University of Pittsburgh
Mathematical Foundations for Data Science and Analytics Specialization
University of Pittsburgh

Mathematical Foundations for Data Science and Analytics Specialization

Master Mathematical Foundations for Data Science. Gain Advanced Skills in Linear Algebra, Calculus, Probability, and Regression Analysis

Included with Coursera Plus

Learn more

Get in-depth knowledge of a subject
Beginner level
No prior experience required
Flexible schedule
1 month at 10 hours a week
Earn a career credential
Share your expertise with employers
Get in-depth knowledge of a subject
Beginner level
No prior experience required
Flexible schedule
1 month at 10 hours a week
Earn a career credential
Share your expertise with employers

Overview

  • Perform vector and matrix arithmetic using NumPy for data science.

  • Calculate expected values and apply normal distribution for analysis.

  • Perform derivatives and integrals for optimization in data science.

  • Apply probability theory and regression methodologies with Python.

What’s included

Shareable certificate

Add to your LinkedIn profile

Taught in English
Recently updated!

August 2025

16 practice exercises

Advance your subject-matter expertise

  • Learn in-demand skills from university and industry experts
  • Master a subject or tool with hands-on projects
  • Develop a deep understanding of key concepts
  • Earn a career certificate from University of Pittsburgh

Specialization - 3 course series

What you'll learn

  • Master vector and matrix arithmetic, and eigen calculations using NumPy for data science tasks.

  • Solve linear equations, and invert matrices using Python’s Pandas for efficient data handling.

  • Implement ordinary least squares regression to fit linear models, and predict data trends.

  • Visualize data effectively using Python libraries for insightful data analysis and presentation.

Skills you'll gain

Category: Scatter Plots
Category: Matplotlib
Category: Numerical Analysis
Category: Logical Reasoning
Category: Mathematics and Mathematical Modeling
Category: Pandas (Python Package)
Category: Linear Algebra
Category: Mathematical Modeling
Category: Data Manipulation
Category: Data Science
Category: Python Programming
Category: Computational Logic
Category: Data Analysis
Category: Regression Analysis
Category: NumPy
Category: Data Visualization Software
Category: Machine Learning
Category: Applied Mathematics

What you'll learn

  • Calculate expected values and apply normal distribution for statistical analysis.

  • Perform derivative calculations for optimization and rate of change analysis.

  • Solve complex integrals using Python for continuous data analysis.

  • Apply statistical and calculus methods in Python for predictive modeling.

Skills you'll gain

Category: Advanced Mathematics
Category: Algorithms
Category: Descriptive Statistics
Category: Integral Calculus
Category: Applied Mathematics
Category: Derivatives
Category: Probability Distribution
Category: Statistics
Category: Data Science
Category: Mathematics and Mathematical Modeling
Category: Statistical Analysis
Category: Mathematical Modeling
Category: Statistical Modeling
Category: Probability & Statistics
Category: Machine Learning
Category: Calculus
Category: Data Analysis

What you'll learn

  • Calculate conditional probabilities and apply Bayes' Theorem for data inference.

  • Understand and apply various probability distributions for statistical analysis.

  • Perform ordinary least squares regression to fit linear models to data.

  • Analyze datasets using advanced regression techniques in Python.

Skills you'll gain

Category: Data Science
Category: Probability & Statistics
Category: Supervised Learning
Category: Statistical Modeling
Category: Machine Learning
Category: Statistics
Category: Predictive Modeling
Category: Algorithms
Category: Regression Analysis
Category: Statistical Machine Learning
Category: Probability
Category: Applied Mathematics
Category: Machine Learning Algorithms
Category: Statistical Methods
Category: Data Analysis
Category: Bayesian Statistics
Category: Statistical Analysis
Category: Python Programming

Earn a career certificate

Add this credential to your LinkedIn profile, resume, or CV. Share it on social media and in your performance review.

Build toward a degree

This Specialization is part of the following degree program(s) offered by University of Pittsburgh. If you are admitted and enroll, your completed coursework may count toward your degree learning and your progress can transfer with you.Âą

 

Instructor

Morgan Frank
University of Pittsburgh
2 Courses437 learners

Offered by

Why people choose Coursera for their career

Felipe M.
Learner since 2018
"To be able to take courses at my own pace and rhythm has been an amazing experience. I can learn whenever it fits my schedule and mood."
Jennifer J.
Learner since 2020
"I directly applied the concepts and skills I learned from my courses to an exciting new project at work."
Larry W.
Learner since 2021
"When I need courses on topics that my university doesn't offer, Coursera is one of the best places to go."
Chaitanya A.
"Learning isn't just about being better at your job: it's so much more than that. Coursera allows me to learn without limits."
Coursera Plus

Open new doors with Coursera Plus

Unlimited access to 10,000+ world-class courses, hands-on projects, and job-ready certificate programs - all included in your subscription

Advance your career with an online degree

Earn a degree from world-class universities - 100% online

Join over 3,400 global companies that choose Coursera for Business

Upskill your employees to excel in the digital economy

Frequently asked questions