MATH101-22S1 (C) Semester One 2022

# Methods of Mathematics

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

Introduction to calculus, trigonometry and algebra. Emphasis on setting up mathematical models of problems, solving them and interpreting the solutions. Applications to the physical, life and earth sciences as well as to commerce and the humanities.

This occurrence of the course is for approved online students only. On-campus students should enrol in the (C) occurrence of this course

MATH101 covers the basic ideas of functions and their graphs, trigonometry, limits, and calculus. We introduce the concept of a mathematical model and discuss setting up mathematical models to solve problems. Examples are drawn from the physical, life and earth sciences as well as commerce and the humanities. Skills are practised in lectures, weekly tutorial sessions, and using online learning software.

Emphasis is placed on understanding through examples, and you will use the methods taught to study a variety of practical problems. In the process your algebra and calculus skills will improve, and you will gain insight into the usefulness of these techniques. The course aims to build your confidence and foster your enjoyment of mathematics.

MATH101 is for students who need some knowledge of mathematics to support other studies such as the earth and life sciences, and for students who wish to prepare for EMTH118 or MATH102. The recommended background for this course is NCEA Level 2 Mathematics or equivalent.

## Learning Outcomes

• A student who successfully completes this course will:

• understand the rules of exponents
• be able to use basic algebra to simplify expressions and rearrange equations
• be able to solve both linear and non-linear equations
• understand the concept of a function, and recognise and use function notation and operations
• be able to identify, graph and interpret polynomial, exponential, logarithmic and trigonometric relationships in both mathematical and real world contexts using appropriate applications
• be able to find the derivative and integral of polynomial, exponential, logarithmic, and trigonometric functions, including the use of product, quotient and chain rules
• understand the relationship between the processes of integration and differentiation
• be able to identify when a derivative is an appropriate mathematical model, and use it to solve optimisation problems
• be able to identify when an integral is an appropriate mathematical model, and to use it to solve appropriate real world problems
• have the ability to express mathematics in written form to communicate mathematical ideas and solutions to problems

## Timetable 2022

Students must attend one activity from each section.

