Hello. I am a lifelong learner of math and science who likes to connect the dots, and I would like to share what I have learned. I have taught algebra and trigonometry in college. I have also tutored high school and college algebra, calculus, and everything in between for several years, plus linear algebra and differential equations. I graduated from UC Berkeley with a bachelor's in math and a minor in physics. I was not always interested in math, but I was always interested in science. When I took physics in high school, my motivation and grades in math improved dramatically. I also did very well in chemistry, and when I learned the connection among molecular structure, the Periodic Table, atomic orbitals, and differential equations, I was stoked. Majoring in math gave me the strong foundation I needed to make such a connection. While my learning, tutoring, and teaching style stresses fundamentals, I am also interested in what motivates you to succeed.

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Jonathan's subjects

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Differential Equations

I took Linear Algebra & Differential Equations, a core lower-division course for the math major at Berkeley. Therein I learned how to solve linear differential equations and Fourier series in the context of linear algebra -- functions as vectors, differential operators on function spaces, and the integral of a product of functions as an inner product. Then I took an upper-division Ordinary Differential Equations course, learning techniques to solve linear and nonlinear ODEs. Later, at Cal State...
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Linear Algebra

I took Linear Algebra & Differential Equations, a core lower-division course for the math major at Berkeley. Therein I learned about real and complex vector spaces axiomatically, solving linear differential equations, and Fourier series. Then I took Linear Algebra, the core upper-division course. Therein I learned about vector spaces over an abstract scalar field. Then I was a math TA at Oregon State University and tutored for many different courses, including Linear Algebra.

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MATLAB

I used MATLAB when I took Signals & Systems at Oregon State University. In one lab I deblurred an image taken by a moving camera. In another lab I authenticated a digital photo by extracting a sound wave from the digital watermark and playing it. I continued to use MATLAB when studying digital signal processing and digital communications.

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