Master Math by Coding in Python

سرفصل های دوره

Use Python to learn algebra, calculus, graphing, trigonometry and more math topics!

01 - Introductions and installations

001 (Important) How to get the most out of this course!

002 Using Python through Jupyter (installing Anaconda)

003 Using Python online (no installation!)

004 Create a beautiful harmonograph!

004 MXC-pymath-harmonograph.zip

005 Getting help in Python

006 (optional) Entering time-stamped notes in the Udemy video player

02 - Arithmetic

001 Python code for this section.html

001 pymath-arithmetic-pythonCodes.zip

002 Addition, subtraction, multiplication, division

003 Using variables in place of numbers

004 Printing out equations in Jupyter notebook

005 Writing comments in Python

006 Exponents (powers)

007 Using for-loops to compute powers

008 Order of operations

009 Testing inequalities and Boolean data type

010 Using if-statements and logical operators

011 Absolute value

012 Remainder after division (modulus)

013 Create interactive math functions, part 1

014 Create interactive math functions, part 2

015 Create interactive math functions, part 3

016 Arithmetic bug hunt!

03 - Introduction to Sympy and LaTeX

001 Python code for this section.html

001 pymath-sympyLatex-pythonCodes.zip

002 Intro to Sympy, part 1

003 Intro to LaTeX

004 Intro to Sympy, part 2

005 Printing with f-strings

006 Example Use Sympy to understand the law of exponents

007 SympyLatex bug hunt!

04 - Python data types

001 Python codes for this section.html

001 mxc-pymath-datatypes.zip

002 Numbers and strings

003 Lists and numpy arrays

05 - Algebra 1

001 Python code for this section.html

001 pymath-algebra1-pythonCodes.zip

002 Solving for x

003 Solving for x exercises

004 Expanding terms

005 Creating and accessing matrices with numpy

006 Exercise Create a multiplication table

007 Associative, commutative, and distributive properties

008 Creating and working with Python lists

009 More on slicing in Python

010 Greatest common denominator

011 Greatest common denominator exercises

012 Introduction to Python dictionaries

013 Prime factorization

014 Solving inequalities

015 Adding polynomials

016 Multiplying polynomials

017 Dividing by polynomials

018 Factoring polynomials

019 Algebra 1 bug hunt!

06 - Graphing and visualization

001 Python code for this section.html

001 pymath-graphing-pythonCodes.zip

002 Plotting coordinates on a plane

003 Plotting coordinates on a plane exercise

004 Graphing lines part 1 startend notation

005 Graphing lines part 2 slope-intercept form

006 Graphing rational functions

007 Plotting with Sympy

008 Plotting with Sympy exercises

009 Course tangent self-accountability in online learning

010 Making images from matrices

011 Images from matrices exercise

012 Drawing patches with polygons

013 Exporting graphics as pictures

014 Graphing bug hunt!

07 - Algebra 2

001 Python code for this section.html

001 pymath-algebra2-pythonCodes.zip

002 Summation and products

003 Differences (discrete derivative)

004 Roots of polynomials

005 Roots of polynomials exercise

006 The quadratic equation

007 Complex numbers addition and subtraction

008 Complex numbers conjugate and multiplication

009 Complex numbers division

010 Graphing complex numbers

011 Revisiting the quadratic equation with complex numbers

012 The unit circle

013 Natural exponent and logarithm

014 Find a specific point on a Gaussian

015 Exercise A family of Gaussians

016 Graphing the complex roots of unity

017 Log-spaced and linearly spaced numbers

018 Logarithm properties Multiplication and division

019 Arithmetic and geometric sequences

020 Orders of magnitude and scientific notation

021 Maxima and minima of functions

022 Even and odd functions

023 Algebra 2 bug hunt!

08 - Graphing conic sections

001 Python code for this section.html

001 pymath-conics-pythonCodes.zip

002 Graphing parabolas

003 Creating contours from meshes in Python

004 Graphing circles

005 Graphing ellipses

006 Graphing hyperbolas

007 Conic bug hunt!

09 - Trigonometry

001 Python code for this section.html

001 pymath-trigonometry-pythonCodes.zip

002 Introduction to random numbers

003 Introduction to random numbers exercise

004 Exercise Plotting random phase angles

005 Converting between radians and degrees

006 Converting angles exercise

007 The Pythagorean theorem

008 Graphing resolution for sine, cosine, and tangent

009 Graphing and resolution Exercise

010 Eulers formula

011 Eulers formula exercise

012 Exercise random exploding Euler

013 Exercise random snakes with cosine and sine

014 Trigonometry bug hunt!

10 - Art from trigonometry

001 MXC-pymath-art-from-trig.zip

001 Python code for this section.html

002 Astroid radial curve

003 Rose curves

004 Squircle

005 Logarithmic spiral

006 Logistic map

11 - Calculus

001 Python code for this section.html

001 pymath-calc.zip

002 Mathematical proofs vs. intuition with examples

003 Computing limits of a function

004 Computing limits exercise

005 Piecewise functions

006 Derivatives of polynomials

007 Derivatives of polynomials exercise

008 Derivatives of trig functions

009 Derivatives of trig functions exercise

010 Graphing a function tangent line

011 Graphing tangent lines exercise

012 Finding critical points

013 Finding critical points exercise

014 Partial derivatives

015 Indefinite and definite integrals

016 Exercise The fundamental theorem of calculus

017 Area between two curves

018 Area between two curves exercise

019 Calculus bug hunt!

12 - Linear algebra

001 Python code for this section.html

001 pymath-linalg.zip

002 Row and column vectors

003 Adding and scalar-multiplying vectors

004 The dot product

005 Dot product application Correlation coefficient

006 The outer product

007 Matrix multiplication

008 Transposing vectors and matrices

009 Various special matrices

010 Matrix inverse

011 Matrix pseudoinverse exercise

012 Solving a system of equations

013 Visualizing matrix-vector multiplication

014 Eigenvalues and eigenvectors

015 Eigendecomposition Exercise

016 Singular value decomposition

017 SVD of Einstein exercise

018 Linear algebra BUG HUNT!

13 - Probabilities and histograms

001 Python codes for this section.html

001 pymath-probability-pythonCodes.zip

002 Histograms and probability densities

003 Probability exercise math functions

004 Virtual coin tosses

005 Exercise Virtual weighted dice

006 Building distributions from random numbers

007 Exercise Normalize any distribution to Gaussian

008 The central limit theorem

009 Exercise the central limit theorem

010 Joint probability distributions

011 Probability bug hunt!

14 - Number theory

001 MXC-pymath-numberTheory.zip

001 Python codes for this section.html

002 Counting perfect numbers

003 Euclids Pythagorean triplets

004 Fermats theorem

005 Plotting number sequences

006 Exercise condivergent sequences

007 Herons method of square roots

008 Exercise Herons mosquito spaceship #13

009 Smooth numbers

010 Exercise Smooth numbers

011 Number theory bug hunt!

15 - Bonus section

001 Bonus lecture.html

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