Week 4: Rules for Derivatives, Derivatives of Logarithmic
and Exponential Functions
Objectives
By the end of this lesson, you will be able to
use the techniques of differentiation to find f'(x)
differentiate the exponential and logarithmic functions
find

Weeek 3: Limits at Infinity & Derivatives
Objecctives
By the ennd of this lessson, you wiill be able to
evvaluate limitts of polynom
mials and raational functiions at infiniity
fiind the deriv
vatives of funnctions usingg the definitiion
Limitts at Infiin

The University of the South Pacific
Serving the Cook Islands, Fiji, Kiribati, Marshall Islands, Nauru, Niue, Samoa, Solomon Islands, Tokelau, Tonga, Tuvalu, and Vanuatu.
Faculty of Science, Technology and Environment
School of Computing, Information & Mat

@USP
THE UNIVERSITY OF THE
SOUTH PACIFIC
MA102: Mathematics for Science
Faculty of Science, Technology &: Environment
School of Computing, Information & Mathematical Sciences
Final Examination
Semester 1, 2014
Duration of Exam: 3 hours + 10 minutes
Readin

MA102O: Mathematics for Science
Assignment 1
Due Date:Friday, 19 August, 2016 (no later than 5 pm).
Instructions.
1. This assignment should be done individually.
2. You can type your answers on MS word or scan the hand-written answers and upload on MOODLE

Week 1: Definition of Mathematic, Equation of a line & Solving systems of
linear equations
Objectives
By the end of this lesson, you will be able to
define and understand the importance of Mathematics
solve basic mathematical problems
find the intercepts

Week 5: Implicit and Logarithmic Differentiation
Objectives
By the end of this lesson, you will be able to
find dy/dx using implicit differentiation
differentiate a function using logarithmic differentiation
Implicit Differentiation
An equation of the for

The University of the South Pacific
Faculty of Science, Technology and Environment
School of Computing, Information and Mathematical Sciences
MA102: Mathematics for Science
(F2F Mode)
FINAL EXAM SOLUTION SEMESTER 1, 2014
MA102 FINAL EXAM SOL - SEMESTER 1-

Is Cultural Diversity
Good for the Economy?
Wesley Sze
Honours Undergraduate Thesis
Written under the supervision of:
Dr. Nicole Fortin
Dr. Florian Hoffmann
University of British Columbia
Abstract. This paper describes the relationship between cultural
di

Week 6: Local and Absolute Extrema
Objectives
By the end of this lesson, you will be able to
find the critical numbers of a function
find the where a function is increasing or decreasing
locate the local extrema of a function
locate the absolute extrema o