2018 Winter School Subject List

Linear Mathematics and Vector Calculus (MATH2061) - Opens 03 Oct 2017

Faculty: Science
Department: Mathematics and Statistics
Level: Undergraduate
Credit Points: 6

(1)  Brad Roberts - 

(1)  Maths Contact  - maths.schooloffice@sydney.edu.au

Start Date: 08 Jan 2018 
End Date: 16 Feb 2018 
Capacity: 160 
Status: Places available 
Applications Open: 03 Oct 2017 
Applications Close: 08 Dec 2017 
Census date: 02 Feb 2018 
On-time withdrawals close: 02 Feb 2018 
Available to audit: Yes
Open to HSC graduates?: Yes


  1. Prerequisites - 

    (MATH1001 or MATH1011 or MATH1901 or MATH1906) and (MATH1002 or MATH1014 or MATH1902) and (MATH1003 or MATH1903 or MATH1907)

  2. Prohibitions - 

    MATH2001, MATH2901, MATH2002, MATH2961, MATH2067, MATH2902


This unit starts with an investigation of linearity: linear functions, general principles relating to the solution sets of homogeneous and inhomogeneous linear equations (including differential equations), linear independence and the dimension of a linear space. The study of eigenvalues and eigenvectors, begun in junior level linear algebra, is extended and developed. The unit then moves on to topics from vector calculus, including vector-valued functions (parametrised curves and surfaces; vector fields; div, grad and curl; gradient fields and potential functions), line integrals (arc length; work; path-independent integrals and conservative fields; flux across a curve), iterated integrals (double and triple integrals; polar, cylindrical and spherical coordinates; areas, volumes and mass; Green’s Theorem), flux integrals (flow through a surface; flux integrals through a surface defined by a function of two variables, though cylinders, spheres and parametrised surfaces), Gauss’ Divergence Theorem and Stokes’ Theorem.


Quizzes, assignments, participation, 2hr exam


Start Date: 08 Jan 2018     End Date: 16 Feb 2018


Mon 14:00 -17:00

Wed 14:00 - 16:00

Thurs (25th Jan only) 14:00 - 16:00

Fri 14:00 - 16:00


Wed 16:00 - 17:00

Thurs (25th Jan only) 16:00 -17:00

Fri 16:00 - 17:00

Final Exam

Thurs 22nd Feb, 13:50 start (2hr exam & 10mins reading time)


Lectures: Carslaw Lecture Theatre 159


Group 1: Carslaw Lecture Room 350

Group 2: Carslaw Lecture Room 351

Group 3: Carslaw Tutorial Room 356

Group 4: Eastern Avenue Seminar Room 119

Group 5: Eastern Avenue Seminar Room 120

Group 6: Eastern Avenue Seminar Room 121

Group 7: Carslaw Tutorial Room 355

Group 8: Carslaw Tutorial Room 274

Final Exams:

Assigned Rooms: Carslaw Tutorial Rooms 360, 361, 451, 452, 453 or 454


Lecture notes for MATH2061, School of Mathematics and Statistics