MAT1010

Mathematics I

Coordinator: Dr Alan Pryde

6 points
* Three 1-hour lectures and one 1-hour tutorial per week
* First/second semester
* Clayton
* Prerequisites: VCE Specialist Mathematics and, at levels 3 and 4, Mathematical Methods
* Prohibitions: GAS1613, MAT1050, MAT1055, MAT1811, MAT1841, MAT1910

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.

Assessment Examination (3 hours): 85%
* Assignments/tutorials: 15%

Prescribed texts

Stewart J Calculus 3rd edn, Brooks Cole, 1995 (packaged together with Heuvers K and others Linear algebra for calculus Brooks Cole, 1991)