MATH101-22W (C) Whole Year 2022

# Methods of Mathematics

15 points

Details:
 Start Date: Monday, 21 February 2022 End Date: Sunday, 13 November 2022
Withdrawal Dates
Last Day to withdraw from this course:
• Without financial penalty (full fee refund): Sunday, 20 March 2022
• Without academic penalty (including no fee refund): Sunday, 28 August 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.

The whole-year occurrence of MATH101 is recommended for students who need more time to cover foundational mathematics skills. This course will cover the same content as the semester-long occurrence, but we will allow more time and support to practice foundational skills such as algebra, fractions and order of operations. Contact the course coordinator if you are not sure which course you should take. MATH101-21W is not available for distance study.

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 Tuesday 14:00 - 15:00 Meremere 105 Lecture Theatre 21 Feb - 10 Apr 2 May - 5 Jun 18 Jul - 28 Aug 12 Sep - 23 Oct 02 Tuesday 14:00 - 15:00 Live Stream Available 21 Feb - 10 Apr 2 May - 5 Jun 18 Jul - 28 Aug 12 Sep - 23 Oct Lecture B 01 Wednesday 11:00 - 12:00 James Logie 104 21 Feb - 10 Apr 2 May - 5 Jun 18 Jul - 28 Aug 12 Sep - 23 Oct 02 Wednesday 11:00 - 12:00 Live Stream Available 21 Feb - 10 Apr 2 May - 5 Jun 18 Jul - 28 Aug 12 Sep - 23 Oct Computer Lab A 01-P1 Thursday 13:00 - 15:00 Eng Core 216 CAD Lab 21 Feb - 10 Apr 2 May - 5 Jun 01-P2 Thursday 10:00 - 12:00 Eng Core 216 CAD Lab 18 Jul - 24 Jul 1 Aug - 28 Aug 12 Sep - 23 Oct Tutorial A 01 Thursday 15:00 - 17:00 Beatrice Tinsley 112 21 Feb - 10 Apr 2 May - 5 Jun 18 Jul - 28 Aug 12 Sep - 23 Oct Workshop A 01 Monday 08:00 - 09:00 Jack Erskine 239 21 Feb - 10 Apr 2 May - 5 Jun 18 Jul - 28 Aug 12 Sep - 23 Oct 02 Monday 14:00 - 15:00 Psychology - Sociology 251 21 Feb - 10 Apr 2 May - 5 Jun 18 Jul - 28 Aug 12 Sep - 23 Oct 03 Tuesday 13:00 - 14:00 Jane Soons 602 21 Feb - 10 Apr 2 May - 5 Jun 18 Jul - 28 Aug 12 Sep - 23 Oct 04 Friday 16:00 - 17:00 Psychology - Sociology 413 21 Feb - 10 Apr 2 May - 5 Jun 18 Jul - 28 Aug 12 Sep - 23 Oct 05 Monday 13:00 - 14:00 Online Delivery 21 Feb - 10 Apr 2 May - 5 Jun 18 Jul - 28 Aug 12 Sep - 23 Oct 06 Monday 14:00 - 15:00 Online Delivery 21 Feb - 10 Apr 2 May - 5 Jun 18 Jul - 28 Aug 12 Sep - 23 Oct 07 Monday 16:00 - 17:00 Online Delivery 21 Feb - 10 Apr 2 May - 5 Jun 18 Jul - 28 Aug 12 Sep - 23 Oct 08 Tuesday 11:00 - 12:00 Online Delivery 21 Feb - 10 Apr 2 May - 5 Jun 18 Jul - 28 Aug 12 Sep - 23 Oct 09 Tuesday 12:00 - 13:00 Online Delivery 21 Feb - 10 Apr 2 May - 5 Jun 18 Jul - 28 Aug 12 Sep - 23 Oct 10 Friday 11:00 - 12:00 Online Delivery 21 Feb - 10 Apr 2 May - 5 Jun 18 Jul - 28 Aug 12 Sep - 23 Oct 11 Friday 12:00 - 13:00 Online Delivery 21 Feb - 10 Apr 2 May - 5 Jun 18 Jul - 28 Aug 12 Sep - 23 Oct 12 Friday 13:00 - 14:00 Online Delivery 21 Feb - 10 Apr 2 May - 5 Jun 18 Jul - 28 Aug 12 Sep - 23 Oct

## Timetable Note

Note: The timetable is currently being updated, but contact hours will consist of 2 Lectures, a 2-hour lab/tutorial and a 1-hour workshop per week.

## 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 (any edition).

Haeussler, Paul, and Wood, Introductory Mathematical Analysis, Pearson 2013.
NCEA Level 2 and 3 textbooks are also a useful reference.