MATH102-24S1 (C) Semester One 2024

# Mathematics 1A

15 points

Details:
 Start Date: Monday, 19 February 2024 End Date: Sunday, 23 June 2024
Withdrawal Dates
Last Day to withdraw from this course:
• Without financial penalty (full fee refund): Sunday, 3 March 2024
• Without academic penalty (including no fee refund): Sunday, 12 May 2024

## 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.

## 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 2024

Students must attend one activity from each section.

Activity Day Time Location Weeks Lecture A 01 Tuesday 09:00 - 10:00 C3 Lecture Theatre 19 Feb - 31 Mar 22 Apr - 2 Jun 02 Tuesday 09:00 - 10:00 Live Stream Available 19 Feb - 31 Mar 22 Apr - 2 Jun Lecture B 01 Wednesday 13:00 - 14:00 C3 Lecture Theatre 19 Feb - 31 Mar 22 Apr - 2 Jun 02 Wednesday 13:00 - 14:00 Live Stream Available 19 Feb - 31 Mar 22 Apr - 2 Jun Lecture C 01 Thursday 11:00 - 12:00 C2 Lecture Theatre 19 Feb - 31 Mar 22 Apr - 2 Jun 02 Thursday 11:00 - 12:00 Live Stream Available 19 Feb - 31 Mar 22 Apr - 2 Jun Lecture D 01 Friday 16:00 - 17:00 C2 Lecture Theatre 19 Feb - 31 Mar 22 Apr - 2 Jun 02 Friday 16:00 - 17:00 Online Delivery 19 Feb - 24 Mar 22 Apr - 2 Jun Drop in Class A 01 Monday 14:00 - 16:00 Jack Erskine 242 19 Feb - 31 Mar 22 Apr - 2 Jun Tutorial A 01 Monday 09:00 - 10:00 Psychology - Sociology 251 19 Feb - 31 Mar 22 Apr - 2 Jun 02 Monday 16:00 - 17:00 E13 19 Feb - 31 Mar 22 Apr - 2 Jun 03 Wednesday 12:00 - 13:00 E13 19 Feb - 31 Mar 22 Apr - 2 Jun 04 Wednesday 09:00 - 10:00 Psychology - Sociology 413 19 Feb - 31 Mar 22 Apr - 2 Jun 05 Tuesday 17:00 - 18:00 Jack Erskine 239 19 Feb - 31 Mar 22 Apr - 2 Jun 06 Tuesday 16:00 - 17:00 E13 19 Feb - 31 Mar 22 Apr - 2 Jun 07 Monday 08:00 - 09:00 Rata 129 Tutorial Room 19 Feb - 31 Mar 22 Apr - 2 Jun 08 Tuesday 15:00 - 16:00 Psychology - Sociology 307 19 Feb - 31 Mar 22 Apr - 2 Jun 09 Tuesday 08:00 - 09:00 Rata 129 Tutorial Room 19 Feb - 31 Mar 22 Apr - 2 Jun 10 Monday 11:00 - 12:00 Psychology - Sociology 413 19 Feb - 31 Mar 22 Apr - 2 Jun 11 Tuesday 14:00 - 15:00 Psychology - Sociology 307 19 Feb - 31 Mar 22 Apr - 2 Jun 12 Tuesday 11:00 - 12:00 Psychology - Sociology 251 19 Feb - 31 Mar 22 Apr - 2 Jun 13 Monday 13:00 - 14:00 Psychology - Sociology 213 19 Feb - 31 Mar 22 Apr - 2 Jun 14 Tuesday 12:00 - 13:00 Psychology - Sociology 251 19 Feb - 31 Mar 22 Apr - 2 Jun 15 Monday 14:00 - 15:00 Rata 128 Tutorial Room 19 Feb - 31 Mar 22 Apr - 2 Jun 16 Wednesday 11:00 - 12:00 Psychology - Sociology 307 19 Feb - 31 Mar 22 Apr - 2 Jun 17 Wednesday 08:00 - 09:00 Rata 129 Tutorial Room 19 Feb - 31 Mar 22 Apr - 2 Jun 18 Monday 17:00 - 18:00 Rata 129 Tutorial Room 19 Feb - 31 Mar 22 Apr - 2 Jun

## Examination and Formal Tests

Activity Day Time Location Weeks Test A 01 Wednesday 19:00 - 20:30 C1 Lecture Theatre 29 Apr - 5 May 02 Wednesday 19:00 - 20:30 K1 Lecture Theatre 29 Apr - 5 May

## Assessment

Assessment Due Date Percentage
Online quizzes 20%
Mid-Semester Test 30%
Final Examination 50%

To obtain a clear pass in this course, you must both pass the course as a whole (≥ 50%) and also obtain at least 40% in the final examination.

## Textbooks / Resources

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