MATH102-12S2 (C)
Mathematics 1A
This is a semester two course worth 15 points.
Course Information
MATH102 is designed for science and commerce students taking a quantitatively based degree programme .
It can be taken as a standalone course, or as the first part of a three part core in mathematics MATH102 - MATH103 - MATH201. The course consolidates the calculus concepts learned at school and introduces a variety of more advanced techniques of calculus. MATH102 also has a significant component of matrix algebra and vector geometry, including both theory and applications. The computer packages MAPLE and MATLAB are introduced. Small-class tutorials and online learning modules (with weekly quizzes) are integrated into the course, and form an important part of student's learning.
The main topics covered are: systems of linear equations and Gaussian elimination; matrix algebra; vector geometry (including interpretation of solutions to linear systems); continuity, limits and techniques of differentiation; applications including optimisation; theory and techniques of integration; introduction to multivariable calculus (including partial derivatives and multivariate optimisation).
Suitable backgrounds for MATH102 include good NCEA level 3 calculus results (see entry recommendations for recent school leavers) or a pass in MATH101.
Learning outcomes
• to consolidate and extend the ideas and techniques of calculus and its applications
• to introduce the concepts of linear algebra and its applications
• to increase understanding of the mathematical foundations of the topics studied
• to practise the application of mathematical concepts and techniques to understanding and solving problems
• to introduce computer software used to solve mathematical problems
Other occurrences
Text
Anton, Howard., Bivens, Irl., Davis, Stephen; Calculus: Early Transcendentals; 9th Edition; Wiley (8th edition also suitable).
Enquiries
Prof. Douglas Bridges
Room 704 Erskine Building
Phone Extension 8878
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