Linearity and Continuity

University of Newcastle

Course Description

  • Course Name

    Linearity and Continuity

  • Host University

    University of Newcastle

  • Location

    Newcastle, Australia

  • Area of Study

    Algebra, Mathematics

  • Language Level

    Taught In English

  • Prerequisites

    MATH1120

  • Course Level Recommendations

    Upper

    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.

    Hours & Credits

  • Host University Units

    10
  • Recommended U.S. Semester Credits
    3 - 4
  • Recommended U.S. Quarter Units
    4 - 6
  • Overview

    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.
    LEARNING OUTCOMES
    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.
    ASSESSMENT ITEMS
    Written Assignment: Assignments
    In Term Test: Examination
    Quiz: Quiz
    Formal Examination: Examination - Formal

Course Disclaimer

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.