Linear Mathematics and Vector Calculus Adv (MATH2961)


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.

Our courses that offer this unit of study

Further unit of study information


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


2 hour exam, quizzes, assignments (100%)

Faculty/department permission required?


Unit of study rules


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


MATH2001 or MATH2901 or MATH2002 or MATH2902 or MATH2061 or MATH2067

Study this unit outside a degree

Non-award/non-degree study

If you wish to undertake one or more units of study (subjects) for your own interest but not towards a degree, you may enrol in single units as a non-award student.

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.