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Introduction to Calculus

Topic Review on "Title":

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.


Rapid Study Kit for "Title":
Flash Movie Flash Game Flash Card
Core Concept Tutorial Problem Solving Drill Review Cheat Sheet

"Title" Tutorial Summary :

This tutorial introduces the basic ideas in a Calculus course. Differential and Integral Calculus are discussed with the help of finding areas of shapes and slope of tangent lines. Calculus tips such as reviewing and mastering Calculus are discussed in this tutorial.

Differentiation and integration ideals are covered with the help of graphs and symbolic representation. A summary of what will be covered in this Calculus course is described in this tutorial. Understanding Calculus and its principles requires a discussion of different mathematics courses and their differences from a HS or a college level Calculus course.


Tutorial Features:

Specific Tutorial Features:

  • Example problems covering the origin of Calculus principles are covered in this tutorial.
  • The differences between Calculus and other mathematics courses are discussed with graphs.
  • Step by step analysis of the concepts that correspond to the integration and differentiation of functions in Calculus.

Series Features:

  • Concept map showing inter-connections of concepts introduced.
  • Definition slides introduce terms as they are needed.
  • Examples given throughout to illustrate how the concepts apply.
  • A concise summary is given at the conclusion of the tutorial.

"Title" Topic List:
Being familiar with Calculus
What is Calculus?
The rate of change idea
The slope of a tangent line to a curve
Calculus and other mathematics courses
Similarities and differences between calculus and other mathematics courses
Limits and Derivatives of functions
Integration of functions and Series
Tips needed for Calculus courses


See all 24 lessons in college calculus, including concept tutorials, problem drills and cheat sheets:
Teach Yourself College Calculus Visually in 24 Hours