Media Summary: Introduces continuity graphically, symbolically and numerically. Discusses the four types of discontinuities (removable, jump, ... Shows how higher derivatives can be used to obtain more subtle information about a function than what the first derivative ... Illustrates the derivative as the formal concept behind instantaneous velocities, tangent lines and general instantaneous rates of ...

Concise Modular Calculus 5 97 - Detailed Analysis & Overview

Introduces continuity graphically, symbolically and numerically. Discusses the four types of discontinuities (removable, jump, ... Shows how higher derivatives can be used to obtain more subtle information about a function than what the first derivative ... Illustrates the derivative as the formal concept behind instantaneous velocities, tangent lines and general instantaneous rates of ... Justifies the power rule and shows how it abbreviates the computation of derivatives. Computes tangent lines, growth behavior ... Justifies l'Hospital's rule graphically. Computes limits of indeterminate forms that are quotients, products, differences and powers. Sketches the graph of a normal distribution with mean mu and standard deviation sigma. Note: Sigma is positive throughout.

Outlines a structured procedure to find absolute minima and maxima of functions. Applies the procedure to discuss why soda cans ... Defines and computes derivatives via difference quotients. Checks tangent line computations graphically. All videos and slides for ... Derives Snell's law of refraction as an application of parameter dependent optimization. All videos and slides for single variable ... Derives Green's Theorem as a two-dimensional version of Stokes' Theorem. Shows how Green's Theorem enables us to use line ...

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Concise Modular Calculus [5/97]: Continuous Functions (4/6 on Limits and Continuity)
Concise Modular Calculus [12/97]: Higher Derivatives (5/5 on Derivatives)
Concise Modular Calculus [8/97]: Why Do We Need Derivatives (1/5 on Derivatives)
Concise Modular Calculus [13/97]: Power Rule (1/8 on Differentiation Formulas)
Concise Modular Calculus [24/97]: L'Hospital's Rule (4/5 on Applications of Derivatives)
Concise Modular Calculus [68/97]: Arc Length, Curvature, Components of Acceleration
Concise Modular Calculus [22/97]: Graphing Parameter Dependent Functions (2/5 on Apps of Derivs)
Concise Modular Calculus [55b/97]:Alternative Introduction to Series without Using Integrals
Concise Modular Calculus [15/97]: Optimization (3/8 on Differentiation Formulas)
Concise Modular Calculus [9/97]: Definition of the Derivative (2/5 on Derivatives)
Concise Modular Calculus [67/97]: Derivatives and Integrals of Vector-Valued Functions
Concise Modular Calculus [21/97]: Optimizing Parameter Dependent Functions (1/5 on Apps of Der)
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Concise Modular Calculus [5/97]: Continuous Functions (4/6 on Limits and Continuity)

Concise Modular Calculus [5/97]: Continuous Functions (4/6 on Limits and Continuity)

Introduces continuity graphically, symbolically and numerically. Discusses the four types of discontinuities (removable, jump, ...

Concise Modular Calculus [12/97]: Higher Derivatives (5/5 on Derivatives)

Concise Modular Calculus [12/97]: Higher Derivatives (5/5 on Derivatives)

Shows how higher derivatives can be used to obtain more subtle information about a function than what the first derivative ...

Concise Modular Calculus [8/97]: Why Do We Need Derivatives (1/5 on Derivatives)

Concise Modular Calculus [8/97]: Why Do We Need Derivatives (1/5 on Derivatives)

Illustrates the derivative as the formal concept behind instantaneous velocities, tangent lines and general instantaneous rates of ...

Concise Modular Calculus [13/97]: Power Rule (1/8 on Differentiation Formulas)

Concise Modular Calculus [13/97]: Power Rule (1/8 on Differentiation Formulas)

Justifies the power rule and shows how it abbreviates the computation of derivatives. Computes tangent lines, growth behavior ...

Concise Modular Calculus [24/97]: L'Hospital's Rule (4/5 on Applications of Derivatives)

Concise Modular Calculus [24/97]: L'Hospital's Rule (4/5 on Applications of Derivatives)

Justifies l'Hospital's rule graphically. Computes limits of indeterminate forms that are quotients, products, differences and powers.

Concise Modular Calculus [68/97]: Arc Length, Curvature, Components of Acceleration

Concise Modular Calculus [68/97]: Arc Length, Curvature, Components of Acceleration

5

Concise Modular Calculus [22/97]: Graphing Parameter Dependent Functions (2/5 on Apps of Derivs)

Concise Modular Calculus [22/97]: Graphing Parameter Dependent Functions (2/5 on Apps of Derivs)

Sketches the graph of a normal distribution with mean mu and standard deviation sigma. Note: Sigma is positive throughout.

Concise Modular Calculus [55b/97]:Alternative Introduction to Series without Using Integrals

Concise Modular Calculus [55b/97]:Alternative Introduction to Series without Using Integrals

(Alternative 1b/

Concise Modular Calculus [15/97]: Optimization (3/8 on Differentiation Formulas)

Concise Modular Calculus [15/97]: Optimization (3/8 on Differentiation Formulas)

Outlines a structured procedure to find absolute minima and maxima of functions. Applies the procedure to discuss why soda cans ...

Concise Modular Calculus [9/97]: Definition of the Derivative (2/5 on Derivatives)

Concise Modular Calculus [9/97]: Definition of the Derivative (2/5 on Derivatives)

Defines and computes derivatives via difference quotients. Checks tangent line computations graphically. All videos and slides for ...

Concise Modular Calculus [67/97]: Derivatives and Integrals of Vector-Valued Functions

Concise Modular Calculus [67/97]: Derivatives and Integrals of Vector-Valued Functions

4/

Concise Modular Calculus [21/97]: Optimizing Parameter Dependent Functions (1/5 on Apps of Der)

Concise Modular Calculus [21/97]: Optimizing Parameter Dependent Functions (1/5 on Apps of Der)

Derives Snell's law of refraction as an application of parameter dependent optimization. All videos and slides for single variable ...

Concise Modular Calculus [97/97]: Green's Theorem (5/5 on Vector Calculus/Vector Analysis)

Concise Modular Calculus [97/97]: Green's Theorem (5/5 on Vector Calculus/Vector Analysis)

Derives Green's Theorem as a two-dimensional version of Stokes' Theorem. Shows how Green's Theorem enables us to use line ...