The University of Newcastle, Australia
Available in 2019

Course handbook

Description

Continues the development of linear algebra and calculus from MATH1210. In algebra, students learn how matrices may be simplified by an appropriate choice of coordinates. Known as the eigenvalue technique, this is a very powerful mathematical tool and is used throughout Science and Engineering. In calculus, students learn the mathematics behind algorithms used in calculators for computing exponential, trigonometric and other functions. They are also introduced to functions of several variables and to the notion of a differential equation, which are key concepts in mathematical modelling.

This course is a sequel to MATH1210 and is likewise intended for prospective mathematics majors and those who have a strong background in mathematics. There is substantial overlap with MATH1120; students' performance on this common material is compared and used to scale the marks to ensure that comparable students achieve comparable grades.


Availability2019 Course Timetables

Callaghan

  • Semester 2 - 2019

Learning outcomes

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

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

2. Demonstrate understanding of high school mathematics by developing a more rigorous approach.

3. Demonstrate effective reasoning, and be able to use their mathematical skills elsewhere.


Content

  1. Sequences and series.
  2. Differential calculus of several variables.
  3. Ordinary differential equations.
  4. Linear algebra: matrices, determinants, eigenvectors, diagonalisation.

Assumed knowledge

MATH1220Mathematical Discovery 2Continues the development of linear algebra and calculus from MATH1210. In algebra, students learn how matrices may be simplified by an appropriate choice of coordinates. Known as the eigenvalue technique, this is a very powerful mathematical tool and is used throughout Science and Engineering. In calculus, students learn the mathematics behind algorithms used in calculators for computing exponential, trigonometric and other functions. They are also introduced to functions of several variables and to the notion of a differential equation, which are key concepts in mathematical modelling.

This course is a sequel to MATH1210 and is likewise intended for prospective mathematics majors and those who have a strong background in mathematics. There is substantial overlap with MATH1120; students' performance on this common material is compared and used to scale the marks to ensure that comparable students achieve comparable grades.FSCITFaculty of Science724School of Mathematical and Physical Sciences1010005980Semester 2 - 2019CALLAGHANCallaghan2019MATH1210 Sequences and series. Differential calculus of several variables. Ordinary differential equations. Linear algebra: matrices, determinants, eigenvectors, diagonalisation. YOn successful completion of this course, students will be able to:1Demonstrate a firm foundation for later studies in algebra and analysis, the two main branches of mathematics.2Demonstrate understanding of high school mathematics by developing a more rigorous approach.3Demonstrate effective reasoning, and be able to use their mathematical skills elsewhere. Quiz: QuizFormal Examination: ExaminationWritten Assignment: Take home assignment CallaghanLectureFace to Face On Campus4hour(s)per Week for0Full Term0TutorialFace to Face On Campus2hour(s)per Week for11Weeks0


Assessment items

Quiz: Quiz

Formal Examination: Examination

Written Assignment: Take home assignment


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 11 Weeks