Your journey begins here as you learn how to set up a Colab Notebook that can run Python code. Then, use the notebook to follow along with the videos to learn ratios and proportions using Python.

Learn Ratios and Proportions

Introduction to College Algebra with Python

When adding text in Google Colab, what symbol would you use to create a heading that will appear in the table of contents?



Introduction to College Algebra with Python / Quize

Solving Proportions

In solving a proportion, if one numerator is zero, does the other numerator have to be zero for the statement to be true?



Solving Proportions/ / Quize

Ratios and Proportions: Extra

What is another way to write 0.9999... (repeating 9)?



Ratios and Proportions: Extra / Quize

This unit will focus on how to solve for an unknown number (often referred to as "x") using written Algebra and Python code.




Learn How to Solve for X

Solving for X

In Python, what is the library you import to solve algebra problems with variables?



How to Solve for X: Extra

If you import sympy and define x as a variable, what would be the output from the following code?

example = 3*x - 12
equation = Eq(example,0)
solution = solve(equation,x)
print(solution)

How to Solve for X: Extra / Quize

This unit will focus on converting decimals to fractions and percents.




Learn Fractions and Decimals

Converting Fractions and Decimals

Which of the following correctly represents "three hundredths" as a decimal?



Converting Fractions and Decimals / Quize

Fractions and Decimals: Extra

Which of the following languages can you not use in Google Colaboratory?



This unit will teach you about math functions.




Learn Functions and Graphing

Functions

After defining a function in Python, indent each line of the function how many spaces?



Functions / Quize

Graphing

Which of the following would put a blue line on a graph?



Graphing / Quize

Functions and Graphing: Extra

What Python library would you import to create arrays that you can graph?



Functions and Graphing: Extra / Quize

This unit will show you how to develop linear equations from two points.




Learn Linear Functions

Slope

If you have already defined these variables, which of the following is the correct slope formula?



Slope 

Linear Equations

If you know the slope ("m") and you have one (x,y) coordinate point, which of the following equations could you use to find "b", representing the y-intercept in Python?



Linear Equations/ Quize

Linear Functions: Extra

Which of the following would you not use when displaying a graph?



Linear Functions: Extra/ Quize

In this unit, you will learn how to find common factors and divide them out. This will be useful when simplifying fractions and factoring square roots.




Learn Common Factors and Square Roots

Factoring

What does the modulus (%) operator do in Python?



This is one of the required projects to earn your certification.

For this project, you will build a multi-function calculator.

Multi-Function Calculator

You will be https://colab.research.google.com/drive/1jT7atuRCOnkdPyDmlgKVJqxouDSx7Ioh?usp=sharing

After going to that link, create a copy of the notebook either in your own account or locally. Once you complete the project and it passes the test (included at that link), submit your project link below. If you are submitting a Google Colaboratory link, make sure to turn on link sharing for "anyone with the link."

For this challenge, you need to create a multi-function calculator using Python that take input and do the following:

solve proportions
solve for x in equations
factor square roots
convert decimals to fractions and percents
convert fractions to decimals and percents
convert percents to decimals and fractions

If you are struggling, you can follow the https://www.youtube.com/embed/PdsvcZNPEEs

Once you're done, submit the URL to the public Colab notebook on your Google drive.



Build a Multi-Function Calculator

This unit will focus on graphing two equations on the same coordinate plane, so that you can see where the lines intersect.




Learn How to Graph Systems of Equations

Graphing Systems

The numpy linspace() function takes three arguments to create an array. Which of the following arguments does it not take?



Graphing Systems/ Quize

Graphing Systems of Equations: Extra

If you want to create an interactive plot with a slider to zoom in and out, where does most of the graphing code appear?



In this unit, you will learn how to solve a system of two equations (with two variables) without graphing. You will see how you can factor an equation and solve for a certain variable in Python. By the end of this unit, you will be able to solve and graph the system with one block of code.




Learn How to Solve Systems of Equations

Solving Systems

Which of the following can SymPy do that matplotlib can't do?



Solving Systems/ Quize

Solving Systems of Equations: Extra

Solving Systems of Equations: Extra/ Quize

In this unit, you will see how you can use the algebra you learned so far to solve real world problems.

Learn Applications of Linear Systems

Word Problems

Which of the following key words indicate subtraction?



Word Problems/ Quize

Applications of Linear Systems: Extra

How can you make use of a Colab notebook to solve practical business problems?



Applications of Linear Systems: Extra/ Quize

This unit will go beyond linear equations, to work with exponents and graph parabolas. You will learn how to find key points in parabolas and how to solve quadratic equations.




Learn Quadratic Equations

Quadratics

In Python code, what is the formula for the x value of the vertex?



Quadratics/ Quize

This is one of the required projects to earn your certification.

For this project, you will build a graphing calculator.

Graphing Calculator

You will be working on this project with Google Colaboratory.

After going to that link, create a copy of the notebook either in your own account or locally. Once you complete the project and it passes the test (included at that link), submit your project link below. If you are submitting a Google Colaboratory link, make sure to turn on link sharing for "anyone with the link."

