MATH201-22S1 (D) Semester One 2022 (Distance)

# Multivariable Calculus

15 points

Details:
 Start Date: Monday, 21 February 2022 End Date: Sunday, 26 June 2022
Withdrawal Dates
Last Day to withdraw from this course:
• Without financial penalty (full fee refund): Sunday, 6 March 2022
• Without academic penalty (including no fee refund): Sunday, 15 May 2022

## 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 occurrence of the course is for approved online students only. On-campus students should enrol in the (C) occurrence of this course.

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

• 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.

## Restrictions

MATH261, MATH264, EMTH202, EMTH204, EMTH210

## Assessment

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

## Textbooks / Resources

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

## Notes

This occurrence of the course is for approved online students only. On-campus students should enrol in the (C) occurrence of this course.

## Indicative Fees

Domestic fee \$802.00

International fee \$4,563.00

* 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

• MATH201-22S1 (C) Semester One 2022
• MATH201-22S1 (D) Semester One 2022 (Distance)