Mathematics

Calculus

This course is a comprehensive study of single-variable calculus. It builds on the topics covered in Pre-Calculus and is the basis for theorem and problem solving that are covered in high school calculus class. It is essential for students looking to further their education with AP Calculus. Specific topics covered include limits, continuity, derivatives, integrals, power series, plane curves, derivative integral series, and differential equations.‍

Chapter 1: Prerequisites for Calculus
arrow
Parametric Equations, Review of Pre-Cal 12, including exponential and logarithms, trigonometric functions
Chapter 2: Limits and Continuity
arrow
Limits, Continuity, instantaneous Rate of change
Chapter 3: Derivatives
arrow
Definition, differentiability, rules for differentiation, chain rule, implicit differentiation, derivative of trigonometric, inverse trigonometric, exponential, and logarithms. Applications in kinematics
Chapter 4: Applications of derivatives
arrow
Extreme values of functions, mean value theorem, drawing graph of derivatives, optimization, linearization and newton’s method
Chapter 5: Definite Integral
arrow
Estimation of integral, definition, antiderivatives, fundamental theorem of calculus
Chapter 6: Differential Equations and Mathematical Modeling
arrow
Slope Fields, integration by substitution and by parts, exponential growth and decay, logistic growth
Chapter 7: Applications of definite integrals
arrow
Areas in the plane, volumes, lengths of curves
Chapter 8: Sequences, L’Hopital’s rule, improper integrals
arrow
Sequences, l”hopital’s rule, relative rates of growth, improper integrals
Chapter 9: Infinite Series
arrow
Power Series, Taylor Series, Tayler’s theorem, radius of convergence, convergence tests
Chapter 10: Parametric, Vector, and Polar Functions
arrow
Parametric Functions, Vectors, Polar Functions

Learn from the best

Passion for tech. Unmatched expertise. Personality that brings out the absolute best in your child. We know there's no replacement for the best teacher. It's no surprise that iconic companies like Google, Amazon, Microsoft, and Disney hire the same talent we do. Our Geek Certified instructors possess the whole package of skills that inspires students for the Tech World!

university icon
Recruited from top universities and leading IT companies
verified icon
Rigorous background and reference checks
certified icon
Geekedu Certified professional level
experienced icon
Verified teaching experience

What our parents say

This course is for students who have completed our Pre-Calculus course.

Graph Icon - Education X Webflow Template
Level: 
AGES 15+
Star Icon - Education X Webflow Template
Lifetime Access
Phone Icon - Education X Webflow Template
Online 1-on-1 Private Sessions

This course typically takes 3-6 months to complete. This depends on the student's experience and how fast they can master the concepts and the knowledge. Our instructors move at the pace of the student, it may take extra time for some students to reinforce what they have learned.

Sign up and get a 60-minute free assessment class

Book A FREE Trial
Other courses

You Might Also Be Interested In Our Elective Courses

Python Level 1
AGES 10 - 15

Designed for beginners, this level is designed to teach the basic fundamentals and design principles of Python, with the help of Turtle graphics and PyGame. This includes: variables, conditional statements, loop basics, and functions.

These concepts are transferable to any other programming language. Throughout the way, students will create projects in order to apply the concepts they have learned, and to solidify their knowledge.

Python Level 2
AGES 10 - 15

Level 2 dives deeper into the basics of Python for a more thorough understanding and introduces advanced topics. Students will build on knowledge from Level 1 and work with data structures, advanced loops, algorithms, and object-oriented programming, and create games based on what they learn.

Students will complete the course with a solid understanding of Python fundamentals.

Java Level 1
AGES 10 - 15

This beginner-friendly course serves as an introduction to the Java programming language. Students will learn the fundamentals of Java along with core computer science concepts.