• For Individuals
  • For Businesses
  • For Universities
  • For Governments
Degrees
​
Log In
Join for Free
  1. Categories
  2. Differential Calculus

Differential Calculus Courses

Differential calculus courses can help you learn concepts like limits, derivatives, and the Fundamental Theorem of Calculus. You can build skills in analyzing functions, optimizing problems, and understanding rates of change in various contexts. Many courses introduce tools such as graphing calculators and software for visualizing functions, which enhance your ability to apply these concepts in real-world situations like physics and engineering.

Popular Differential Calculus Courses and Certifications


  • J

    Johns Hopkins University

    Differential Calculus through Data and Modeling

    Intermediate · Specialization

  • T

    The University of Sydney

    Introduction to Advanced Calculus

    Skills you'll gain: Advanced Mathematics, Integral Calculus, Calculus, Differential Equations, Applied Mathematics, Mathematical Modeling, Linear Algebra, Physics, Derivatives

    4.7 stars, 36 reviews, Intermediate, Course, 1 - 4 Weeks

    ★ 4.7 (36) · Intermediate · Course · 1 - 4 Weeks

  • U

    University of Huddersfield

    Differential Calculus Fundamentals

    Skills you'll gain: Analytical Skills, Calculus, Analysis, Data-Driven Decision-Making, Integral Calculus, Derivatives

    Intermediate · Course · 1 - 4 Weeks

  • cplus logo

    Save big and unwrap a year of new skills

    Save now
  • T

    The University of Sydney

    Introduction to Calculus

    Skills you'll gain: Calculus, Integral Calculus, Algebra, Trigonometry, Derivatives, Graphing

    4.8 stars, 4K reviews, Intermediate, Course, 1 - 3 Months

    ★ 4.8 (4K) · Intermediate · Course · 1 - 3 Months

  • U

    University of Colorado Boulder

    Algebra and Differential Calculus for Data Science

    Skills you'll gain: Algebra, Calculus, Graphing, Data Science, Numerical Analysis, Derivatives

    4.6 stars, 269 reviews, Intermediate, Course, 1 - 3 Months

    ★ 4.6 (269) · Intermediate · Course · 1 - 3 Months

  • What brings you to Coursera today?

  • U

    University of Pennsylvania

    Calculus: Single Variable Part 1 - Functions

    Skills you'll gain: Calculus, Mathematical Theory & Analysis

    4.7 stars, 2.4K reviews, Mixed, Course, 1 - 4 Weeks

    ★ 4.7 (2.4K) · Mixed · Course · 1 - 4 Weeks

    Category: Free
    Free
  • U

    University of Pennsylvania

    Calculus: Single Variable Part 2 - Differentiation

    Skills you'll gain: Calculus, Derivatives

    4.8 stars, 1.2K reviews, Mixed, Course, 1 - 4 Weeks

    ★ 4.8 (1.2K) · Mixed · Course · 1 - 4 Weeks

    Category: Free
    Free
  • U

    University of Pennsylvania

    Calculus: Single Variable Part 3 - Integration

    Skills you'll gain: Integral Calculus, Calculus, Differential Equations, Mathematical Modeling

    4.8 stars, 552 reviews, Mixed, Course, 1 - 4 Weeks

    ★ 4.8 (552) · Mixed · Course · 1 - 4 Weeks

    Category: Free
    Free
  • K

    Korea Advanced Institute of Science and Technology(KAIST)

    Differential Equations Part I Basic Theory

    Skills you'll gain: Differential Equations, Mathematical Modeling, Calculus

    4.7 stars, 1.4K reviews, Beginner, Course, 1 - 3 Months

    ★ 4.7 (1.4K) · Beginner · Course · 1 - 3 Months

  • P

    Packt

    Applied Calculus for Data Science & ML with Python

    Skills you'll gain: Calculus, Integral Calculus, Model Optimization, Mathematical Software, Applied Mathematics, NumPy, Programming Principles, Mathematical Modeling, Machine Learning Methods, Python Programming, Mathematical Theory & Analysis, Graphing, Data Science, Derivatives

    Intermediate · Course · 1 - 3 Months

    Category: New
    New
  • M

    Macmillan Learning

    Advanced: Eigenvectors and Vector Spaces

    Skills you'll gain: Linear Algebra, Numerical Analysis, Algebra, Differential Equations, Mathematical Modeling

    Intermediate · Course · 1 - 4 Weeks

    Category: New
    New
1234…24

Best free Differential Calculus courses

High-quality free Differential Calculus courses you can start today.