For this challenge, you need to create a graphing calculator using Python that can take input and do the following:

Graph one or more functions
Create a table of (x,y) values
Shade above or below the line
Solve and graph a system of equations
Zoom in or out on a graph
Solve quadratic equations
If you are struggling, you can follow the video walkthrough for this project.

Once you're done, submit the URL to the public Colab notebook on your Google drive.



Build a Graphing Calculator

This unit will show you many different types of "parent" graphs, the basic patterns that make up more complicated graphs. Polynomials are mathematical expressions with "multiple things" - the more complicated equations that are built with basic patterns. You will see what these graphs look like, how to modify them, and how to do this all with Python code.




Learn Parent Graphs and Polynomials

Parent Graphs

Parent Graphs/ Quize

Parent Graphs and Polynomials: Extra

How many sliders would you add to change the coefficients in a quadratic graph?



Parent Graphs and Polynomials: Extra/ Quize

This is one of the required projects to earn your certification.

For this project, you will build three math games.

Three Math Games

ou will be working on this project with Google Colaboratory.

Once you complete the project, submit your project link below. If you are submitting a Google Colaboratory link, make sure to turn on link sharing for "anyone with the link."

For this challenge, you need to create three math games using Python that do the following:

Scatter plot game
Randomly generate points on a graph and the player has to input the (x,y) coordinates
For added difficulty, make the graph larger
Algebra practice game
Generate one-step and two-step problems with random integer values and the player has to input the answer
Use positive and negative values. For added difficulty, make the numbers larger
Projectile game
Display a "wall" with random height and location. Player has to move

Build Three Math Games

This unit will show you how to apply your solving and graphing skills to find cost, revenue, and profit. You will write code to develop a demand function from two points. You will see how price affects the profit graph and how all of these equations relate to each other.




Learn Business Applications of College Algebra

Demand and Revenue

Which of the following business equations is not correct?



Demand and Revenue/ Quize

Business Applications of College Algebra: Extra

Which of the following is not true of supply and demand graphs?



Business Applications of College Algebra: Extra/ Quize

This unit will show you how to calculate interest, loan payments, and the estimated value of investments. You will see the math formula and turn that into code. Because these formulas tend to get complicated, you will appreciate having the code where you can just modify a few values.




Learn Simple and Compound Interest

Simple and Compound Interest

In percent increase formulas, what does the "principle" refer to?



Simple and Compound Interest/ Quize

Simple and Compound Interest: Extra

What marker do you use to attach a formula to a cell in a spreadsheet?



Simple and Compound Interest: Extra/ Quize

This unit will show you how exponents and logarithms are inverse functions, and how you can use these functions in various applications.




Learn Exponents and Logarithms

Exponents and Logarithms

Exponents and Logarithms/ Quize

This is one of the required projects to earn your certification.

For this project, you will build a financial calculator.

Financial Calculator

You will be working on this project with Google Colaboratory.

After going to that link, create a copy of the notebook either in your own account or locally. Once you complete the project and it passes the test (included at that link), submit your project link below. If you are submitting a Google Colaboratory link, make sure to turn on link sharing for "anyone with the link."

For this challenge, you need to create a financial calculator using Python that take input and do the following:

Calculate annuity with monthly or continuous growth
Calculate monthly mortgage payment
Estimate retirement investment balance
Determine how long until an amount doubles, given the rate
Solve logarithmic equations
Convert to (and from) scientific notation
If you are struggling, you can follow the video walkthrough for this project.

Once you're done, submit the URL to the public Colab notebook on your Google drive.



Build a Financial Calculator

This will be the last unit in this course. Let's look at how you can connect your Math and Python knowledge with external data.




College Algebra with Python: Conclusion

Spreadsheets and Additional Resources

What library helps you to read data from a .csv and store it as a dataframe where you can select columns?



Spreadsheets and Additional Resources/ Quize

More Resources in Colab

Which code snippets are available in the Google Colaboratory?



You will be working on this project with Google Colaboratory.

Once you complete the project, submit your project link below. If you are submitting a Google Colaboratory link, make sure to turn on link sharing for "anyone with the link."

For this challenge, you need to create a data graph explorer using Python that take input and do the following:

Get a .csv file in three ways
uploading it from the local computer
getting a url from user input
putting the url in the code
Use the Pandas library to save the .csv as a dataframe
Print headings and the first two rows
Store the column names as a list
Choose one or two columns and convert the data to Numpy arrays
Display data as a scatter plot or a line graph
Be able to do this for different column combinations, and interpret the graphs
Once you're done, submit the URL to the public Colab notebook on your Google drive.

Build a Data Graph Explorer

Data Graph Explorer

This course is designed as a one-semester college course. It consists of instructional videos, with Google Colaboratory notebooks to follow along interactively, assignments, and challenging projects.

As you go through each part of this course in sequence, you will gain a full understanding of Algebra and how to write Python code to solve Algebra problems.

Throughout this course, you will also build your own Algebra Colab notebook that you will be able to use as your custom calculator. This course (and the code you write here) will give you the foundation for a deeper math and data science understanding.



Throughout this course, you will also build your own Algebra Colab notebook that you will be able to use as your custom calculator. This course (and the code you write here) will give you the foundation for a deeper math and data science understanding.

College Algebra with Python

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