MATH102-12S2 (C) Semester Two 2012

Mathematics 1A

15 points, 0.1250 EFTS
09 Jul 2012 - 11 Nov 2012


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.

Topics: 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


MATH108, MATH199, EMTH118

Streams Day Time Where Notes
Stream 01 Monday , Friday 3:00pm-4:00pm E5 Lecture Theatre 24 Sep - 14 Oct
Tuesday 3:00pm-4:00pm C3 Lecture Theatre 24 Sep - 14 Oct
Thursday 2:00pm-3:00pm Law 108 24 Sep - 14 Oct

Streams Day Time Where Notes
Stream 01 Monday 11:00am-12:00pm Erskine 121 16 Jul - 22 Jul,
30 Jul - 19 Aug,
3 Sep - 9 Sep,
17 Sep - 14 Oct
Stream 02 Tuesday 10:00am-11:00am Erskine 111 16 Jul - 22 Jul,
30 Jul - 19 Aug,
3 Sep - 9 Sep,
17 Sep - 14 Oct
Stream 03 Thursday 11:00am-12:00pm Erskine 101 16 Jul - 22 Jul,
30 Jul - 19 Aug,
3 Sep - 9 Sep,
17 Sep - 14 Oct
Stream 04 Wednesday 10:00am-11:00am Erskine 445 16 Jul - 22 Jul,
30 Jul - 19 Aug,
3 Sep - 9 Sep,
17 Sep - 14 Oct

Course Coordinator / Lecturer

Douglas Bridges


Miguel Moyers Gonzalez and Robin Tiffen


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

Examination and Formal Tests

Exam Thursday 08 Nov 2012 2:30pm-5:00pm  
Test Tuesday 04 Sep 2012 7:00pm-8:30pm A1 Lecture Theatre


Required Texts

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


Domestic fee $622.00

International fee $3,200.00

For further information see Mathematics and Statistics.

All MATH102 Occurrences