BACHELOR OF EDUCATION HONOURS SCIENCE EDUCATION AND APPLICATIONS SPECIALISING IN MATHEMATICS (BEDHSEAM)
| Module Code | Module Name | Description |
|---|---|---|
| SEAM121 | Discrete Mathematics |
This course is meant to, among other things, enhance students’ mathematical maturity. It provides opportunities for. Reasoning mathematically about basic data types and structures (such as numbers, sets, graphs, and trees) used in computer algorithms and systems. Distinguishing rigorous definitions and conclusions from merely plausible ones. Synthesizing elementary proofs, especially proofs by induction, modeling and analyzing computational processes using analytic and combinatorial methods. |
| SEAM122 | Linear Mathematics | The course is designed for post A level students without diploma level teaching qualifications. It equips students with a wide range of basic concepts and skills required for teaching secondary school mathematics effectively, and at the same time provide a basis for learning linear algebra in general and the theory of matrices and complex numbers in particular. |
| SEAM123 | Mathematical Discourse | The course is intended to prepare students for further mathematics study by introducing basic concepts and terminology that are foundational to more generalized concepts encountered in different strands of mathematics such as Analysis, Numerical Methods and Linear Programming. |
| SEAM124 | Financial Mathematics | The purpose of this course is to expose students to the mathematical concepts and techniques used in the financial industry. Mathematics lectures are mixed with lectures illustrating the corresponding application in the financial industry. The aim is to produce graduates with developed mathematical and statistical skills applicable in financial business decision-making. |
| SEAM111 | Abstract Algebra | The purpose of this course is to extend students’ understanding and application of the axiomatic approach in the context of algebraic structures. It also provides students with further opportunities to engage in and apply abstract thinking and appreciate the role of rigour in the processes. Such understanding and experiences are vital for prospective mathematics teachers, especially for teaching at the Advanced Level. The course builds on related, preliminary concepts such as Sets, Relations, Functions; Group theory, and Vector spaces. |
| SEAM122 | Linear Mathematics | This course is a follow-up to Linear Mathematics. It covers: Linear Transformations; Vector spaces; Inner-product spaces; Eigenvalues and eigenvectors; Matrices; and Fourier transforms. |
| SEAM221 | Linear Algebra | The purpose of this course is to extend students’ understanding and application of the axiomatic approach in the context of algebraic structures. It also provides students with further opportunities to engage in and apply abstract thinking and appreciate the role of rigour in the processes. Such understanding and experiences are vital for prospective mathematics teachers, especially for teaching at the Advanced Level. The course builds on related, preliminary concepts such as Sets, Relations, Functions; Group theory, and Vector spaces. |
| SEAM113 | Geometry | The module explores shapes spaces and their properties, covering Euclidean geometry focusing on points, lines and planes, non Euclidean geometries like hyperbolic and eliptic spaces, differential geometry examining curves and surfaces, while projective geometry deals with transformations and invariants. Topology studies spaces and continuity with applications in physics, engineering and computer science. |
| SEAM112 | Calculus 1 | The aim of the course is to get students appreciate the fundamental ideas of the calculus as an entry point into leaning more calculus-driven mathematics, thereby providing a foundation for learning further topics in mathematics including Analysis and Numerical Methods. The course covers: Sequences; Coordinate Geometry; Continuity and smoothness; Integration. |
| SEAM224 | Mathematical Modeling | The course covers analytical methods of solving mathematical problems by using mathematical models. In this course emphasis is put on the geometric approach and the algebraic approach to solve mathematical problems. The importance of this course derives in part from its many applications and in part from the existence of good general-purpose techniques for finding optimal solutions. Linear programming is useful for guiding quantitative-related decision making in business, industrial engineering enterprises, and to a lesser extent activities within the social and life sciences. The linear programming skills will help students in some aspects of their own personal life management activities and in their professional practice |
| SEAM212 | Calculus 2 | The course builds on Calculus 1 and aims at providing a foundation for learning further topics in mathematics including Analysis, Differential Equations, and Numerical Methods by developing basic and extended concepts of calculus to functions of several variables. It covers: Vectors; Lines and planes; Vector valued functions; Functions of several variables;Integration; Infinite and Taylor series. |
