MATH102-18S2 (C) Semester Two 2018

Mathematics 1A

15 points, 0.1250 EFTS
16 Jul 2018 - 18 Nov 2018

Description

An introductory course in calculus and linear algebra that is designed primarily for students who have done well in Level 3 NCEA Mathematics, covering single variable calculus and basic ideas in linear algebra. The mathematics in this course has 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. MATH102 can be taken as a standalone course or as the first part of a core mathematics programme.

Topics:
Linear equations and matrices; Functions and Infinity; Differentiation and applications; Integration and applications.

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.
    • 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.

Pre-requisites

1. MATH101, or 2. NCEA 14 Credits at level 3 Mathematics, or 3. Cambridge: D at A level or an A at AS level in Mathematics, or 4. IB: 4 at HL or 6 at SL in Mathematics, or 5. Approval of the Head of School based on alternative prior learning.

Restrictions

MATH108, MATH199, EMTH118

Timetable 2018

Students must attend one activity from each section.

Lecture A
Activity Day Time Location Weeks
01 Wednesday 08:00 - 09:00 C3 Lecture Theatre 16 Jul - 26 Aug
10 Sep - 21 Oct
Lecture B
Activity Day Time Location Weeks
01 Friday 10:00 - 11:00 C2 Lecture Theatre 16 Jul - 26 Aug
10 Sep - 21 Oct
Lecture C
Activity Day Time Location Weeks
01 Monday 15:00 - 16:00 C2 Lecture Theatre 16 Jul - 26 Aug
10 Sep - 21 Oct
Lecture D
Activity Day Time Location Weeks
01 Tuesday 10:00 - 11:00 K1 Lecture Theatre 16 Jul - 26 Aug
10 Sep - 21 Oct
Tutorial A
Activity Day Time Location Weeks
01 Wednesday 10:00 - 11:00 Jack Erskine 035 Lab 2 (18/7)
Jack Erskine 244 (25/7-22/8, 12/9-17/10)
16 Jul - 26 Aug
10 Sep - 21 Oct
02 Wednesday 11:00 - 12:00 Jack Erskine 235 (25/7-22/8, 12/9-17/10)
Jack Erskine 442 (18/7)
16 Jul - 26 Aug
10 Sep - 21 Oct
03 Thursday 08:00 - 09:00 Jack Erskine 035 Lab 2 (19/7)
Jack Erskine 240 (26/7-23/8, 13/9-18/10)
16 Jul - 26 Aug
10 Sep - 21 Oct
04 Thursday 09:00 - 10:00 Jack Erskine 035 Lab 2 (19/7)
Jack Erskine 121 (26/7-23/8, 13/9-18/10)
16 Jul - 26 Aug
10 Sep - 21 Oct
05 Thursday 10:00 - 11:00 Jack Erskine 035 Lab 2 (19/7)
West 533 (26/7-23/8, 13/9-18/10)
16 Jul - 26 Aug
10 Sep - 21 Oct
06 Thursday 12:00 - 13:00 Jack Erskine 035 Lab 2 (19/7)
Jack Erskine 240 (26/7-23/8, 13/9-18/10)
16 Jul - 26 Aug
10 Sep - 21 Oct
07 Thursday 13:00 - 14:00 Jack Erskine 240 (26/7-23/8, 13/9-18/10)
Jack Erskine 442 (19/7)
16 Jul - 26 Aug
10 Sep - 21 Oct
08 Thursday 14:00 - 15:00 Jack Erskine 035 Lab 2 (19/7)
Jack Erskine 240 (26/7-23/8, 13/9-18/10)
16 Jul - 26 Aug
10 Sep - 21 Oct
09 Thursday 15:00 - 16:00 Jack Erskine 035 Lab 2 (19/7)
Jack Erskine 240 (26/7-23/8, 13/9-18/10)
16 Jul - 26 Aug
10 Sep - 21 Oct

Examination and Formal Tests

Test A
Activity Day Time Location Weeks
01 Monday 18:30 - 20:00 K1 Lecture Theatre 20 Aug - 26 Aug

Course Coordinator

Hannes Diener

Lecturers

Phillipa Gourdie and Hannes Diener

Textbooks

Recommended reading:
Stewart, James: Calculus Early Transcendentals. 8th edition. ISBN: 9781305272378

Indicative Fees

Domestic fee $749.00

International fee $3,788.00

* Fees include New Zealand GST and do not include any programme level discount or additional course related expenses.

For further information see Mathematics and Statistics.

All MATH102 Occurrences