Basic Mathematics: Differentiation and Integration for Physics and Engineering

Many students struggle with advanced science and engineering concepts simply because they lack a solid grasp of the underlying mathematics. This text-based course bridges that gap by breaking down calculus into clear, manageable concepts that you can easily apply to your studies. You will start with core mathematical definitions before moving on to practical problem-solving techniques. By reading through structured explanations and analyzing step-by-step mathematical proofs, you will build the intuition needed to handle rates of change and accumulation. What you'll learn: Understand the fundamental concepts of limits, continuity, and rates of change; Apply differentiation rules to find derivatives of algebraic, trigonometric, and exponential functions; Solve optimization and physics-related rate problems using derivatives; Master integration techniques to find areas under curves and solve accumulation problems; Learn how to apply the Fundamental Theorem of Calculus to evaluate definite integrals; Practice solving classical physics problems involving velocity, acceleration, and work. This course begins with essential terminology and foundational algebraic concepts, then progresses systematically through differential and integral calculus with clear, written walkthroughs. This course is designed specifically for beginners, self-learners, and students preparing for technical exams who have a basic background in high school algebra and trigonometry. Start building your mathematical foundation today.