MATH201-18S1 (C) Semester One 2018

Multivariable Calculus

15 points, 0.1250 EFTS
19 Feb 2018 - 24 Jun 2018

Description

This course deals with techniques in multivariable calculus and vector calculus which have applications in many areas of science, commerce and engineering. It is also preparation for many courses in advanced mathematics.

This course forms the final part of the core mathematics sequence MATH102 - MATH103 - MATH201. It covers techniques in multivariable calculus and vector calculus and interesting applications in many areas of science, commerce and engineering. It is required for all Math majors, and is the foundation for students who want to proceed to study more advanced topics in mathematics.

Topics covered: geometry of multivariable functions, partial derivatives, linearisation, multivariate chain rule, implicit function theorem; multivariate optimisation, sufficient conditions for optimality, Lagrange multipliers for optimisation problems; iterated integrals, polar coordinates; Jacobian determinants; parametric curves, tangent vectors, line integrals, work integrals; div, grad, curl; surface integrals; volume integrals; Green's Theorem; Stokes Theorem; Divergence Theorem; physical applications.

Learning Outcomes

At the end of the course, students will:

  • be proficient in the basic techniques of multivariable calculus: linearization, use of chain rule, multivariable integration (in several coordinate systems), evaluation of line integrals, work integrals, surface and volume integrals.
  • apply their understanding of multivariate geometry to express and solve vector calculus problems using suitable notation and theorems.
  • be able to use calculus methods and/or MAPLE to solve standard applied problems
  • have developed problem solving skills both as part of a team and as an individual
  • have developed written and oral communication skills, emphasizing the ability to explain what the mathematics means

Pre-requisites

Restrictions

MATH261, MATH264, EMTH202, EMTH204, EMTH210

Timetable 2018

Students must attend one activity from each section.

Lecture A
Activity Day Time Location Weeks
01 Thursday 13:00 - 14:00 C2 Lecture Theatre 19 Feb - 1 Apr
23 Apr - 3 Jun
Lecture B
Activity Day Time Location Weeks
01 Monday 08:00 - 09:00 C3 Lecture Theatre 19 Feb - 1 Apr
23 Apr - 3 Jun
Lecture C
Activity Day Time Location Weeks
01 Tuesday 15:00 - 16:00 A2 Lecture Theatre 19 Feb - 1 Apr
23 Apr - 3 Jun
Tutorial A
Activity Day Time Location Weeks
01 Tuesday 11:00 - 12:00 West 213A 26 Feb - 1 Apr
23 Apr - 3 Jun
02 Monday 17:00 - 18:00 Ernest Rutherford 260 26 Feb - 1 Apr
23 Apr - 3 Jun
03 Tuesday 11:00 - 12:00 Jack Erskine 242 26 Feb - 1 Apr
23 Apr - 3 Jun
04 Tuesday 12:00 - 13:00 Jack Erskine 239 26 Feb - 1 Apr
23 Apr - 3 Jun
05 Tuesday 11:00 - 12:00 Jack Erskine 241 26 Feb - 1 Apr
23 Apr - 3 Jun
06 Tuesday 12:00 - 13:00 West 213A 26 Feb - 1 Apr
23 Apr - 3 Jun

Course Coordinator / Lecturer

Ngin-Tee Koh

Lecturer

Geertrui Van de Voorde

Textbooks

Recommended Reading

Anton, Howard. , Bivens, Irl., Davis, Stephen; Calculus : early transcendentals; 9th ed; John Wiley, 2009 (or 10th edition).

Indicative Fees

Domestic fee $749.00

International fee $3,888.00

* Fees include New Zealand GST and do not include any programme level discount or additional course related expenses.

For further information see Mathematics and Statistics.

All MATH201 Occurrences

  • MATH201-18S1 (C) Semester One 2018