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 620-141 Mathematics A

Note

  1. Students enrolling in this subject are expected to have completed VCE Specialist Mathematics 3/4 (or an equivalent subject). Students who have completed VCE Mathematical Methods 3/4 but not VCE Specialist Mathematics 3/4 should discuss their suitability for this subject with the Department's Director of First-year Studies.

  2. Students may only gain credit for one of 620-111, 620-121, 620-141, [98]620-162. Furthermore, credit cannot be obtained for 620-141 if 620-200 or 620-211 has already been passed.

Credit Points

12.5

Coordinator

Professor W D Neumann

Semester

1 and 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 introduces the manipulation of vectors, matrices, and systems of linear equations, the concepts of solid geometry and the properties of basic functions of calculus. Students should develop the ability to solve systems of linear equations, employ vector methods in geometrical problems, differentiate and integrate the basic functions of calculus and use differential calculus to solve extremal problems. This subject develops the fundamental concepts in linear algebra and calculus necessary for further serious studies in mathematics.

Complex numbers: polar form, de Moivre's theorem, complex exponential. Vectors and matrices: vectors in three-dimensional space, dot and cross products, triple products, determinants; equations of lines and planes, geometrical applications; matrices, row operations, inverses; solution of linear equations, row-reduction, rank. Calculus: functions of one real variable, derivatives; curve sketching; maxima and minima, curvature; trigonometric functions and their inverses, logarithm, exponential function, hyperbolic functions and their inverses. Multivariable calculus: functions of several variables, level curves, heights; partial derivatives, commutation of mixed partial derivatives.

Assessment

Up to 26 pages of written assignments, a 3-hour end-of-semester written examination and class tests totalling not more than 1.5 hours.

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