Northstar Mathematical Coaching

AP Calculus AB & BC

Online AP Calculus tutoring for AB and BC students.

Live one-to-one sessions that follow your student's AP course, strengthen the concepts behind each unit, and build the clear written justification the free-response section expects.

$50 / 60 minutes · No long-term commitments · No required prepaid packages · 12-hour cancellation policy

What we cover

What AP Calculus sessions cover

01

Limits & continuity

Limit laws, one-sided limits, continuity, and L'Hôpital's Rule.

02

Differentiation & applications

Chain rule, implicit differentiation, related rates, optimization, and the Mean Value Theorem.

03

Integration & accumulation

The Fundamental Theorem of Calculus, u-substitution, Riemann sums, differential equations, and slope fields.

04

Applications of integrals

Area between curves, volumes by disks, washers, and shells, and motion problems.

05

BC-only topics

Integration by parts, partial fractions, improper integrals, Euler's method, and parametric, polar, and vector functions.

06

Sequences & series (BC)

Convergence tests, Taylor and Maclaurin polynomials, and radius and interval of convergence.

07

Free-response practice

Writing complete justifications, labeling units, and managing calculator and non-calculator sections.

Joshua’s college-level teaching background

Joshua Lizardi holds an M.S. in Applied Mathematics, an M.S. in Data Analytics, a B.S. in Mathematics, and a Graduate Certificate in Applied Statistics, with 9+ years of teaching mathematics, including college and graduate-level instruction. Standard family AP tutoring is $50 per 60-minute session.

  • Live one-to-one sessions through Zoom
  • $50 per 60-minute session
  • No long-term commitments or required prepaid packages
  • 12-hour cancellation policy
  • Flexible scheduling
  • Payment through Zelle

Family cancellation policy, effective November 1, 2026

Cancel or reschedule with at least 12 hours' notice without charge. With less notice, the full $50 session fee may be charged. Student no-shows are generally charged the full scheduled fee. If Northstar cancels, you are not charged; any payment collected for that session is refunded or credited as appropriate. Rescheduling depends on mutual availability. Previously agreed individual exceptions are honored, and this policy does not apply to earlier sessions.

Private tutoring is $50 per 60-minute session. Invoices are typically issued after 4 tutoring sessions and paid through Zelle. Late-cancellation or no-show fees may appear on an invoice. No required prepaid packages or long-term commitments.

Full Terms of Use

Preparing for the AP Calculus exam?

Share whether your student is in AB or BC, the unit they're on, and where they're getting stuck.

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