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# CHANCELLOR Sir George Alleyne OCC, MD, FRCP, FACP (Hon), Hon. DSC (UWI) - page 111 / 136

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The

FA C U L T Y Faculty

BOOKLET 2004 – 2005 of Science & Agriculture

MATH 0110 (M 08C) CALCULUS AND ANALYTICAL GEOMETRY [No credits]

MATH 1150 (M 12B) FUNCTIONS OF REAL VARIABLES (6 credits)

Prerequisite: CXC Mathematics or equivalent Co-requisite: MATH 0100 (M08B) Syllabus: The following topics will be treated with the minimum of rigour, but with emphasis on the understanding of the concepts in- volved. Calculus:Functions, limits, continuity, differentiabil- ity, higher derivatives and application, anti-derivatives, Simpson’s rule and the integral. Elementary methods of inte- gration and solutions of simple differential equations. Analyti- cal Geometry: Equations and representations of elementary plane curves. Applications of calculus to determine equations of tangents, normals and in the computation of areas and volumes.Examination:One 3-hour paper

Prerequisites: A-level Mathematics, MATH 0100 and MATH 0110, (M 08B & M 08C) or equivalent Syllabus: Functions and Inverse Functions. Limits, continuity and dif- ferentiability. Indeterminate forms. Maxima and Minima, Rolle, Mean-Value and Taylor’s Theorems. Polar coordinates. Para- metric representation and sketching of curves. Arc Length. The definite integral, primitives and methods of integration. Ordi- nary differential equations - first and second order. Methods of undermined coefficients (repeated roots included) and reduc-

tion of order. Introduction to partial derivatives. Examination: One 3—hour written paper Coursework

75% 25%

# 85%Course Test

15%

MATH 1140 (M 12A) BASIC INTRODUCTORY MATHEMATICS (6 credits)

Prerequisites: A-level Mathematics, MATH 0100 and MATH 0110, (M 08B & M 08C) or equivalent Syllabus: Basic concepts in Logic, logical arguments and proofs. Sets and set operations, relations, functions and binary operations. The Natural Numbers and Induction, The Real Numbers, So- lutions of linear inequalities. Complex Numbers, De Moivre’s Theorem, roots of unity and the Argand diagram; Vectors in Geometry, vector equations of lines and planes, and the cross product. Solutions of systems of linear equations using Gaussian Elimination. Matrices and matrix algebra. Determi- nants of square matrices and their evaluation, using elemen-

MATH 1160 (M 15A) INTRODUCTORY MECHANICS I (6 credits)

Prerequisite: A-Level Applied Mathematics Syllabus: Functions of two variables, partial differentiation, vector analy- sis. Introduction to Statics: Coplanar forces: forces acting at a point, moments, parallel forces, couples. Centre of Gravity. Introduction to Newtonian Mechanics: Kinematics, dynamics of particle. Work, energy, momentum, conservation laws, straight-line motion in a resisting medium, projectiles. Simple

Harmonic Motion. Examination- One 3 -hour written paper Coursework

75% 25%

tary row transformations. Examination: One 3-hour written paper Coursework

75% 25%

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