Authorised by Academic Registrar, April 1996
Objectives On the completion of this subject students will be able to calculate limits; have some understanding of the notion of continuity; appreciate the value of general statements (theorems) in calculus; have improved and extended skills in calculating derivatives and expanded the range and depth of applications; understand what is involved in the idea of integral; have developed skills in calculating integrals and applying integration to compute area, length, volume etc; understand the basic properties of sequences and series and appreciate the role of series in estimation of functions; calculate Taylor series and appreciate the role of Taylor series in estimation of functions; apply tests to series to check whether they converge or not; be acquainted with computer algebra and its use in calculus.
Synopsis Limits and continuity. Derivatives and applications. Integration, applications and techniques. Sequences and series; Taylor series. An introduction to computer algebra using DERIVE.
Assessment Examination (2 hours): 85% + Assignments (5): 15%