
High School Calculus Fundamentals
High School Calculus Fundamentals is a year-round supplemental course designed for driven students who are already taking calculus in school and want to genuinely own the material — not just survive it.
Starts Sun, Oct 25
11:00 PM UTC · 1h
4 sessions

Brian
4.4
Outcomes, not lecture notes.
Evaluate limits graphically and algebraically using direct substitution, factoring, conjugate multiplication, and limit properties
Interpret one-sided limits and determine whether a limit exists based on left-hand and right-hand behavior
Identify and classify discontinuities — removable, jump, and infinite — and apply the Intermediate Value Theorem
Analyze limits at infinity to determine horizontal asymptotes and end behavior of rational functions
Define the derivative using the formal limit definition lim h→0 [f(x+h) - f(x)] / h and connect it to instantaneous rate of change
Apply differentiation rules fluently — including the power rule, product rule, quotient rule, and chain rule
Interpret the sign and value of a derivative graphically to identify increasing/decreasing intervals, critical points, and local extrema
Use derivatives to solve real-world problems involving optimization, related rates, and curve analysis
Meet Brian.

Brian
Hundreds of high school students have Brian Ding to thank for their college credits and acceptances. After all, Brian has taught every AP math and computer science class, in addition to serving as an AP computer science reader and grader, and a computer science instructor at Johns Hopkins. In his continued efforts to bring engaging STEM instruction to the masses, Brian even installed an e-Glass enabled teaching studio in his home–which he debuted to rave reviews for Varsity Tutors students and where he continues to help students ace their APs and learn to love math and computer science.
High School Calculus Fundamentals is a year-round supplemental course designed for driven students who are already taking calculus in school and want to genuinely own the material — not just survive it. While your class moves at the pace of a school calendar, this course gives you the space to build real mastery of the concepts that every future unit, every AP exam, and every college math course will assume you know cold. You'll work deeply through limits, derivatives, and their applications — sharpening both your algebraic technique and your conceptual understanding at the same time. This is the strategic move that separates students who truly understand calculus from those who passed the test and moved on.
Make the Basics Automatic When a student is still working hard on algebra and trigonometry skills like factoring, rational expressions, or the unit circle, there's little attention left for the new idea that builds on it. We revisit those foundations until they're automatic, so students' brainpower goes where it's needed most.
Lock In This Year's Learning Calculus moves fast, and each unit leans on the last. We circle back to key concepts from earlier in the year, like limits or the rules of differentiation, so later units have something solid to build on.
Tackle What's in Front of You Whatever unit your class is in right now, from limits and derivatives to their applications and integrals, students get guided practice and clear strategies for the kinds of problems they're seeing in school this month.
Preview What's Next Wouldn't we all love a sneak peek at our next challenge before the clock starts ticking and the points start counting? We preview upcoming concepts, like the chain rule or the Fundamental Theorem of Calculus, so new topics feel familiar instead of intimidating.
Live Q&A
Cameras / mics optional
Recordings
Available within 1 hour, kept 90 days
Materials
No special materials required
Similar classes
free with a Varsity Tutors membership
11
DAYS10
HRS34
MINSun, Oct 25 • 11:00pm UTC
4 classes, starts in 11 days
Tue, Nov 24 • 12:00am UTC
4 classes, starts in 41 days
Mon, Jan 11 • 12:00am UTC
4 classes, starts in 89 days
Mon, Feb 8 • 12:00am UTC
4 classes, starts in 117 days
High School Calculus Fundamentals


