Skip to main content
  1. Data Science Blog/

Mathematics for Data Scientist

·340 words·2 mins· loading · ·
Data Science Mathematics Data Science Resources Mathematics for Data Science Mathematics Statistics Mathematics Fundamentals Mathematics for Machine Learning Optimization Theory

On This Page

Table of Contents
Share with :

Mathematics for Data Scientist

Mathematics for Data Scientist
#

To excel in the field of data science, especially as a data scientist, I would recommend you have good command over the topics mentioned below. These are the topics from mathematics and statistics. There are many YouTube channels that you can use for this purpose. Because this is 10+2 level mathematics, and it is just a matter of revision. So I am not offering any course unless there is a specific need for some group, organization.

Linear Algebra
#

  1. Introduction to Linear Algebra
  2. Eigenvalues And Eigenvectors
  3. Calculating Eigenvalues and Eigenvectors
  4. Eigen decomposition of a Matrix
  5. Eigenvectors: What Are They? Intuition behind.

Vectors, Matrices & Linear Transformations
#

** Vector & Vector Spaces **

  1. Vectors: The Basics
  2. Basis Vector
  3. Norm of a vector
  4. Identity matrix or operator
  5. Determinant of a matrix
  6. Column and Null Space
  7. Rank of a matrix
  8. Transpose of a matrix
  9. Inverse of a matrix
  10. Least Squares Approximation
  11. Linear Transformations
  12. Matrices: The Basics
  13. Matrix Operations
  14. Matrix operations and manipulations
  15. Dot product of two vectors
  16. Linear independence of vectors

 

Multivariable Calculus
#

  1. Critical Points, Maxima and Minima
  2. Differentiation
  3. Functions and Derivatives
  4. Functions: Primer
  5. Multivariable Functions
  6. Partial Derivatives
  7. Taylor Series and Linearization
  8. The Hessian
  9. The Jacobian
  10. Vector-Valued Functions

Probability
#

  1. Introduction to probability – probability, events, additive & multiplicative rule
  2. Basics of probability – random variables, probability distribution, expected value
  3. Joint and Conditional Probability
  4. Probability Rules
  5. Bayes’ Theorem

Statististics
#

  1. Descriptive statistics
  2. Inferential Statistics
  3. Prescriptive statistics
  4. What is sampling, different sampling techniques?
  5. Random Variable, Predictor, Predicted variables
  6. Data Distribution (continuous, discrete, Normal/Bernoulli, standard, binomial, Poisson, etc.)
  7. CDF (Cumulative Distribution Function), PDF (Probability Distribution Function)
  8. Statistical Measures (mean, mode, median, max, min)
  9. Measure of dispersion (range, standard deviation, variance, covariance, correlation, error deviation)
  10. Central Limit Theorem (CLT)
  11. What is Regression? How it works? OLS (Ordinary Least Square), Multi-linear regression.
  12. Standard Error
  13. Dimensionality Reduction (PCA)
  14. Parameter Properties (Bias, Consistency, Efficiency)
  15. Statistical tests t-test, z-test, ANOVA test, Chi-Square test
  16. Conditional Probability (Bayesian Theorem)
  17. Type I/Type II errors
  18. Hypothesis testing
  19. Confidence Interval & Significance Level (alpha)
  20. p-value and its interpretation
Dr. Hari Thapliyaal's avatar

Dr. Hari Thapliyaal

Dr. Hari Thapliyal is a seasoned professional and prolific blogger with a multifaceted background that spans the realms of Data Science, Project Management, and Advait-Vedanta Philosophy. Holding a Doctorate in AI/NLP from SSBM (Geneva, Switzerland), Hari has earned Master's degrees in Computers, Business Management, Data Science, and Economics, reflecting his dedication to continuous learning and a diverse skill set. With over three decades of experience in management and leadership, Hari has proven expertise in training, consulting, and coaching within the technology sector. His extensive 16+ years in all phases of software product development are complemented by a decade-long focus on course design, training, coaching, and consulting in Project Management. In the dynamic field of Data Science, Hari stands out with more than three years of hands-on experience in software development, training course development, training, and mentoring professionals. His areas of specialization include Data Science, AI, Computer Vision, NLP, complex machine learning algorithms, statistical modeling, pattern identification, and extraction of valuable insights. Hari's professional journey showcases his diverse experience in planning and executing multiple types of projects. He excels in driving stakeholders to identify and resolve business problems, consistently delivering excellent results. Beyond the professional sphere, Hari finds solace in long meditation, often seeking secluded places or immersing himself in the embrace of nature.

Comments:

Share with :

Related

Roadmap to Reality
·916 words·5 mins· loading
Philosophy & Cognitive Science Interdisciplinary Topics Scientific Journey Self-Discovery Personal Growth Cosmic Perspective Human Evolution Technology Biology Neuroscience
Roadmap to Reality # A Scientific Journey to Know the Universe — and the Self # 🌱 Introduction: The …
From Being Hacked to Being Reborn: How I Rebuilt My LinkedIn Identity in 48 Hours
·893 words·5 mins· loading
Personal Branding Cybersecurity Technology Trends & Future Personal Branding LinkedIn Profile Professional Identity Cybersecurity Online Presence Digital Identity Online Branding
💔 From Being Hacked to Being Reborn: How I Rebuilt My LinkedIn Identity in 48 Hours # “In …
Exploring CSS Frameworks - A Collection of Lightweight, Responsive, and Themeable Alternatives
·1378 words·7 mins· loading
Web Development Frontend Development Design Systems CSS Frameworks Lightweight CSS Responsive CSS Themeable CSS CSS Utilities Utility-First CSS
Exploring CSS Frameworks # There are many CSS frameworks and approaches you can use besides …
Dimensions of Software Architecture: Balancing Concerns
·871 words·5 mins· loading
Software Architecture Software Architecture Technical Debt Maintainability Scalability Performance
Dimensions of Software Architecture # Call these “Architectural Concern Categories” or …
Understanding `async`, `await`, and Concurrency in Python
·637 words·3 mins· loading
Python Asyncio Concurrency Synchronous Programming Asynchronous Programming
Understanding async, await, and Concurrency # Understanding async, await, and Concurrency in Python …