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Standard |
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R State Standard £ Institutionally
Developed College: N/A |
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MAT 1131 – Differential Calculus |
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Course Description |
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Emphasizes the use of differential calculus. Applications of techniques include extreme
value problems, motion, graphing, and other topics as time allows. Topics include: derivatives and
applications, differentiation of transcendental functions, and introduction
to integration and applications. |
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Competency Areas |
Hours |
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Derivatives and Applications |
Class |
5 |
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Differentiation of Transcendental Functions |
D. Lab |
2 |
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Introduction to Integration and Applications |
P. Lab/O.B.I. |
0 |
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Credit |
6 |
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Prerequisite: |
MAT 1113 with a passing grade of C or better. |
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Corequisite: |
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Course
Guide |
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Competency |
After
completing this section, the student will be able to: |
Hours |
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Class |
D.Lab
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P.Lab/ O.B.I. |
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DERIVATIVES AND APPLICATIONS |
40 |
8
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0 |
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Limits |
Find the limits of equations using the four step method. |
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Differentiation theory - slope of the tangent to a curve |
Relate the theory of limits to solving for the slope of the tangent to
a curve. |
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Techniques of differentiation |
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Applications |
Solve word problems using derivatives. |
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Derivative graphing |
Employ derivatives for graphing. |
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DIFFERENTIATION OF TRANSCENDENTAL FUNCTIONS |
5 |
5
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0 |
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Derivatives of the sine and cosine function |
Identify derivatives of these functions. |
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Derivatives of exponential and logarithmic functions |
Differentiate exponential and logarithmic functions. |
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INTRODUCTION TO INTEGRATION AND APPLICATIONS |
5 |
7
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0 |
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Indefinite integral |
Evaluate indefinite integrals. |
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Definite integral |
Evaluate definite integrals. |
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Definite integral and area under a curve |
Calculate the area under a curve using a definite integral. |
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General power formula |
Use power rule and substitution to integrate functions. |
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Tables |
Evaluate integrals beyond the scope of this course by using
integration tables. |
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Suggested
Resources |
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Media |
Author |
Title:
Subtitle |
Edition |
Place
of Publication |
Year |
Publisher/Publication |
pp. |
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Sharma & Kapoor |
Calculus (Part I & II). |
5th Ed |
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(1997). |
Educo International, Inc |
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Smith & Minton |
Calculus Concepts & Connections |
1st Ed |
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(2006). |
McGraw-Hill. |
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Posted: 07/02/08