General Mathematics

University of Otago

Course Description

  • Course Name

    General Mathematics

  • Host University

    University of Otago

  • Location

    Dunedin, New Zealand

  • Area of Study

    Mathematics

  • Language Level

    Taught In English

  • 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

  • Credit Points

    18
  • Recommended U.S. Semester Credits
    3 - 4
  • Recommended U.S. Quarter Units
    4 - 6
  • Overview

    Topics such as basic mathematical models, operations research, introductory calculus, compound interest, exponential growth and decay, simple integration as well as exponential, logarithmic and trigonometric functions.

    Mathematics occurs in almost every field of study and certainly in every quantitative discipline. Getting on top of even basic mathematical techniques is an important step to being able to understand the analytical processes in those fields - processes that deal with, for example, chemical reactions, financial models, population interactions between species and the stresses in the structural members of a bridge. This is an ideal paper for those who need or want to take at least a service paper in mathematical methods and do not yet have a background in mathematics sufficiently strong to join the MATH 160 class. 

    Emphasis is placed on understanding via examples, and you will use the methods taught to study a variety of practical problems. In the process your manipulation skills in algebra and calculus will improve, and you will gain insight into the usefulness of the techniques. It will also provide you with an appreciation of the value and power of mathematics and the motivation to progress to further MATH papers. In particular you will cover such topics as linear and quadratic models, linear programming, functional notation, differentiation, rates of change, graphing of functions, optimisation problems, exponentials and logarithms, compound interest, exponential growth and decay, and simple integration.

    Course Structure
    Main topics:
    - Basic algebraic manipulation
    -Equations of lines
    -Systems of linear equations
    -Quadratics
    -Arithmetic progressions
    -Compound interest
    -Linear programming
    -Rates of change
    -Differentiation
    -Graphing functions
    -Optimization problems
    -Simple integration
    -Finding areas
    -Exponential, log and trig functions
    -Differential equations

    Learning Outcomes
    Basic mathematical literacy, demonstrated understanding of where and how central concepts are used.

Course Disclaimer

Courses and course hours of instruction are subject to change.

Eligibility for courses may be subject to a placement exam and/or pre-requisites.

Some courses may require additional fees.

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.

Please reference fall and spring course lists as not all courses are taught during both semesters.

Availability of courses is based on enrollment numbers. All students should seek pre-approval for alternate courses in the event of last minute class cancellations

Please note that some courses with locals have recommended prerequisite courses. It is the student's responsibility to consult any recommended prerequisites prior to enrolling in their course.