MATH101-18S2 (C) Semester Two 2018

Methods of Mathematics

 15 points, 0.1250 EFTS16 Jul 2018 - 18 Nov 2018

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

This course will provide students with an opportunity to develop the Graduate Attributes specified below:

 Critically competent in a core academic discipline of their award Students know and can critically evaluate and, where applicable, apply this knowledge to topics/issues within their majoring subject.

Timetable 2018

Students must attend one activity from each section.

Activity Day Time Location Weeks Lecture A 01 Monday 08:00 - 09:00 A2 Lecture Theatre 16 Jul - 5 Aug 13 Aug - 26 Aug 10 Sep - 21 Oct Lecture B 01 Thursday 08:00 - 09:00 A2 Lecture Theatre 16 Jul - 26 Aug 10 Sep - 7 Oct 15 Oct - 21 Oct Lecture C 01 Tuesday 11:00 - 12:00 E8 Lecture Theatre 16 Jul - 26 Aug 10 Sep - 21 Oct Lecture D 01 Wednesday 12:00 - 13:00 A2 Lecture Theatre 16 Jul - 26 Aug 10 Sep - 21 Oct Tutorial A 01 Thursday 09:00 - 10:00 Jack Erskine 038 Lab 4 16 Jul - 26 Aug 10 Sep - 21 Oct 02 Thursday 09:00 - 10:00 Jack Erskine 033 Lab 1 16 Jul - 26 Aug 10 Sep - 21 Oct 03 Thursday 13:00 - 14:00 Jack Erskine 436 Computer Lab 16 Jul - 26 Aug 10 Sep - 21 Oct 04 Thursday 14:00 - 15:00 Jack Erskine 436 Computer Lab 16 Jul - 26 Aug 10 Sep - 21 Oct 05 Thursday 15:00 - 16:00 Jack Erskine 436 Computer Lab 16 Jul - 26 Aug 10 Sep - 21 Oct 06 Thursday 16:00 - 17:00 Jack Erskine 442 16 Jul - 26 Aug 10 Sep - 21 Oct 07 Friday 08:00 - 09:00 Jack Erskine 038 Lab 4 16 Jul - 26 Aug 10 Sep - 21 Oct 08 Friday 09:00 - 10:00 Jack Erskine 038 Lab 4 16 Jul - 26 Aug 10 Sep - 21 Oct 09 Friday 10:00 - 11:00 Jack Erskine 033 Lab 1 16 Jul - 26 Aug 10 Sep - 21 Oct 10 Friday 10:00 - 11:00 Jack Erskine 436 Computer Lab 16 Jul - 26 Aug 10 Sep - 21 Oct 11 Friday 11:00 - 12:00 Jack Erskine 436 Computer Lab 16 Jul - 26 Aug 10 Sep - 21 Oct 12 Friday 12:00 - 13:00 Jack Erskine 436 Computer Lab 16 Jul - 26 Aug 10 Sep - 21 Oct 13 Friday 13:00 - 14:00 Jack Erskine 436 Computer Lab 16 Jul - 26 Aug 10 Sep - 21 Oct

Examination and Formal Tests

Activity Day Time Location Weeks Test A 01 Monday 18:30 - 19:30 A1 Lecture Theatre (6/8)A2 Lecture Theatre (6/8) 6 Aug - 12 Aug Test B 01 Monday 18:30 - 20:00 C1 Lecture Theatre 24 Sep - 30 Sep Test C 01 Thursday 08:00 - 09:00 A2 Lecture Theatre 8 Oct - 14 Oct

Textbooks

•Haeussler, Paul, and Wood, Introductory Mathematical Analysis, Pearson 2013.
•Barton & Cox, Essential Maths and Stats for Higher Education, Pearson 2013.
•Croft & Davison, Foundation Maths, Prentice-Hall, any edition.
•NCEA Level 2 and 3 textbooks are also a useful reference.