Math for Data science,Data analysis and Machine Learning

Descripción

In this course, we will learn Math essentials for Data science,Data analysis and Machine Learning. We will also discuss the importance of Linear Algebra,Statistics and Probability,Calculus and Geometry in these technological areas. Since data science is studied by both the engineers and commerce students ,this course is designed in such a way that it is useful for both beginners as well as for advanced level. The lessons of the course is also beneficial for the students of Computer science /artificial intelligence and those learning Python programming. Here, this course covers the following areas : • Importance of Linear Algebra • Types of Matrices • Addition of Matrices and its Properties • Matrix multiplication and its Properties • Properties of Transpose of Matrices • Hermitian and Skew Hermitian Matrices • Determinants ; Introduction • Minors and Co factors in a Determinant • Properties of Determinants • Differentiation of a Determinant • Rank of a Matrix • Echelon form and its Properties • Eigenvalues and Eigenvectors • Gaussian Elimination Method for finding out solution of linear equations • Cayley Hamilton Theorem • Importance of Statistics for Data Science • Statistics : An Introduction • Statistical Data and its measurement scales • Classification of Data • Measures of Central Tendency • Measures of Dispersion: Range, Mean Deviation, Std. Deviation & Quartile Deviation • Basic Concepts of Probability • Sample Space and Verbal description & Equivalent Set Notations • Types of Events and Addition Theorem of Probability • Conditional Probability • Total Probability Theorem • Baye's Theorem • Importance of Calculus for Data science • Basic Concepts : Functions, Limits and Continuity • Derivative of a Function and Formulae of Differentiation • Differentiation of functions in Parametric Form • Rolle;s Theorem • Lagrange's Mean Value Theorem • Average and Marginal Concepts • Concepts of Maxima and Minima • Elasticity : Price elasticity of supply and demand • Importance of Euclidean Geometry • Introduction to Geometry • Some useful Terms,Concepts,Results and Formulae • Set Theory : Definition and its representation • Type of Sets • Subset,Power set and Universal set • Intervals as subset of 'R' • Venn Diagrams • Laws of Algebra of Sets • Important formulae of no. of elements in sets • Basic Concepts of Functions • Graphs of real valued functions • Graphs of Exponential , Logarithmic and Reciprocal Functions Each of the above topics has a simple explanation of concepts and supported by selected examples. I am sure that this course will be create a strong platform for students and those who are planning for appearing in competitive tests and studying higher Mathematics . You will also get a good support in Q&A section . It is also planned that based on your feed back, new course materials will be added to the course. Hope the course will develop better understanding and boost the self confidence of the students. Waiting for you inside the course! So hurry up and Join now !!

Lo que aprenderás

• Learn the foundational concepts of Linear Algebra
• Learn the foundational concepts of statistics
• Learn the foundational concepts of Geometry
• Learn the foundational concepts of Calculus
• Application of key mathematical topics

Requisitos

• Basic knowledge of Math will be needed to finish the course