MATH102-17S2 (C) Semester Two 2017

Mathematics 1A

15 points

Details:
Start Date: Monday, 17 July 2017
End Date: Sunday, 19 November 2017
Withdrawal Dates
Last Day to withdraw from this course:
  • Without financial penalty (full fee refund): Friday, 28 July 2017
  • Without academic penalty (including no fee refund): Friday, 13 October 2017

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.

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.

Learning Outcomes

  • 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 calculus

  • Describe 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.

Restrictions

MATH108, MATH199, EMTH118

Course Coordinator / Lecturer

Phillipa Gourdie

Lecturer

Ngin-Tee Koh

Assessment

Assessment Due Date Percentage 
Tutorials 10%
Online quizzes 10%
Online test 2%
Test 30%
Final examination 48%


Assessment will consist of tutorial attendance, online quizzes, a test and a final exam.

Textbooks / Resources

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.

Indicative Fees

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 .

All MATH102 Occurrences