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Lock in current prices for the summer and the beginning of the school year!

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10-hour, 20-hour, 30-hours packages are available.  (Packages or sessions purchased after August 15, 2025 will be subject to new rates.)

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Details: Call 847-814-6948 or find contact information below.

Timothy Comar, Ph.D.
Mathematics Tutor
for
High School, College, and Middle School Students

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What Do I Teach?

What Do I Teach?

Extensive Experience!

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  • Ph.D. mathematician

  • 25 years of experience teaching in universities

  • Many years of experience tutoring students at various levels

    • High School

    • Middle School

    • College

    • Graduate

    • Returning adult students

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Passionate about Teaching,

Passionate about Mathematics!

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  • Passionate about helping students learn and think critically about mathematics

  • Committed to supporting student success in courses and exams

  • Relaxed, interactive teaching style

  • Deep passion for mathematics itself

  • Happy to provide enrichment opportunities for students

  • Comfortable tackling challenging problems and advanced topics

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More to Read!

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Please read the following details about particular courses and topics.

AP Calculus, Calculus I-III,
Business Calculus, Calculus for the Life Sciences

  • Regularly tutor and teach all levels of calculus

  • Tutor many AP Calculus and college-level calculus students

  • Have taught a variety of calculus courses, including:

    • Traditional calculus (for physics, engineering, and mathematics majors)

    • Calculus for life sciences

    • Business calculus

  • Served as a Reader (grader) for the AP Calculus exams

  • Use graphing calculators, computer algebra systems, and online platforms as needed for teaching and tutoring

  • Authored a preliminary edition of a rigorous calculus text for life sciences students

  • Teach and tutor more advanced related topics including real analysis, complex analysis, and topology.

SAT and ACT Mathematics

Key goals for preparing students for SAT and ACT mathematics:

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1) Learn the mathematics.

2) Learn the patterns in common problems.

3) Efficiently reason through problems based on the mathematics and patterns.

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  • Familiar and proficient with the mathematics content on the SAT and ACT exams, including the new digital format

  • Regularly tutor all math topics covered on the SAT and ACT​

  • Proficient in using graphing calculators for teaching and tutoring

  • Emphasize connecting algebraic (symbolic) and visual (graphical) approaches to enhance student understanding

Algebra I, Algebra II,
Elementary Algebra,
Intermediate Algebra

  • Tutor all high school and basic algebra courses

  • Experience working with middle school students in Algebra I

  • Have taught:

    • College algebra

    • Trigonometry

    • Intermediate algebra

    • Elementary algebra

  • Proficient in using graphing calculators for teaching and tutoring this content

  • Emphasize connecting algebraic (symbolic) approaches with visual (graphical) approaches to deepen student understanding

Ordinary Differential Equations, Partial Differential Equations, Nonlinear Dynamics, Difference Equations

  • Tutor in:

    • Ordinary differential equations (ODEs)

    • Partial differential equations (PDEs)

    • Fourier series

    • Nonlinear dynamics

    • Difference equations

    • Mathematical biology

  • Have taught courses with significant differential equations content

  • Research in mathematical biology has involved systems of differential equations and difference equations

Modern Geometry, Non-Euclidean Geometry, Differential Geometry,
Topology

  • Teach and tutor advanced undergraduate and graduate-level geometry and topology

  • Courses include:

    • Modern Geometry

    • Advanced Euclidean Geometry

    • Non-Euclidean Geometry

    • Hyperbolic Geometry

    • Differential Geometry

    • Transformation Groups

    • General Topology

    • Algebraic Topology

    • Differential Topology

  • Taught geometry courses for:

    • Future high school teachers and mathematics majors

    • Future elementary school teachers

  • Proficient in dynamic geometry software, including GeoGebra and Cinderella

  • Have taught additional advanced courses in:

    • Knot theory

    • Differential topology

    • General topology

    • Algebraic topology

  • Ph.D. research focused on hyperbolic three-manifolds and Kleinian groups, at the interesection of hyperbolic geometry, low-dimensional topolog, and complex analysis

AP Statistics, Introductory Statistics,
Probability and Statistics

  • Tutored many students in a wide range of statistics courses, including:

    • AP Statistics

    • College-level statistics

    • Advanced college-level probability and statistics

  • Fluent in using TI graphing calculators for statistics, especially useful for AP Statistics

Geometry

  • Tutor high school geometry students as well as college and graduate-level geometry students

  • Experience tutoring middle school students in high school geometry

  • Taught geometry courses for:

    • Future high school teachers and mathematics majors

    • Future elementary school teachers

  • Proficient with dynamic geometry software, including:

    • GeoGebra

    • Cinderella

  • Teach and tutor advanced mathematical subjects, including:

    • Modern geometry

    • Hyperbolic geometry

    • Differential geometry

  • Ph.D. research area is a highly geometric field of mathematics​

College Algebra, Trigonometry, Precalculus, AP Precalculus

  • Tutor all versions of:

    • College algebra

    • Finite mathematics

    • Trigonometry

    • Precalculus (including AP Precalculus)

  • Have taught courses in each of these subjects

  • Regularly tutor and have taught calculus, providing broader context for how earlier math content is used in advanced courses

  • Proficient in using graphing calculators for teaching and tutoring

  • Emphasize connecting algebraic (symbolic) approaches with visual (graphical) approaches to deepen student understanding

Linear Algebra and Abstract Algebra

  • Teach and tutor students in linear algebra and abstract algebra

  • Taught linear algebra and used it extensively in research

  • Taught undergraduate abstract algebra

  • Emphasize the broad applications of linear algebra, both within and beyond mathematics

  • Highlight linear algebra as a gateway to learning mathematical proof-writing

  • Undergraduate and graduate-level algebra topics include:

    • Group theory

    • Ring theory

    • Field theory

    • Galois theory

    • Multilinear algebra

    • Modules

    • Homological algebra

    • Combinatorial group theory

Discrete Mathematics, Combinatorics, Graph Theory

  • Tutor and teach students in:

    • Discrete mathematics (high school and college)

    • Combinatorics

    • Graph theory

  • Taught an advanced undergraduate applied combinatorics course with a strong emphasis on graph theory

Real Analysis and Complex Analysis

  • Tutor and teach students in:

    • Real analysis

    • Complex Analysis

    • General Topology

  • Taught undergraduate courses in these subjects

Contact
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