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math390's Introduction

MATH390: Numerical Analysis

Spring 2018

Time: MWF 13:00 - 13:50

Room: B218

Instructor: Erin Kiley - [email protected] - github/bitbucket: emkiley - office: B105D, x5144, M 16:00-16:50, TR 13:00-13:50, W 15:00-15:50

Math Drop-In Help Center: Please see mcla.edu/mathcenter for opening times and schedules.

Topics of this course:

  • tools and utilities for this course, such as
    • the PhysMa Linux virtual machine, installing software packages
    • Linux command line
  • introduction to python notebooks and the Python programming language, plotting data and functions with python
  • symbolic computing with Sympy
  • numerical analysis
    • differentiating
    • integrating
    • differential equations
  • Newton-Raphson method
  • linear algebra and applications
  • data acquisition, analysis and visualization
  • statistical methods, such as
    • least-square fitting and higher-order moments
    • Monte-Carlo methods and related techniques
  • basic time series analysis
  • how can computational math & physics fail
  • emphasis on programming for the purpose of exploring mathematical constructions and data
  • examples and applications from physics

Grades:

  • 2 individual assignments (15%)
  • 2 group assignments (2-3 students, 10%)
  • midterm exam (25%)
  • final exam (50%)

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