AP Calculus AB/BC Primer

Intimidated by your upcoming AP Calculus (AB or BC) class? Let AJ Tutoring’s summer calculus primer build skills and confidence before it starts!

Locations: Online, Burlingame, Danville, Lafayette, Los Altos,  Los Gatos, Menlo Park, Mountain View, Palo Alto, San Carlos, San Jose, San Mateo, Saratoga, Woodside.

Cost: $120/hr

Recommended hours: 9-12


  • Prepare students to succeed in their upcoming calculus courses
  • Introduce the fundamental concepts of calculus
  • Instill an understanding of calculus’s relevance to real-world applications

To Enroll Call (650) 331-3251 / (408) 345–5200


Course Description:

This class is designed to get students ready to ace their upcoming calculus courses. It focuses on limits (including limits at a point, limits at infinity, limit properties, and more advanced applications); continuity (including open/closed intervals, polynomials and rational functions); and basic differentiation (including differentiation at a point, graphical interpretations of derivatives, differentiation on intervals, and properties of the derivative).

We will also emphasize the real-world applications of calculus, which are sometimes ignored in a fast-paced AP class. This course will introduce initially intimidating calculus ideas at a comfortable personalized pace.

AP Calculus AB/BC Primer Topics:

We will select and teach the topics that will best match your student’s level and interest and build a personally tailored curriculum from these sample lessons.

Limits & Continuity

Convergence, examination of graphical/computational limits, Intermediate Value Theorem


Limit definition of a derivative, notation, derivative properties, instantaneous vs. average rates of change, tangent vs. secant lines

Differentiation Rules

Power rule, exponential functions, product/quotient rules, trig functions, L’Hopital’s Rule, chain rule, implicit differentiation

Derivative Theorems & Applications

Maxima/minima, Extreme Value Theorem, Fermat’s Theorem, Mean Value Theorem, particle motion, curve-sketching, optimization


Areas under a curve, definite integrals, Fundamental Theorem of Calculus, antiderivatives, indefinite integrals

Integration Applications

More particle motion! Area between curves, volumes, arclengths

Make the Most of the Summer!

Students who stay actively engaged in the learning process during the summer perform better during the school year.

Contact AJ Tutoring to Enroll in Summer Tutoring
Peninsula Main Phone Number (650) 331-3251
Free Consultation