Hello, I have been a college math instructor for more than 15 years (twice named Teacher of the Year by the student government association.) During this time, I have also been a professional tutor in my school's Learning Center. While I enjoy the challenge of classroom teaching, I have found that students often benefit most from the personalized, interactive nature of tutoring sessions. My educational background includes Masters degrees in mathematics and physics, as well as Ph.... [more]
Knowledge of calculus is key to to the study of many areas of higher math. Calculus also finds significant applications in engineering, as well physics, chemistry, and other physical sciences. Increasingly, the methods of calculus are proving useful in biology, business and economics, and other fields. My studies in math at the graduate and undergraduate level have given me an appreciation of calculus from the level of practical calculations to advanced theory. My background in physics has also made familiar with many of the applications of calculus. I have taught many levels of college calculus courses tailored to a variety of student audiences. In particular, I have taught standard calculus sequences for math, physical science and engineering majors, as well as courses for biology/pre-med students, and calculus for business and economics majors. I have had the opportunity to help many students find success in calculus in my capacity as a professional tutor in a university math lab, as well as through Wyzant.
In obtaining my BS and Master's degrees in mathematics, I took a number of courses that included the essential topics of discrete mathematics. These courses included logic, set theory, sequences, mathematical induction, number theory, combinatorics, probability and graph theory. As an instructor at Penn State Wilkes-Barre, I had the opportunity to teach discrete math several times. In addition, I also successfully tutored discrete math students in individual and group settings as a professional math tutor in the Learning Center at Penn State. I hope to have the chance to help you in discrete math.
In obtaining my Bachelor's degree in mathematics, I took the standard undergraduate course in ordinary differential equations. Partial differential equations were also included in one of my undergraduate advanced calculus courses. In addition, I learned many aspects of the theory of differential equations in various advanced undergraduate and graduate math courses. Differential equations finds some of its most significant applications in the field of physics, and I gained a knowledge of many of these applications in obtaining my B.S. and M.S. degrees in physics. I also taught an undergraduate course in differential equations at Binghamton University, and tutored many students in diff. eq. as a professional math tutor at Penn State Wilkes-Barre. I look forward to the opportunity to help you succeed in differential equations.
The understanding of the importance of the applications of linear algebra to many different fields has grown significantly in recent years. As a result, students in many different majors are now required to complete linear algebra courses. I completed the basic undergraduate linear algebra course (for math majors) while obtaining my Bachelor's degree in math. I also completed a graduate level linear algebra course. In addition, I have a good appreciation for the applications of linear algebra in science (particularly physics), engineering, and other fields. While at Penn State Wilkes-Barre, I taught an undergraduate linear algebra course (for engineering majors) several times, and also tutored many students in linear algebra while serving as a professional math tutor. I look forward to the opportunity to help you succeed in linear algebra.
In obtaining my BS in mathematics, I was required to complete a "transition to higher math" course. This course included the basic concepts of logic, stressing those necessary to do mathematical proofs. In completing my master's degree in math (Binghamton University), as well as in PhD courses I have taken at Penn State and Binghamton U, I have continued to put these concepts of logic into practice. In addition, I have taught many aspects of logic in college courses on Discrete Math (at Penn State Wilkes-Barre) and Finite Math (at Penn State University Park) These courses included basic propositional logic (truth tables, negations, logical equivalence, rules of inference), quantifiers, and applications. I hope to have the opportunity to help you in logic.
I have used the Mathematica computer algebra system throughout my career as a student and teacher. In particular, I used Mathematica extensively while completing my Master's thesis in physics. In this context, I wrote a number of Mathematica programs to model the behavior of solid state devices. As a teacher, I also use Mathematica (especially its graphical capabilities) to demonstrate concepts to some of my math classes.
In the course of obtaining my Bachelor's and Master's degrees in mathematics, I studied all the essential topics of finite mathematics. I also taught a finite math course at Penn State (University Park). In addition, I tutored many students in finite math while serving as a professional math tutor in the Learning Center at Penn State Wilkes-Barre. I would be glad to help you with finite math.
I have used R extensively as both a student and a teacher. In many of my graduate courses in mathematical statistics, I used basic R commands to carry out statistical analyses and produce common statistical graphs. In addition, I was required to write R programs to implement a number of advanced methods of estimation and hypothesis testing. I have also used R as a teacher to demonstrate various concepts and methods to my statistics classes.