"As a seasoned tutor with a Bachelor of Science from the University of Minnesota, my expertise lies in guiding students through advanced mathematics and programming languages. I focus on helping students excel in AP Calculus (One, Two), college-level Calculus (One, Two, Differential Equations, Multivariable), and fostering a deep, comprehensive understanding of these subjects.

In Number Theory and Cryptography, I guide students through theoretical and practical aspects, including Applied Cryptography, Modular Arithmetic, Computer Security, and cryptographic algorithms like RSA, EL Gamal, Diffie Hellman, and Elliptic Curves. I aim to provide a complete understanding of how cryptographic tools are critical in securing digital communications.

My programming sessions, primarily in C++, cover topics from pointers and dynamic memory to advanced concepts like inheritance, templates, and data structures (Arrays/Strings, Linked Lists, Hash Tables, Stacks, Queues, Trees, Graphs). I emphasize scalable code, algorithm development, and practical testing environments. Additionally, I cover advanced C++ topics like design patterns, recursion, big-O, runtime analysis, and bit manipulation.

I also offer tutoring in Mathematical Logic, Numerical Analysis, and Linear Algebra, focusing on proofs, algorithmic methods, and matrix theory. I conduct sessions in R Studio for data science students, covering data analysis and statistical modeling. Additionally, I teach various programming languages, including C, SQL, Python, and Swift, catering to various interests and applications.

Since 2014, my teaching approach, honed at Mathnasium and as a computer science teaching assistant, focuses on cultivating problem-solving skills, discipline, and responsibility. At "Mapping Our Thoughts," I create tools that supplement and reinforce these fundamental principles in our tutoring lessons.

Contact me for focused, expert tutoring in these challenging subjects. Together, let's elevate your understanding and skills." less...