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Andrew G.

Mathematics Tutor -- All Levels

San Rafael, CA (94903)

Travel radius
10 miles
Hourly fee
$55.00
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Background Check Status for Andrew G.

Andrew G. passed a background check on 10/30/13. The check was ordered by another user through First Advantage. For more information, please review the background check information page.

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Andrew's Tutoring Subjects

Approved subjects are in bold.
Math:
Algebra 1
Algebra 2
Calculus
Differential Equations
Discrete Math
Geometry
Linear Algebra more »
Prealgebra
Precalculus
SAT Math
Statistics
Trigonometry
Science:
Physics
Homeschool:
Algebra 1
Algebra 2
Calculus
Geometry
Physics
Prealgebra
Precalculus
SAT Math
Statistics
Test Preparation:
SAT Math
Corporate Training:
Statistics

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All of Andrew’s current tutoring subjects are listed at the left. You can read more about Andrew’s qualifications in specific subjects below.

Linear Algebra

Dr. Andrew G. has a Ph.D. from Caltech in environmental engineering science with a minor in numerical methods. In addition he has over 30 years experience as a practicing atmospheric scientist and dispersion modeler.

The concepts of Linear Algebra are at the heart of (1) numerical methods (used to develop and evaluate solution techniques that are used by computers to solve large numerical systems such as finite element analyses), (2) numerical solutions of overdetermined systems (i.e., "least squares" which are used in atmospheric receptor modeling techniques such as the Chemical Mass Balance model), and (3) statistical models (correlation and multiple regression).

Dr. Gray's research in air pollution includes the use of meteorological and dispersion computer models which involve numerical solutions of large linear (and non-linear) systems. Dr. Gray has also worked with (and helped in the development of) receptor models such as the Chemical Mass Balance Model and other related multivariate factor-analysis techniques. In addition, he has developed computer programs for the efficient (and stable) solution of linear systems (using such methods as Gram-Schmidt orthogonalization).

Topics in Linear Algebra include:

* Systems of Equations and Matrices - Systems of Equations, Row-Echelon Form, Reduced Row-Echelon Form, Gaussian Elimination, Gauss-Jordan Elimination, Matrices, Matrix Arithmetic, Transpose, Inverse Matrices, LU-Decompositions.

* Determinants - The Determinant Function, Properties of Determinants, Method of Cofactors, Determinants by Row Reduction, Cramer's Rule.

* Euclidean N-space - Vectors, Vector Arithmetic, Norm, Dot Product, Cross Product, Projections, Euclidean N-space, Linear Transformations.

* Vector Spaces - Vector Space Axioms, Subspaces, Span, Linear Independence, Linear Dependence, Basis, Dimension, Null Space, Row Space, Column Space, Inner Product Spaces, Orthogonal/Orthonormal Basis, Least Squares, QR-Decomposition, Orthogonal Matrices.

* Eigenvalues and Eigenvectors - Eigenvalues and Eigenvectors, Eigenspaces, Diagonalization, Jordan Canonical Form.

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Email Andrew

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(ex: algebra, chemistry)
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Please describe how you heard about us.

Receive Responses From Additional Tutors

If selected, WyzAnt will ask interested tutors to contact you by email if they are able to help. A maximum of five different tutors will email you and none of your personal information, including your email address, will be released.

Approved Subjects

In most cases, tutors gain approval in a subject by passing a proficiency exam. For some subject areas, like music and art, tutors submit written requests to demonstrate their proficiency to potential students. If a tutor is interested but not yet certified in a subject, the subject will appear in non-bold font. Tutors need to be approved in a subject prior to beginning lessons.