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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 |
Lecture
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Text Sections
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WebCalc Sections
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Topics
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| 1 |
1 & 2
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Appendices A& B, 1.1, 1.2, 1.3, 2.1, 2.2, 2.3
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I-1, I- 2, I-15, I- 6
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Inequalities, absolute values, coordinate geometry,
functions and parametric curves, velocity, limits and calculation of
limits
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| 2 |
3& 4
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2.4, 2.5, 2.6, 2.7
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I-6, I- 7
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Continuity, limits involving infinity, tangents
and derivatives
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| 3 |
5 & 6
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2.8, 2.10, 3.1
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I-8, I-16
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Derivatives of polynomials and exponential functions
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| 4 |
7 & 8
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3.2
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I-9
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Product and quotient rules
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| 5 |
9 & 10
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Appendix C, 3.4
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I-4, I-19
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Review of trigonometry and derivatives of trig functions
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| 6 |
11 & 12
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3.5, 3.6
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I-12, I-13
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Chain rule, implicit differentiation
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| 7 |
13 & 14
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3.6, 3.7
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I-18, I-25
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Derivatives of inverse functions and logarithmic
functions
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| 8 |
15 & 16
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4.1, 4.2, 4.3, 4.6
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I-13, I- 27, I-28
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Related rates , maxima and minima
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| 9 |
17 & 18
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4.9, 5.1
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I-32
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Antiderivatives, area
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| 10 |
19 & 20
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5.2, 5.3
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I-33
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Riemann Sums, evaluation of integrals
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| 11 |
21 & 22
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5.4, 5.5
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I-34, I-35
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Fundamental theorem of Calculus, substitution
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| 12 |
23 & 24 |
5.6, appendix F
|
I-36
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Integration by Parts, partial fractions
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| 13 |
25 & 26 |
9.1, 9.2, 9.3
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I-5
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Three dimensions, vectors and dot product
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| 14 |
27 & 28
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9.4,9.5
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I-5
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Cross product, equations of lines and planes
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