MTE 2115 APPLIED ALGEBRA.docx

**MTE 2115 APPLIED ALGEBRA** Prerequisite: None Purpose To enable the student learn the laws of algebra, understand mathematical manipulation involving series and complex numbers and their applications to trigonometry. Learning outcomes At the end of this course, the student should be able to: 1....

**MTE 2115 APPLIED ALGEBRA** Prerequisite: None Purpose To enable the student learn the laws of algebra, understand mathematical manipulation involving series and complex numbers and their applications to trigonometry. Learning outcomes At the end of this course, the student should be able to: 1. Use linear laws to interpret experimental data 2. Solve mathematical problems involving finite and infinite power series 3. Perform mathematical operations involving complex numbers with applications to trigonometric identities. Course description Surds, logarithms and indices. Determination of linear laws from experimental data. Quadratic functions, equations and inequalities. Remainder theorem and its application to solution of factorisable polynomial equations and inequalities. Permutations and combinations. Series: finite, infinite, arithmetic, geometric and binomial, and their applications such as compound interest, approximations, growth and decay. The principle of induction and examples such as formulae for summation of series and properties of divisibility. Trigonometry; trigonometric functions, their graphs and inverses for degree and radian measure, addition, multiple angle and factor formulae, trigonometric identities and equations. Sine and cosine formulae; their application to solution of triangles, trigonometric identities. Complex numbers: Argand diagrams, arithmetic operations and their geometric representation. Modulus and argument. De Moivre‟ s theorem and its applications to trigonometric identities and roots of complex numbers. Teaching methodology: Lectures, tutorials and group discussions Instruction materials/equipment 1. Liquid Crystal Displays. 2. White boards/black boards Assessment Continuous Assessment Tests End of Semester Examination 30% 70%