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An introductory course in calculus and linear algebra that is designed primarily for students who have done well in NCEA Mathematics with Calculus. This course deals with basic ideas in calculus and linear algebra which have applications in many areas of science and commerce.
The work in MATH102 is based around the fundamental ideas in linear algebra and calculus which students started studying at school. It is designed for science and commerce students taking a quantitatively based degree programme and can be taken as a standalone course or as the first part of a three part core in mathematics, MATH102-MATH103-MATH201.Topics:Linear equations and matrices; Numbers and Functions; Differentiation and applications; Integration and applications.Recommended preparation:Suitable backgrounds for MATH102 include good NCEA level 3 calculus results (see entry recommendations for recent school leavers) or a pass in MATH101.
Students who have succeeded in this course will be able to:Define the key concepts in:- solving systems of linear equations- matrix algebra- functions and their inverses- single-variable calculusDescribe and interpret:- the connection between matrices and linear systems- solutions of linear systems geometrically, and in context- graphs and properties of functions- the key theorems of calculus- the relationships between differential and integral calculus.Use techniques from the course to:- solve systems of linear equations- evaluate limits of functions and solve continuity problems- find derivatives and use them in a variety of applications- find integrals and use them in a variety of applications.Identify the appropriate method of solution for problems in linear algebra and calculus.
MATH108, MATH199, EMTH118
Phillipa Gourdie
Ngin-Tee Koh
Assessment will consist of tutorial attendance, online quizzes, a test and a final exam.
There is no required text for this course. Recommended reading:Calculus: Early Transcendentals, Anton, Bivens, Davis; 10th edition; Wiley (8th and 9th edition also suitable).Note: If you are carrying on with MATH103, this text is a worthwhile investment.
Entry recommendations for recent school leavers General information for students Library portal LEARN
Domestic fee $735.00
International fee $3,525.00
* All fees are inclusive of NZ GST or any equivalent overseas tax, and do not include any programme level discount or additional course-related expenses.
For further information see Mathematics and Statistics .