Unit 6 limits of indeterminate form-LHpitals rule
Learning Objective
After completing this unit students should be able to
Describe the limit of indeterminate forms
0
Apply LHpitals Rule of " "
0
limits
Apply LHpitals Rule of
"
indeterminate form to fi
Unit 7 Applications of Differentiation
Learning Objective
After completing this unit students should be able to
Recognize Extrema and absolute maximum
Describe concavity of functions
Find and draw asymptote of curves
Draw graphs with calculus
Inves
Unit 9 Basic methods to find indefinite integrals
Learning Objective
After completing this unit students should be able to
Use the method of change of variable in the indefinite
integral
Use the method of Integration by parts
2014-10-29
1
I. Change of
Unit 10 Integrals of rational, trigonometric and irrational functions
Learning Objective
After completing this unit students should be able to
Integrate algebraic rational functions (Integration by
partial fractions)
Integrate rational trigonometric fun
11/6/2014
Unit 11 Introduction of definite integral
Learning Objective
After completing this unit students should be able to
Introduce the two typical examples
Describe the concept of definite integral
Recognize integrable conditions and integrable cla
Unit 13 Applications of definite integral
Learning Objective
After completing this unit students should be able to
Apply the method of micro-element analysis to applications
Calculate area between curves
Find volumes of solids of revolution
Evaluate l
Unit 12 Evaluate definite integral
Learning Objective
After completing this unit students should be able to
Evaluate a definite integral with a variable upper Limit
(Fundamental Theorem of Calculus II)
Apply Newton - Leibniz formula (Fundamental Theorem
Required Text Book
Calculus for Engineers
Bundled with MyMathLab
By Trim, Donald.
4th Edition printed by Pearson Prentice Hall
ISBN-13: 978-0-13-157713-8;
ISBN-10: 0-13-157713-1
Optional Resources
Lecture Notes written by the teaching Professor
Professor
Unit 2 Continuity
Learning Objective
After completing this chapter students should be able to:
Describe the definition of continuity
Recognize the types of discontinuities
Apply characters of continuous functions
1
Examples of continuous functions
The
Unit 8 Indefinite integrals and anti-derivative
Learning Objective
After completing this unit students should be able to
Describe the concept of antiderivative function
Describe the concept of indefinite integral
Apply basic integral table
Apply Inve
Unit 5 Mean Value Theorem
Learning Objective
After completing this unit students should be able to
Describe Fermats Theorem, including the concepts of
Extrem points, maxima and minima
Describe Rolles Theorem
Describe Lagranges Mean Value Theorem
Desc
Unit 3 Introduction of Derivative
Learning Objective
After completing this unit students should be able to
Introduce the concept of derivative
Describe the definition and characters of
derivative
Recognize correlation between differentiable and
continu
, 1. ngsgical ngbamtx
A W is an otiVity for which the result depends on chance alone.
EN Roning *1 die, tOSSing a coin. drawing a card from n well-shufed deck.
Consider the following experiment: Roll one die once.
An outcome is a particular result of a
Unit 4 Operational Rules of Derivative and Differential
Learning Objective
After completing this unit students should be able to
Apply derivative rules for four arithmetic operations
Apply derivative rules for composite functions
Apply derivative rules
City Number
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