$40/hour

5.0
average from
1
ratings

I received a Ph.D. in mathematics from UC Santa Cruz in 1989. Since then, I have worked both in industry and in academia, and I have taught college courses in intermediate algebra, college algebra, trigonometry, calculus, linear algebra, abstract algebra, ordinary and partial differential equations, real and complex analysis, probability and

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Math:

Science:

Physical Science, Physics
Test Preparation:

Computer:

Mathematica
Approved subjects are in **bold**.

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I have a PhD in mathematics and extensive research and teaching experience in both academia and industry. Calculus is a fundamental tool and prerequisite for both the research I do and the subjects I have taught and continue to tutor. I have also taught calculus at the college level.

My area of expertise is differential geometry, in which differential equations play a fundamental role. Aspects of both ODE's and PDE's are to be found in several of my publications. In addition, I have completed graduate level course work in this subject, and I have taught introductory differential equations from "Elementary Differential Equations" by William E. Boyce and Richard C. DiPrima.

Discrete mathematics comprises topics at the core of mathematics and computer science, including: set theory and logic, functions and relations, algorithms, techniques of counting, probability, and graph theory. I have a PhD in mathematics and have tutored various aspects of algebra and other subjects at the college and graduate level. I have also been involved in the past year in curriculum development that covers exactly the topics mentioned above. I therefore have recent experience and in-depth knowledge of this subject matter.

Geometry is my specialization and it is of great interest to me.

I have taught introductory linear algebra several times from "Linear Algebra with Applications" by Steven J. Leon. More recently, I have tutored this subject at the graduate level from the books "Matrix Analysis" by Roger A. Horn and Charles R. Johnson, and "The Linear Algebra a Beginning Graduate Student Ought to Know" by Jonathan S. Golan.

I have used Mathematica off and on for over 20 years in academic and industry related research. This includes using Mathematica for algorithm prototyping and the creation of publication quality graphics. I have also used it for creating course content and checking calculations (such as contour integrals) that I often do by hand. I wrote a package to generate solid models of minimal surfaces.

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PhD Tutor in Mathematics