Calculus I is designed to guide students step by step into understanding how mathematics explains change and real-life situations. The course starts by strengthening students’ background in algebra and functions, making sure everyone is comfortable with graphs, equations, and basic concepts. It then introduces limits and continuity in a simple and intuitive way, helping students see how functions behave and why these ideas are important before moving forward. Once this foundation is clear, students begin learning about derivatives, which show how quantities change. With clear explanations and plenty of practice, students learn how to differentiate different types of functions and use these skills to study graphs, identify trends, and solve problems.
As the course continues, students begin to see the practical value of what they are learning. Derivatives are applied to real-life situations such as finding maximum and minimum values and understanding rates of change in fields like science and health. The course then smoothly introduces integrals, showing how they are connected to derivatives and how they can be used to measure quantities like area and total accumulation. By the end of the course, students are not only able to perform calculations but also understand the meaning behind them. The overall approach focuses on building confidence, encouraging practice, and helping students at Somali National University develop strong problem-solving skills that they can use in their future studies and careers.
The course refers to the open e-book Calculus I by Paul Dawkins.