 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

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.

RECOMMENDED TEXT

Stroud,K.A.  Engineering Mathematics.  Sixth Edition.