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Test #
1 Preparation |
| OS Chapter 1 |
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Functions |
OS: OpenStax
Chapter 2: Limits |
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2.1
Tangent, Velocity, Area
geogebra:
Tangent Line
2.2
Limits and 2.3 Evaluating Limits
geogebra:
Special Indeterminante Limit: [sin x]/x
2.4
Continuity
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| Chapter 3: Derivatives |
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Ch 3.1
Derivative at a Point
Ch 3.2
Derivative as a Function
Ch 3.3
Derivatives: Basic Rules
Ch 3.3
Derivatives: Product and Quotient Rules
Ch 3.4
Derivatives
as Rates of Change
Ch 3.5
Derivatives
of Trig Functions
geogebra video:
Derivative of y = sin x
Ch 3.6
The Chain Rule for Composite Functions
Ch 3.8
Implicit Differentiation
Ch 3.9
Exponential and Logarithmic Functions
geogebra video:
Inverse
Functions |
| Chapter 4:
Applications |
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Ch 4.1
Related Rates
Ch 4.2
Differentials and Approximations
Ch 4.3
Critical Values and Extrema
Ch 4.4
Mean Value Theorum
Ch 4.5
1st and 2nd Derivative Tests, Concavity
Functions and Derivatives:
Graphs of f(x), f '(x), f ''(x)
geogebra video:
Concavity
Definition
Ch 4.6
Limits at Infinity and Asymptotes
Given graph of f '(x)
Find graph of f(x) [gif animation]
Ch 4.7
Optimization Problems
Ch 4.8
L'Hopital's Rule
Ch 4.10
Antiderivatives, Indefinite Integrals
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| Chapter 5: Integration |
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VIDEO of geogebra: Definite Integral and Area
Definite Integral and Area - mp4 video file for
mobile
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geogebra: Definite Integral and Area |
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5.1
Area under a Curve
5.2
Definite Integral
5.3
Fundamental Theorum of Calculus _Part 1
5.3
Fundamental Theorum of Calculus _Part 2
Final Exam: Information and Review
STEWART "Calculus" 8th ed.
Quick
Review of Calc 1
5.4
Indefinite Integral; FTC asNet Change
5.5
Integration by Substitution |
Chapter 6:
Applications
of Integration |
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6.1 Area between Two Curves
geogebra: Area betw Two Curves
6.2
Volume-Disk Method & Cross Section |
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videos: Disk Method
Disk
Method-3D
Solid from circles-around x
Axis
Solid: sqrt(x)-around y
Axis
Solid:
Xsection -base ellipse, triangles |
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6.3
Volume-Shell Method
videos: Shell Method
Shell
Method-3D
Shell: 2 curves around x=2 |
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6.5
Mean Value Theorum, Integrals & Average Value
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| Chapter 7: |
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7.1 Integration by Parts
Reading: Applications in Engineering |
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7.2 Trigonometric Integrals |
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7.3
Integration by Trig Substitution |
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7.4
Integration by Partial Fractions |
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7.5
Strategy: Which Approach? |
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7.6
CAS, tables |
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7.7 Approximate Integration |
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7.8 Improper Integrals |
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Integral with Infinite Limit - Video
Powerpoints:
Introduction,
Definition |
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| Chapter 8 : |
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8.1 Arc Length |
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| Chapter 11 : |
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11.1 Sequences *** Series/Tests Summary Chart
*** |
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11.2 Series |
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11.3 and 11.4 Integral Test, Direct Comparison & Limit Tests |
| Helpful sites: |
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11.5 Alternating Series & 11.6 Ratio and Root Tests |
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Convergence: R, IC |
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11.8 Power Series & 11.9 Functions as Power Series |
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Find Taylor Series |
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11.10 Taylor and Maclaurin Series |
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![Find graph of f(x) [gif animation]](http://www.battaly.com/calc/fprime.gif){kind=link}