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
Enroll after the free trial
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
-
/ 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
Learning Plans
Common Core State Standards - CCSS (USA)
Homework help
Math Tricks and Hacks
Practice Drills
Mental Math
Student types for classes
Learning Disabilities
ASD
Home schooled
Anxiety or Stress Disorders
College students
Middle School students
Elementary School students
ADHD
High School students
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
Algebra
Algebra 2
Arithmetic
Calculus
Calculus 2
Calculus 3
Flexible Scheduling
Allows 1h early scheduling
Allows 1h early rescheduling
Can wait for 20 mins after joining
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10 day Refund
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Free Tutor Swap
Mathematics concepts taught by Harrison
The class covered techniques for integrating rational functions using partial fraction decomposition and strategies for evaluating improper integrals. The student practiced solving problems involving these methods, and they discussed convergence tests and the application of L'Hôpital's rule for indeterminate forms in improper integrals.
Partial Fraction Decomposition
Integration of Irreducible Quadratics
Improper Integrals and Convergence Tests
L'Hôpital's Rule and Indeterminate Forms
The Student and Tutor worked through several calculus problems involving integration techniques. They practiced integration by parts, including a scenario requiring the technique to be applied twice, and explored strategies for solving trigonometric integrals, particularly those with even powers, using power-reducing formulas. The next session is planned to cover partial fractions and improper integrals.
Integration by Parts with Inverse Trig Functions
Trigonometric Integrals with Odd Powers
Trigonometric Integrals with Even Powers
Repeated Integration by Parts
The tutor guided the student through exercises on creating frequency charts, calculating statistical measures (mean, median, mode, range), and interpreting data from histograms and pie charts. The student practiced identifying data distributions and proportions, with plans to independently work on similar problems.
Histograms and Data Distribution
Pie Charts and Proportions
Measures of Central Tendency and Dispersion
Frequency Charts
The student and tutor worked on understanding and finding explicit formulas for sequences, which the student found challenging due to perceived guesswork. They practiced identifying patterns, analyzing numerators and denominators, and using recursive definitions, with the student showing improved comprehension by the session's end.
Manipulating Fractions and Exponents
Identifying Quadratic Sequences
Recursive vs. Explicit Formulas
Finding Explicit Formulas for Sequences
The student and tutor worked on problems involving improper integrals with infinite bounds and infinite discontinuities. They practiced applying limit techniques to evaluate these integrals and determine convergence or divergence, with a focus on integration by parts and integrals of trigonometric functions.
Improper Integrals with Infinite Bounds
Inverse Trigonometric Functions in Integrals
Integration by Parts with Improper Integrals
Improper Integrals with Infinite Discontinuities
The Student and Tutor worked through challenging calculus problems involving partial fraction decomposition with repeated and irreducible factors. They practiced integration techniques, including u-substitution and inverse trigonometric functions, and discussed the complexities of answer formatting for automated grading systems. The session concluded with setting up a problem with repeated quadratic factors.
Partial Fraction Decomposition with Irreducible Quadratics
Integration involving Inverse Trigonometric Functions
Strategic Splitting of Integrals
Handling Repeated and Quadratic Factors in Partial Fractions
Teaching tools used by tutor
Lesson Planning Tools
Graphing Tools
Visualization & Exploration
Digital whiteboard
Practice worksheets
Interactive lessons
Open Q&A
Weekend lessons
Parent feedback
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