MATH101-20S1 (C) Semester One 2020

Methods of Mathematics

15 points

Details:
Start Date: Monday, 17 February 2020
End Date: Sunday, 21 June 2020
Withdrawal Dates
Last Day to withdraw from this course:
  • Without financial penalty (full fee refund): Friday, 28 February 2020
  • Without academic penalty (including no fee refund): Friday, 29 May 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 09:00 - 10:00 - (23/3, 20/4, 4/5-25/5)
C1 Lecture Theatre (17/2-16/3)
17 Feb - 29 Mar
20 Apr - 26 Apr
4 May - 31 May
02 Monday 09:00 - 10:00 - (17/2-16/3, 20/4)
Online Delivery (23/3, 4/5-25/5)
17 Feb - 29 Mar
20 Apr - 26 Apr
4 May - 31 May
Lecture B
Activity Day Time Location Weeks
01 Tuesday 08:00 - 09:00 - (24/3, 21/4-26/5)
C1 Lecture Theatre (18/2-17/3)
17 Feb - 29 Mar
20 Apr - 31 May
02 Tuesday 08:00 - 09:00 - (18/2-17/3, 21/4)
Online Delivery (24/3, 28/4-26/5)
17 Feb - 29 Mar
20 Apr - 31 May
Lecture C
Activity Day Time Location Weeks
01 Wednesday 14:00 - 15:00 - (25/3, 22/4-27/5)
C1 Lecture Theatre (19/2-18/3)
17 Feb - 29 Mar
20 Apr - 31 May
02 Wednesday 14:00 - 15:00 - (19/2-18/3, 22/4)
Online Delivery (25/3, 29/4-27/5)
17 Feb - 29 Mar
20 Apr - 31 May
Lecture D
Activity Day Time Location Weeks
02 Thursday 08:00 - 09:00 - (23/4-28/5)
E8 Lecture Theatre (20/2-19/3)
17 Feb - 22 Mar
20 Apr - 31 May
03 Thursday 08:00 - 09:00 - (20/2-19/3, 23/4)
Online Delivery (30/4-28/5)
17 Feb - 22 Mar
20 Apr - 31 May
Tutorial A
Activity Day Time Location Weeks
01 Thursday 13:00 - 14:00 - (23/4-28/5)
Jack Erskine 033 Lab 1 (20/2-19/3)
17 Feb - 22 Mar
20 Apr - 31 May
02 Thursday 15:00 - 16:00 - (23/4-28/5)
Jack Erskine 033 Lab 1 (20/2-19/3)
17 Feb - 22 Mar
20 Apr - 31 May
03 Thursday 09:00 - 10:00 - (23/4-28/5)
Jack Erskine 038 Lab 4 (20/2-19/3)
17 Feb - 22 Mar
20 Apr - 31 May
04 Thursday 16:00 - 17:00 - (23/4-28/5)
Jack Erskine 038 Lab 4 (20/2-19/3)
17 Feb - 22 Mar
20 Apr - 31 May
05 Thursday 16:00 - 17:00 - (23/4-28/5)
Jack Erskine 033 Lab 1 (20/2-19/3)
17 Feb - 22 Mar
20 Apr - 31 May
06 Friday 10:00 - 11:00 - (24/4-29/5)
Jack Erskine 038 Lab 4 (21/2-20/3)
17 Feb - 22 Mar
20 Apr - 31 May
07 Thursday 10:00 - 11:00 - (23/4-28/5)
Jack Erskine 038 Lab 4 (20/2-19/3)
17 Feb - 22 Mar
20 Apr - 31 May
08 Thursday 15:00 - 16:00 - (23/4-28/5)
Jack Erskine 038 Lab 4 (20/2-19/3)
17 Feb - 22 Mar
20 Apr - 31 May
09 Thursday 13:00 - 14:00 - (23/4-28/5)
Jack Erskine 038 Lab 4 (20/2-19/3)
17 Feb - 22 Mar
20 Apr - 31 May
10 Thursday 14:00 - 15:00 - (23/4-28/5)
Jack Erskine 033 Lab 1 (20/2-19/3)
17 Feb - 22 Mar
20 Apr - 31 May
11 Friday 11:00 - 12:00 - (24/4-29/5)
Jack Erskine 038 Lab 4 (21/2-20/3)
17 Feb - 22 Mar
20 Apr - 31 May
12 Thursday 12:00 - 13:00 - (23/4-28/5)
Jack Erskine 033 Lab 1 (20/2-19/3)
17 Feb - 22 Mar
20 Apr - 31 May
13 Thursday 11:00 - 12:00 - (23/4-28/5)
Jack Erskine 038 Lab 4 (20/2-19/3)
17 Feb - 22 Mar
20 Apr - 31 May
14 Friday 09:00 - 10:00 - (24/4-29/5)
Jack Erskine 033 Lab 1 (21/2-20/3)
17 Feb - 22 Mar
20 Apr - 31 May
15 Thursday 11:00 - 12:00 - (23/4-28/5)
Jack Erskine 033 Lab 1 (20/2-19/3)
17 Feb - 22 Mar
20 Apr - 31 May
16 Friday 12:00 - 13:00 - (24/4-29/5)
Jack Erskine 038 Lab 4 (21/2-20/3)
17 Feb - 22 Mar
20 Apr - 31 May
17 Friday 13:00 - 14:00 - (24/4-29/5)
Jack Erskine 038 Lab 4 (21/2-20/3)
17 Feb - 22 Mar
20 Apr - 31 May
18 Thursday 12:00 - 13:00 - (23/4-28/5)
Jack Erskine 038 Lab 4 (20/2-19/3)
17 Feb - 22 Mar
20 Apr - 31 May
19 Friday 14:00 - 15:00 - (24/4-29/5)
Jack Erskine 038 Lab 4 (21/2-20/3)
17 Feb - 22 Mar
20 Apr - 31 May
20 Thursday 14:00 - 15:00 - (23/4-28/5)
Jack Erskine 038 Lab 4 (20/2-19/3)
17 Feb - 22 Mar
20 Apr - 31 May
21 Thursday 10:00 - 11:00 - (23/4-28/5)
Jack Erskine 033 Lab 1 (20/2-19/3)
17 Feb - 22 Mar
20 Apr - 31 May
22 Thursday 09:00 - 10:00 - (23/4-28/5)
Jack Erskine 033 Lab 1 (20/2-19/3)
17 Feb - 22 Mar
20 Apr - 31 May
23 Friday 09:00 - 10:00 - (24/4-29/5)
Jack Erskine 038 Lab 4 (21/2-20/3)
17 Feb - 22 Mar
20 Apr - 31 May

Examination and Formal Tests

Test A
Activity Day Time Location Weeks
01 Monday 19:00 - 20:30 C1 Lecture Theatre 9 Mar - 15 Mar
02 Monday 19:00 - 20:30 C2 Lecture Theatre 9 Mar - 15 Mar
03 Monday 19:00 - 20:30 C3 Lecture Theatre 9 Mar - 15 Mar
04 Monday 19:00 - 20:30 A3 Lecture Theatre 9 Mar - 15 Mar
Test B
Activity Day Time Location Weeks
01 Monday 10:00 - 22:00 11 May - 17 May

Course Coordinator

Hilary Seddon

Course Administrator

Jenny Harlow

Lecturers

Hilary Seddon , Jenny Harlow and Cameron Bell

Assessment

Note: To pass this course, you must both pass the course as a whole (≥50% over all the assessment items) and obtain at least 40% in the final examination.

Textbooks / Resources

Recommended Reading:
•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.

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