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Mini-Course Description:
M185: Numerical Computation in Mathematica


Course Objective
This course will provide participants with a deeper understanding of the extensive numerical capabilities of Mathematica, with a focus on how to obtain results efficiently and how to gauge the quality of those results.

Presenter
The course is presented by a Wolfram Research senior developer or a Wolfram Education Group certified instructor.

Target Audience
This course is intended for any people who use numerical approximations in their work.

Delivery Type
This mini-course consists of two independent sections, M185A and M185B. Each section is three to four hours long. Attendees may take one or both of these sections in any order they wish. Additional online training information is available.

Syllabus

M185A: Numerical Computation: Numbers, Vectors, and Matrices

Exact and approximate numbers and operations on them

  • Propagation of error
  • Precision, accuracy, and automatic error tracking

Working effectively with vectors and matrices in Mathematica

  • Listable operations
  • Numerical linear algebra
  • Sparse representations
  • Programming with vectors for efficiency

M185B: Numerical Computation: Numerical Functions and Operations

Overview of numerical operations with functions

  • Numerical integration
  • Finding roots numerically
  • Numerical optimization
  • Numerical solutions of differential equations

Advanced aspects of numerical operations with functions

  • Methods of error estimation and control
  • Specifying error tolerances
  • Monitoring algorithms
  • Function evaluation semantics

Course Materials
Each attendee will be pointed to a download site to retrieve a set of Mathematica notebooks containing the course lectures, exercises, and additional course materials.

Course Materials
Each attendee will be provided with Mathematica course notebooks and access to the current version of Mathematica. The course notebooks require Mathematica or Mathematica Player. For attendees participating in classroom-based sessions, course materials are distributed in print and on CD-ROM, and are yours to keep; a computer running Mathematica is available for your use during class. For attendees participating in online classes, a download of the course materials is provided; a temporary Mathematica training license is provided upon request.

To sign up for this course, see the training calendar and registration page.



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