MATH103-15SU2 (C) Summer Nov 2015 start

Mathematics 1B

15 points

Details:
Start Date: Monday, 30 November 2015
End Date: Sunday, 14 February 2016
Withdrawal Dates
Last Day to withdraw from this course:
  • Without financial penalty (full fee refund): Sunday, 13 December 2015
  • Without academic penalty (including no fee refund): Sunday, 24 January 2016

Description

A consolidation of concepts from MATH102 and introduction to more advanced ideas in calculus and linear algebra. It also incorporates some study of statistics. It is a prerequisite for many courses in mathematics and other subjects at 200-level.

Due to the condensed nature of this course students are expected to attend every lecture AND every tutorial, at the times specified, on the following days:

Lecture Times: Tue 9 - 10.30; Wed 11 - 12.30; Thu 12 - 1:30; Fri 9 - 10.30
Tutorial Times: Tue 11 - 12; Wed 1 - 2; Thu 2 - 3; Fri 11 – 12

The official start date for the course is 30th November 2015. In the first week we will be posting self-study material and revision units in Learn. You should study these at home to prepare for the start of on-campus lectures the following week. Tutorials follow every lecture, that is, each day there will be a tutorial with exercises to practise the material covered in that day's lecture. Lectures resume after the Christmas break in the week starting 4th January.

You must be able to make a commitment to being on-campus from 7th December to 18th December and 5th January to 5th February (inclusive), plus the exam in mid-February, before enrolling in this course.

MATH103 deals with techniques and ideas in algebra, calculus and statistics. It is designed mainly for students who have passed MATH102, and who need at least 30 points of Mathematics at the 100 level. After passing MATH103, you will be able to enrol in any 200-level mathematics course.

Topics: vectors and geometry, eigenvalues and eigenvectors, sequences and mathematical induction, series and approximation, techniques and applications of integration, differential equations, probability.

Learning Outcomes

  • Students who have succeeded in this course should be able to:

    Define the key concepts associated with:
  • vectors in two and three dimensions,
  • eigenvalues and eigenvectors,
  • convergence of sequences,
  • Taylor polynomials and series,
  • integrals and differential equations,
  • probability.

    Use techniques from the course (including the use of MAPLE where appropriate) to:
  • solve problems involving dot or cross products of vectors,
  • find the eigenvalues and eigenvectors of small matrices,
  • prove simple statements using the principle of mathematical induction,
  • test sequences or series for  convergence,
  • find Taylor polynomials and use them to solve problems involving limits or approximation,
  • evaluate integrals involving trigonometric functions or rational functions,
  • solve elementary first or second order differential equations,
  • calculate means and variances of probability distributions.

    Describe and interpret:

  • the connection between vectors  and the geometry of lines and planes,
  • the solutions of differential equations in a variety of contexts,
  • the meaning of a random variable in a variety of contexts.

    Identify the appropriate method of solution for differential equations and integrals.

    Synthesise appropriate techniques from different sections of the course, for example, combining techniques of integration and skill at limit evaluation to determine improper integrals.

Prerequisites

MATH102 or MATH108 or EMTH118

Restrictions

MATH109, MATH199, EMTH119

Course Coordinator / Lecturer

Irene David

Lecturer

Phillipa Gourdie

Indicative Fees

Domestic fee $699.00

International fee $3,450.00

* 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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