Calculus

Calculus is a branch of mathematics that studies continuous change, primarily through the concepts of derivatives and integrals. It provides tools for analyzing rates of change (differential calculus) and accumulation of quantities (integral calculus), forming a foundational framework for modeling dynamic systems in science and engineering.

Also known as: Calc, Differential Calculus, Integral Calculus, Mathematical Analysis, Advanced Math

Why learn Calculus?

Developers should learn calculus for fields involving physics simulations, machine learning, data science, and computer graphics, where it underpins algorithms for optimization, gradient descent, and motion modeling. It is essential for understanding advanced concepts in AI, such as neural network training, and for solving real-world problems in engineering software.

Learning Resources

• course: Khan Academy Calculus Course
• course: MIT OpenCourseWare: Single Variable Calculus
• tutorial: Paul's Online Math Notes: Calculus I
• video: 3Blue1Brown: Essence of Calculus
• book: Calculus by James Stewart