In second year, we offer you the opportunity to expand your knowledge and skill in the 'core' areas of mathematics and statistics and, at the same time, to begin to specialise towards Applied Mathematics, Pure Mathematics, or Statistics.
Some of the courses you take are determined by your choice of Majors/Minors (in the Science degree program 3970 or combined degree programs) or a study plan (in Advanced Science). Other courses are 'free electives' which you can choose for yourself.
The information given here is to help you choose your electives, starting with a list of courses together with links to a fuller description of each course. Many of the courses are available at Higher level as well as Ordinary, so we offer advice on whether to take Higher courses. Finally, there is a guide to the differences between Applied, Pure and Statistics and how this may affect your choice of courses.
What do we offer?
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The following is a list of the courses we offer Mathematics and Statistics majors at second year. Each item in the list is linked to a course description which tells you what the course is about and why it is worth studying. The last digit of the course number tells you how many units of credit it is worth: last digit 0 means 3 units of credit and last digit 1 means 6 units of credit.聽聽
NOTE: MATH2260 is not taught every year.
- MATH2011 Several Variable Calculus
- MATH2111 Higher Several Variable Calculus
- MATH2121 Mathematical Methods for Differential Equations
- MATH2221 Higher Mathematical Methods for Differential Equations
- MATH2241 Introduction to Atmosphere and Ocean Dynamics
- MATH2281 Biomathematics
- MATH2301 Mathematical Computing
- MATH2400 Finite Mathematics
- MATH2501 Linear Algebra
- MATH2521 Complex Analysis
- MATH2601 Higher Linear Algebra
- MATH2621 Higher Complex Analysis
- MATH2801 Theory of Statistics
- MATH2901 Higher Theory of Statistics
- MATH2831 Linear Models
- MATH2931 Higher Linear Models
- MATH2871 Data Management for Statistical Analysis
- MATH2881 Quantitative Risk
Higher level or not?
If you did well in your first year of mathematics (70 or better) and enjoyed it, you should consider taking at least some of your second (and later) year courses at the higher level.聽
These courses are more demanding, but more rewarding. You will begin to understand why Mathematics and Statistics works, rather than merely how. This gives you a more solid foundation for using mathematics and statistics in other areas, as well as for further studies in Mathematics or Statistics. It also makes it easier for you to continue to an honours degree in Mathematics or Statistics, if you decide that you want to.
Applied, pure or statistics?
Students at 国民彩票 can study subjects from applied mathematics, pure mathematics, and statistics. You may already know which of these areas you want to specialise in; if not, don't worry, and keep your options open. Some more information is given below.
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Applied mathematics is concerned with the use of mathematics to help solve problems in the real world. This means that applied mathematics is involved in innumerable human activities.聽
Three important areas of applied mathematics are modelling, design and analysis.
In mathematical modelling we try to incorporate the essential features of a complex system (such as ocean currents, the national economy, or the human nervous system) into a series of manageable equations. A good model will show how the system works, will predict the future, and will suggest further aspects for study. In the course MATH2241 Introduction to Atmosphere and Ocean Dynamics you can learn about modelling in many contexts, including ecol