All of
Jon’s current tutoring subjects are listed at the left. You
can read more about
Jon’s qualifications in specific subjects below.
Algebra 2
My background allows me to help you or your child with Algebra 2:
1) I have an advanced background in mathematics, which includes full proficiency in calculus, differential equations and numerical analysis (at a graduate level.)
2) My degrees and professional experience in mechanical engineering have given me practical problem solving insights that allow me to help the student solve difficult or "tricky" Algebra 2 problems. Most students know the math, but need to learn how to intuitively apply it!
3) My broad high school math teaching experience (8th grade through 12th grade, including Algebra 2) and one-on-one tutoring have given me the ability to effectively teach any level of high school math.
Algebra 2, usually taught in the 9th or 10th grade, is an important math course for the college-bound student to master, since all higher-level high school math and college courses build upon the advanced principles and techniques taught in Algebra 2. I will help you or your child learn Algebra 2!
Calculus
My background allows me to help you or your child with calculus:
1) I have an advanced background in mathematics, which includes full proficiency in calculus, differential equations and numerical analysis (at a graduate level.)
2) My degrees and professional experience in mechanical engineering have given me practical problem solving insights that allow me to help the student solve difficult or "tricky" calculus problems. Most students learn the math principles, but need to learn how to intuitively apply them!
3) My broad high school math teaching experience (8th grade through 12th grade, including Advanced Math/Precalculus and high school calculus) and one-on-one tutoring have given me the ability to effectively teach any level of high school and college level math up to and including calculus.
Calculus, which is taught to advanced (usually highly-gifted) high school students and in college, is necessary for engineering, science and mathematics degrees, and for students seeking other degrees which also require calculus or simply wishing to be well-rounded. Let me help you or your child to not only learn, but to become fully proficient in calculus!
Chemical Engineering
Although I am a Ph.D. mechanical engineer, I have significant chemical engineering education and experience: a chemical engineering minor for my Master's degree, and a chemical engineering supporting for my Ph.D.
My Ph.D. thesis involved the analysis of several thermochemical dissociation processes, which required solving a complex chemical equilibrium, and modeling heat exchangers with flowing chemicals.
Degrees and work experience:
B.S., Mech. Eng., Univ. of Minnesota (1977)
M.S., Mech. Eng., ***Minor Chemical Engineering***, Univ. of Minnesota (1979)
Ph.D., Mech. Eng., ***Supporting Chemical Engineering***, Univ. of Minnesota (1981)
For all three degrees, the areas of graduate-level education included heat transfer (conduction, convection and radiation), thermodynamics, thermochemistry, chemical engineering fundamentals, solar energy conversion, numerical analysis and computer modeling. The title of my Ph.D. thesis was "High Temperature Thermal Dissociation Processes."
I worked as a mechanical engineer/staff scientist for the following DOE National Laboratories, and a number of projects involved chemical equilibrium and kinetics, and thermochemically-driven energy conversion systems:
Sandia National Laboratories Sandia (1981 to 1984)
Lawrence Berkeley Laboratory (1985-1990)
Lawrence Livermore National Laboratory (1990-1995)
Differential Equations
I am very familiar with ordinary and partial differential equations, having passed college-level courses in calculus, differential equations, and numerical analysis (which covers numerical techniques to solve ordinary and partial differential equations.) As a mechanical engineering student, various classes solved ordinary and partial differential equations as part of the curriculum, such as the Heat Equation in three dimensions for graduate level heat transfer courses. As a scientist at three DOE National Laboratories, I analytically and numerically solved ordinary and partial differential equations for various research purposes, such as the complex analytic solution (verified by comparing the analytic results with a numerical solution) of radon flow into the basement of a dwelling, expressed using a second order partial differential equation in three dimensions.
Mechanical Engineering
I am a degreed Mechanical Engineer:
BS, Mech. Eng., Univ. of Minnesota (1977)
MS, Mech. Eng., Univ. of Minnesota (1979)
PhD, Mech. Eng., Univ. of Minnesota (1981)
For all three degrees, the areas of graduate-level specialty include heat transfer (conduction, convection and radiation), thermodynamics, thermochemistry, solar energy conversion, numerical analysis and computer modeling. The title of my Ph.D. thesis is "High Temperature Thermal Dissociation Processes."
I worked as a mechanical engineer/staff scientist for the following DOE National Laboratories:
Sandia National Laboratories Sandia (1981 to 1984)
Lawrence Berkeley Laboratory (1985-1990)
Lawrence Livermore National Laboratory (1990-1995)
Precalculus
My background allows me to help you or your child with Precalculus:
1) I have an advanced background in mathematics, which includes full proficiency in calculus, differential equations and numerical analysis (at a graduate level.)
2) My degrees and professional experience in mechanical engineering have given me practical problem solving insights that allow me to help the student solve difficult or "tricky" Precalculus problems. Most students learn the math principles, but need to learn how to intuitively apply them!
3) My broad high school math teaching experience (8th grade through 12th grade, including high-school Precalculus) and one-on-one tutoring have given me the ability to effectively teach any level of high school math, and college level math up to and including calculus.
Precalculus, usually taught in the 11th or 12th grade in high school, or in college, is a necessary math course to prepare the student for high school or college calculus. I will help you or your child learn Precalculus, and to prepare for the rigors of calculus!
Trigonometry
My background allows me to help you or your child with Trigonometry:
1) I have an advanced background in mathematics, which includes full proficiency in calculus, differential equations and numerical analysis (at a graduate level.)
2) My degrees and professional experience in mechanical engineering have given me practical problem solving insights that allow me to help the student solve difficult or "tricky" trigonometric problems. Most students learn the math principles, but need to learn how to intuitively apply them!
3) My broad high school math teaching experience (8th grade through 12th grade, including high-school Algebra 2 and Advanced Math/Precalculus which covers Trigonometry) and one-on-one tutoring have given me the ability to effectively teach any level of high school math, and college level math up to and including calculus.
Trigonometry, which is occasionally taught as a stand-alone course in high school and as an introductory course in college (to prepare the student for calculus) is usually covered in high school Algebra 2/Advanced Math/Precalculus, and in college algebra, is a necessary math course to prepare the student for high school or college calculus. I will help you or your child learn Trigonometry!