# Python Instructional Video Series

### An example-based guide to using Python to solve math problems.

• A link to the transcript is embedded in the title of each video.

# Title Video
00 Introduction and Installation
Transcript 00
01 Numerical Calculations in Python
Transcript 01
02 Using Variables in Python
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03 Creating and Manipulating Symbolic Expressions
Transcript 03
04 Solving Equations Symbolically
Transcript 04
05 Plotting Expressions and Solving Equations Numerically
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06 Plotting Multiple Expressions in One Graph
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07 List Comprehension and Numerical, Graphical, and Symbolic Limits
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08 Finding Derivatives
Transcript 08
09 Definite and Indefinite Integrals
Transcript 09
10 Word Problems and the Algorithmic Process for Multistep Problem Solving
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11 Simplifying Difference Quotients
Transcript 11
12 Finding and Graphing Tangent Lines to a Curve
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13 Finding Horizontal Tangent Lines
Transcript 13
14 List Comprehension and Patterns in Higher Derivatives
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15 Implicit Plots and Implicit Differentiation
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16 Parametric Plots and Tangents at a Given t-value
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17 Tangents to Parametrized Curves at a Given Point
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18 Finding Absolute (Global) Extrema
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19 Finding Intervals of Increase/Decrease and Concavity
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20 Approximating Definite Integrals with Riemann Sums
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21 Areas Between Curves
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22 Volumes of Revolution
23 Work: Hooke’s Law
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24 Work:  Pumping Liquid from a Tank
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25 Generating and Plotting Sequences
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26 Generating and Plotting Partials Sums of a Series
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27 For Loops and Recursive Sequences
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28 Radius and Interval of Convergence
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29 Plotting a Function and Partial Sums of its Power Series
Transcript 29