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 Campus

  • Semester 1 - 2015

Learning Outcomes

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.

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

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