University of Otago
Dunedin, New Zealand
Area of Study
Algebra, Calculus, Mathematics
Taught In English
MATH 160 or (MATH 101 and MATH 102)
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.
Recommended U.S. Semester Credits3 - 4
Recommended U.S. Quarter Units4 - 6
Hours & Credits
This paper is divided between algebra and calculus components (which can be taken as separate 9 point papers). The algebra component covers vectors, matrices, linear transformations, eigenvalues and introduces aspects of discrete mathematics. The calculus component covers sequences and series, inverse trigonometric and hyperbolic functions, advanced integration techniques, differential equations and their applications.
Algebra and Calculus form the basic tools used to produce most mathematical frameworks for modelling quantifiable phenomena. For example, to model the movement of an object through space we need first to create an algebraic structure in which to specify where our object is, and then we can study how that position changes with time (i.e. its movement) using calculus.Many other problems arising in areas such as Economics or Chemistry, can be examined in a mathematical way using the same basic ideas. For example, we may need to minimise a manufacturing cost or the time for a chemical reaction to take place or the effects of river pollution; in each case the techniques used for the minimisation are based on a mixture of algebra and calculus theories.
This paper aims to develop skills with these tools both for use in other subjects and in preparation for further study of Mathematics.
MATH 170 is the natural continuation of MATH 160 and provides the basis for progression to 200-level Mathematics, as well as a good mathematical background to support other subjects.
-Algebra and geometry of 3-dimensional vectors
-Manipulation of matrices and matrix equations
-Introduction to linear transformations
-Eigenvalues and eigenvectors
-Discrete mathematics, including mathematical induction, Diophantine equations and basic counting techniques
-Sequences, series and Taylor series
-Natural log, exponential, hyperbolic, inverse trigonometric and hyperbolic functions
-Methods of integration
-Arc length; volumes and surfaces of revolution
-Solving differential equations
Demonstrate in-depth understanding of the central concepts and theories
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.