Math and Science Solutions for Businesses/Math - Self Study.

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Question
Hello,
  I am about 25 years or so since graduating with an MBA (BA in Philosophy, though started our engineering).  Myself and associated realized while helping our kids out with math homework (high school and college) that we had forgotten nearly everything. (We both took and passed Calc I & II in college ages ago.) So we decided to sit down and re-learn math from the ground up.  We are basing our self study program around the Chalk Dust & Great Courses video lectures and using the Demystified Series as a textbook.   We are also using Bagatrix to help as a tutor.
  My question is order of study.
  Here is what we are thinking and please tell me if we are in err.
  Thank you in advance.

  Pre-Algebra
  High School Algebra
  College Algebra
  Geometry (High School-College)
  Trig
  Pre-Calc
  Statistics
  Calculus.

  We are figuring about 8 weeks per level with about 6-10hours of study a week individually and 4 hours a week together and making up tests for one another.
   
  Any input is appreciated.

Answer
I think I might put Geometry before College algebra since it contains more core math-related concepts (Definitions/Axioms -->Lemmas -->  Proofs) that will help condition your mathematical thinking. Geometry is also very visual and can be a little easier to use with abstract concepts. Although directly transitioning from Geometry to Trig may seem logical, Trig is used (IHMO) largely to support algebraic manipulations. So I think a good grounding in Geometry followed by advanced algebra is a more useful progression to Trig.

Good luck!

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Randy Patton

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Questions regarding application of mathematical techniques and knowledge of physics and engineering principles to product and services design, optimization, prediction, feasibility and implementation. Examples include sales and product performance projections based on math/physics models in addition to standard regression; practical and cost effective sensor design and component configuration; optimal resource allocation using common tools (eg., MS Office); advanced data analysis techniques and implementation; simulation and "what if" analysis; and innovative applications of remote sensing.

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26 years as professional physical scientist and project manager for elite research company providing academic quality basic and applied research for government and defense industry clients (currently retired). Projects I have been involved in include: - Notional sensor performance predictions for detecting underwater phenomena - Designing and testing guidance algorithms for multi-component system - Statistical analysis of ship tracking data and development of anomaly detector - Deployed vibration sensors in Arctic ice floes; analysis of data - Developed and tested ocean optical instrument to measure particles - Field testing of protoype sonar system - Analysis of synthetic aperture radar system data for ocean surface measurements - Redesigned dust shelters for greeters at Burning Man Festival Project management with responsibility for allocation and monitoriing of staff and equipment resources.

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“A Numerical Model for Low-Frequency Equatorial Dynamics” (with Mark A. Cane), J. of Phys. Oceanogr., 14, No. 12, pp. 18531863, December 1984.

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MIT, MS Physical Oceanography, 1981 UC Berkeley, BS Applied Math, 1976

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