| SEAM222 | Number Theory | This course focuses on what are called Number Theoretic Functions which help to explain why some numbers behave in a certain way, and might enlighten students on the behaviour and classification of various numbers and their real life applications, particularly in cryptography. The course content includes: Divisibility; Cryptosystems; Congruence arithmetic; Diophantine equations; theory of congruencies; and quadratic fields |
| SEAM226 | Real Analysis | This course provides a rigorous theoretical basis for Calculus, concentrating more on the abstract and proof side of mathematics. The course is meant to familiarize the student with basic knowledge and methods of Analysis in the field of Reals. It covers: Real number system; Countables; Limits and continuity of Real functions; Boundedness; Differentiability; the Riemann Integral; the Stieltjies Integral. |
| SEAM223 | Vector Analysis | The course, which is concerned with the calculus of vector fields, has important STEM applications, particularly in Physics and Engineering. It covers: Vectors in the plane and space; Vector valued functions; Vector fields; Spherical and cylindrical polar coordinate systems; Line, surface and volume integrals; Divergence Theorem and Stokes Theorem in 3-D. |
| SEAM211 | Computer Programming and Applications in Mathematics | The course deals with simple programming as well as mathematical software packages used in different fields of mathematics such as Calculus, Algebra, Analysis, Geometry, and Mathematical Optimization. It introduces Computer Algebra Systems such as MatLab and Maple, Statistical packages, Geometrical packages and Numerical software packages with a view to preparing students to use mathematical software in teaching and learning in IT laboratories while increasing the students’ grasp of mathematical concepts underlying the applications |
| SEAM312 | Differential Equations | The course considers analytic methods to solve mathematical problems involving rates of change while reflecting efficiency of the methods at the same time. It concentrates on linear differential equations, which is the entry point for further work in Differential Equations. The course includes: 1st and 2nd order ODE’s; Existence and uniqueness of solutions; Eigenvalue problems; Series solutions of ODEs; Laplace transform; Fourier series. |
| SEAM321 | Numerical Methods | This applied mathematics course focuses on error analysis, interpolation and alternative ways of solving linear and non-linear equations using approximation methods. Such methods are often necessary for practical purposes, when analytical approaches solutions are unknown or cumbersome |
| SEAM314 | Mechanics | The course is a follow up to Mechanics 1, whose firm grasp it assumes. The main areas covered are central forces (including relative coordinates and Kepler’s’ laws); non-inertial frames (including angular velocity and Coriolis force); rigid bodies; and special relativity. |
| SEAM315 | Probability and Statistics | Probability is the logic of uncertainty and randomness. This course introduces students to ways of recognizing and interpreting situations that are based on probability theory considerations, as well as solving related problems in mathematical/scientific and everyday contexts. Its focus is on the following topics: Classical probability; Random variables; Discrete and continuous distributions; Approximations (including Law of Large Numbers, Central Limit Theorem, Normal distribution). The Statistical part of the module covers the following topics: Inductive and deductive inference; Hypothesis Testing; t and F tests; Central Limit Theorem; Chi-Square Tests; Estimation; Confidence intervals; Hypothesis testing. |
| SEAM225 | Teaching Practicum | This module provides supervised professional teaching experience in secondary schools. Students apply theoretical knowledge and pedagogical skills in real classroom settings, focusing on lesson planning, classroom management, learner assessment, and reflective practice. The practicum emphasizes professional ethics, effective communication, integration of subject content with pedagogy, and the development of competent, reflective chemistry educators |
| SEAR360 | Research Project | This module introduces students to a culture and practice of knowledge generation and utilization through research activity in general and within their subject domains in particular. This in part prepares them for post graduate work and to function more as teacher researchers in the field. Spanning a minimum period of 2 semesters, the module develops in the student research-related skills that include conceptualizing and executing formal pieces of inquiry within the specific domain, academic writing, and independent learning. Learning activities place emphasis on identifying and defining researchable issues that are meaningful in the context of Education 5.0, survey and synthesis of relevant literature, developing a research proposal, conducting appropriate fieldwork, writing a research report. The module is assessed through a written research report and oral presentations. |
