Calculus: 

Calculus is a branch of mathematics that addresses the use of limits as tools to solve problems.

Differential Calculus:

Differential Calculus is a branch of mathematics that uses limits to develop derivatives and differential equations.

Integral Calculus:

Integral Calculus is a branch of mathematics that uses limits to find integrals.

This tutorial previews the basic concepts of calculus. Graphs are used to introduce the basic concepts of calculus. The tangent line problem is motivated with the use of examples and definitions. The area of any shape is approximated with the use of rectangles.

Differentiation and integration ideals are presented in this tutorial. A summary of what it is expected in a calculus course is described in this tutorial. The differences and similarities between calculus and other mathematics courses are given so the importance of  effectively learning courses such as trigonometry is emphasized.

Specific Tutorial Features:|
• Graphs showing Calculus and the different mathematics courses.
• Step by step analysis of the different principles that relate to the integration and differentiation of functions in calculus.

Series Features:
• Concept map showing inter-connections of new concepts in this tutorial and those previously introduced.
• Definition slides introduce terms as they are needed.
• Visual representation of concepts
• Animated examples—worked out step by step
• A concise summary is given at the conclusion of the tutorial.

Getting to know Calculus
       Calculus and its definition
       The rate of change 
       The slope of a tangent line
Calculus and other mathematics courses
       Similarities and differences between calculus and other mathematics courses
Limits and Derivatives
       Integration and Series
Calculus Tips