Mathematical Discovery 1

Description

Gives students a firm grounding in the main ideas of algebra and calculus. In algebra, students learn concepts and symbolic manipulation used when calculating with large numbers of variables. In calculus, they learn concepts used when working with continuously changing variables. Both ways of thinking are essential in Mathematics and when creating and using mathematical models in Science, Engineering and Commerce.

All students whose degree requires first-year mathematics may take MATH1210 in preference to MATH1110. There is substantial overlap between MATH1110 and MATH1210; students' performance on this common material is compared and used to scale the marks to ensure that comparable students achieve comparable grades.

Availability

Callaghan

  • Semester 1 - 2016
  • Semester 1 - 2017

Learning Outcomes

On successful completion of the course students will be able to:

1. To develop a firm foundation for later studies in algebra and analysis, the two main branches of mathematics.

2. To develop an understanding of high school mathematics by developing a more rigorous approach.

3. To develop students' capacity for effective reasoning, and their ability to use their mathematical skills elsewhere.

Content

  1. Limits, continuity, differentiation.
  2. Integration, calculation of areas and volumes.
  3. Complex numbers.
  4. Vectors and their products.
  5. Matrices and systems of linear equations.

Requisites

To enrol in this course students must have successfully completed MATH1002.

This course has a prerequisite, either being - band 5 or better in the NSW HSC course "Mathematics" (Commonly known as "2 unit mathematics") or; - completion of extension 1 or extension 2 mathematics in the NSW HSC or; - a pass in BOTH MTH001A and MTH002A NIC courses or; - a pass in MATH1002 or; - a mark of 10/20 or better in an invigilated sitting of the MATH1110 Math Placement Test*, or; - or equivalent qualifications as approved by the Head of School, School of Mathematical and Physical Sciences. * Please note that only one attempt at this invigilated quiz is permitted.

Assumed Knowledge

HSC Mathematics Extension 2 or HSC Mathematics Extension 1 (Band 4) or equivalent. Students who do not have this assumed knowledge are advised to take MATH1110. Bachelor of Mathematics students will also need to complete MATH1510 Discrete Mathematics

Assessment Items

Written Assignment: Assignments

Formal Examination: Examinations

Contact Hours

Callaghan

Lecture

Face to Face On Campus 4 hour(s) per Week for Full Term

Tutorial

Face to Face On Campus 2 hour(s) per Week for Full Term