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MATH1050: Basic Mathematics - |
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About this course |
About MATH1050!
What
is it?
This course is a gentle introduction to the most important
parts of the mathematics needed at University. It is designed for students
with limited backgrounds, and gives a knowledge of mathematics equivalent to
Most students take MATH1040 to satisfy a prerequisite. But MATH1040 is also is interesting in its own right, and it will even be useful in everyday life. Many students from other fields take MATH1040 to strengthen their mathematical skills. A number of PhD students have completed MATH1040 so they can understand the mathematics used in their area. Happily a number of students have enjoyed MATH1040 so much that they have studied some of the follow-up courses. What
does it cover?
There are two main components to MATH1040. We start with introductory concepts such as number systems, algebraic manipulation, equations, inequalities and power laws. Then we move into some set theory and probability, and cover an introduction to summation notation. We consider simple graphing, and use that as the basis for studying straight lines and simultaneous equations. We define function notation, and then consider some functions whose graphs are not straight lines, which leads into quadratic equations. We finish the first part of the course by encountering matrices, and seeing how we can perform useful operations on matrices. Next, we leap into some calculus, by first considering some simple limit problems, and then using this to define the derivative of a function. We study various rules of differentiation, and then examine several useful applications of derivatives, including displacement/ velocity/acceleration, maximisation and minimisation problems and equations of tangent lines. We see how integration relates to differentiation, and some practical applications of integrals (such as areas under curves). Then we finish with a quick introduction to exponential functions and logarithms. Who
should do it?
This course is especially suitable for students with limited backgrounds in mathematics, particularly those who have not been successful in the past! A pass in MATH1040 can be used to satisfy a Maths B prerequisite. It should be taken by anyone who has not completed Maths B, but who wishes eventually to enter a degree or take a course that requires Maths B. What
do I need?
MATH1040 has no prerequisites. It cannot be counted towards a degree if you have a HA in school Maths B, unless you have special permission from you faculty. (You should be doing MATH1050!) When
is it available?
It is offered in Semesters 1 & 2 at |
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MATH1040 Web Page (January 2009)