Creating and Manipulating Symbolic Expressions in PythonCreating symbolic expression in Python and then factoring, expanding, and simplifying the expressions

Solving Equations Symbolically in PythonSolving equations symbolically in Python and interpreting the results

Plotting Expressions and Solving Equations Numerically in PythonVideo 5 in a series of Python instructional videos

List Comprehension and Numerical, Graphical, and Symbolic Limits in PythonUsing Python to numerically estimate a limit, graphically estimate a limit, and find the exact limit

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

Word Problems and the Algorithmic Process for Multistep Problem Solving in PythonSolving a multistep word problem in Python and graphing the resulting function

Simplifying Difference Quotients in PythonUsing Python to simplify a difference quotient and find a derivative using the limit definition

Finding and Graphing Tangent Lines to a Curve in PythonUsing Python to find the equation of the tangent line to a curve and graphing the result

Finding Horizontal Tangent Lines in PythonFinding when the tangent line to a function is horizontal in Python

List Comprehension and Patterns in Higher Derivatives in PythonUsing Python's list comprehension tool to find several higher order derivatives of a function at once

Implicit Plots and Implicit Differentiation in PythonUsing Python to plot an implicit curve and find a tangent line using implicit differentiation

Parametric Plots and Tangents at a Given t-value in PythonUsing Python to find the tangent line to a parametric equation and plot the two graphs

Tangents to Parametrized Curves at a Given Point in PythonVideo 17 in a series of Python instructional videos

Finding Absolute (Global) Extrema in PythonUsing Python to find the absolute maximum and minimum of a function on a closed interval

Finding Intervals of Increase/Decrease and Concavity in PythonUsing Python to find the intervals where a function is increasing or decreasing

Approximating Definite Integrals with Riemann Sums in PythonUsing Python to approximate a definite integral using left endpoint Riemann sums

Areas Between Curves in PythonUsing Python to identify the region between curves and then evaluate the area of the region

Calculating Work in Python: Pumping Liquid from a TankVideo 24 in a series of Python instructional videos

Generating and Plotting Sequences in PythonUsing Python to numerically, graphically, and analytically find the limit of a sequence

Generating and Plotting Partials Sums of a Series in PythonUsing Python to calculate the partial sums of a series to estimate the value of the series

For Loops and Recursive Sequences in PythonUsing for loops in Python to generate a recursively defined sequence

Radius and Interval of Convergence in PythonUsing Python to find the radius and interval of convergence of a power series with the Ratio Test

Plotting a Function and Partial Sums of its Power Series in PythonVideo 29 in a series of Python instructional videos