Udemy – Calculus I, Calculus II, Calculus III – A Complete Course 2025-4

The learning path begins at the very roots of the subject, introducing the learner to the language of functions, the logic of limits, and the powerful ideas of continuity and change. Gradually, the learner will develop an intuitive understanding of what a derivative really is—not just as a formula, but as a way to describe how things move, grow, and evolve in the world around us. Next, you’ll discover the subtle power of differentiation: calculating slopes, rates, and changes with confidence. You’ll see how these concepts apply to everything from physics and biology to economics and data science. And before you know it, you’ll be using derivatives to solve real-world problems, find optimal solutions, and map the behavior of complex systems. Throughout the course, the focus isn’t just on methods—it’s on understanding. Each topic is taught with precision, clarity, and purpose. Visual explanations, guided exercises, and real-world applications bring the subject to life. Fear of math is gone and replaced with curiosity, confidence, and even enjoyment.

What you will learn

• Calculus 1: Limits, Derivatives, and Applications
• Understands limits and continuity both graphically and analytically.
• It dominates derivatives and their interpretation as rates of change.
• It applies derivatives to real-world problems including optimization and motion.
• It uses tools such as the chain rule, implicit differentiation, and Hôpital’s rule.
• Calculus 2: Integration and Infinite Series
• It performs inverse differentiation with antiderivatives and the fundamental theorem of calculus.
• Uses integration to find area, volume, arc length, and solve physics problems.
• It uses techniques such as substitution, integration by parts, and partial fractions.
• Understands sequences, convergence of series, and Taylor/MacLaren expansions.
• Calculus 3: Multivariable Calculus and Vectors
• Learns two-dimensional and three-dimensional vectors, dot multiplication and exterior multiplication, and their geometric meaning.
• Analyzes lines, planes, and quadratic surfaces in space.
• Discovered parametric and polar coordinates and applied calculus to these systems.
• It deals with vector functions, curvature, and motion in space.

This course is suitable for people who:

• Students in science, technology, engineering and mathematics (STEM), business or economics.
• Students preparing for AP Calculus AB/BC or IB Math exams.
• Professionals reviewing their math skills for work or further education.
• Self-taught or those interested in mathematics or problem solving.
• Anyone who has ever said, “I wish someone would explain calculus like this!”

Installation Guide

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Subtitles: None

Quality: 720p