Activity Day Time Location Weeks Lecture A 01 Monday 15:00 - 16:00 C1 Lecture Theatre 21 Feb - 10 Apr 2 May - 5 Jun 02 Monday 15:00 - 16:00 Live Stream Available 21 Feb - 10 Apr 2 May - 5 Jun Lecture B 01 Tuesday 15:00 - 16:00 C1 Lecture Theatre 21 Feb - 10 Apr 2 May - 5 Jun 02 Tuesday 15:00 - 16:00 Live Stream Available 21 Feb - 10 Apr 2 May - 5 Jun Lecture C 01 Wednesday 15:00 - 16:00 C1 Lecture Theatre 21 Feb - 10 Apr 2 May - 5 Jun 02 Wednesday 15:00 - 16:00 Live Stream Available 21 Feb - 10 Apr 2 May - 5 Jun Lecture D 01 Thursday 15:00 - 16:00 C1 Lecture Theatre 21 Feb - 10 Apr 2 May - 5 Jun 02 Thursday 15:00 - 16:00 Live Stream Available 21 Feb - 10 Apr 2 May - 5 Jun Computer Lab A 01 Thursday 08:00 - 10:00 Jack Erskine 038 Lab 4 21 Feb - 10 Apr 2 May - 5 Jun 02 Thursday 08:00 - 10:00 Jack Erskine 033 Lab 1 21 Feb - 10 Apr 2 May - 5 Jun 03 Thursday 10:00 - 12:00 Jack Erskine 033 Lab 1 21 Feb - 10 Apr 2 May - 5 Jun 04 Thursday 10:00 - 12:00 Jack Erskine 038 Lab 4 21 Feb - 10 Apr 2 May - 5 Jun 05 Thursday 12:00 - 14:00 Jack Erskine 038 Lab 4 21 Feb - 10 Apr 2 May - 5 Jun 06 Thursday 12:00 - 14:00 Jack Erskine 033 Lab 1 21 Feb - 10 Apr 2 May - 5 Jun 07 Wednesday 13:00 - 15:00 Jack Erskine 038 Lab 4 21 Feb - 10 Apr 2 May - 5 Jun 08 Wednesday 13:00 - 15:00 Jack Erskine 033 Lab 1 21 Feb - 10 Apr 2 May - 5 Jun 09 Thursday 16:00 - 18:00 Jack Erskine 033 Lab 1 21 Feb - 10 Apr 2 May - 5 Jun 10 Thursday 16:00 - 18:00 Jack Erskine 038 Lab 4 21 Feb - 10 Apr 2 May - 5 Jun 11 Friday 08:00 - 10:00 Jack Erskine 038 Lab 4 21 Feb - 10 Apr 2 May - 5 Jun 12 Wednesday 15:00 - 17:00 Jack Erskine 033 Lab 1 21 Feb - 10 Apr 2 May - 5 Jun 13 Friday 10:00 - 12:00 Jack Erskine 033 Lab 1 21 Feb - 10 Apr 2 May - 5 Jun 14 Friday 10:00 - 12:00 Jack Erskine 038 Lab 4 21 Feb - 10 Apr 2 May - 5 Jun 15 Friday 12:00 - 14:00 Jack Erskine 033 Lab 1 21 Feb - 10 Apr 2 May - 5 Jun 16 Friday 12:00 - 14:00 Jack Erskine 038 Lab 4 21 Feb - 10 Apr 2 May - 5 Jun 17 Friday 14:00 - 16:00 Jack Erskine 033 Lab 1 21 Feb - 10 Apr 2 May - 5 Jun 18 Friday 14:00 - 16:00 Jack Erskine 038 Lab 4 21 Feb - 10 Apr 2 May - 5 Jun 19 Friday 16:00 - 18:00 Jack Erskine 033 Lab 1 21 Feb - 10 Apr 2 May - 5 Jun 20 Friday 16:00 - 18:00 Jack Erskine 038 Lab 4 21 Feb - 10 Apr 2 May - 5 Jun Workshop A 01 Monday 10:00 - 11:00 Jack Erskine 241 28 Feb - 10 Apr 2 May - 5 Jun 02 Monday 13:00 - 14:00 Eng Core 128 Tutorial Room 28 Feb - 10 Apr 2 May - 5 Jun 03 Monday 13:00 - 14:00 Eng Core 129 Tutorial Room 28 Feb - 10 Apr 2 May - 5 Jun 04 Monday 14:00 - 15:00 Eng Core 128 Tutorial Room 28 Feb - 10 Apr 2 May - 5 Jun 05 Monday 14:00 - 15:00 Eng Core 129 Tutorial Room 28 Feb - 10 Apr 2 May - 5 Jun 06 Monday 16:00 - 17:00 Jack Erskine 235 28 Feb - 10 Apr 2 May - 5 Jun 07 Monday 16:00 - 17:00 E13 28 Feb - 10 Apr 2 May - 5 Jun 08 Tuesday 09:00 - 10:00 E13 28 Feb - 10 Apr 2 May - 5 Jun 09 Tuesday 09:00 - 10:00 Jack Erskine 239 28 Feb - 10 Apr 2 May - 5 Jun 10 Tuesday 11:00 - 12:00 E13 28 Feb - 10 Apr 2 May - 5 Jun 11 Tuesday 11:00 - 12:00 Jack Erskine 239 28 Feb - 10 Apr 2 May - 5 Jun 12 Tuesday 12:00 - 13:00 Jack Erskine 241 28 Feb - 10 Apr 2 May - 5 Jun 13 Tuesday 12:00 - 13:00 Jack Erskine 239 28 Feb - 10 Apr 2 May - 5 Jun 14 Tuesday 13:00 - 14:00 Jack Erskine 239 28 Feb - 10 Apr 2 May - 5 Jun 15 Wednesday 09:00 - 10:00 Eng Core 128 Tutorial Room 28 Feb - 10 Apr 2 May - 5 Jun 16 Wednesday 09:00 - 10:00 Eng Core 129 Tutorial Room 28 Feb - 10 Apr 2 May - 5 Jun 17 Thursday 09:00 - 10:00 Eng Core 129 Tutorial Room 28 Feb - 10 Apr 2 May - 5 Jun 18 Friday 09:00 - 10:00 Eng Core 129 Tutorial Room 28 Feb - 10 Apr 2 May - 5 Jun 19 Friday 10:00 - 11:00 Eng Core 129 Tutorial Room 28 Feb - 10 Apr 2 May - 5 Jun 20 Friday 11:00 - 12:00 Jack Erskine 235 28 Feb - 10 Apr 2 May - 5 Jun 21 Friday 12:00 - 13:00 E13 28 Feb - 10 Apr 2 May - 5 Jun 22 Friday 12:00 - 13:00 Karl Popper 413 28 Feb - 10 Apr 2 May - 5 Jun 23 Friday 13:00 - 14:00 Eng Core 129 Tutorial Room 28 Feb - 10 Apr 2 May - 5 Jun 24 Friday 14:00 - 15:00 Jack Erskine 121 28 Feb - 10 Apr 2 May - 5 Jun 25 Monday 13:00 - 14:00 Online Delivery 28 Feb - 10 Apr 2 May - 5 Jun 26 Monday 14:00 - 15:00 Online Delivery 28 Feb - 10 Apr 2 May - 5 Jun 27 Monday 16:00 - 17:00 Online Delivery 28 Feb - 10 Apr 2 May - 5 Jun 28 Tuesday 11:00 - 12:00 Online Delivery 28 Feb - 10 Apr 2 May - 5 Jun 29 Tuesday 12:00 - 13:00 Online Delivery 28 Feb - 10 Apr 2 May - 5 Jun 30 Friday 11:00 - 12:00 Online Delivery 28 Feb - 10 Apr 2 May - 5 Jun 31 Friday 12:00 - 13:00 Online Delivery 28 Feb - 10 Apr 2 May - 5 Jun 32 Friday 13:00 - 14:00 Online Delivery 28 Feb - 10 Apr 2 May - 5 Jun

## Examination and Formal Tests

Activity Day Time Location Test A 01 Monday 19:00 - 20:30 4 Apr - 10 Apr

## Assessment

Core Skills Modules 5%
Weekly labs 30%
Workshops 10%
Test 15%
Final Exam 40%

Note: To pass the course you must:
• obtain at least 50% overall; and
• obtain at least 40% on the final exam; and
• pass all five core skills modules (prerequisite content).

## Textbooks / Resources

Barton, David , Cox, David; Essential maths and stats : for higher education ; Pearson, 2013.

Croft, Tony , Davison, Robert; Foundation maths ; 5th ed; Pearson/Education, 2010.

Haeussler, Ernest F. , Paul, Richard S., Wood, R. J; Introductory mathematical analysis for business, economics, and the life and social sciences ; 13th ed; Pearson, 2014.

NCEA Level 2 and 3 textbooks are also a useful reference.