AS/SC/MATH3010.03W

Vector Integral Calculus

This course is the sequel to MATH2010.03, and covers the integral calculus of functions of n variables. It is a required course for the honours programmes in Mathematics. It is also a natural continuation of MATH2310.03. Though that course has some topics in common, here they will be treated in greater depth.

Topics include multiple integrals, Jacobian determinants, change of variables, vector fields, curl and divergence, line and surface integrals, theorems of Gauss-Green-Stokes, differential forms.

The text will be Marsden and Tromba, Vector Calculus, 3rd ed. (Freeman).

THIS COURSE IS INTENDED PRIMARILY FOR STUDENTS WHO HAVE TAKEN THE HONOURS VERSIONS OF FIRST AND SECOND YEAR COURSES.

The prerequisites are (i) MATH1120.03 or MATH2090.03 or MATH2320.03; (ii) MATH2022.03 or MATH2222.03, and (iii) MATH2010.03 or MATH2310.03 or permission of Programme Director and MATH2015.03.

Degree credit exclusions are MATH3310.03 and ACMS2030.06