Advanced Calculus


Course Description

  • Course Name

    Advanced Calculus

  • Host University


  • Location

    Sydney, Australia

  • Area of Study

    Calculus, Mathematics

  • Language Level

    Taught In English

  • Prerequisites

    35102 - Introduction to Analysis and Multivariable Calculus or equivalent


    33230 - Mathematical Modelling 2 or equivalent


    33360 - Mathematics for Physical Science or equivalent


    37132 - Introduction to Mathematical Analysis and Modelling or equivalent

  • 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.

    Hours & Credits

  • Host University Units

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

    Transform methods such as the Laplace transform are useful in solving differential equations that arise in many areas of applications including signal analysis, mathematical finance and various queuing models in quantitative management. This subject highlights the areas of advanced calculus needed to justify the use of complex integration to invert the Laplace Transform when solving such problems. Topics include line integrals; Green's theorem; functions of a complex variable; analytic functions; Cauchy-Riemann equations; complex integrals; Cauchy's integral theorem; residues and poles; contour integration; and inversion of Laplace Transform.


    Course typically offered during the Spring semester

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.