After finishing this course, the students should be able to: Explain the concepts of number series and its applications; Understand the concepts of series and function and its applications; Explain the concepts of topology and its applications; Demonstrate exponential, logarithmic and trigonometric functions; Create metric space; Connect the concept of improper and lebesque integral; Explain the concepts of Riemann integral and generalized Riemann Integral and its applications; Understand the concepts of limit and its applications.
- Series and number series of real number;
- Continuous functions;
- Riemann Integral;
- Series and functions;
- Infinite series;
- Generalized Riemann integral;
- Introduction to topology.
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