| Prerequisites Chapter |
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P.3 Functions |
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Chapter 1: Limits
and Continuity |
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1.2
and 1.3 Limits
Limits: [{sinx) / x]
1.4 Continuity
1.5 Infinite Limits and Vertical Asymptotes |
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| Chapter 2: Derivatives and Rules of
Differentiation |
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2.1 Slope of the Tangent Line, and Derivative of a
Function
geogebra:
Slope of the
tangent Line
2.2 Rules of Differentiation
geogebra:
derivative practice
2.3 Product and Quotient Rules
click the printed
script for a verbal description of the Product and Quotient
Rules
2.4 Chain Rule
2.5 Implicit Differentiation
2.6 Related Rates
geogebra:
Related Rates
Introduction |
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Chapter 3: Applications
of
Differentiation |
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3.1 Extrema
3.2 Rolle's & Mean Value Theorums
geogebra:
Mean Value Theorum
3.3 Increasing and Decreasing Functions; 1st Derivative
Test
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Understanding f(x) given the 1st derivative: gif
3.4 Concavity and the 2nd Derivative Test
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Comparing f(x) to 1st and 2nd derivative: geogebra
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Derivative Fun
3.5
Limits at Infinity
3.6
Curve Sketching
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3.7 Optimization
Problems |
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3.9 Differentials |
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| Chapter 4: Integration |
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4.1 Antiderivatives and Indefinite Integration |
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4.2 Area
4.3 Riemann Sums and the Definite Integral |
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geogebra:
Definite Integral and Area |
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VIDEO of geogebra:
Definite Integral and Area |
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4.4 Fundamental Theorem of Calculus, Pt.1
FTC, Part 2: MVT Integrals, Ave. Value, 2nd FTC
4.5 Integration by Substitution
Substitution Examples |
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Chapter 5: Logarithmic,
Exponential, and other
Transcendental Functions |
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5.1 The Natural Logarithm: Definition, Derivative
5.2 The Natural Logarithm & Integration
5.3 Inverse Functions
geogebra:
1.
quadratic 2.
ln x
VIDEO of geogebra: Inverse
Functions: an Exploration
5.4 Exponential Functions
5.6 Inverse Trig Functions & Derivatives
5.7 Inverse Trig Functions
& Integrals |
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| Chapter 6: Differential Equations |
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6.1 Differential Equations & Slope Fields
6.2 Differential Equations: Exponential Growth and Decay
6.3 Separation of Variables & Homogeneous Equations
6.4 First Order
Linear Differential Equations |
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| Chapter 7: Application of Integration |
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7.1 Area of a
Region Between Two Curves
geogebra demo
7.2 Volumes of
Revolution: Disk and Washer Method **
7.3 Volumes of Revolution: the Shell Method
** shell_animation
7.4 Arc Length and Surfaces of Revolution
** |
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| Chapter 8: Integration Techniques |
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8.2 Integration by Parts
8.3 Integration with Trig
8.4 Integration with Trig Substitution
8.5 Integration by Partial Fractions
8_7_Indeterminate_Forms_LHopitals |
