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Modern Algebra

This course focuses on traditional algebra topics that have found greatest application in science and engineering as well as in mathematics.  Topics include direct product of groups, finite abelian groups, sylow theorem, finite simple groups, polynomial rings, ordered integral domain, extension fields, algebraic extensions, bilinear and quadratic forms, real and complex inner product spaces, the spectral theory and normal operators.

Course Code: 
MAT 807
No. of Credits: 
3
Level: 
Level 800
Course Semester: 
First Semester
Pre-requisite: 
MAT 403
Select Programme(s): 
Mathematics
Mathematics
Mathematics

Ordinary Differential Equations II

This course presents the student with advanced techniques for analysing the behaviour of solutions of ordinary differential equations. Topics include linear systems with isolated singularities, linearisation of systems of differential equations,  asymptotic behaviour of non-linear systems: stability, perturbation of systems having a periodic solution, perturbation theory of two-dimensional real autonomous systems.

Course Code: 
MAT 806
No. of Credits: 
3
Level: 
Level 800
Course Semester: 
Second Semester
Pre-requisite: 
MAT 805
Select Programme(s): 
Mathematics
Mathematics
Mathematics

Ordinary Differential Equations I

This course presents the student with advanced techniques for analysing the behaviour of solutions of ordinary differential equations. Topics include systems of first order linear differential equations, existence and uniqueness of solutions; adjoint systems,  linear system associated with a linear homogeneous differential equation of order n,  adjoint equation to a linear homogeneous differential equation, Lagrange Identity, linear boundary value problems on a finite interval; homogeneous boundary value problems and Green’s function; non-self-adjoint boundary value problems, self-adjoint eigenvalue problems on a finite interval, the expansion and completeness theorems, oscillation and comparison theorem for second-order linear equations and applications.

Course Code: 
MAT 805
No. of Credits: 
3
Level: 
Level 800
Course Semester: 
First Semester
Pre-requisite: 
MAT 405
Select Programme(s): 
Mathematics
Mathematics
Mathematics

Functional Analysis II

This course covers major theorems in Functional Analysis that have applications in Harmonic and Fourier, Ordinary and Partial Differential Equations. Topics covered include: linear spaces, semi-norms, norm, locally convex spaces, linear functional, Hahn-Banach theorem, factor spaces, product spaces conjugate spaces,  linear operators, and adjoints.

Course Code: 
MAT 804
No. of Credits: 
3
Level: 
Level 800
Course Semester: 
Second Semester
Pre-requisite: 
MAT 803
Select Programme(s): 
Mathematics
Mathematics
Mathematics

Becoming a Reflective Science Teacher

This course is aimed at helping students to combine practice and theory to become a reflective science teacher. It will enable students to become innovative and flexible in their teaching practice. It will also guide them to draw on knowledge and experience, and relate them to what they do in practice. 

Course Code: 
ESC313
No. of Credits: 
3
Level: 
Level 300
Course Semester: 
Second Semester
Select Programme(s): 
Science

Computer Applications in Science Education

The course provides trainees’ opportunities to develop their Technological Pedagogical Content Knowledge (TPACK) and skills to design, enact and evaluate ICT-based lessons using a variety of ICT tools that support different teaching and learning strategies. Students will also be able to use Predictive Analytics Software (PASW) in analyzing data.

This course emphasizes the following: Application of Microsoft Office Suits in science teaching; Using of ICT tools for active learning of science (Blogs, Mind mapping tools, Interactive Simulations); Demonstration of skills in ICT in the delivery of science lessons; and PASW.

Course Code: 
ESC345
No. of Credits: 
2
Level: 
Level 300
Course Semester: 
Second Semester
Select Programme(s): 
Science

Functional Analysis I

This course covers major theorems in Functional Analysis that have applications in Harmonic and Fourier, Ordinary and Partial Differential Equations. Topics covered include: Hilbert space as an infinite dimensional generalization of geometric spaces; linear closed subspaces and orthogonality, linear transformations, projections, and  spectral theory.

Course Code: 
MAT 803
No. of Credits: 
3
Level: 
Level 800
Course Semester: 
First Semester
Pre-requisite: 
MAT 408
Select Programme(s): 
Mathematics
Mathematics
Mathematics

Assessment in Science Education

The course is to equip students with the skills in assessing the cognitive, affective and psychomotor domains of behaviours of their prospective science students. It will examine, among others, the general science assessment techniques, characteristics of good science tests, different types of science test items, and continuous assessment of science students. It will also take a critical look at the current modes of internal and external examinations in science in Ghana.

This course emphasizes the following: nature of assessment of students; goals and learning objectives of instruction; characteristics of tests in science; planning of classroom tests and assessments; construction and validation of science assessment instruments; providing  guidelines for assembling and administering classroom tests; item analysis; interpretation of test scores obtained from students; and development of science performance-based assessment instrument.

Course Code: 
ESC311
No. of Credits: 
3
Level: 
Level 300
Course Semester: 
Second Semester
Select Programme(s): 
Science

Instructional Laboratory Experience (ON-CTP)

In this course, students learn specific skills in a non-threatening environment, get feedback from peers and supervisors. The specific teaching skills and practices include questioning techniques, use of the chalkboard and other audio-visual resources, systematic presentation and lesson closure. Also, opportunities are provided for students to observe good models of teaching through video presentations and demonstration of specific teaching techniques.

Course Code: 
ETP390
No. of Credits: 
3
Level: 
Level 300
Course Semester: 
Second Semester
Select Programme(s): 
Science

Advanced Calculus I

Limit and continuity of functions of several variables; partial derivatives, differentials, composite, homogenous and implicit functions; Jacobians, orthogonal curvilinear coordinates; multiple integral, transformation of multiple integrals; Mean value and Taylor’s Theorems for several variables; maxima and minima with applications.

Course Code: 
MAT301
No. of Credits: 
3
Level: 
Level 300
Course Semester: 
First Semester
Pre-requisite: 
MAT 202 and 203
Select Programme(s): 
Mathematics
Mathematics-with-Business
Science

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