Bachelor of Engineering (Environmental): Year 1 Outline

The objectives of this course are to develop in students the skills necessary to interpret and use accounting and financial information in a business context, and to introduce students to accounting systems. The following topics will be covered: Accounting Information, Financial Analysis, Financial Planning, and Management Accounting. Chain surveying. Level and theodolite adjustments. Levelling. Traverse surveying. Tacheometry. Contouring. Hydrographic surveying. Areas and volumes. Mass haul diagrams. Geodimeter. Setting out engineering works. Photogrammetry. Theory of Errors. Geographic information systems. GPS. Field work. Historical perspective. The Engineer in society. Concepts of equilibrium. Fundamental behaviour of solids and fluids. Historical perspective. The Environment and society. Concepts of equilibrium. Fundamental behaviour of solids and fluids. Introduction to water and wastewater treatment. The Graphic Language and Design. Lettering. Geometric Constructions, including ellipse, parabola, hyperbola, cycloid, helix, spiral, etc. Orthographic Projection. Multiview Drawing. Sectional Views. Primary and Secondary Auxiliary Views. Dimensioning. Design and Working Drawings. Axonometric Drawing. Oblique Drawing. Perspective Drawing. Intersections. Developments. Motion under mechanical restraint. Sketching and Shape Description. Instrument Drawing. Computer Aided Drawing using AutoCAD. Engineering Graphics Laboratory – Year’s Work ((E.Clifford, L.Xiao). Execution of approximately 20 instrument and AutoCAD drawings, involving the following: Lettering, Geometric Constructions, Orthographic Projection, Multiview Drawing, Sectional Views, Primary and Secondary Auxiliary Views, Dimensioning, General Layout and Assembly Drawings, Axonometric Drawing, Oblique Drawing, Intersections, Developments, Motion under mechanical restraint. Some sketching is also included. Introduction to computer architecture. Programming in selected high level languages, Introduction to applications packages including word processing, spreadsheets etc. Computers for data acquisition and control. Specified computational assignments. Section A: Concepts of equilibrium. Fundamental behaviour of structures.

Section B: Historical review of Project Management and Construction Management. Overview of Project Management to include: Project Initiation, Scope, Time, Cost, Scheduling, Resourcing, Quality, Communications and Risk. Atomic structure, Chemical arithmetic, Bonding, Properties of solids, Gases, Phase changes, Solutions, Separation techniques, Thermodynamics, Kinetics, Equilibria, Redox processes, Acids and bases, Environmental Chemistry, Organic chemistry, Special topics. First year laboratory work. Students attend one three-hour laboratory session per week This is a foundation course for further studies in IT, and covers most of the relevant topics at an introductory level. The course also provides a thorough understanding of packaged applications including Word Processing, Spreadsheets, Databases, Statistical and other modelling tools, and Graphical applications. Risk modelling and quantification legal framework for health and safety. Cost and acceptability of risk. Human factors in health and safety. Corporate responsibility and effective management. Safety statements and safety standards. Limits and graphs of a continuous function of one real variable. Continuity and derivative of a function. Engineering applications of the Intermediate Value Theorem. Determining derivatives from first principles. Techniques of differentiation. Finding tangents, maxima/minima, points of inflection of functions. Accurate curve sketching. Applications to engineering problems on rates of change (acceleration, inflation) and maxima/minima. Definition of an integral. Numerical approximations of integrals. Applications of the Fundamental Theorem of Calculus. Techniques of integration.Computation of lengths of curves, areas of planar regions, and volumes of revolution. Power series representation of functions, including Taylor’s Theorem. 1. Algebra: Engineering problems modelled by systems of linear equations. Solving systems (with a unique solution) by gaussian elimination. Computer demonstrations. Vectors, planes and intersections of planes in n-dimensional euclidean space. Finding the general solution of a system of m linear equations in n unknowns. Inconsistent/consistent systems. Matrix algebra. Inverse, transpose and adjoint matrices. Linear transformations of the plane. Computer applications to engineering problems such as: Kirchoff’s Laws, computer graphics. Definition and properties of a determinant. Efficient computation of determinants using row operations. Volumes of parallelograms/parallelopipeds. Theoretical formula for the inverse of a matrix. Complex numbers: argument, modulus, Argand diagram, de Moivre’s Theorem. Applications to trigonometric functions. Complex roots of polynomials. Roots of unity. Factorization of real polynomials. Characteristic polynomials, eigenvalues, eigenvectors and diagonalization of matrices. Classification of conic sections. Orthogonal transformations of the plane, and an application to finding standard forms for conic sections. Differential Equations and Probability Introduction to Data and Probability. Ordinary differential equations, with emphasis on modelling and applications in Engineering, including harmonic oscillators and projectile motion. 1. Calculus (MA101) Functions and graphs; informal limits. Calculation of limits; limits as x, asymptotes. Differentiation by rule; the Chain Rule. Review of trigonometry; limits and differentiation of trigonometric functions. Graphs,tangents,maxima and minima, concavity. Word problems,related rates. Introduction to log x and ex, logarithmic differentiation, differentiation of ax etc. Continuity and differentiability; differentiation from first principles. Tangents to a graph; Newton’s Method. The Mean Value Theorem; application to increasing and decreasing functions, de l’Hopital’s Rule. Riemann sums, the Trapezoidal Rule; the Fundamental Theorem of the Calculus. The logarithmic function as an integral, and its properties; the exponential function. Definite integrals, areas between curves. Indefinite integration; integration by substitution, integration by parts. Reduction formulae, partial fractions, inverse trigonometric functions, etc. Implicit differentiation; first order differential equations: separable and linear equations.
2. Algebra (MA103) Introduction to 2 x 2 matrices and determinants. Transpose, adjoint and inverse. Characteristic equation, eigenvalues and eigenvectors. Applications: geometry, linear transformations, linear equations. Conics: ellipse, hyperbola and parabola. The principal of Induction. Complex numbers: de Moivre’s Theorem, applications to trigonometry and roots of unity, solution of equations. Introduction to 3 x 3 matrices and determinants. Transpose, adjoint and inverse. Application to linear equations. Markov processes: transition, matrices, steady states, recurrence relations. Vectors in two and three dimensions, Kinematics, Relative velocity, Newton’s Laws of motion, Conservation of momentum, Work, power and energy, Circular motion and angular momentum, Systems of particles and centres of mass This course is an introduction to the principles of management. Students will be introduced to the purpose and challenges of the management of organisations. The course is structured around the four key management processes: planning, leading, organising and controlling. Wave nature of light, refraction, geometrical optics, mirrors, prisms, lenses, optical instruments, principle of linear superposition, interference, Young's slits, diffraction, resolving power. (~9 hrs) Kinematics in one dimension, force, Newton's Laws, work, energy, circular motion, gravity, conservation of momentum and energy, (~9 hrs) Electric charge, Coulombs Law, electric field and potential, basic electrical circuit laws, magnetism, magnetic induction, (~9 hrs) Photoelectric effect, line spectra, Bohr model of the atom, x-rays, lasers, the nucleus, nuclear energy, radioactive decay, radiological safety. (~9 hrs) Laboratory work