MATH415-25S2 (C) Semester Two 2025

Numerical Analysis

15 points

Details:
Start Date: Monday, 14 July 2025
End Date: Sunday, 9 November 2025
Withdrawal Dates
Last Day to withdraw from this course:
  • Without financial penalty (full fee refund): Sunday, 27 July 2025
  • Without academic penalty (including no fee refund): Sunday, 28 September 2025

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 2025

Students must attend one activity from each section.

Lecture A
Activity Day Time Location Weeks
01 Monday 15:00 - 16:00 Jack Erskine 240
14 Jul - 24 Aug
8 Sep - 19 Oct
Lecture B
Activity Day Time Location Weeks
01 Friday 10:00 - 11:00 Meremere 105 Lecture Theatre
14 Jul - 24 Aug
8 Sep - 19 Oct
Computer Lab A
Activity Day Time Location Weeks
01 Thursday 10:00 - 11:00 Jack Erskine 010 Computer Lab
14 Jul - 24 Aug
8 Sep - 19 Oct

Course Coordinator

Miguel Moyers Gonzalez

Indicative Fees

Domestic fee $1,138.00

* 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 .

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  • MATH415-25S2 (C) Semester Two 2025
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