MATH102-23S1 (C) Semester One 2023

# Mathematics 1A

15 points

Details:
 Start Date: Monday, 20 February 2023 End Date: Sunday, 25 June 2023
Withdrawal Dates
Last Day to withdraw from this course:
• Without financial penalty (full fee refund): Sunday, 5 March 2023
• Without academic penalty (including no fee refund): Sunday, 14 May 2023

## 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 2023

Students must attend one activity from each section.

Activity Day Time Location Weeks Lecture A 01 Monday 14:00 - 15:00 A1 Lecture Theatre 20 Feb - 2 Apr 24 Apr - 4 Jun 02 Monday 14:00 - 15:00 Online Delivery 20 Feb - 2 Apr 24 Apr - 4 Jun Lecture B 01 Tuesday 17:00 - 18:00 C1 Lecture Theatre 20 Feb - 2 Apr 24 Apr - 4 Jun 02 Tuesday 17:00 - 18:00 Online Delivery 20 Feb - 2 Apr 24 Apr - 4 Jun Lecture C 01 Wednesday 14:00 - 15:00 A1 Lecture Theatre 20 Feb - 2 Apr 24 Apr - 4 Jun 02 Wednesday 14:00 - 15:00 Online Delivery 20 Feb - 2 Apr 24 Apr - 4 Jun Lecture D 01 Friday 15:00 - 16:00 A1 Lecture Theatre 20 Feb - 2 Apr 24 Apr - 4 Jun 02 Friday 15:00 - 16:00 Online Delivery 20 Feb - 2 Apr 24 Apr - 4 Jun Tutorial A 01 Tuesday 14:00 - 15:00 Psychology - Sociology 456 20 Feb - 2 Apr 24 Apr - 4 Jun 02 Tuesday 09:00 - 10:00 Psychology - Sociology 307 20 Feb - 2 Apr 24 Apr - 4 Jun 03 Monday 11:00 - 12:00 Psychology - Sociology 307 20 Feb - 2 Apr 24 Apr - 4 Jun 04 Tuesday 11:00 - 12:00 Rehua 530 20 Feb - 2 Apr 24 Apr - 4 Jun 05 Wednesday 13:00 - 14:00 Psychology - Sociology 307 20 Feb - 2 Apr 24 Apr - 4 Jun 06 Wednesday 10:00 - 11:00 E12 20 Feb - 2 Apr 24 Apr - 4 Jun 07 Tuesday 10:00 - 11:00 Psychology - Sociology 307 20 Feb - 2 Apr 24 Apr - 4 Jun 08 Monday 13:00 - 14:00 Psychology - Sociology 307 20 Feb - 2 Apr 24 Apr - 4 Jun 09 Wednesday 11:00 - 12:00 Meremere 409 20 Feb - 2 Apr 24 Apr - 4 Jun 10 Tuesday 15:00 - 16:00 Jack Erskine 101 20 Feb - 2 Apr 24 Apr - 4 Jun 11 Monday 16:00 - 17:00 E13 20 Feb - 2 Apr 24 Apr - 4 Jun 12 Monday 16:00 - 17:00 Psychology - Sociology 213 20 Feb - 2 Apr 24 Apr - 4 Jun 13 Wednesday 10:00 - 11:00 Psychology - Sociology 411 20 Feb - 2 Apr 24 Apr - 4 Jun 14 Wednesday 09:00 - 10:00 Meremere 409 20 Feb - 2 Apr 24 Apr - 4 Jun 15 Thursday 15:00 - 16:00 Jack Erskine 235 20 Feb - 2 Apr 24 Apr - 4 Jun 16 Friday 14:00 - 15:00 Jack Erskine 340 (24/2)Jack Erskine 244 (3/3-31/3, 28/4-2/6) 20 Feb - 2 Apr 24 Apr - 4 Jun 17 Friday 09:00 - 10:00 Jack Erskine 242 20 Feb - 2 Apr 24 Apr - 4 Jun 18 Friday 10:00 - 11:00 Jack Erskine 242 20 Feb - 2 Apr 24 Apr - 4 Jun

## Examination and Formal Tests

Activity Day Time Location Weeks Test A 01 Friday 18:00 - 19:30 E8 Lecture Theatre 24 Apr - 30 Apr 02 Friday 18:00 - 19:30 K1 Lecture Theatre 24 Apr - 30 Apr 03 Friday 18:00 - 19:30 E7 Lecture Theatre 24 Apr - 30 Apr 04 Friday 18:00 - 19:30 E5 Lecture Theatre 24 Apr - 30 Apr

## 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.

## Indicative Fees

Domestic fee \$824.00

International fee \$4,750.00

* 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 .

## All MATH102 Occurrences

• MATH102-23S1 (D) Semester One 2023 (Distance) - Not Offered
• MATH102-23S1 (C) Semester One 2023
• MATH102-23S2 (D) Semester Two 2023 (Distance) - Not Offered
• MATH102-23S2 (C) Semester Two 2023