Linearity and Continuity
University of Newcastle
Area of Study
Taught In English
Course Level Recommendations
ISA offers course level recommendations in an effort to facilitate the determination of course levels by credential evaluators.We advice each institution to have their own credentials evaluator make the final decision regrading course levels.
Host University Units10
Recommended U.S. Semester Credits3 - 4
Recommended U.S. Quarter Units4 - 6
Hours & Credits
OverviewA 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.LEARNING OUTCOMES1. An understanding of the role of formal processes and language in mathematics2. Experience in communicating convincing and reasoned mathematical arguments3. Skills and knowledge in linear algebra and introductory analysisCONTENTFormal 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.ASSESSMENT ITEMSWritten Assignment: AssignmentsIn Term Test: ExaminationQuiz: QuizFormal Examination: Examination - Formal
Courses and course hours of instruction are subject to change.
Credits earned vary according to the policies of the students' home institutions. According to ISA policy and possible visa requirements, students must maintain full-time enrollment status, as determined by their home institutions, for the duration of the program.