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620-142 Mathematics B | |
Note | Students may only gain credit for one of 620-112, 620-122, 620-142, [99]620-200, 620-211. |
Credit Points | 12.5 |
HECS Band | 2 |
Coordinator | Dr J J Koliha |
Prerequisites | Normally 620-141. Or any one of 620-111, 620-120 (MUPHAS Mathematics), 620-121. |
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 develops the concepts of vectors, matrices and the methods of linear algebra as tools for modern mathematics and introduces the basic properties of sequences and series, including Taylor series for functions. Students should develop the ability to understand the methods of linear algebra and convergence of series and sequences. 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, rotation matrices, diagonal, real-symmetric and orthogonal matrices. Sequences and series: convergence and divergence of sequences and series; tests for convergence; Taylor's theorem and series representation of elementary functions. |
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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Status: Official 2000 Last Modified: Thursday November 25 15:11 SGML to HTML Conversion: Information Technology Services Authorised by: Academic Registrar Email Enquiries: Course_Information@registrar.unimelb.edu.au