MATH201-24S1 (C) Semester One 2024

Multivariable Calculus

15 points

Details:
Start Date: Monday, 19 February 2024
End Date: Sunday, 23 June 2024
Withdrawal Dates
Last Day to withdraw from this course:
  • Without financial penalty (full fee refund): Sunday, 3 March 2024
  • Without academic penalty (including no fee refund): Sunday, 12 May 2024

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 covers techniques in multivariable calculus and vector calculus and interesting applications in many areas of science, commerce and engineering. It is useful for all Math majors, and 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

  • Students successfully completing this course should:
  • be proficient in the basic techniques of multivariable calculus.
  • be able to use calculus methods to solve standard applied problems and to apply their understanding of multivariate geometry to express and solve vector calculus problems.
  • Have developed problem solving skills both as part of a team and as an individual.
    • University Graduate Attributes

      This course will provide students with an opportunity to develop the Graduate Attributes specified below:

      Critically competent in a core academic discipline of their award

      Students know and can critically evaluate and, where applicable, apply this knowledge to topics/issues within their majoring subject.

Prerequisites

Restrictions

MATH261, MATH264, EMTH202, EMTH204, EMTH210

Timetable 2024

Students must attend one activity from each section.

Lecture A
Activity Day Time Location Weeks
01 Monday 12:00 - 13:00 E9 Lecture Theatre
19 Feb - 31 Mar
22 Apr - 2 Jun
Lecture B
Activity Day Time Location Weeks
01 Tuesday 12:00 - 13:00 E9 Lecture Theatre
19 Feb - 31 Mar
22 Apr - 2 Jun
Lecture C
Activity Day Time Location Weeks
01 Thursday 13:00 - 14:00 A3 Lecture Theatre
19 Feb - 31 Mar
22 Apr - 2 Jun
Tutorial A
Activity Day Time Location Weeks
01 Wednesday 15:00 - 16:00 E13
26 Feb - 31 Mar
22 Apr - 2 Jun
02 Thursday 09:00 - 10:00 Jane Soons 603
26 Feb - 31 Mar
22 Apr - 2 Jun
03 Wednesday 16:00 - 17:00 Jack Erskine 240
26 Feb - 31 Mar
22 Apr - 2 Jun
04 Thursday 12:00 - 13:00 Jack Erskine 241
26 Feb - 31 Mar
22 Apr - 2 Jun
05 Wednesday 12:00 - 13:00 Jane Soons 603
26 Feb - 31 Mar
22 Apr - 2 Jun
06 Thursday 14:00 - 15:00 E13
26 Feb - 31 Mar
22 Apr - 2 Jun
07 Wednesday 17:00 - 18:00 Jack Erskine 241
26 Feb - 31 Mar
22 Apr - 2 Jun
08 Wednesday 13:00 - 14:00 Jack Erskine 239
26 Feb - 31 Mar
22 Apr - 2 Jun
09 Wednesday 14:00 - 15:00 E13
26 Feb - 31 Mar
22 Apr - 2 Jun

Examination and Formal Tests

Test A
Activity Day Time Location Weeks
01 Monday 19:00 - 20:00 Meremere 108 Lecture Theatre
25 Mar - 31 Mar
02 Monday 19:00 - 20:00 E6 Lecture Theatre
25 Mar - 31 Mar
03 Monday 19:00 - 20:00 Meremere 105 Lecture Theatre
25 Mar - 31 Mar

Course Coordinator

Ngin-Tee Koh

Lecturer

Felipe Voloch

Assessment

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

Textbooks / Resources

Recommended Reading

Stewart, James; Calculus : early transcendentals ; Eighth edition; Cengage Learning, 2016 (Earlier editions of the text are also suitable).

Indicative Fees

Domestic fee $847.00

International fee $4,988.00

* 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

  • MATH201-24S1 (C) Semester One 2024