Category Archives: Mathematics

Topic 20 – Introduction to Applied Machine Learning

Why do I need to learn about applied machine learning?

Machine learning has solved many important difficult problems recently. A few of them are speech recognition, speech synthesis, image recognition, autonomous driving and chat bots.
Nowadays a key skill of software developer is the ability to use machine learning algorithms solve real-world problems.

What can I do after finishing learning about applied machine learning ?

You will be to create software that could recognize speech, recognize a face, translate text to speech, translate a sentence from English to French, answer a customer's question.

That sounds useful! What should I do now?

Please attend this free "Machine Learning (Coursera)" course and audit this "Applied Machine Learning in Python (Coursera)" course first.
At the same time, please read
- this "Aurelien Geron (2017). Hands-On Machine Learning with Scikit Learn and TensorFlow. O’Reilly Media" book and
- this "Brett Lantz (2015). Machine Learning With R. 2nd Edition. Packt Publishing" book.

After that please audit these "Deep Learning Specialization" courses.
At the same time, please read
- this "Francois Chollet (2018). Deep Learning with Python. Manning Publications" book and
- this "Michael Nielsen (2015). Neural Networks and Deep Learning. Determination Press" book.

After that please read this "Christopher M. Bishop (2006). Pattern Recognition and Machine Learning. Springer" book.
After finishing reading these books please click Topic 21 - Introduction to Applied Computer Vision and Natural Language Processing to continue.

Topic 18 – Probability & Statistics

Why do I need to learn about probability and statistics?

Probability and statistics are fundamental tools for understanding many modern theories and techniques such as artificial intelligence, machine learning, deep learning, data mining, security, digital imagine processing and natural language processing.

What can I do after finishing learning about probability and statistics?

You will be prepared to learn modern theories and techniques to create modern security, machine learning, data mining, image processing or natural language processing software.

That sounds useful! What should I do now?

Please read this "Dimitri P. Bertsekas and John N. Tsitsiklis (2008). Introduction to Probability" book. Alternatively, please watch this "MIT 6.041SC Probabilistic Systems Analysis and Applied Probability, Fall 2013" course (Lecture Notes).
After finishing reading the book please click Topic 19 - Introduction to Computation and Programming Using Python to continue.

Topic 17 – Linear Algebra

Why do I need to learn about linear algebra?

Linear algebra is a fundamental tool for understanding many modern theories and techniques such as artificial intelligence, machine learning, deep learning, data mining, security, digital imagine processing and natural language processing.

What can I do after finishing learning about linear algebra?

You will be prepared to learn modern theories and techniques to create modern security, machine learning, data mining, image processing or natural language processing software.

That sounds useful! What should I do now?

Please read this "David C. Lay et al. (2016). Linear Algebra and Its Applications. 5th Edition." book.
Alternatively, please watch this "MIT 18.06 Linear Algebra, Spring 2005" course (Lecture Notes).
After finishing the books please click Topic 18 - Probability & Statistics to continue.

Topic 16 – Calculus

Why do I need to learn about calculus?

Calculus is a fundamental tool for understanding many modern theories and techniques to create software such as artificial intelligence, machine learning, deep learning, data mining, security, digital imagine processing and natural language processing.

What can I do after finishing learning about calculus?

You will then be able to learn modern theories and techniques to create security, data mining, image processing or natural language processing software.

What should I do now?

Please read
- this George B. Thomas et al. (2018). Thomas' Calculus: Early Transcendentals" book or
- this "James Stewart (2016). Calculus. Cengage Learning" book first.
Alternatively, please watch 
- this "MIT 18.01 Single Variable Calculus, Fall 2007" course (Lecture Notes) and 
- this "MIT 18.02 Multivariable Calculus, Fall 2007" course (Lecture Notes).
After finishing the books please click Topic 17 - Linear Algebra to continue.

Topic 14 – Introduction to Database Design

Why do I need to learn about database design?

Database is the heart of your application, especially enterprise applications. Designing a database incorrectly will cause your application eventually fail.

What can I do after finishing learning about database design?

You will know how to design a relational database and write SQL code PROPERLY. You will know how to build a data warehouse. You will know WHY you should use a relational database system and how it actually works.

That sounds useful! What should I do now?

Please read this "Stephane Faroult and Peter Robson (2006). The Art of SQL" book first.
Then please read
- this "W. H. Inmon (2005). Building the Data Warehouse" book and
- this "Ralph Kimball and Margy Ross (2013). The Data Warehouse Toolkit: The Definitive Guide to Dimensional Modeling" book and
- this "Vincent Rainardi (2007). Building a Data Warehouse: With Examples in SQL Server" book.
Finally, please read
- this "C. J. Date (2012). Database Design and Relational Theory: Normal Forms and All That Jazz" book and
- this "C.J. Date (2011). SQL and Relational Theory: How to Write Accurate SQL Code" book.
After finishing the books please click Topic 15 - Advanced Software Design to continue.