This course recognizes that secondary school students need guidance to be able to attain their full potential and maximize the benefits of their educational experience. It attempts to equip the student with information that will enable him/her to facilitate this process in a secondary school setting. At the end of the course, students should be able to show a clear understanding of the guidance concept in the context of school personnel work, examine the principles under girding guidance practice, explore the services of a given guidance programme, show how they can be addressed and examine the role of guidance personnel.
The course is in two parts. The first part deals with the role of government and non-governmental bodies in the development and growth of formal education in Ghana. The second part examines administration theories and their influence on the management and administration of school systems in Ghana.
Project work is to offer students the opportunity to demonstrate skills in conducting research on issues relevant to science education and writing it up. It also helps students to demonstrate independence of thought, initiative, analysis and organisation of data and presentation of scholarly research report. The project work will be written under the guidance of the student’s Supervisor.
This course investigates how dynamical systems should be controlled in the best possible way. Topics include: OCP with bounded and unbounded controls. Bang-Bang controls, Singular controls. OCPs with linear and nonlinear dynamical systems. OCPs for systems with fixed or free terminal times. OCPs for systems with equality and inequality constraints on functions of state and control variables. Numerical Methods for OCPS: Control parametrization method, State Discretization methods, Lenhart's Forward-Backward Sweep method. Application to the conrol of dynamical systems, including the control of infectious diseases.
The course is the culminating activity of the professional education sequence. Four weeks would be spent in selected off-campus school sites. While student-teaching, the teacher candidate is required to adhere to established policies and procedures of the school system in addition to those policies and procedures established by the University. The clinical experience is designed to enable the teacher trainee to engage in competent reflective decision making while teaching, demonstrating professionalism, scholarship and sensitivity to individual and communal interests. Standards of good practice and ethical, professional behaviour as laid down by the GES should be maintained.
This course is an introduction to numerical Linear Algebra. Topics include: matrix factorizations: QR-factorization, Cholesky factorization , vector and matrix norms: properties of the ‖.‖1, ‖.‖2|| and ‖.‖ norms of vectors in Rn, properties of the ‖.‖1, ‖.‖2|| , ‖.‖ and ‖.‖F norms of an mxn matrix, condition number of a matrix, ill-conditioned systems, the Hilbert matrix, perturbation analysis of linear systems, singular value decomposition (SVD) of an mxn matrix, Moore-Penrose inverse, rank k approximation of a matrix, applications of the SVD to least-squares problems, iterative methods for large sparse linear systems: the Jacobi and Gauss-Seidel methods, the SOR method, applications to the solution of linear systems with banded coefficient matrices, regularization methods for ill-conditioned linear systems, regularization of orders 0, 1 and 2, and the L-curve method for choosing an optimal regularization parameter.
This course introduces the principal algorithms for linear, network, discrete, nonlinear, dynamic optimization and optimal control. Emphasis is on methodology and the underlying mathematical structures. Topics include unconstrained optimization: optimality conditions, Newton's method, quasi-Newton's methods, Steepest Descent Method, Conjugate-Gradient methods, Line Search methods, Trust Region Methods, Derivative-Free Methods, constrained Optimization: optimality conditions for (a) linear equality constraints, (b) linear inequality constraints, (c) nonlinear constraints, feasible-point methods, sequential quadratic programming (SQP), reduced-gradient method, penalty and barrier methods.
This course will examine applications of mathematics in biological contexts including genetics, ecology, physiology, neuroscience and epidemiology. Topics include variants of the MSEIRS epidemic models, disease-free and endemic equilibrium points, determination of the basic reproduction number using the next-generation matrix approach, local stability and global stability analysis of equilibrium points and case studies : HIV/AIDS, TB and Vector-Host Models including Malaria. Further topics are parameter estimation for selected epidemic models, simulation and prediction.
This is the second of two courses designed to equip students with pedagogical content knowledge to enable them teach new or perceived difficult topics in the senior high school chemistry syllabus more competently in a variety of ways to reflect students’ different learning styles. Students will be able to develop special amalgam of content and pedagogy that is uniquely the province of teachers.
Appropriate strategies for successful teaching of selected topics, generally, will be discussed. Students will also learn how to recognize opportunities where learners will be encouraged to develop their thinking skills as applied to the study of chemistry.
This course introduces the basic theories and methodologies of digital image processing. The topics include manipulating images in MATLAB/OCTAVE, images as Arrays of Numbers, digital image, compression the singular value decomposion, the image de-blurring problem: a mathematical model of the blurring process. Further topics include de-blurring using a general linear model, obtaining the point spread function (PSF). De-bluring images using TSVD method, total variation method, and the Tikhonov regularization method, general image reconstruction as an inverse problem.