I'm a college professor with 25+ years of experience teaching mathematics and computer programming. My favorite subjects include precalculus, calculus, linear algebra, optimization and numerical analysis.

I believe the only way to learn mathematics or computer programming is by working through many exercises and problems. There's no way around this. It doesn't matter how well a lecture is presented or how good the teacher is. If you don't do the work yourself, you'll probably not succeed. I also think there's a fear factor involving math. Most students think it is a difficult subject and fear they will do badly. This creates an additional barrier for the student to succeed.

Based on this ideas, when I tutor I try to achieve the following:

1. Create a relaxed atmosphere in which to work. Humor is a big part of this.

2. Help the student overcome their fear of the subject.

3. Identify the strengths and weaknesses of the students.

4. Ask them to work through problems that test or challenge their weaknesses.

5. Also suggest problems that play to their strengths in order to build up their confidence.

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Bernardo's subjects

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Discrete Math

I took a course on Discrete Mathematics as part of my distributed minor when pursuing a Ph.D. in Computer Sciences. During my teaching career I've taught an equivalent course, Computational Mathematics, several times. I've also covered some of the topics of this subject within other courses, such as Network Flows, Calculus and Scientific Computing.

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Linear Algebra

I've taught Linear Algebra courses more than 8 times during my career. I've also applied the techniques an concepts in the subject to many other courses, such as Linear Programming, Numerical Analysis, and other Optimization courses.

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MATLAB

I taught a course in MATLAB programming for Scientific Computing several times. Most of the Optimization courses I taught for more than 20 years required students to submit computational projects written in MATLAB. Together with a student of mine, I developed GNUOflox, an open source teaching tool for Network Flows, completely written in MATLAB/Octave.

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