MATH102-22S1 (C) Semester One 2022

# Mathematics 1A

15 points

Details:
 Start Date: Monday, 21 February 2022 End Date: Sunday, 26 June 2022
Withdrawal Dates
Last Day to withdraw from this course:
• Without financial penalty (full fee refund): Sunday, 6 March 2022
• Without academic penalty (including no fee refund): Sunday, 15 May 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; 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.

## 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 2022

Students must attend one activity from each section.

Activity Day Time Location Weeks Lecture A 01 Monday 15:00 - 16:00 K1 Lecture Theatre 21 Feb - 10 Apr 2 May - 5 Jun Lecture B 01 Wednesday 15:00 - 16:00 A1 Lecture Theatre 21 Feb - 10 Apr 2 May - 5 Jun Lecture C 01 Thursday 15:00 - 16:00 A1 Lecture Theatre 21 Feb - 10 Apr 2 May - 5 Jun Lecture D 01 Friday 15:00 - 16:00 A1 Lecture Theatre 21 Feb - 10 Apr 2 May - 5 Jun Tutorial A 01 Monday 13:00 - 14:00 Jack Erskine 235 21 Feb - 10 Apr 2 May - 5 Jun 02 Monday 14:00 - 15:00 E13 21 Feb - 10 Apr 2 May - 5 Jun 03 Monday 16:00 - 17:00 Jack Erskine 242 21 Feb - 10 Apr 2 May - 5 Jun 04 Tuesday 08:00 - 09:00 Ernest Rutherford 460 21 Feb - 10 Apr 2 May - 5 Jun 05 Tuesday 09:00 - 10:00 Jack Erskine 235 21 Feb - 10 Apr 2 May - 5 Jun 06 Tuesday 09:00 - 10:00 Jack Erskine 241 21 Feb - 10 Apr 2 May - 5 Jun 07 Tuesday 11:00 - 12:00 Jack Erskine 241 21 Feb - 10 Apr 2 May - 5 Jun 08 Tuesday 13:00 - 14:00 Jack Erskine 235 21 Feb - 10 Apr 2 May - 5 Jun 09 Tuesday 13:00 - 14:00 Jack Erskine 241 21 Feb - 10 Apr 2 May - 5 Jun 10 Tuesday 14:00 - 15:00 Jack Erskine 241 21 Feb - 10 Apr 2 May - 5 Jun 11 Tuesday 14:00 - 15:00 Jack Erskine 235 21 Feb - 10 Apr 2 May - 5 Jun 12 Tuesday 15:00 - 16:00 Jack Erskine 235 21 Feb - 10 Apr 2 May - 5 Jun 13 Tuesday 15:00 - 16:00 Jack Erskine 446 21 Feb - 10 Apr 2 May - 5 Jun

## Assessment

Assessment Due Date Percentage
Tutorial homework and participation 10%
Online quizzes 10%
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.