Coursework overview

This course can be taken in high school, known as AP Calculus AB, or in college, known as Calculus 1 (first year Single-Variable Calculus). It is a detailed and intriguing introduction to Calculus many students take after completing the Integrated Math sequence in high school. Calculus 1 introduces us to the idea of function approximation with limits, which paves the road for Differential Calculus and Integral Calculus. The course concludes with important applications of Calculus, such as Optimization and Related Rates. My tutoring offers a comprehensive guide through every concept covered in this course.​

Concepts covered in this course include:

Secant & Tangent line slope

Using Limits to evaluate functions

Limit Continuity / Discontinuity

Limit Definition of a Derivative (both)

The 6 Differentiation Techniques

The 2 Integration Techniques

Fundamental Theorems of Calculus

L'Hôpital's Rule

Relative Maxima / Minima

MVT, Rolle's Theorem, IVT, EVT

Concavity & Points of Inflection

Area by Disks & Area by Washers

Average Value of a Function

Riemann Sums (all four types)

Cross Sections of Functions (all 5 types)

Physics Application (position vs velocity vs accel.)

Optimization Application

Related Rates Application