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This module intends to equip students with critical thinking and problem solving skills.

It introduces to students with basic concepts of some elementary functions,  trigonometry, elementary algebra and their applications in daily life situations.

As in daily situation we need to apply mathematics, this module will help you to deal with some situations met in your daily life.

This module intends to equip students with critical thinking and problem solving skills. It introduces to students with basic concepts of trigonometry, mathematical logic, elementary algebra and their applications in daily life situations.

The module MAT1141, Basic Mathematics, aims to equip all UR-CE year one students, having mathematics and science subjects in their combinations, with competences from some mathematical concepts (sets and mathematical logic, algebra and geometry, calculus and differential equation, statistics and combinatory & introduction to programming languages) and their applications to chemistry, biology, physics, economics, geography, ICT and Physical Sports.

The module aims to equip students with the knowledge and confidence to help them to develop skills, attitudes and values to successfully implement the mathematics CBC at secondary schools. The module deepens the concepts introduced in Module MAT 1141 by exploring functions in one real variable through topology of IR, series and sequences, limits and continuity of functions, polynomial, trigonometric, exponential and logarithmic functions, derivative and applications, integrals and applications.

The modules in Calculus for Engineers aims to consolidate subjects students have seen in secondary school. Problems from engineering will be used to help students develop problem solving and reasoning abilities that will serve them well in their academic studies.

This module intends to equip students with critical thinking and problem solving skills. It introduces to students with basic concepts of real valued functions, their properties and applications.

This module intends to equip students with critical thinking and problem solving skills. It introduces to students with basic concepts of real valued functions (types of the functions), their properties and applications.

The module named Calculus 2 is the continuation of the module called Calculus 1, done in the first trimestre of the academic year. Calculus 1 deals with functions of single real variable, it is also called "Single real variable". Its main parts are Differential calculus and Integral calculus. However, Calculus 2 deals with functions of several variables, it is also called for that reason, "Multivariate calculus". Its main parts are - Partial Derivatives - Multiple Integrals and Vector Calculus.

The module target students for first year -Applied Mathematics, - Mathematical Statistics and Physics.

Welcome to the  course of Complex Analysis.

This course attend to empower  learners in the applications of complex analysis in their respective fields.

After this course the student will be introduced to general methods of complex analysis in both 

Scientist  and engineering fields.

This module will present the tools used in basic algebra and geometry, which will form the foundation for later work in the natural sciences.  The module covers mathematical logic, vector space, matrix calculus, determinants and resolution of linear systems and applications to matrices.

This module will present the tools used in basic algebra and

geometry, which will form the foundation for later work in the

natural sciences. The module covers vector Algebra, matrix

calculus, determinants and resolution of linear systems, 

applications to matrices, and Numerical Solutions of systems of linear equations.

The module recalls first the concept of vector space seen in secondary school. It starts from this concept and introduces the vector space of the linear transformations with the particular case of the dual vector space; it also studies the vector space of matrices which is a representation of linear transformations.

The module recalls first the concept of vector space seen in secondary school. It starts from this concept and introduces the vector space of the linear transformations with the particular case of the dual vector space; it also studies the vector space of matrices which is a representation of linear transformations.

Statistics is a science that deals with collecting, organising, summarising, presenting, analysing data. Statistics can be divided into two branches: Descriptive statistics and inferential statistics.

1. Descriptive statistics consists of techniques involving collecting, tabulating, presenting and summarising information in clear and the effective ways in order to describe the set of data.
2. Inferential statistics involves the techniques of analysing sample results to draw conclusion about the population.

In this module we will loak the descriptive statistics, the counting techniques, the concepts of sample space, events, the probability of an event, and the axioms of probability. We will also look at the concepts of random variables and we will give some examples of discrete and continuous random variables.

Module Team:

Dushimimana Jean Claude (Module leader)

Ntakirutimana Venuste (Member)

Munyabugingo Valens (Member)

Singirankabo Eduard (Member)

Welcome to this course MAT2345:Analytical geometry. This course concerns analytic geometry in 2D and 3D Euclidean spaces. The course is mainly focused on the geometry of point,line and quadrics(curves and surfaces). The classification of the second order curves  and surfaces in 2D and 3D respectively  is done  systematically by means of the techniques borrowed from the linear and multilinear algebra covered in the previous modules with codes MAT1343 and MAT2243.In this module the marriage  of Algebra and Geometry is shown nicely.This marriage allows geometry problems to be solved algebraically  and algebra problems to be solved geometrically.

Aims of the module:

• Define and characterize affine Euclidean spaces
  
• Solve problems related to affine  coordinate transformations
• Appreciate the role of scalar, vector and box products in determining metric properties of various geometric objects in Affine Euclidean spaces
• Determine various positions between point-line and plane
• Classify Second Order Curves in 2D
• Classify Second Order Surfaces in 3D

Facilitators:

Mr Theoneste Hakizimana, Tel:0788592204, e-mail: htheoneste2000@yahoo.fr

Mr Emmanuel Iyamuremye, Tel:0785228276, e-mail:

The aim of this module is to introduce students to philosophical and historical aspects of mathematics teaching and mathematics in a

wider context by introducing various scientific research techniques/methods, software’s used in mathematics writing and data analysis,

investigation of aspects of the history, foundations and philosophy of mathematics, contribution of different civilizations to mathematics.

Use of mathematics in society and various issues will be also explored.

Welcome to this course MAT2143: Multilinear algebra and Analytic Geometry.It is a course prepared for Year2 students in Diploma Program with subject combinations: MCE,MPE,MBE and MCsE

This course is split into two parts. The first part is related to algebra and is  focused on multilinear algebra for  which the main emphasis is done on bilinear and quadratic forms. The second part is related to Geometry  and deals  with the analytic geometry of quadrics in 2D and 3D affine Euclidean space.These two parts are strongly connected  and illustrate the interplay between algebra and geometry.The classification of quadrics is made easily by techniques of multilinear algebra.

Welcome to this course MAT2143: Multilinear algebra and Analytic Geometry.It is a course prepared for Year2 students in Diploma Program with subject combinations: MCE,MPE,MBE and MCsE

This course is split into two parts. The first part is related to algebra and is  focused on multilinear algebra for  which the main emphasis is done on bilinear and quadratic forms. The second part is related to Geometry  and deals  with the analytic geometry of quadrics in 2D and 3D affine Euclidean space.These two parts are strongly connected  and illustrate the interplay between algebra and geometry.The classification of quadrics is made easily by techniques of multilinear algebra.

This module intends to introduce students  to Multilinear algebra: Bilinear and quadratics forms; Euclidean and unitary spaces; Multilinear forms and their applications in the geometry of quadrics. 

This module intends to introduce students  to Multilinear algebra: Bilinear and quadratics forms; Euclidean and unitary spaces; Multilinear forms and their applications in the geometry of quadrics.