Not Published
Course Code:
STA 102
No. of Credits:
3
Level:
Level 100
Course Semester:
Second Semester
Select Programme(s):
Mathematics and Statistics
Not Published
Course Code:
MAT 102
No. of Credits:
3
Level:
Level 100
Course Semester:
Second Semester
Select Programme(s):
Mathematics
Mathematics and Statistics
Not Published
Course Code:
STA 101
No. of Credits:
3
Level:
Level 100
Course Semester:
First Semester
Select Programme(s):
Mathematics
Mathematics and Statistics
Not Published
Course Code:
MAT 101
No. of Credits:
3
Level:
Level 100
Course Semester:
First Semester
Select Programme(s):
Mathematics
Mathematics and Statistics
Degree Type:
Bachelor of ScienceDepartment of Mathematics Programme Duration:
4 years (Standard Entry)About Programme:
Not Published
Career Opportunities:
Objectives
-
To produce graduates who can undertake research work that requires knowledge in both mathematics and statistics.
-
To produce graduates who can use mathematics and statistics as a tool to do research work in other disciplines such as sciences, business, government, health and economics.
-
To provide a solid foundation for students to pursue further specialised courses such as actuarial science, econometrics and operations research.
Entry Requirements:
Not Published
This course is designed to give an introduction to complex numbers and matrix algebra, which are very important in science and technology, as well as mathematics. The topics to be covered are complex numbers and algebra of complex numbers. Argand diagram, modulus-argument form of a complex number. Trigonometric and exponential forms of a complex number. De Moivre’s theorem, roots of unity, roots of a general complex number, nth roots of a complex number. Complex conjugate roots of a polynomial equation with real coefficients. Geometrical applications, loci in the complex plane. Transformation from the z-plane to the w-plane. Matrices and algebra of matrices and determinants, Operations on matrices up to . inverse of a matrix and its applications in solving systems of equation. Gauss-Jordan method of solving systems of equations. Determinants and their use in solving systems of linear equations. Linear transformations and matrix representation of linear transformations.
Course Code:
MAT 206
No. of Credits:
3
Level:
Level 200
Course Semester:
Second Semester
Pre-requisite:
MAT 101
Select Programme(s):
Mathematics
Mathematics-with-Business
This course is designed to develop advanced topics of differential and integral calculus. Emphasis is placed on the applications of definite integrals, techniques of integration, indeterminate forms, improper integrals and functions of several variables. The topics to be covered are differentiation of inverse, circular, exponential, logarithmic, hyperbolic and inverse hyperbolic functions. Leibnitz’s theorem. Application of differentiation to stationary points, asymptotes, graph sketching, differentials, L’Hospital rule. Integration by substitution, by parts and by use of partial fractions. Reduction formulae. Applications of integration to plane areas, volumes and surfaces of revolution, arc length and moments of inertia. Functions of several variables, partial derivatives.
Course Code:
MAT 203
No. of Credits:
3
Level:
Level 200
Course Semester:
First Semester
Pre-requisite:
MAT 102
Select Programme(s):
Mathematics
Mathematics-with-Business
Meteorology and Atmospheric Physics
The construction of mathematical models to address real-world problems has been one of the most important aspects of each of the branches of science. It is often the case that these mathematical models are formulated in terms of equations involving functions as well as their derivatives. Such equations are called differential equations. If only one independent variable is involved, often time, the equations are called ordinary differential equations. The course will demonstrate the usefulness of ordinary differential equations for modeling physical and other phenomena. Complementary mathematical approaches for their solution will be presented. The topics to be covered are vector algebra with applications to three-dimensional geometry. First order differential equations; applications to integral curves and orthogonal trajectories. Ordinary linear differential equations with constant coefficients and equation reducible to this type. Simultaneous linear differential equations. Introduction to partial differential equations.
Course Code:
MAT 202
No. of Credits:
3
Level:
Level 200
Course Semester:
Second Semester
Pre-requisite:
MAT 102
Select Programme(s):
Mathematics
Mathematics-with-Business
This course aims to provide a first approach to the subject of algebra, which is one of the basic pillars of modern mathematics. The focus of the course will be the study of certain structures called groups, rings, fields and some related structures. Abstract algebra gives to student a good mathematical maturity and enable learners to build mathematical thinking and skill. The topics to be covered are injective, subjective and objective mappings. Product of mappings, inverse of a mapping. Binary operations on a set. Properties of binary operations (commutative, associative and distributive properties). Identity element of a set and inverse of an element with respect to a binary operation. Relations on a set. Equivalence relations, equivalence classes. Partition of set induced by an equivalence relation on the set. Partial and total order relations on a set. Well-ordered sets. Natural numbers; mathematical induction. Sum of the powers of natural numbers and allied series. Integers; divisors, primes, greatest common divisor, relatively prime integers, the division algorithm, congruencies, the algebra of residue classes. Rational and irrational numbers. Least upper bound and greatest lower bound of a bounded set of real numbers. Algebraic structures with one or two binary operations. Definition, examples and simple properties of groups, rings, integral domains and fields.
Course Code:
MAT 201
No. of Credits:
3
Level:
Level 200
Course Semester:
First Semester
Pre-requisite:
MAT 102
Select Programme(s):
Mathematics
Mathematics-with-Business
The course is designed to familiarize learners with fundamental mathematical concepts such as basic set theory, mappings, linear and quadratic functions and their graphs. Other topics to be considered in the course are: matrices and determinants with applications to simultaneous linear equations. Permutations and combinations, binomial theorem. Radian measure, trigonometric functions, identities. Elementary calculus and co-ordinate geometry.
Course Code:
MAT 103
No. of Credits:
3
Level:
Level 100
Pre-requisite:
WASSCE/ SSSCE Core Mathematics
Select Programme(s):
Mathematics