  1. 1
    Differential Calculus Fundamentals
    University of HuddersfieldIntermediate1 - 4 Weeks1.0(2)Free
  2. 2
    Introduction to Calculus
    The University of SydneyIntermediate1 - 3 Months4.8(3,973)Free
  3. 3
    Calculus: Single Variable Part 1 - Functions
    University of PennsylvaniaMixed1 - 4 Weeks4.7(2,421)Free

Best Differential Calculus courses from University of Pennsylvania

Top-rated Differential Calculus courses offered by University of Pennsylvania on Coursera.

  1. 1
    Calculus: Single Variable Part 2 - Differentiation
    University of PennsylvaniaMixed1 - 4 Weeks4.8(1,240)University of Pennsylvania
  2. 2
    Calculus: Single Variable Part 3 - Integration
    University of PennsylvaniaMixed1 - 4 Weeks4.8(552)University of Pennsylvania

Best Differential Calculus certificate programs

Earn a certificate in Differential Calculus from top universities and companies.

  1. 1
    Differential Calculus through Data and Modeling
    Johns Hopkins UniversityIntermediateSpecialization
  2. 2
    Self-Driving Cars
    University of TorontoAdvanced3 - 6 Months4.7(3,561)Specialization

Skills you can learn in Probability And Statistics

R Programming (19)
Inference (16)
Linear Regression (12)
Statistical Analysis (12)
Statistical Inference (11)
Regression Analysis (10)
Biostatistics (9)
Bayesian (7)
Logistic Regression (7)
Probability Distribution (7)
Bayesian Statistics (6)
Medical Statistics (6)

Frequently Asked Questions about Differential Calculus

Differential calculus is a branch of mathematics that focuses on the concept of the derivative, which represents the rate of change of a function. It is essential for understanding how quantities change in relation to one another, making it a foundational tool in various fields such as physics, engineering, economics, and data science. By studying differential calculus, you gain insights into optimization, motion, and the behavior of complex systems, which are crucial for problem-solving in real-world applications.‎

A solid understanding of differential calculus can open doors to various career opportunities. Jobs that often require knowledge of differential calculus include roles in engineering, data analysis, finance, and research. Positions such as data scientist, quantitative analyst, and systems engineer frequently utilize calculus to model and analyze data, optimize processes, and solve complex problems. Additionally, educators and academic researchers in mathematics or related fields also benefit from this knowledge.‎

To effectively learn differential calculus, you should develop a strong foundation in algebra and functions, as these concepts are integral to understanding derivatives. Familiarity with limits, continuity, and basic mathematical notation is also important. As you progress, you will learn to apply differentiation techniques to various functions, interpret the results, and solve practical problems. Building skills in mathematical reasoning and problem-solving will further enhance your ability to grasp differential calculus concepts.‎

There are several excellent online courses available for learning differential calculus. For a comprehensive understanding, consider the Differential Calculus through Data and Modeling Specialization, which offers a structured approach to applying calculus in data contexts. Alternatively, the course titled Algebra and Differential Calculus for Data Science provides a practical introduction tailored for aspiring data scientists.‎

Yes. You can start learning differential calculus on Coursera for free in two ways:

  1. Preview the first module of many differential calculus courses at no cost. This includes video lessons, readings, graded assignments, and Coursera Coach (where available).
  2. Start a 7-day free trial for Specializations or Coursera Plus. This gives you full access to all course content across eligible programs within the timeframe of your trial.

