When it comes to programming, everybody is talking about app or web development. And when it comes to web development, Python is ahead of all others. But Python is also used for many Engineering applications, Scientific computation, Data analysis, and research. In short, Python is a common tool for solving many engineering problems.
The easy syntax enables students to express their concepts in fewer lines. It helps you to work quickly and more easily integrate the systems. So, it is the best programming language to begin with. Also, if you are thinking of going towards Machine learning, Data science or Web development then you can expertise on respective Python library.
Mathematical Python is an introduction to programming in mathematics including:
- Jupyter Notebook, Latex, and Markdown
- Basic programming in Python: datatypes, logic, loops, and functions
- Scientific programming using NumPy, Matplotlib and SciPy
- Calculus, linear algebra, and differential equations
Introduction to course
In this course, we will learn the basics of Python and will proceed with our discussion with how we can go move away to solve mathematical problems. This is the hand-guide course for the absolute beginner that will take you from beginner level to advanced level in 1 hour.
Enroll now: Python for Mathematics
These are the different modules that I have introduced in this course.
There are many coding platforms in the market. It is hard to choose the right one. Firstly, the light-weight Visual Studio Code is the best for any kind of coding. Following that, Sublime Text Editor has also left its mark in the path.
- Meanwhile, we will learn to install the best of all for the python. Anaconda is free and open-source distribution. It’s for scientific computing of the Python and R programming languages.
Most important, it aims to simplify package management and deployment. The distribution provides software for Windows, Linux and mac OS. Mostly, these are for data-science purposes.
The values that differ in python are variables and data types as the name implies. Further, variable in a programming language is a location of the memory where you store a value. As a result, the value you have stored may be changing according to the specifications in the future.
A Python variable is generated as soon as it is assigned a value. To declare a variable in python it doesn’t require any additional commands. There are some rules and regulations that we must obey when writing a variable.
Enroll into the free course to understand how we declare a variable in python.
According to the properties they possess, there are primarily six data forms in python. Although there is one more data form set which is mostly used when dealing with loops in python. In this python course for mathematics, we will be learning the basics of them.
It’s the basic course, so we will not also be talking about the advance data forms. We will learn about strings, integers, list, sets and dictionary. It’s the basics of any programming. As the first famous line Print(“Hello World”) also prints string.
Numbers are the base of any programs. As well as arithmetic calculations too. It was taught to us since childhood. A line of question with operators. An operator is a symbol or function. It is an operation indicator.
In math, for instance, the plus sign or + is the operator indicating an addition. In Python we’ll see some common operators being brought over from math. But other operators we’ll be using are computer programming specific. Here’s a simple reference table of operators in Python related to math. Within this course we will cover all of the following operations.
Python Libraries and Packages are a collection of useful modules and functions. They optimize code consumption in our daily lives. There are more than 137,000 python libraries. Moreover, 198,826 python packages ready to ease the everyday programming. In addition, it enhances experience for developers.
Hence, these libraries are designed to tackle a range of modern solutions. Python libraries and modules play an significant part in our daily machine learning. In fact, their use is not restricted solely to machine learning. Data science, manipulation of image and data, visualization of data-everything is part of their generous applications. In this course, We will be using Sympy and Math libraries.
Functions and Graphs:
In mathematics, a function is a binary relationship between two sets. They link each element of the first set to exactly one element of the second set. Typical examples are functions ranging from integer to integer. Moreover, from real to real numerals.
The function graph f is a set of ordered pairs, where f(x) = y. Commonly, x and f(x) are the real numbers. These pairs are two-dimensional Cartesian coordinates of points. Thus, form a subset of this plane. In this course, we will learn to define the function. As well as, we will learn to plot the graph of function. Meanwhile, we will get the quick idea of solving.
Algebra, along with the number theory, geometry and analysis. It is one of the large sections of mathematics. Algebra is the analysis of mathematical symbols in its most general form. Moreover, the rules for manipulating such symbols. It is a unifying thread in nearly all mathematics.
For this, we will be using Sympy library. You have to define symbols before use in python. Otherwise, it might collide with the variables. Also, all the used materials should be defined except the variables. In this course, we will learn about above-mentioned.
Python doesn’t have a built-in method for matrices. However, Matrix is the list of a list. For example:A = [[1, 4, 5], [-5, 8, 9]]
We can say this list containing list as a matrix of 2 rows and 3 columns. Here are few more topic related to Python matrices using nested lists.
- Add two matrices
- Subtract two matrices
- Determinant of a Matrix
- Multiply two matrices
- Eigen Values
We will be covering all of these in our Python course.
The Solve() function of SymPy can be used to solve equations. Moreover, expressions containing symbolic variables in math. Using the Solve() function of SymPy, a simple equation which contains one variable like x−4−2=0 can be solved. The solution is in the form of a list where only one element is a part of the solution.
It can also solve two solution function, Quadratic function. In addition, the solving of two equations and many more can also be solved. For the detailed process, you can enroll in our free course. It is freely available in Udemy.
This will be something addressed in your Calculus 1 class or online course. It includes only functions that deal with single variables. For example, f(x). The goal is to go through some simple differentiation rules, go through them by hand, and then in Python. It’s not that, we will be only focusing on one variable.
We will start with it and go to the complex one. In this one hour course, we will also be covering the second and third derivatives. After that, you can go on yourself to do the further derivatives. Here, power rule, product rule and many others are not disclosed. But, it will give you the quick answer of derivative.
If you want to check your answer this is perfect. Also you can develop a program. If you pay close attention, you can get idea of getting step by step answer with loop.
Enroll now: Python for Mathematics
Some quant problems involve intensive work, given initial conditions, with mathematical (time-)series. We will be solving many problems in this short lesson on Python. We will solve it analytically and with the aid of Python. In this course, we will learn to define limits. We will also learn the use of variables in limits. Moreover, its syntax which can be very helpful.
Along with the derivative, we will also be teaching to solve the integration. In this short course, the brief teaching of integration is done. Double integration is simple. So, we have reached up to the triple integration.
Triple integration can be easily done with this. And, after you have clearly understood the concept, you can go on. No matter how much integration sign is there in the problem. It’s just a thing of few minutes.
Series and Expansion:
The solving of series of function could be a problem of more than few minutes. But, with the help of few codes of python, it will be less than a minutes. You will also learn to expand the series.
It will not be depend on the problem but on your RAM. It will be solved in few seconds if you have a nice typing speed. Also, You need knowledge.
If you have reached up to here, you must know about differential equation. There are many problems of differential equation from simple to complex. So, we have tried of best to teach you the solving codes of python. It is easy and a matter of few seconds. Enroll in to this free course and get a better knowledge.
With this course, you are no longer a beginner in python and could solve many problems in math. After this, you can pursue other inter-mediate courses about different libraries of Python.
we will publish a course on Python Numerical Computing Soon.
In addition to its simplicity and usability, Python is a great programming language for education. As well as a strong tool in computational science and engineering. Python and its data and numerical analysis and plotting libraries, such as NumPy, SciPy, and matplotlib, have been a popular programming language and resource in industry and academia for the past several years.