MATH102-21S2 (C) Semester Two 2021

# Mathematics 1A

15 points

Details:
 Start Date: Monday, 19 July 2021 End Date: Sunday, 14 November 2021
Withdrawal Dates
Last Day to withdraw from this course:
• Without financial penalty (full fee refund): Sunday, 1 August 2021
• Without academic penalty (including no fee refund): Friday, 1 October 2021

## 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; Numbers, Functions, and Limits; 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.

## 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
5 at SL in Mathematics, or
5. Approval of the Head of School based on alternative prior learning.

## Restrictions

MATH108, MATH199, EMTH118

## Timetable 2021

Students must attend one activity from each section.

Activity Day Time Location Weeks Lecture A 01 Tuesday 11:00 - 12:00 A1 Lecture Theatre 19 Jul - 29 Aug 13 Sep - 24 Oct Lecture B 01 Wednesday 14:00 - 15:00 A2 Lecture Theatre 19 Jul - 29 Aug 13 Sep - 24 Oct Lecture C 01 Thursday 11:00 - 12:00 A2 Lecture Theatre 19 Jul - 29 Aug 13 Sep - 24 Oct Lecture D 01 Friday 10:00 - 11:00 C2 Lecture Theatre 19 Jul - 29 Aug 13 Sep - 24 Oct Tutorial A 01 Wednesday 15:00 - 16:00 Meremere 409 19 Jul - 29 Aug 13 Sep - 24 Oct 02 Tuesday 14:00 - 15:00 Meremere 409 19 Jul - 29 Aug 13 Sep - 24 Oct 03 Wednesday 13:00 - 14:00 Psychology - Sociology 307 19 Jul - 29 Aug 13 Sep - 24 Oct 04 Thursday 12:00 - 13:00 E13 19 Jul - 29 Aug 13 Sep - 24 Oct 05 Wednesday 11:00 - 12:00 Psychology - Sociology 307 19 Jul - 29 Aug 13 Sep - 24 Oct 06 Tuesday 12:00 - 13:00 Psychology - Sociology 307 19 Jul - 29 Aug 13 Sep - 24 Oct 07 Friday 12:00 - 13:00 James Logie 105 19 Jul - 29 Aug 13 Sep - 24 Oct 08 Friday 13:00 - 14:00 James Logie 105 19 Jul - 29 Aug 13 Sep - 24 Oct 09 Tuesday 09:00 - 10:00 Jack Erskine 242 19 Jul - 29 Aug 13 Sep - 24 Oct 10 Wednesday 09:00 - 10:00 Jack Erskine 441 19 Jul - 29 Aug 13 Sep - 24 Oct 11 Thursday 10:00 - 11:00 Jack Erskine 241 19 Jul - 29 Aug 13 Sep - 24 Oct 12 Friday 09:00 - 10:00 Jack Erskine 445 19 Jul - 29 Aug 13 Sep - 24 Oct

## Examination and Formal Tests

Activity Day Time Location Weeks Test A 01 Friday 18:30 - 20:00 C1 Lecture Theatre 23 Aug - 29 Aug

## Assessment

Assessment Due Date Percentage
Tutorial homework and participation 10%
Online quizzes 10%
Mid-Semester Test 30%
Final Examination 50%

## Textbooks / Resources

Stewart, James; Calculus : early transcendentals; Eighth edition; Cengage Learning, 2016.