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 620-122 Mathematics B (Advanced)

Note

Students may gain credit for only one of 620-112, 620-122, 620-200, 620-211. Students unable to take this subject in semester 2 should seek advice from the Director of First-year Studies about the suitability of taking either 620-200 or 620-211 in semester 1 of the following year.

Credit Points

12.5

Coordinator

Dr C Hodgson

Prerequisites

620-121 or equivalent

Semester

2 (view timetable)

Contact

36 lectures (three per week), 12 one-hour tutorials (one per week) and 36 hours problem solving

Subject Description

This subject gives a solid grounding in key areas of mathematics needed in modern science and technology, and is the gateway to all recent mathematical developments. Little of the material here has been seen at school, and the level of understanding required represents a distinct advance on the minimum necessary in previous subjects.

Sequences and series: convergence and divergence of sequences and series; tests for convergence; Taylor's theorem and series representation of elementary functions. Linear algebra: vector spaces in general, axioms, linear independence, basis sets, dimensionality, Rn and Cn; inner products; linear transformations, matrix of a linear transformation, change of basis, rank, inverse, solution of linear equations; eigenvectors and eigenvalues, quadratics and conics, rotation matrices, diagonal, real-symmetric and orthogonal matrices.

Assessment

Up to 24 pages of written assignments, a 3-hour end-of-semester written examination and class tests totalling not more than 1.5 hours.



Search : Index : Faculty of Science : Mathematics and Statistics
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Email Enquiries:          Course_Information@registrar.unimelb.edu.au