings)
Ans.: 33 + 53 = 83
Working:
T
1. A Caribbean singleelimination tennis tournament is held for 100 players. How
many matches will be played before a winner?
In each match one player is eliminated so 99 matches (100 1) would be played before a
winner emerges.
2. Patti from St. Vincent mo
1. A certain book costs EC$24 more in hardcover than in softcover. If the softcover
price is twothirds of the hardcover price, how much does the book cost in
hardcover?
The answer is the book cost $72 in hardcover.
Let h be the cost of the book in hardcov
MATH 2274
ASSIGNMENT 4
Due: Wednesday 5th October 2016 in MATH 2274 Assignment Box @ 4:30pm
Name: _
Full marks will not be awarded if full working is not shown.
ID#: _
Dr I. Dialsingh
QUESTION 1
Consider the following scenarios: (You are required to (i) S
MATH 2274
ASSIGNMENT 3
Due: FRIDAY 30th September 2016 in MATH 2274 box at 12:00pm.
Name: _
ID#: _
Full marks will not be awarded if full working is not shown. Write in the spaces provided!
Dr I. Dialsingh
QUESTION 1
(a) How many ways can we divide n dist
ASSIGNMENT 1 Due: Wednesday 14th September 2016 @ 4:00pm in the MATH 2274 box in the MATH & STATISTICS DEPT.
Full marks will not be awarded if full working is not shown. Write your answers in the space provided.
NAME:_
1)
Dr I. Dialsingh
ID#:_
a) Suppose
MATH 2274 ASSIGNMENT 2
STATISTICS DEPT.
Due: Wednesday 21st September 2016 @ 4:00pm in the MATH 2274 box in the MATH &
Name: _
ID#: _
Full marks will not be awarded if full working is not shown. Write in the spaces provided!
Dr I. Dialsingh
QUESTION 1
(i)
MATH 2274
ASSIGNMENT 5
Due: FRIDAY 14th October 2016 in the MATH 2274 Assignment Box @ 4:45pm
Name: _
Full marks will not be awarded if full working is not shown.
ID#: _
Dr I. Dialsingh
QUESTION 1
(i) A random variable X takes on the values -1, 1, and 5 w
Course Title:
Course Code:
Level:
Number of Credits:
Semester:
Prerequisite(s):
Multivariable Calculus
MATH 2270
2
3
1
MATH 1142 and MATH 1151 (or equivalents)
Course Rationale
In the natural world, whenever variable quantities change in relation to one a
Math 2270: Multivariable Calculus
Semester I - 2016/2017
Partial Derivatives & Differentiability Problem Sheet
1. Given that f (x, y) = x2 + 3xy , find the following using the definitions of the
partial derivatives:
(a) fx (x, y)
(b) fy (1, 2)
(c) fxy (x,
Math 2270: Multivariable Calculus
Semester I - 2016/2017
Applications of Partial Derivatives Problem Sheet
1. Find and classify (where possible) all critical points of the following functions:
(a)
f (x, y) = 3xy x3 y 3
(b)
f (x, y) = x3 + 3x2 9x + y 3 12y
Math 2270: Multivariable Calculus
Semester I - 2016/2017
Limits Problem Sheet
Find (and prove) the following limits if they exist, otherwise prove that they
do not exist:
1.
lim
(3x + y)
(x,y)(0,2)
2.
x2 6x + y 2
lim
(x,y)(3,0)
3.
(3xy 6x)
lim
(x,y)(1,2)
Math 2270: Multivariable Calculus
Semester I - 2016/2017
Continuity Problem Sheet
Determine whether the functions defined below are continuous at the given
points. For each function, if it is not continuous at the point, state whether the
discontinuity is
% main file to call function file
Xrange = 0:0.01:1; % range for X
ICs = [1 0]; %y1 = 1 y2 = -2
[X,Y] = ode45(@secondorderode, Xrange, ICs);
disp(' x y1 y2')
disp([X Y])
y = Y(:,1);
z = Y(:,2);
plot(X,Y)
0unction file to solve ODEs
function dYdx = secondo
%work out derivatives
PRGA2_dzy(1,1)
function Z = PRGA2_z(x,y) %user defined function
Z = x.*exp(-(x.^2 + y.^2); %gives the vaule of the eqn for a given value of x
Return
function dz = PRGA2_dzy(x,y)
dz(1) = (PRGA2_z(x,y+0.001) - PRGA2_z(x,y);
dz(1) = dz(
olve linear systems of equations
A = [5 6 1;1 -1 1;1 1 1];
B = [20;2;6];
disp(A)
X = inv(A)*B
X_backdiv = A\B % uses back division
0ote that A\B is not the same as A/B
% A\B, B/A, A/B, B/A are all different
A1 = [5 6 1 5;1 -1 1 -1;1 1 1 1;1 -5 -1 6];
B1 =