In this course, you will learn the fundamentals of real analysis. This includes topics such as limits, continuity, differentiation, and integration. You will also learn about sequences and series, as well as the concept of a metric space.
Examples of things you will learn include:
- Limits of functions and how to compute them
- Continuity and how to use the definition to prove that a function is continuous
- Differentiation and how to find the derivative of a function
- Integration and how to use the fundamental theorem of calculus to evaluate definite integrals
- Sequences and how to determine if a sequence converges or diverges
- Series and how to determine if a series converges or diverges
- Metric spaces and how to use the concept of a metric to measure distances between points in a space