COURSE EMT 111 ENGINEERING MATHEMATICS I
YEAR/SEMESTER Year I, Semester 1
CONTACT HOURS 60 hours (45 hrs lecture, 15 hrs tutorial)
Credit Hours = 4
PURPOSE OF THE COURSE
To give the student an understanding of various topics in Mathematics so as to perform simple quantitative analysis in the solution of simple engineering problems.
Assessment will be by Coursework and Final Examination. The weighting given for each section (see Description of Course) will be approximately represented in both the Coursework and the Final Examination. Coursework will comprise assignments, tests, quizzes, etc. The Final Examination will be a single three hour paper.
The weighting of Coursework and Final Examination will be:
Coursework = 50%
Final exam = 50%
DESCRIPTION OF THE COURSE
Algebra (20 hours) weighting = 35%
Indices, surds, logarithms. Algebraic solutions of quadratic equations, Inequalities, Simultaneous equations. Polynomials: Factorisation, Synthetic Division, The remainder theorem. Partial Fractions. Functions.
Trigonometry (20 Hours) weighting = 30%
Angular measurements. Degrees and radians. Length of arc, area of sector, area of segment, Elevations and depressions, Trigonometric ratios. Addition, Double-angle formula. Solution of triangles. Trigonometric Identities.
Calculus (20 hours) weighting = 35%
Limits and Derivatives. Differentiation of Algebraic functions. Methods of Differentiation, Application of differentiation to find maxima,minima, inflexion, tangents, normal, rates of change and small increases.
Integration of algebraic and trigonometric functions. Application to finding arc length, areas and volume of revolution.
Stroud,K.A. Engineering Mathematics. Sixth Edition.