MATH103-25S2 (C) Semester Two 2025

Mathematics 1B

15 points

Details:
Start Date: Monday, 14 July 2025
End Date: Sunday, 9 November 2025
Withdrawal Dates
Last Day to withdraw from this course:
  • Without financial penalty (full fee refund): Sunday, 27 July 2025
  • Without academic penalty (including no fee refund): Sunday, 28 September 2025

Description

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

MATH103 deals with techniques and ideas in calculus and algebra, and their relationships to geometry. It is designed mainly for students who have passed MATH102, and who need at least 30 points of Mathematics at the 100 level.

Topics: differential equations, sequences and mathematical induction, series and approximation, vectors and geometry, determinants, eigenvalues and eigenvectors, curves and surfaces.

Learning Outcomes

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

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

    Use techniques from the course (including the use of computer-based tools where appropriate) to:
  • solve elementary first or second order differential equations.
  • 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,
  • describe and solve geometric problems using vectors,
  • find the eigenvalues and eigenvectors of small matrices,
  • parameterise and analyse curves in Cartesian and polar coordinates,
  • analyse surfaces by finding their slopes and relative extrema.

    Describe and interpret:
  • the solutions of differential equations in a variety of contexts,
  • infinite sequences and series, their limits and applications,
  • the connection between vectors and the geometry of lines and planes,
  • curves and surfaces and their key properties.

    Identify the appropriate method of solution for differential equations.

    Synthesise appropriate techniques from different sections of the course, for example combining techniques of sequences and differential equations to determine long term behaviour, or combining vector geometry with curves and surfaces.
    • University Graduate Attributes

      This course will provide students with an opportunity to develop the Graduate Attributes specified below:

      Critically competent in a core academic discipline of their award

      Students know and can critically evaluate and, where applicable, apply this knowledge to topics/issues within their majoring subject.

Prerequisites

Restrictions

MATH109, MATH199, EMTH119

Timetable 2025

Students must attend one activity from each section.

Lecture A A
Activity Day Time Location Weeks
01 Monday 10:00 - 11:00 A2 Lecture Theatre
14 Jul - 24 Aug
8 Sep - 19 Oct
Lecture B B
Activity Day Time Location Weeks
01 Wednesday 16:00 - 17:00 C2 Lecture Theatre
14 Jul - 24 Aug
8 Sep - 19 Oct
Lecture C C
Activity Day Time Location Weeks
01 Thursday 13:00 - 14:00 C2 Lecture Theatre
14 Jul - 24 Aug
8 Sep - 19 Oct
Lecture D D
Activity Day Time Location Weeks
01 Friday 12:00 - 13:00 A2 Lecture Theatre
14 Jul - 24 Aug
8 Sep - 19 Oct
Tutorial A A
Activity Day Time Location Weeks
01 Friday 09:00 - 10:00 James Logie 105
21 Jul - 24 Aug
8 Sep - 19 Oct
02 Friday 13:00 - 14:00 James Logie 105
21 Jul - 24 Aug
8 Sep - 19 Oct
03 Friday 16:00 - 17:00 James Logie 104
21 Jul - 24 Aug
8 Sep - 19 Oct
04 Friday 11:00 - 12:00 Elsie Locke 611 Meeting Room
21 Jul - 24 Aug
8 Sep - 19 Oct
05 Friday 10:00 - 11:00 James Logie 105
21 Jul - 24 Aug
8 Sep - 19 Oct
06 Friday 14:00 - 15:00 James Logie 105
21 Jul - 24 Aug
8 Sep - 19 Oct
07 Friday 15:00 - 16:00 James Logie 104
21 Jul - 24 Aug
8 Sep - 19 Oct
08 Friday 17:00 - 18:00 James Logie 104
21 Jul - 24 Aug
8 Sep - 19 Oct
09 Wednesday 11:00 - 12:00 Jack Erskine 241
21 Jul - 24 Aug
8 Sep - 19 Oct

Course Coordinator

Rua Murray

Lecturer

James Bartlett

Indicative Fees

Domestic fee $897.00

International fee $5,188.00

* 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 MATH103 Occurrences

  • MATH103-25S2 (C) Semester Two 2025