MATH102-12S1 (C) Semester One 2012

Mathematics 1A

15 points

Details:
Start Date: Monday, 20 February 2012
End Date: Sunday, 24 June 2012
Withdrawal Dates
Last Day to withdraw from this course:
  • Without financial penalty (full fee refund): Sunday, 4 March 2012
  • Without academic penalty (including no fee refund): Sunday, 20 May 2012

Description

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.

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

Restrictions

MATH108, MATH199, EMTH118

Course Coordinator / Lecturer

David Wall

Lecturers

Nicholas Duncan , Maarten McKubre-Jordens and Blair Robertson

Assessment

Assessment Due Date Percentage 
Internal Assessment - TBA 50%
Final Examination 50%

Textbooks / Resources

Required Texts

Anton, Howard., Bivens, Irl., Davis, Stephen; Calculus: Early Transcendentals ; 9th edition; Wiley (8th edition also suitable).

Indicative Fees

Domestic fee $622.00

International fee $3,200.00

* 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 .

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