MATH102-18S2 (C) Semester Two 2018

# Mathematics 1A

 15 points, 0.1250 EFTS16 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.

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.

Activity Day Time Location Weeks Lecture A 01 Wednesday 08:00 - 09:00 C3 Lecture Theatre 16 Jul - 26 Aug 10 Sep - 21 Oct Lecture B 01 Friday 10:00 - 11:00 C2 Lecture Theatre 16 Jul - 26 Aug 10 Sep - 21 Oct Lecture C 01 Monday 15:00 - 16:00 C2 Lecture Theatre 16 Jul - 26 Aug 10 Sep - 21 Oct Lecture D 01 Tuesday 10:00 - 11:00 K1 Lecture Theatre 16 Jul - 26 Aug 10 Sep - 21 Oct Tutorial A 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

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

## Textbooks

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