Stevens Institute of Technology    Syllabus

MA116 Spring 2000         

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Text: Calculus, Concepts and Contexts by James Stewart; Brooks/Cole Publishers

To view WebCalc: In Scientific Notebook click File, Open Location and type http://golem.math.stevens-tech.edu/webcalc/mindex.tex  

Week

Text Sections

WebCalc Sections

Topics

1-2

6.1, 6.2, 6.3

II - 1, 2

Area between two curves, volumes by cross section and shells, Arc length

3

10.1, 10.2, 10.3, 5.9

II - 3

Vector functions and space curves, Curvature, Improper Integrals

4

8.1, 8.2, 8.3

 II-6, II-7

 Introduction to series

5

8.4, 8.5, 8.6

II-7

Series, Power Series

6

8.7, 4.5

II-7

Taylor Series, L'Hôpital's Rule

7

11.1, 11.2, 11.3

I-26, II - 9

Functions of several variables,  Limits, Continuity, Partial Derivatives

8

11.4, 11.5, 11.6

II-9

Tangent Planes, chain rule, Directional derivatives and the gradient

9

11.7, 11.8

II-9

Maximum and  minimum values, Lagrange multipliers

10

12.1, 12.2, 12.3

II-10

Double integrals, Iterated integrals

11

Appendices G1, G2

II-10

Polar Coordinates

12

12.4

II-10, II-8

Double integrals in polar coordinates

13

Appendix H, Not in text

II-8, II-4

Complex numbers,  , matrices

14-15

Not in text

    II -  5   

Determinants

 

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