MACQUARIE UNIVERSITY INTERNATIONAL COLLEGE
ASSESSMENT
MATHEMATICS 123 (WMAT123)
ASSESSMENT DETAILS
Unit Name:
Assessment
Task:
Total # Pages:
Mathematics 123
Assignment 2
5
Total Marks:
100
Unit Code:
SESSION 1 EXAMINATION - JUNE 2013
Unit Code and Name:
MATH123 - Mathematics 123
Time allowed:
THREE (3) hours, plus 10 minutes reading time.
Number of questions:
FIFTEEN (15) QUESTIONS
Instructions:
A
1 Tutorial questions for you
This section contains the problems you should attempt at home in preparation for your tutorial.
1. Solve each system of equations, in 2 variables.
Describe geometrically b
1 Tutorial questions for you
This section contains the problems you should attempt at home in preparation for your tutorial.
1. Write using power notation that is, as a b for appropriate numbers or sy
1 Tutorial questions for you
This section contains the problems you should attempt at home in preparation for your tutorial.
1. Consider the quadratic given in vertex form as y = f (x) = 21 (x 1)2 3.
1 Tutorial questions for you
This section contains the problems you should attempt at home in preparation for your tutorial.
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1. Write these expressions as
SEAT NUMBER: . ROOM: .
FAMILY NAME.
This question paper must be returned.
Candidates are not permitted to remove any
part of it from the examination room.
OTHER NAMES.
STUDENT NUMBER.
SESSION 2 FORMAL
SESSION 1 EXAMINATION - JUNE 2014
Unit Code and Name:
MATH123 - Mathematics 123
Time allowed:
THREE (3) hours, plus 10 minutes reading time.
Number of questions:
FIFTEEN (15) QUESTIONS
Instructions:
A
This question paper may be retained by candidates.
FORMAL EXAMINATION PERIOD: Semester 1, 2016
EXAMINATION DETAILS:
Unit Code:
MATH123
Unit Name:
Mathematics 123
Duration of Exam
(including reading ti
MACQUARI E )1
UNIVERSITY
This question paper may be retained by candidates.
SESSION 1 FORMAL EXAMINATIONS JUNE/JULY 2014
EXAMINATION DETAILS:
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a IIJIACleARIE SEAT NUMBER: . ROOM: .
mversny FAMILY NAME: .
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pa" f 't m" the exam'mm" '" STUDENT NUMBER
MACQUARIE
University
This question paper may be retained by candidates.
FORMAL EXAMINATION PERIOD: SESSION 2, NOVEMBER 2015
EXAMINATION DETAILS:
Unit Code:
(MATH123
Unit Name:
(Mathematics 123
Duratio
MACQUARI E y E SEAT NUMBER: . ROOM: .
UNIVERSITY
FAMILY NAME .
This question paper must be returned.
Candidates are not permitted to remove any OTHER NAMES .
part of it from the examination room.
STUD
MATH123 Vodcast
Introduction
The aim of this exercise is to get creative and communicate something about mathematics. This document
describes how to make a vodcast, and the tasks to be completed in th
MATH123 Tutorial 3: Solutions
Algebra
1. Write these expressions as a single fraction as simply as possible:
2
x
+
;
(x + 1)2 x + 1
2
x+1
3x + 2
x
+
=
Solution:
2
(x + 1)
x + 1 x + 1 (x + 1)2
4
1
(b)
3. DIFFERENTIATION
3.1 The Slope Graph
Suppose we have a smooth curve where theres a tangent at every point. We could find the
value of the slope at every point and plot this against the x-values. Thi
MATH123
Week 3 homework problem solutions
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Marking guidelines 8 marks total. There are 6 marks for correctness of the logic/maths.
The other 2 marks are for
MATH123
Week 5 homework problem solutions
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Marking guidelines 8 marks total. There are 6 marks for correctness of the logic/maths.
The other 2 marks are for
MATH123
Week 2 homework problem solutions
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Marking guidelines 8 marks total. There are 6 marks for correctness of the logic/maths.
The other 2 marks are for
Math123
Algebra Summary
June 2007
Algebra Summary ()
Math123
June 2007
1/9
Weeks 1 and 2: Basic algebra
Chen & Duong notes: Chapter 1 The Real Number System Arithmetic Distributive Laws Arithmetic of
Inequalities and Absolute Value
Based on Chpt 6 of the notes by Chen and Duong. The set of real numbers is subdivided into three disjoint subsets, the positive real numbers, the number zero, and the n
Common Denominators
Suppose we have two fractions or rational expressions a/b and c/d and there is some D so that D = bu and D = dv, Then we know that a au au = = b bu D and c cv cv = = . d dv D for s
Sets of Numbers
Natural Numbers N = cfw_1, 2, 3, 4, 5, . . .
Integers
Z = cfw_. . . , 5, 4, 3, 2, 1, 0, 1, 2, 3, 4, 5, . . .
Rational Numbers
m
Q=
: m, n Z, n = 0
n
Real Numbers
R is the set of all
The Exponential Function
The exponential function f with base b is defined by f (x) = bx where b is a positive constant other than 1 and x varies over all the real numbers.
Math 123 - Week 5
1
Logarit
Integer Exponents
Suppose that a is a real number (a R) and n
is a natural number (n N), then
an = a a . . . a
n factors
In the expression an, the number a is the base,
n is the exponent, and an is th
MATH123
Week 6 homework problem solutions
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Marking guidelines 8 marks total. There are 6 marks for correctness of the logic/maths.
The other 2 marks are for
MATH123
Week 4 homework problem solutions
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Marking guidelines 8 marks total. There are 6 marks for correctness of the logic/maths.
The other 2 marks are for
GREEN= HUSSAIN, RED= ADAM, Purple= Obaid, BLUE= Jake
Calculus is defined as a discipline that is concerned with limits, functions, derivatives and integrals.
Within calculus there are two separate fie
MATH123
Session 1, 2017
Mathematics for Economics
1
Introduction
Welcome!
Why do we study maths? Consider these yahoo answers.
Here is a motivation for teaching Calculus, or more generally of Mathemat