MATH101-23W (C) Whole Year 2023

# Methods of Mathematics

15 points

Details:
 Start Date: Monday, 20 February 2023 End Date: Sunday, 12 November 2023
Withdrawal Dates
Last Day to withdraw from this course:
• Without financial penalty (full fee refund): Sunday, 19 March 2023
• Without academic penalty (including no fee refund): Sunday, 27 August 2023

## 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 2023

Students must attend one activity from each section.

Activity Day Time Location Weeks Lecture A 01 Tuesday 13:00 - 14:00 Psychology - Sociology 210 (21/2-28/3, 25/4-30/5) E14 Lecture Theatre (18/7-22/8, 12/9-17/10) 20 Feb - 2 Apr 24 Apr - 4 Jun 17 Jul - 27 Aug 11 Sep - 22 Oct Lecture B 01 Monday 11:00 - 12:00 Rehua 102 (20/2-27/3, 24/4-29/5) Psychology - Sociology 210 (17/7-21/8, 11/9-16/10) 20 Feb - 2 Apr 24 Apr - 4 Jun 17 Jul - 27 Aug 11 Sep - 22 Oct Computer Lab A 01-P1 Friday 14:00 - 16:00 West 308 AR/VR Space (24/2-31/3, 28/4-2/6) 20 Feb - 2 Apr 24 Apr - 4 Jun 01-P2 Friday 11:00 - 13:00 Jack Erskine 035 Lab 2 (21/7-25/8, 15/9-20/10) 17 Jul - 27 Aug 11 Sep - 22 Oct Tutorial A 01-P1 Thursday 12:00 - 14:00 Ernest Rutherford 460 (23/2-30/3, 27/4-1/6) 20 Feb - 2 Apr 24 Apr - 4 Jun 01-P2 Thursday 15:00 - 17:00 Jack Erskine 244 (20/7-24/8, 14/9-19/10) 17 Jul - 27 Aug 11 Sep - 22 Oct Workshop A 01 Friday 16:00 - 17:00 Jack Erskine 242 (24/2-31/3, 28/4-2/6)Psychology - Sociology 411 (21/7-25/8, 15/9-20/10) 20 Feb - 2 Apr 24 Apr - 4 Jun 17 Jul - 27 Aug 11 Sep - 22 Oct 02 Friday 16:00 - 17:00 Jane Soons 602 20 Feb - 2 Apr 24 Apr - 4 Jun 17 Jul - 27 Aug 11 Sep - 22 Oct 03 Friday 08:00 - 09:00 Jack Erskine 241 20 Feb - 2 Apr 24 Apr - 4 Jun 17 Jul - 27 Aug 11 Sep - 22 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

#### Recommended Reading

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.

## 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 MATH101 Occurrences

• MATH101-23S1 (D) Semester One 2023 (Distance) - Not Offered - see department for alternatives
• MATH101-23S1 (C) Semester One 2023
• MATH101-23S2 (D) Semester Two 2023 (Distance) - Not Offered - see department for alternatives
• MATH101-23S2 (C) Semester Two 2023
• MATH101-23W (C) Whole Year 2023