Mathematics 1004

University of Cape Town

Course Description

  • Course Name

    Mathematics 1004

  • Host University

    University of Cape Town

  • Location

    Cape Town, South Africa

  • Area of Study

    Mathematics

  • Language Level

    Taught In English

  • Prerequisites

    Course entry requirements: The normal minimum requirement is a pass in Mathematics with at least 70% for students with a NSC, or at least an E symbol at A-level. Students who fail MAM1004F are usually expected to register for MAM1004S in the 2nd semester.

  • Course Level Recommendations

    Lower

    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

    18
  • Recommended U.S. Semester Credits
    3
  • Recommended U.S. Quarter Units
    4 - 5
  • Overview

    Course outline:
    The aim of this course is to provide mathematics for applications, particularly in the Life and Earth
    sciences. The syllabus covers the following topics: Functions and graphs. Straight lines, power functions, polynomials, exponential and logarithmic functions, trigonometric functions (radians). Discrete-time dynamical systems. Stability and equilibria. Rates of change. Limits, derivatives. Maxima and minima. Concavity. Asymptotes and curve sketching. Newton's Method. Taylor Polynomials. Antiderivatives and integrals. Mathematical modelling. Separable and linear differential equations.

Course Disclaimer

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.