MATH101-20S2 (C) Semester Two 2020

Methods of Mathematics

15 points

Details:
Start Date: Monday, 13 July 2020
End Date: Sunday, 8 November 2020
Withdrawal Dates
Last Day to withdraw from this course:
  • Without financial penalty (full fee refund): Friday, 24 July 2020
  • Without academic penalty (including no fee refund): Friday, 25 September 2020

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

Restrictions

Timetable 2020

Students must attend one activity from each section.

Lecture A
Activity Day Time Location Weeks
01 Monday 16:00 - 17:00 K1 Lecture Theatre 13 Jul - 23 Aug
7 Sep - 18 Oct
Lecture B
Activity Day Time Location Weeks
01 Tuesday 14:00 - 15:00 K1 Lecture Theatre 13 Jul - 23 Aug
7 Sep - 18 Oct
Lecture C
Activity Day Time Location Weeks
01 Wednesday 17:00 - 18:00 K1 Lecture Theatre 13 Jul - 23 Aug
7 Sep - 18 Oct
Lecture D
Activity Day Time Location Weeks
01 Thursday 10:00 - 11:00 K1 Lecture Theatre 13 Jul - 23 Aug
7 Sep - 18 Oct
Tutorial A
Activity Day Time Location Weeks
01 Friday 16:00 - 17:00 Jack Erskine 436 Computer Lab 13 Jul - 23 Aug
7 Sep - 18 Oct
02 Friday 12:00 - 13:00 Jack Erskine 436 Computer Lab 13 Jul - 23 Aug
7 Sep - 18 Oct
03 Thursday 16:00 - 17:00 Jack Erskine 436 Computer Lab 13 Jul - 23 Aug
7 Sep - 18 Oct
04 Thursday 13:00 - 14:00 Jack Erskine 436 Computer Lab 13 Jul - 23 Aug
7 Sep - 18 Oct
05 Friday 10:00 - 11:00 Jack Erskine 436 Computer Lab 13 Jul - 23 Aug
7 Sep - 18 Oct
06 Friday 09:00 - 10:00 Jack Erskine 436 Computer Lab 13 Jul - 23 Aug
7 Sep - 18 Oct
07 Thursday 15:00 - 16:00 Jack Erskine 442 13 Jul - 23 Aug
7 Sep - 18 Oct
08 Thursday 12:00 - 13:00 Jack Erskine 436 Computer Lab 13 Jul - 23 Aug
7 Sep - 18 Oct
09 Friday 15:00 - 16:00 Jack Erskine 436 Computer Lab 13 Jul - 23 Aug
7 Sep - 18 Oct
10 Friday 11:00 - 12:00 Jack Erskine 436 Computer Lab 13 Jul - 23 Aug
7 Sep - 18 Oct
11 Friday 14:00 - 15:00 Jack Erskine 436 Computer Lab 13 Jul - 23 Aug
7 Sep - 18 Oct
12 Thursday 17:00 - 18:00 Jack Erskine 436 Computer Lab 13 Jul - 23 Aug
7 Sep - 18 Oct
13 Friday 17:00 - 18:00 Jack Erskine 436 Computer Lab 13 Jul - 23 Aug
7 Sep - 18 Oct
14 Thursday 15:00 - 16:00 Jack Erskine 436 Computer Lab 13 Jul - 23 Aug
7 Sep - 18 Oct
15 Thursday 14:00 - 15:00 Jack Erskine 436 Computer Lab 13 Jul - 23 Aug
7 Sep - 18 Oct
16 Thursday 11:00 - 12:00 Jack Erskine 436 Computer Lab 13 Jul - 23 Aug
7 Sep - 18 Oct
17 Friday 13:00 - 14:00 Jack Erskine 436 Computer Lab 13 Jul - 23 Aug
7 Sep - 18 Oct
18 Friday 08:00 - 09:00 Jack Erskine 436 Computer Lab 13 Jul - 23 Aug
7 Sep - 18 Oct

Examination and Formal Tests

Test A
Activity Day Time Location Weeks
01 Monday 19:00 - 20:30 C2 Lecture Theatre 3 Aug - 9 Aug
Test B
Activity Day Time Location Weeks
01 Monday 19:00 - 21:00 C2 Lecture Theatre 21 Sep - 27 Sep

Course Coordinator / Lecturer

Hilary Seddon

Course Administrator

Cameron Bell

Lecturer

Cameron Bell

Textbooks / Resources

Recommended Reading

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.

Indicative Fees

Domestic fee $780.00

International fee $4,250.00

* Fees include New Zealand GST and do not include any programme level discount or additional course related expenses.

For further information see Mathematics and Statistics.

All MATH101 Occurrences