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620-121 Mathematics A (Advanced) | |
Note | Students may only gain credit for one of 620-111, 620-121, 620-141, or [98]620-111, [98]620-121, [98]620-142. Passing 620-121 excludes subsequent credit for any of 620-161, 620-162. |
Credit Points | 12.5 |
Coordinator | Professor D Y C Chan |
Prerequisites | A high level of achievement in VCE Specialist Mathematics 3/4, or equivalent, or special permission of the Director of First-year Studies. |
Semester | 1 (view timetable) |
Contact | 36 lectures (three per week), 12 one-hour tutorials (one per week) and 36 hours problem solving |
Subject Description | This subject prepares students for later studies in Mathematics and Statistics, or other disciplines in which mathematical concepts of calculus and linear algebra are needed, introducing important topics not previously studied at school, and giving a fresh perspective on familiar topics. Foundations: sets, integers, methods of proof; real numbers; complex numbers, polar form, de Moivre's theorem, complex exponential. Calculus:functions of one real variable (including limits and continuity), derivatives; curve sketching; maxima and minima, curvature; antiderivatives and the definite integral; trigonometric functions and their inverses, logarithm, exponential function, hyperbolic functions and their inverses; Taylor polynomials. Multivariable calculus: functions of several variables, level curves, heights; partial derivatives, commutation of mixed partial derivatives. Linear approximations, chain rule, directional derivatives. Vectors and linear equations: vectors in three-dimensional space, dot and cross products, triple products, determinants; linear dependence; equations of lines and planes, geometrical applications; bases and coordinates, dimension; row-reduction, rank, inverse, solution of linear equations, geometrical interpretation. |
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
Prev 620-113 Applied Mathematics (Extended)
Next 620-122 Mathematics B (Advanced)
Status: Official 1999 Last Modified: Tuesday October 20 11:53 SGML to HTML Conversion: Information Technology Services Authorised by: Academic Registrar Email Enquiries: Course_Information@registrar.unimelb.edu.au