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Creating and Manipulating Symbolic Expressions in Python

Creating symbolic expression in Python and then factoring, expanding, and simplifying the expressions

Numerical Calculations in Python

Performing basic numerical calculations in Python

Plotting Expressions and Solving Equations Numerically in Python

Plotting an expression in Python and finding a numerical approximation for the solution

Plotting Multiple Expressions in One Graph in Python

Graphing a piecewise function using Python

Solving Equations Symbolically in Python

Solving equations symbolically in Python and interpreting the results

Using Variables in Python

Defining variables in Python and using the variables in equations

Tangents to Parametrized Curves at a Given Point in Python

Using Python to plot a parametrized curve and its tangent line at a point

Implicit Plots and Implicit Differentiation in Python

Using Python to plot an implicit curve and find a tangent line using implicit differentiation

Simplifying Difference Quotients in Python

Using Python to simplify a difference quotient and find a derivative using the limit definition

Word Problems and the Algorithmic Process for Multistep Problem Solving in Python

Solving a multistep word problem in Python and graphing the resulting function

Parametric Plots and Tangents at a Given t-value in Python

Using Python to find the tangent line to a parametric equation and plot the two graphs

List Comprehension and Numerical, Graphical, and Symbolic Limits in Python

Using Python to numerically estimate a limit, graphically estimate a limit, and find the exact limit

List Comprehension and Patterns in Higher Derivatives in Python

Using Python's list comprehension tool to find several higher order derivatives of a function at once

Approximating Definite Integrals with Riemann Sums in Python

Using Python to approximate a definite integral using left endpoint Riemann sums

Definite and Indefinite Integrals in Python

Solving definite and indefinite integrals in Python

Finding Absolute (Global) Extrema in Python

Using Python to find the absolute maximum and minimum of a function on a closed interval

Finding and Graphing Tangent Lines to a Curve in Python

Using Python to find the equation of the tangent line to a curve and graphing the result

Finding Derivatives in Python

Finding derivatives in Python and solving for the rate of change of a force

Finding Horizontal Tangent Lines in Python

Finding when the tangent line to a function is horizontal in Python

Finding Intervals of Increase/Decrease and Concavity in Python

Using Python to find the intervals where a function is increasing or decreasing

For Loops and Recursive Sequences in Python

Using for loops in Python to generate a recursively defined sequence

Generating and Plotting Partials Sums of a Series in Python

Using Python to calculate the partial sums of a series to estimate the value of the series

Generating and Plotting Sequences in Python

Using Python to numerically, graphically, and analytically find the limit of a sequence

Areas Between Curves in Python

Using Python to identify the region between curves and then evaluate the area of the region

Calculating Work in Python: Hooke’s Law

Using Python to calculate the amount of work done in moving a spring using Hooke's Law

Calculating Work in Python: Pumping Liquid from a Tank

Using Python to calculate the work done in pumping the liquid from a tank whose ends are semicircles

Plotting a Function and Partial Sums of its Power Series in Python

Video 29 in a series of Python instructional videos

Radius and Interval of Convergence in Python

Using Python to find the radius and interval of convergence of a power series with the Ratio Test

Volumes of Revolution in Python

Finding the volume of a solid of revolution in Python