My name is David U., but many just know me as Dave the Math Tutor. I've been a professional math tutor for over 30 years, and I can help you make sense of anything mathematical, from elementary arithmetic to pre-algebra, algebra, geometry, trigonometry, pre-calculus, calculus, differential equations, linear algebra, statistics, probability, number theory, and more, including test prep for tests like the ACT, SAT, CBEST, CSET, GMAT, and GRE. With me you can learn to master the basics, then b... [more]
Discrete math includes topics such as summation with sigma notation, mathematical induction (both weak and strong), combinatorics, and graph theory. These are all subjects I have studied extensively in a variety of settings: in courses I took on the way to receiving my bachelor's degree in math, in my work over the past 30+ years tutoring students who were dealing with these topics in their courses, and privately just for my own pleasure. I have already enjoyed considerable success tutoring these topics outside the WyzAnt system, and I am eminently qualified to pursue these topics with WyzAnt students as well.
I look at differential equations as a game, and that's how I teach it: This is the objective, these are the rules, here are some helpful tricks you can use. This approach certainly worked well for me in my own studies; when I took a course in differential equations on my way to earning the degree I hold (a B.A. in Math), I understood the material so well that I scored 100% on every exam, including the final. Likewise this way of looking at differential equations seems to have worked well for the dozens of differential equations students I have tutored over the past 25 years. A good many of them have enjoyed excellent outcomes, mastering the material well and achieving high grades in their courses. It worked for them, and it can work for you too. Treating differential equations as a game makes it fun and easy!
The CBEST is an exam that's not very difficult. The math it requires is mostly just standard algebra and geometry. Any decent math tutor is sufficiently knowledgeable to tutor for this test. In my case, I have 30 years of experience in tutoring not only algebra and geometry, but also trigonometry, calculus, differential equations, statistics, number theory, and more. I have also tutored specifically for the CBEST on a number of occasions. I am highly qualified to tutor students needing help in preparing for the CBEST exam.
A linear algebra course typically begins by considering matrices as a tool for solving systems of linear equations, which is a fairly mechanical process, and then progresses to the very abstract realm of vector spaces, in which a "vector" need not involve numbers at all, and "addition" and "multiplication" may be defined as something completely different from the familiar arithmetic operations we've used all our lives. Working with this latter type of problem requires thinking outside the box. That's something I'm good at, which is why I was able to sail through the three Linear Algebra courses I took on the way to obtaining my B.A. in Math, earning A's in all three of them. I've had a good deal of success as well in helping my own Linear Algebra students master these skills, during the 25 years or so that I've included that subject in my work as a professional math tutor. Both aspects of Linear Algebra, the more mechanical operations and the more abstract problems, are important. Both by my academic training and through my accumulated experience as a tutor, I am well qualified to help students achieve mastery in this fascinating yet sometimes challenging subject.
I have been a professional math tutor for more than 30 years, and in that time I have tutored a number of students in the area of Symbolic Logic; currently I am in the process of writing an Introduction to Symbolic Logic. Logic has always come very naturally to me; I began studying it when I was 12 years old (which was a long time ago!). In the course of pursuing my bachelor's degree in Mathematics, I took (and earned A's in) two separate courses in Logic, one offered by the Math department and the other by the Philosophy department. Some of the topics covered in those courses were: Logical statements and truth values; negation; conjunction, disjunction, and implication; truth tables; De Morgan's Laws; syllogisms; conditional statements and the inverse, converse, and contrapositive; proof by contradiction (a/k/a indirect proof, reductio ad absurdum); logical equivalence and the biconditional; proof via truth tables; tautology; contradiction; and paradox (including the Liar Paradox and Russell's Paradox). I am well qualified to teach all these topics, and more.