If you want to keep learning, earn a certificate in differential calculus, or unlock full course access after the preview or trial, you can upgrade or apply for financial aid.‎

To learn differential calculus effectively, start by reviewing foundational concepts in algebra and functions. Enroll in an online course that suits your learning style and pace. Engage with interactive exercises and practice problems to reinforce your understanding. Additionally, consider joining study groups or nline forums to discuss concepts and solve problems collaboratively. Consistent practice and seeking help when needed will significantly enhance your learning experience.‎

Typical topics covered in differential calculus courses include limits, derivatives, differentiation rules, and applications of derivatives. You will learn how to compute derivatives for various functions, understand the concept of continuity, and apply calculus to real-world problems such as optimization and motion analysis. Advanced courses may also explore topics like implicit differentiation and higher-order derivatives.‎

For training and upskilling employees, courses like the Differential Calculus through Data and Modeling Specialization are particularly beneficial. They provide practical applications of differential calculus in data analysis and modeling, which can enhance employees' analytical skills and improve decision-making processes in their roles.‎

This FAQ content has been made available for informational purposes only. Learners are advised to conduct additional research to ensure that courses and other credentials pursued meet their personal, professional, and financial goals.

Other topics to explore

Arts and Humanities
338 courses
Business
1095 courses
Computer Science
668 courses
Data Science
425 courses
Information Technology
145 courses
Health
471 courses
Math and Logic
70 courses
Personal Development
137 courses
Physical Science and Engineering
413 courses
Social Sciences
401 courses
Language Learning
150 courses

Coursera Footer

Skills

  • Accounting
  • Artificial Intelligence (AI)
  • Cybersecurity
  • Data Analytics
  • Digital Marketing
  • Human Resources (HR)
  • Microsoft Excel
  • Project Management
  • Python
  • SQL

Professional Certificates

  • Google AI Certificate
  • Google Cybersecurity Certificate
  • Google Data Analytics Certificate
  • Google IT Support Certificate
  • Google Project Management Certificate
  • Google UX Design Certificate
  • IBM AI Engineering Certificate
  • IBM AI Product Manager Certificate
  • IBM Data Science Certificate
  • Intuit Academy Bookkeeping Certificate

Courses & Specializations

  • AI Essentials Specialization
  • AI For Business Specialization
  • AI For Everyone Course
  • AI in Healthcare Specialization
  • Deep Learning Specialization
  • Excel Skills for Business Specialization
  • Financial Markets Course
  • Machine Learning Specialization
  • Prompt Engineering for ChatGPT Course
  • Python for Everybody Specialization

Career Resources

  • Career Aptitude Test
  • CAPM Certification Requirements
  • CompTIA A+ Certification Requirements
  • CompTIA Security+ Certification Requirements
  • Essential IT Certifications
  • High-Income Skills to Learn
  • How to Learn Artificial Intelligence
  • PMP Certification Requirements
  • Popular Cybersecurity Certifications
  • Share your Coursera learning story

Coursera

  • About
  • Leadership
  • Careers
  • Catalog
  • Coursera Plus
  • Professional Certificates
  • Degrees
  • For Enterprise
  • For Government
  • For Campus
  • Become a Partner
  • Udemy

Community

  • Learners
  • Partners
  • Beta Testers
  • Free Courses
  • Blog
  • The Coursera Podcast
  • Tech Blog
  • Social Impact

More

  • Press
  • Investors
  • Terms
  • Privacy
  • Help
  • Accessibility
  • Contact
  • Articles
  • Directory
  • Affiliates
  • Modern Slavery Statement
  • Do Not Sell/Share
Learn Anywhere
Download on the App Store
Get it on Google Play
© 2026 Coursera Inc. All rights reserved.
  • Coursera Facebook
  • Coursera Linkedin
  • Coursera Twitter
  • Coursera YouTube
  • Coursera Instagram
  • Coursera TikTok