MATH201-21S1 (C) Semester One 2021

Multivariable Calculus

15 points

Details:
Start Date: Monday, 22 February 2021
End Date: Sunday, 27 June 2021
Withdrawal Dates
Last Day to withdraw from this course:
  • Without financial penalty (full fee refund): Sunday, 7 March 2021
  • Without academic penalty (including no fee refund): Friday, 14 May 2021

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 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 2021

Students must attend one activity from each section.

Lecture A
Activity Day Time Location Weeks
01 Tuesday 14:00 - 15:00 Meremere 108 Lecture Theatre
22 Feb - 4 Apr
26 Apr - 6 Jun
Lecture B
Activity Day Time Location Weeks
01 Wednesday 13:00 - 14:00 A3 Lecture Theatre
22 Feb - 4 Apr
26 Apr - 6 Jun
Lecture C
Activity Day Time Location Weeks
01 Friday 08:00 - 09:00 A3 Lecture Theatre
22 Feb - 28 Mar
26 Apr - 6 Jun
Tutorial A
Activity Day Time Location Weeks
01 Monday 11:00 - 12:00 Meremere 409
1 Mar - 4 Apr
3 May - 6 Jun
02 Tuesday 11:00 - 12:00 Beatrice Tinsley 112
1 Mar - 4 Apr
26 Apr - 6 Jun
03 Wednesday 10:00 - 11:00 Psychology - Sociology 307
1 Mar - 4 Apr
26 Apr - 6 Jun
04 Friday 12:00 - 13:00 James Logie 105
1 Mar - 28 Mar
26 Apr - 6 Jun
05 Monday 14:00 - 15:00 Psychology - Sociology 307
1 Mar - 4 Apr
3 May - 6 Jun
06 Tuesday 15:00 - 16:00 James Logie 105
1 Mar - 4 Apr
26 Apr - 6 Jun
07 Friday 12:00 - 13:00 Jack Erskine 244
1 Mar - 28 Mar
26 Apr - 6 Jun

Examination and Formal Tests

Test A
Activity Day Time Location Weeks
01 Thursday 18:30 - 19:30 A1 Lecture Theatre
29 Mar - 4 Apr

Course Coordinator / Lecturer

Gunter Steinke

Lecturer

Ngin-Tee Koh

Assessment

Assessment Due Date Percentage 
Homework assignments 25%
Test 25%
Final examination 50%

Indicative Fees

Domestic fee $788.00

International fee $4,438.00

* All fees are inclusive of NZ GST or any equivalent overseas tax, and do not include any programme level discount or additional course-related expenses.

For further information see Mathematics and Statistics.

All MATH201 Occurrences

  • MATH201-21S1 (C) Semester One 2021