MATH102-22S2 (C) Semester Two 2022

# Mathematics 1A

15 points

Details:
 Start Date: Monday, 18 July 2022 End Date: Sunday, 13 November 2022
Withdrawal Dates
Last Day to withdraw from this course:
• Without financial penalty (full fee refund): Sunday, 31 July 2022
• Without academic penalty (including no fee refund): Sunday, 2 October 2022

## 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.

## Prerequisites

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 2022

Students must attend one activity from each section.

Activity Day Time Location Weeks Lecture A 01 Monday 13:00 - 14:00 A2 Lecture Theatre 18 Jul - 28 Aug 12 Sep - 23 Oct Lecture B 01 Wednesday 13:00 - 14:00 A2 Lecture Theatre 18 Jul - 28 Aug 12 Sep - 23 Oct Lecture C 01 Thursday 13:00 - 14:00 A2 Lecture Theatre 18 Jul - 28 Aug 12 Sep - 23 Oct Lecture D 01 Friday 13:00 - 14:00 A2 Lecture Theatre 18 Jul - 28 Aug 12 Sep - 23 Oct Tutorial A 01 Monday 14:00 - 15:00 Jack Erskine 235 18 Jul - 28 Aug 12 Sep - 23 Oct 02 Monday 16:00 - 17:00 Jack Erskine 441 18 Jul - 28 Aug 12 Sep - 23 Oct 03 Tuesday 10:00 - 11:00 Jack Erskine 241 18 Jul - 28 Aug 12 Sep - 23 Oct 04 Tuesday 11:00 - 12:00 Jack Erskine 239 18 Jul - 28 Aug 12 Sep - 23 Oct 05 Tuesday 16:00 - 17:00 Jack Erskine 441 18 Jul - 28 Aug 12 Sep - 23 Oct 06 Tuesday 14:00 - 15:00 Jack Erskine 340 18 Jul - 28 Aug 12 Sep - 23 Oct 07 Wednesday 11:00 - 12:00 Jack Erskine 446 18 Jul - 28 Aug 12 Sep - 23 Oct 08 Thursday 10:00 - 11:00 Jack Erskine 235 18 Jul - 28 Aug 12 Sep - 23 Oct 09 Thursday 15:00 - 16:00 Jack Erskine 235 18 Jul - 28 Aug 12 Sep - 23 Oct 10 Wednesday 15:00 - 16:00 Jack Erskine 441 18 Jul - 28 Aug 12 Sep - 23 Oct

## 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.

## Indicative Fees

Domestic fee \$802.00

International fee \$4,563.00

* 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 .