High School Calculus Fundamentals
LIVE CLASS
MATH
CALCULUS
4 WEEKS · SHORT-TERM

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 photo
FEATURED INSTRUCTOR

Brian

4.4

WHAT YOU'LL WALK AWAY WITH

Outcomes, not lecture notes.

01

Evaluate limits graphically and algebraically using direct substitution, factoring, conjugate multiplication, and limit properties

02

Interpret one-sided limits and determine whether a limit exists based on left-hand and right-hand behavior

03

Identify and classify discontinuities — removable, jump, and infinite — and apply the Intermediate Value Theorem

04

Analyze limits at infinity to determine horizontal asymptotes and end behavior of rational functions

05

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

06

Apply differentiation rules fluently — including the power rule, product rule, quotient rule, and chain rule

07

Interpret the sign and value of a derivative graphically to identify increasing/decreasing intervals, critical points, and local extrema

08

Use derivatives to solve real-world problems involving optimization, related rates, and curve analysis

YOUR INSTRUCTOR

Meet Brian.

Brian photo

Brian

4.4

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.

ABOUT THIS CLASS

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.

SYLLABUS

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.

GOOD TO KNOW

Live Q&A

Cameras / mics optional

Recordings

Available within 1 hour, kept 90 days

Materials

No special materials required

PLAN PERK
$0

free with a Varsity Tutors membership

NEXT CLASS IN

11

DAYS

10

HRS

34

MIN

Sun, Oct 25 • 11:00pm UTC

4 classes, starts in 11 days

5 left

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High School Calculus Fundamentals