Calculus Courses's collection of precalculus and calculus courses is designed for high school or college students as well as independent learners who want to learn more about higher math.

Teachers may also find these courses helpful for reviewing or developing new skills. They could also be used to create supplementary lessons for existing precalculus, differential calculus, or integral calculus classes. Students who pursue these classes can rest assured that they will have the skills they need to meet high school or college requirements and a foundation to study higher-level math courses.

Explore our full library of calculus courses:
Create an account to begin studying Calculus
Used by over 30 million students worldwide

What is Calculus?

We define calculus as the study of rates of continuous change, especially instantaneous change or change over short time intervals. Calculus enables individuals to graph and create models of change. It also helps in making predictions of future change. Mathematical operations are used to study and model rates of change. It also helps determine the consequences of change.

Calculus developed over many centuries. Eudoxus and Archimedes in ancient Greece, as well as mathematicians in ancient China, helped lay the foundations of calculus. By the 15th century, Indian mathematicians were using some calculus-type processes. In more recent times, Johannes Kepler contributed to the understanding of advanced math. Isaac Newton and Gottfried Leibniz then developed modern calculus. Newton focused on the geometric aspects of calculus, while Leibniz concentrated on analysis and created a notational system.

Key terms to understand in calculus math are function, derivative, and integral. Functions show relationships or connections between variables. Each input will result in one output. In calculus, they describe motion. Derivatives demonstrate the rate of change with respect to a variable. Integrals deal with areas. The two primary types of calculus are differential calculus and integral calculus. Basic calculus deals with single variables, while more advanced calculus studies the impact of multiple variables.

Calculus is commonly used in physics, engineering, medicine, economics, and computer science. It is also used in navigation and space travel. It is a common math requirement in many college programs and utilizes all the math skills students have previously developed, including those in algebra, geometry, and trigonometry.

Calculus Lessons and Skills's precalculus and calculus courses, as well as additional skills practice, provides students with the tools they need to succeed in higher math. Some of these courses and practices are designed to meet common high school academic standards, while others are tailored to expectations for college-level work.

Those who complete the precalculus courses will be able to:

  • Graph various types of functions and their transformations
  • Prove polynomial identities
  • Know and apply the Binomial Theorem
  • Understand and rewrite rational expressions
  • Solve logarithmic and exponential equations
  • Understand continuity and discontinuity
  • Analyze characteristics of functions and asymptotes
  • Make connections between algebraic and geometric concepts

Students will have a firm grasp of these concepts and be able to apply them to their current coursework or be ready to continue their mathematical studies with calculus.

Calculus students will have a firm foundation in both differential and integral calculus. By working through various calculus examples and problems, students will:

  • Understand and define limits as well as estimate limits and find them by substitution
  • Work with continuity and discontinuity
  • Understand maximum and minimum values
  • Build functions to model relationships
  • Compose and combine functions
  • Find and work with inverse functions
  • Produce invertible functions
  • Understand the unit circle
  • Tackle trigonometric functions and equations
  • Prove and apply trigonometric identities
  • Express geometric properties with an equation
  • Work with and understand complex numbers and vectors

The links in this section provide many practice problems geared to meeting specific math standards in both Florida and Texas. Many other states have similar standards, so the practice skills are easily transferable regardless of the student's location. These practice equations and problems allow students to practice key skills or to work on areas in which they may need extra help. Step-by-step guides on how to solve the equations will help students develop a better understanding of how to answer problems. Teachers may also find these practice problems helpful in building their own skills and understanding as well as developing material for their courses.

With the lessons and skills that offers, students who wish to pursue higher math studies beyond calculus will be well-prepared to do so.

Calculus Test Prep

Students and prospective teachers can take advantage of's calculus test prep courses. Students hoping to earn college credit can study using the CLEP, AP Calculus AB, AP Calculus BC, or AP Calculus AB & BC courses. Prospective teachers planning to teach in Georgia can prepare for the GACE Math Test 1 while those hoping to teach in California can take advantage of the CSET Math Subtest Prep.

Browse All Calculus Test Prep

Calculus Tutors has partnered with the award-winning Tutoring team at Enhanced Prep to bring you personalized online Calculus tutoring. Discover a unique tutoring program to get you the grade, score, or school.

Enhanced Prep provides a truly customizable approach to tutoring, focusing on each student's specific needs. Students are matched with the right tutor who can help them study for a Calculus test one day and prep for their upcoming college entrance exam the next.

Enhanced Prep professional tutors have a minimum of 5 years' experience helping students get into their dream schools. Other leading services require as little as half a year of experience.

No two students are the same. Tutors create a unique game plan for each student following an assessment of their individual strengths and weaknesses. Tutoring Membership
Get tutoring help