Mathematical Discovery 2
Available in 2013
|Callaghan Campus||Semester 2|
Previously offered in 2012, 2011, 2010, 2009, 2008, 2007, 2006, 2005, 2004
Continues the development of linear algebra and calculus from MATH1210. In algebra, students learn how matrices may be simplified by an appropriate choice of coordinates. Known as the eigenvalue technique, this is a very powerful mathematical tool and is used throughout Science and Engineering. In calculus, students learn the mathematics behind algorithms used in calculators for computing exponential, trigonometric and other functions. They are also introduced to functions of several variables and to the notion of a differential equation, which are key concepts in mathematical modelling.
This course is a sequel to MATH1210 and is likewise intended for prospective mathematics majors and those who have a strong background in mathematics. There is substantial overlap with MATH1120; students' performance on this common material is compared and used to scale the marks to ensure that comparable students achieve comparable grades.
Not to be counted for credit with MATH1120.
|Objectives||1. To provide students with a firm foundation for later studies in algebra and analysis, the two main branches of mathematics.
2. To reinforce students' understanding of high school mathematics by developing a more rigorous approach.
3. To develop students' capacity for effective reasoning, and their ability to use their mathematical skills elsewhere.
|Content||1. Sequences and series.
2. Differential calculus of several variables.
3. Ordinary differential equations.
4. Linear algebra: matrices, determinants, eigenvectors, diagonalisation.
|Modes of Delivery||Internal Mode|
|Contact Hours||Tutorial: for 2 hour(s) per Week for Full Term
Lecture: for 4 hour(s) per Week for Full Term
|Timetables||2013 Course Timetables for MATH1220|