MATH101-21S2 (C) Semester Two 2021

# Methods of Mathematics

15 points

Details:
 Start Date: Monday, 19 July 2021 End Date: Sunday, 14 November 2021
Withdrawal Dates
Last Day to withdraw from this course:
• Without financial penalty (full fee refund): Sunday, 1 August 2021
• Without academic penalty (including no fee refund): Friday, 1 October 2021

## 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.

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 2021

Students must attend one activity from each section.

Activity Day Time Location Weeks Lecture A 01 Monday 15:00 - 16:00 C2 Lecture Theatre 19 Jul - 29 Aug 13 Sep - 24 Oct Lecture B 01 Tuesday 13:00 - 14:00 K1 Lecture Theatre 19 Jul - 29 Aug 13 Sep - 24 Oct Lecture C 01 Wednesday 16:00 - 17:00 A2 Lecture Theatre 19 Jul - 29 Aug 13 Sep - 24 Oct Lecture D 01 Thursday 12:00 - 13:00 A2 Lecture Theatre 19 Jul - 29 Aug 13 Sep - 24 Oct Computer Lab A 01 Wednesday 08:00 - 10:00 Jack Erskine 038 Lab 4 19 Jul - 29 Aug 13 Sep - 24 Oct 02 Wednesday 10:00 - 12:00 Jack Erskine 038 Lab 4 19 Jul - 29 Aug 13 Sep - 24 Oct 03 Wednesday 13:00 - 15:00 Jack Erskine 033 Lab 1 19 Jul - 29 Aug 13 Sep - 24 Oct 04 Thursday 08:00 - 10:00 Jack Erskine 038 Lab 4 19 Jul - 29 Aug 13 Sep - 24 Oct 05 Thursday 10:00 - 12:00 Jack Erskine 038 Lab 4 19 Jul - 29 Aug 13 Sep - 24 Oct 06 Thursday 13:00 - 15:00 Jack Erskine 038 Lab 4 19 Jul - 29 Aug 13 Sep - 24 Oct 07 Friday 08:00 - 10:00 Jack Erskine 038 Lab 4 19 Jul - 29 Aug 13 Sep - 24 Oct 08 Friday 10:00 - 12:00 Jack Erskine 038 Lab 4 19 Jul - 29 Aug 13 Sep - 24 Oct 09 Friday 12:00 - 14:00 Jack Erskine 038 Lab 4 19 Jul - 29 Aug 13 Sep - 24 Oct 10 Friday 14:00 - 16:00 Jack Erskine 038 Lab 4 19 Jul - 29 Aug 13 Sep - 24 Oct Tutorial A 01 Thursday 16:00 - 17:00 Jack Erskine 241 19 Jul - 29 Aug 13 Sep - 24 Oct 02 Thursday 13:00 - 14:00 Jack Erskine 241 19 Jul - 29 Aug 13 Sep - 24 Oct 03 Friday 13:00 - 14:00 Jack Erskine 241 19 Jul - 29 Aug 13 Sep - 24 Oct 04 Friday 09:00 - 10:00 Jack Erskine 239 19 Jul - 29 Aug 13 Sep - 24 Oct 05 Friday 14:00 - 15:00 Jack Erskine 240 19 Jul - 29 Aug 13 Sep - 24 Oct 06 Friday 11:00 - 12:00 Jack Erskine 241 19 Jul - 29 Aug 13 Sep - 24 Oct 07 Friday 16:00 - 17:00 Jack Erskine 240 19 Jul - 29 Aug 13 Sep - 24 Oct 08 Thursday 17:00 - 18:00 Jack Erskine 441 19 Jul - 29 Aug 13 Sep - 24 Oct 09 Friday 10:00 - 11:00 Ernest Rutherford 260 19 Jul - 29 Aug 13 Sep - 24 Oct 10 Thursday 15:00 - 16:00 Jack Erskine 235 19 Jul - 29 Aug 13 Sep - 24 Oct

## Examination and Formal Tests

Activity Day Time Location Weeks Test A 01 Monday 19:00 - 20:30 Online Delivery 20 Sep - 26 Sep

## Assessment

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.

## Textbooks / Resources

Barton & Cox; Essential Maths and Stats for Higher Education; Pearson, 2013.

Croft & Davison; Foundation Maths; Any edition; Prentice-Hall.

Haeussler, Paul, and Wood; Introductory Mathematical Analysis; Pearson, 2013.

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