Applied Calculus: Integrals and Differential Equations

Calculus is more than just abstract formulas; it is the fundamental language used to describe change, motion, and accumulation in the physical world. This text-based course helps you transition from basic integration rules to confidently solving practical, real-world problems using integrals and differential equations. You will learn to identify, set up, and solve mathematical models for various scientific and engineering scenarios. What you'll learn: - Understand foundational definitions of integration and differential equations from the ground up - Calculate areas under curves and volumes of physical solids using definite integrals - Model real-world systems using first-order ordinary differential equations - Apply calculus concepts to solve classic problems in population growth, temperature decay, and motion - Learn modern concepts of numerical approximation for equations that cannot be solved analytically - Practice solving step-by-step mathematical problems through detailed written walkthroughs This course begins with key terminology and basic concepts of accumulation and rate of change, ensuring you have a solid foundation. From there, you will progress through structured written lessons that explain the mechanics of formulation, integration techniques, and differential modeling. Designed specifically for beginners, self-learners, and students, this course requires only a basic familiarity with introductory algebra and differentiation. Start exploring the practical power of calculus today.