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 620-122 Mathematics B (Advanced)

Note

Students may gain credit for only one of 620-112, 620-122, [99]620-142, [99]620-200, 620-211.

Credit Points

12.5

HECS Band

2

Coordinator

Dr C Hodgson

Prerequisites

One of 620-111, 620-120 (MUPHAS Mathematics), 620-121 or [99]620-141 with a grade of H1.

Semester

1, repeat 2 (view timetable)

Contact

36 lectures (three per week), 11 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, quadrics 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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