This module, related to Geography of Rwanda, focuses on physical description of Rwanda including relief, climate, vagetation and drainage systems. After the module, students will be also to describe the characteristics of rwandan population and its economy.
- Lecturer: FELICIEN NIYONIRINGIYE
One Real Variable Analysis provides a rigorous study of the fundamental concepts and principles underlying the analysis of real-valued functions of one real variable. The course develops students' understanding of the real number system, sets, intervals, bounds, supremum and infimum, and the fundamental properties of real-valued functions.
The course introduces the concepts of sequences, limits, and continuity, emphasizing both intuitive and rigorous approaches, including the (\varepsilon)-(\delta) definition of a limit. Students examine continuity and discontinuity of functions and develop the ability to justify analytical results using appropriate mathematical arguments.
The course further develops the theory and applications of differentiation, including the Mean Value Theorem, Taylor's Theorem, extrema, monotonicity, concavity, and curve analysis. Integration is studied through the Fundamental Theorem of Calculus and appropriate techniques of integration, with emphasis on the relationship between differentiation and integration.
The course also covers sequences and infinite series of real numbers, including convergence and divergence and appropriate convergence tests. Throughout the course, students are encouraged to develop rigorous mathematical reasoning, analytical thinking, problem-solving skills, and the ability to construct and justify mathematical arguments. Applications of real analysis to mathematical and real-world problems are incorporated where appropriate.
The course introduces the concepts of sequences, limits, and continuity, emphasizing both intuitive and rigorous approaches, including the (\varepsilon)-(\delta) definition of a limit. Students examine continuity and discontinuity of functions and develop the ability to justify analytical results using appropriate mathematical arguments.
The course further develops the theory and applications of differentiation, including the Mean Value Theorem, Taylor's Theorem, extrema, monotonicity, concavity, and curve analysis. Integration is studied through the Fundamental Theorem of Calculus and appropriate techniques of integration, with emphasis on the relationship between differentiation and integration.
The course also covers sequences and infinite series of real numbers, including convergence and divergence and appropriate convergence tests. Throughout the course, students are encouraged to develop rigorous mathematical reasoning, analytical thinking, problem-solving skills, and the ability to construct and justify mathematical arguments. Applications of real analysis to mathematical and real-world problems are incorporated where appropriate.
- Lecturer: Vincent UWAYEZU
An "Introduction to Statistics and Probability" module typically covers the fundamental concepts of both fields, including basic probability theory, conditional probability, and various discrete and continuous probability distributions. It also introduces descriptive statistics, sampling methods, confidence intervals, and hypothesis testing for making inferences from data. The module often includes applications like correlation and regression, and hands-on data analysis using statistical software such as R
- Lecturer: Fabien Habiyaremye
- Lecturer: Benjamin HAFASHIMANA
- Lecturer: Josephine NISHIMWE
- Lecturer: DIDACE NIZEYIMANA