Hi, I'm Kamlapati
After forty years of working as an electrical engineer in the semiconductor industry, I’m now working full time tutoring high school students in physics and calculus. I consider myself very fortunate to have the opportunity to work with these young leaders of the future. They enrich my life, and I get to share my love of math and science with them. I am appreciative of AJ Tutoring for giving me this opportunity. At AJ, I’m also the department head for our group of calculus tutors, making sure everyone has the resources they need to be a good tutor and to help make us a team.
My Programming and Math
Unbelievably, I’ve been programming since 1968! At AJ I teach an occasional intro to Python class, and some intro to data science along with my math and physics. Since the time I started programming in high school I have learned a heckuva lot of computer languages but I only stay fluent in what I’m using now, and currently that’s whatever helps me do math, physics or data science problems.
I do a lot of my math with my computer. It’s a great way to check your work or to investigate new ideas. If I get a challenging problem from a student, or perhaps just a problem I need to brush up on, I’ll make a document or presentation for them. I love the CoCalc development environment and web service, a system designed for mathematicians, scientists, and data scientists. I use it as a Computer Algebra System (Sage), a development environment (Python & R), and a document server (LaTeX).
Power Series - A LaTeX write up for my Calc BC students.
Parametric and Polar Equations - A reference / cheat sheet for calculus.
Probability with Counting and Binomial Theorem - This one is cool because it intersperses markdown, LaTeX, and real computation using SageMath and Jupyter Notebooks.
Vector Fields - This is a saved Jupyter Notebook, using the SageMath kernel, with some fancy graphics. Scroll down a bit to the 3-D figures, and in most browsers you will be able to zoom and rotate them.
Volumes of Revolution - A classic problem for calculus students. Check out the interactive 3-D figures!
Wine Study - A little R / data science project I did with some of my students.
Merge - A little Python sort for beginning CS students.
Orbital Motion Simulation - A problem inspired by my calc/physics students who asked about linear approximations. I tried to keep to object oriented methods. My takeaway is that Newton developed calculus to solve these problems because he didn't have a computer! The figure at the top of this section is an output.
If you'd just like to play with a Computer Algebra System, I suggest SageMathCell.
GeoGebra is an open source project aimed at students and teachers. It provides the best mathematical graphing tools as well as a fairly complete CAS and scripting language. The documentation is great if you’re a beginner, and the capability is exhaustive if you’re an advanced user.
Both CoCalc and GeoGebra are open source, and that is very important to me. I have been an open source advocate since I first stumbled on the GNU project in the 80's, and have been GNU/Linux user since 1999. When you use software that is not open source it frequently feels like you don’t fully own the system, like it does things that you didn’t ask. I want full control over my computers, I want to control my own privacy and security, and I want choice over the tools that I use.
I hate arguing over the best Linux distros, but for personal use I like Ubuntu for it’s huge repository and sensible security updates. It's easy to try out and become a better informed computer / internet user.