Real Analysis
Learning Outcomes
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
Topics
- Series and number series of real number
- Limit
- Continuous functions
- Differential
- Riemann Integral
- Series and functions
- Infinite series
- Generalized Riemann integral
- Introduction to topology
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