The purpose of this course is to present basic calculus concepts and show how to deal with problems. In this way the development of the calculus comes about as a means of solving problems.
The aim of this course is to provide you with a review and reference for mathematical techniques you will need in your mathematical course. Some topics may be familiar to you while others may not. Depending on the mathematical level of your course
Each topic is covered insufficient depth to allow you to perform the mathematical manipulations necessary for a particular problem without getting bogged down in lengthy derivations. The explanations are, of necessary, brief. If you are totally unfamiliar with a topic it may be necessary for you to consult an algebra or calculus text for a more through explanation.
The purpose of this course is to present basic calculus concepts and show how to deal with problems. In this way the development of the calculus comes about as a means of solving problems.
The aim of this course is to provide you with a review and reference for mathematical techniques you will need in your mathematical course. Some topics may be familiar to you while others may not. Depending on the mathematical level of your course
Each topic is covered insufficient depth to allow you to perform the mathematical manipulations necessary for a particular problem without getting bogged down in lengthy derivations. The explanations are, of necessary, brief. If you are totally unfamiliar with a topic it may be necessary for you to consult an algebra or calculus text for a more through explanation.
George B. Thomas, Jr. "Calculus", International Edition 11th, Addison – Wesley, 2005.
Ross L. Fenny and George B. Thomas, Jr. " Calculus ", Addison – Wesley, 1990.
Frank E. Junior and Fillip Schmidt, "Collage Mathematics Calculus", Shum's Series, McGraw – Hill Inc. 1992, Academia International 2001.
Inequalities, Definition, Rule of Inequalities, Set of Solution, Examples.
Absolute Values, Definition, Rule of Absolute Values.
Function, Type of function.
Operation of function, Functions of A. value.
Graph of function.
Graph of Trigonometric function.
Graph of Exponential function.
Non algebraic function, Definition, Trigonometric Functions
Power function, Special case, Properties
Exponential, Logarithm
Limit of Function, Definition
Limit of Function, Solving equation
Continuity Definition
Continuous function
Differentiation, Definition, Rules of Differentiation, Derivative of Trigonometric function
Derivative of Exponential function
Integration Definition, Rules of Integration, Integration of Trigonometric function
Integration of Exponential function
Technique of Integration, Basic Integration Formulas, Integration by Parts, Integration of Rational Functions by Partial Functions
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