Harrison Kmiec
Private Mathematics Tutor for all grades and skill levels. The goal is to promote consistent improvement and fun in the mathematical journey!
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Harrison Kmiec
Bachelors degree
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Each lesson is 55 min
50 lessons
20% off
/ lesson
30 lessons
15% off
/ lesson
20 lessons
10% off
/ lesson
10 lessons
5% off
/ lesson
5 lessons
-
/ lesson
1 lessons
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/ lesson
Harrison - Know your tutor
My name is Harrison Kmiec, and I am a private mathematics tutor situated in Chapel Hill, North Carolina. Regarding my educational background, I have a Bachelor's degree from UNC-Chapel Hill and majored in Mathematics, as well as Statistics and Analytics. I have been doing private mathematics tutoring for 3 years, and have tutored from elementary school all the way up to the undergraduate college level. Subjects within math that I tutor for include Algebra, Geometry, Calculus, and Probability. My style of tutoring/teaching focuses on using simple examples to build up the muscle memory for concepts and formulas, then using more complex examples to strengthen the students' flexibility on those very topics. My goal is to create a collaborative environment for math that communicates how fun math can be as a subject dedicated to problem-solving.
Harrison graduated from University of North Carolina at Chapel Hill
Specialities of your tutor
Advanced Placement (AP) Program (USA)
Mental Math
Practice Drills
Problem Solving
Learning Plans
Math Tricks and Hacks
Student types for classes
ADHD
ASD
Middle School students
College students
Anxiety or Stress Disorders
High School students
Learning Disabilities
Elementary School students
Home schooled
Class overview
My tutoring/teaching style focuses on addressing weak spots in students' fundamental understanding of the math they are learning in their courses, and keeping the students engaged once they have demonstrated a solid understanding of the current math concepts they are working on. I use simple examples to identify where a student does not fully grasp certain mathematical ideas, as well as to help them hone the missing skills to a comfortable level. Then, once the student shows consistency with the topics they are working on, I use complex examples to keep them engaged with the problem-solving aspect of math. My belief is that there is no need to "gamify" math because math is inherently very similar to a game. Math is akin to a puzzle or any activity where there is a defined end goal and you are given a base set of information to work with. After working with a lot of students over the years, I find that students naturally discover the fun in math as long as someone is there to ease the frustrating parts.
Harrison also teaches
Discrete Math
Elementary School Math
Geometry
High School Math
Linear Algebra
Middle School Math
Mathematics concepts taught by Harrison
The tutor and student reviewed calculus concepts including u-substitution for trigonometric and polynomial integrals, calculating areas between curves by integrating with respect to y, and finding inverse functions. They practiced problem-solving for each topic and discussed the importance of refreshing skills on inverse functions for future sessions.
U-Substitution for Integration
Areas Between Curves (Integrating with respect to y)
Finding Inverse Functions for Integration Bounds
The Tutor and Student worked on Calculus problems involving finding the area between curves, which included integration techniques, U-substitution, and trigonometric and logarithmic functions. They practiced identifying bounds and setting up integrals, with plans to continue these practice sessions twice a week.
Areas Between Curves: Integration Setup
U-Substitution in Integration
Integrating Trigonometric Functions
Logarithm Properties for Simplification
The session covered proving fields, including associativity, identity, and inverses for both addition and multiplication, commutativity, and the distributive property. The Student worked on exercise three, verifying if a set of numbers is a field. Exercise six was also started, related to proving the uniqueness of additive inverses in vector spaces. The student will send the textbook to the Tutor for future sessions.
Proving Associativity
Additive Identity and Inverses
Multiplicative Identity and Inverses
Vector Space Additive Inverse Uniqueness
Distributive Property
Fields: Definition and Properties
The session involved a review of calculus concepts, focusing on differentiation and integration techniques. The student practiced applying the chain rule, implicit differentiation, u-substitution, and the average value theorem to solve problems from a past midterm in preparation for the final exam. No specific homework was assigned, but the student was encouraged to continue practicing these concepts.
Chain Rule
Implicit Differentiation
Derivatives of Inverse Functions
U-Substitution for Integration
Even and Odd Functions in Definite Integrals
Average Value of a Function
Linear Approximation (Tangent Line Approximation)
Student reviewed and practiced applications of the Fundamental Theorem of Calculus, including evaluating definite integrals and finding total distance traveled. The session also covered average speed calculations and the Mean Value Theorem. The next steps include the student booking another session to prepare for their upcoming final exam.
Properties of Definite Integrals and Symmetry
Integration by Parts
U-Substitution (Reverse Chain Rule)
Average Speed
Total Distance vs. Displacement
Derivatives of Integrals with Chain Rule
Fundamental Theorem of Calculus
Teaching tools used by tutor
Graphing Tools
Practice worksheets
Lesson Planning Tools
Digital whiteboard
Visualization & Exploration
Interactive lessons
Open Q&A
Weekend lessons
Parent feedback
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