Linearity and Continuity
|Course code MATH2340||Units 10||Level 2000||Faculty 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
|Objectives||At 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.
|Modes of Delivery||Internal Mode|
|Contact Hours||Lecture: for 4 hour(s) per Week for Full Term|
|Timetables||2015 Course Timetables for MATH2340|