Linearity and Continuity

Course code MATH2340Units 10Level 2000Faculty of Science and Information TechnologySchool of Mathematical and Physical Sciences

A deeper understanding and experience in the formulation of well-reasoned mathematics is developed in this course. Topics in linear algebra and introductory analysis provide specific knowledge and skills for later studies in Mathematics. The focus of the course is on the concepts of linearity and continuity which are fundamental for higher mathematics and its applications.

The course supplements MATH1110/1120 to provide assumed knowledge equivalent to MATH1210/1220. The sequence MATH1110/1120/2340 is thus a pathway to all advanced mathematics courses offered at 2000 and 3000 level.

Available in 2015

Callaghan CampusSemester 1
Previously offered in 2014
ObjectivesAt the completion of this course a student will have
1. an understanding of the role of formal processes and language in mathematics
2. experience in communicating convincing and reasoned mathematical arguments
3. skills and knowledge in linear algebra and introductory analysis
Content. Formal mathematics and proof, including quantifiers, deductive reasoning, proof by induction, proof by contradiction.

. Linear Algebra of vectors and matrices, including topics such as vector spaces, bases, linear transformations, eigenvectors and diagonalisation.

. Introductory analysis, including topic such as sequences, series, convergence and continuity.
Replacing Course(s)n/a
Transitionn/a
Industrial Experience0
Assumed KnowledgeMATH1120
Modes of DeliveryInternal Mode
Teaching MethodsLecture
Tutorial
Assessment Items
Essays / Written Assignments
Examination: Formal
Quiz - Class
Contact HoursLecture: for 4 hour(s) per Week for Full Term
Timetables2015 Course Timetables for MATH2340