Linear Mathematics & Vector Calculus Adv (MATH2961)

UNIT OF STUDY

This unit is an advanced version of MATH2061, with more emphasis on the underlying concepts and on mathematical rigour. Topics from linear algebra focus on the theory of vector spaces and linear transformations. The connection between matrices and linear transformations is studied in detail. Determinants, introduced in first year, are revised and investigated further, as are eigenvalues and eigenvectors. The calculus component of the unit includes local maxima and minima, the inverse function theorem and Jacobians. There is an informal treatment of multiple integrals: double integrals, change of variables, triple integrals, line and surface integrals, Green's theorem and Stokes' theorem.

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Further unit of study information

Classes

Four 1 hour lectures and one 1 hour tutorial per week.

Assessment

2 hour exam, quizzes, assignments (100%)

Faculty/department permission required?

No

Unit of study rules

Prerequisites and assumed knowledge

(MATH1901 or MATH1906 or Credit in MATH1001) and (MATH1902 or Credit in MATH1002) and (MATH1903 or MATH1907 or Credit in MATH1003)

Prohibitions

MATH2901, MATH2002, MATH2001, MATH2902, MATH2067, MATH2061

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Cross-institutional study

If you are from another Australian tertiary institution you may be permitted to underake cross-institutional study in one or more units of study at the University of Sydney.

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