Join today for the 2025-2026 School year
Honors PreCalculus
Full year PreCalculus course using the AoPS Intermediate Algebra and PreCalculus as the primary texts
What's included?
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One live 1.5 hour interactive zoom meeting weekly
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Class size capped at 12 students
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Weekly class sessions video recorded and available to watch on the class website
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Option between graded track or completion certificate
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Choose between the standard track (which is already rigorous and challenging) and the extra challenge track (good for students that are very interested in math or those that are training for math competitions)
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Online or paper based homework sets with weekly writing response practice
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Optional weekly office hour with Dr. Finotti, and a second hour available by request
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Optional weekly student run problem session, if there is sufficient interest
Delve deep in a small group
In the weekly live zoom meetings, prep videos, and interactions with fellow students, our PreCalculus students will have the opportunity to take a deep dive into the several mathematical topics. This course is unique in that it covers a kind of "smattering" of various topics in order to fully prepare students for Calculus and other university level Math courses.
If your student is already proficient in functions and their inverses, polynomial and rational functions, exponential and logarithmic functions, and geometric and arithmetic sequences and series, they can join in the class starting Sept 15th, so that they only cover those topics that form the core of our PreCalculus course. This core portion of the course runs through April 24th.
And if they love math, and want to spend another three weeks with us studying the intersection of trigonometry and complex numbers, complex exponentials, roots of unity, and the geometry of the complex plane, they can continue their registration through May 15th.
Class size will be capped at 12 students so that every student will have the necessary support and opportunity to interact and be heard. The class meetings will be interactive in a growth-mindset, supportive, mistakes-encouraged environment with the appropriate level of challenge to keep the group growing!
Registration Options Summary:
*August 18 - September 12: Pre-core topics determined based on student needs. (4 weeks = $130)
*September 15-April 24: Core of the PreCalculus course (28 weeks of instruction = $910)
*April 27th - May 15: Extra fun with complex exponentials and the geometry of the complex plane. (3 weeks = $100)
If your student is already proficient in functions and their inverses, polynomial and rational functions, exponential and logarithmic functions, and geometric and arithmetic sequences and series, they can join in the class starting Sept 15th, so that they only cover those topics that form the core of our PreCalculus course. This core portion of the course runs through April 24th.
And if they love math, and want to spend another three weeks with us studying the intersection of trigonometry and complex numbers, complex exponentials, roots of unity, and the geometry of the complex plane, they can continue their registration through May 15th.
Class size will be capped at 12 students so that every student will have the necessary support and opportunity to interact and be heard. The class meetings will be interactive in a growth-mindset, supportive, mistakes-encouraged environment with the appropriate level of challenge to keep the group growing!
Registration Options Summary:
*August 18 - September 12: Pre-core topics determined based on student needs. (4 weeks = $130)
*September 15-April 24: Core of the PreCalculus course (28 weeks of instruction = $910)
*April 27th - May 15: Extra fun with complex exponentials and the geometry of the complex plane. (3 weeks = $100)
Precalculus Topics
The core of our Precalculus class, which will run from September 15-April 24th, will cover the topics:
* Conic sections
* Trigonometry, trigonometric identities, and applications
* Conic sections
* Trigonometry, trigonometric identities, and applications
* parametric curves, polar coordinates, (and if time permits: cylindrical, and spherical coordinates)
* low-dimensional (2 and 3) vectors and matrices: basics, matrices as transformations of space, and solutions of systems of equations
* complex numbers, the complex plane, and nonreal roots of polynomials
Students coming into the PreCalculus course from other programs may need completion of other topics as well. The four weeks from August 18-September 12 will be an opportunity for those students to complete their background knowledge to align it with LoM students' knowledge base. Topics will be determined by the needs of the registrants, and may be drawn from :
* general properties of functions and their inverses,
* polynomial and/or rational functions,
* exponential and/or logarithmic functions
Students coming into the PreCalculus course from other programs may need completion of other topics as well. The four weeks from August 18-September 12 will be an opportunity for those students to complete their background knowledge to align it with LoM students' knowledge base. Topics will be determined by the needs of the registrants, and may be drawn from :
* general properties of functions and their inverses,
* polynomial and/or rational functions,
* exponential and/or logarithmic functions
* sequences and series
For students that enjoy the more theoretical side of math, intend to study mathematics at the college level, or are involved in high level math contests, there are an optional three weeks (April 27 - May 15) at the end of the course, which will cover:
*trigonometry and complex numbers, roots of unity, and geometry in the complex plane
PreCalculus is a bit of a smattering of lots of topics -- essentially all the missing bits from prior courses needed to ensure a solid foundation for university level Calculus. And while that may make it seem that these topics aren't quite as important somehow as what was learned prior, some of these topics are foundational to principles that are at the heart of modern math and science. Come learn these topics with us and get to the heart of these important concepts!
For students that enjoy the more theoretical side of math, intend to study mathematics at the college level, or are involved in high level math contests, there are an optional three weeks (April 27 - May 15) at the end of the course, which will cover:
*trigonometry and complex numbers, roots of unity, and geometry in the complex plane
PreCalculus is a bit of a smattering of lots of topics -- essentially all the missing bits from prior courses needed to ensure a solid foundation for university level Calculus. And while that may make it seem that these topics aren't quite as important somehow as what was learned prior, some of these topics are foundational to principles that are at the heart of modern math and science. Come learn these topics with us and get to the heart of these important concepts!
Ready to Enroll?
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Thank you!
Meet the instructor
Dr. Heather Finotti
Heather has been teaching mathematics professionally since 1995. She has a PhD in Mathematics and experience teaching all ages in all stages of learning and life. She loves supporting people in finding their own unique relationship with mathematics, and helping students who already love math learn to really soar!
The last seven years she's worked primarily with accelerated learners, both through private tutoring and teaching group classes. For more information about her background and philosopy, check out https://www.loveofmath.com/about .
Patrick Jones - Course author
LoveofMath.com
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