MATH415-22S2 (C) Semester Two 2022

Numerical Analysis

15 points

Details:
Start Date: Monday, 18 July 2022
End Date: Sunday, 13 November 2022
Withdrawal Dates
Last Day to withdraw from this course:
  • Without financial penalty (full fee refund): Sunday, 31 July 2022
  • Without academic penalty (including no fee refund): Sunday, 2 October 2022

Description

Numerical Analysis

Numerical Analysis is the area of mathematics that constructs and analyses algorithms in order to approximate solutions to mathematical problems.  This is a broad mathematical field that includes (among others):
• Approximation theory.
• Optimization.
• Numerical approximation of Differential Equations.
In this course, we will study the numerical approximation of solutions to Partial Differential Equations.

The course has a good combination of analytical techniques and practical work. Implementation of the numerical methods will be done in the weekly labs and two large assignments.

No previous knowledge of PDE's is necessary but is highly recommended. The course is self-contained and it can be taken as a first course in Numerical Analysis.

Learning Outcomes

  • Investigate the mathematical properties of the algorithms (numerical methods), such as:
    o Stability
    o Consistency
    o Convergence
  • Learn how to validate your algorithms and results through the computational implementation of test problems.
  • Use numerical methods to solve real-world problems.
  • Enhance mathematical communication skills through weekly written reports and assignments.

Prerequisites

Subject to approval of the Head of School.

Timetable 2022

Students must attend one activity from each section.

Lecture A
Activity Day Time Location Weeks
01 Monday 11:00 - 12:00 Jack Erskine 505
18 Jul - 28 Aug
12 Sep - 23 Oct
Lecture B
Activity Day Time Location Weeks
01 Thursday 11:00 - 12:00 Jack Erskine 505
18 Jul - 28 Aug
12 Sep - 23 Oct
Computer Lab A
Activity Day Time Location Weeks
01 Friday 11:00 - 12:00 Jack Erskine 436 Computer Lab
18 Jul - 28 Aug
12 Sep - 23 Oct

Course Coordinator / Lecturer

Miguel Moyers Gonzalez

Indicative Fees

Domestic fee $1,017.00

* 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 MATH415 Occurrences

  • MATH415-22S2 (C) Semester Two 2022