Authorised by Academic Registrar, April 1996
Objectives On the completion of this subject students will improve skills in dealing with functions and learn of new functions; be able to calculate elementary limits; be acquainted with the idea of continuity; extend the range of skills required to calculate derivatives and expand the scope of applications in differential calculus; comprehend the notion of integral as area, develop skills required to calculate integrals and use integrals in applications; understand vector algebra and use vectors in three dimensional geometry, particularly of straight lines and planes; understand the algebra and geometry of complex numbers and become skilled at calculations involving complex numbers; be able to calculate Taylor series and appreciate the role of Taylor series in estimation of functions; recognise the importance of convergence of series; become acquainted with computer algebra and its use in calculus.
Synopsis Functions, limits and continuity. Derivatives and applications. Integration, applications and techniques. Vector algebra and geometry; straight lines and planes. Complex numbers. Taylor series; series convergence. An introduction to computer algebra using DERIVE.
Assessment Examinations (3 hours): 85% + Assignments (6): 15%