MATH101-22S1 (C) Semester One 2022

Methods of Mathematics

15 points

Details:
Start Date: Monday, 21 February 2022
End Date: Sunday, 26 June 2022
Withdrawal Dates
Last Day to withdraw from this course:
  • Without financial penalty (full fee refund): Sunday, 6 March 2022
  • Without academic penalty (including no fee refund): Sunday, 15 May 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.

This occurrence of the course is for approved online students only. On-campus students should enrol in the (C) occurrence of this course

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 2022

Students must attend one activity from each section.

Lecture A
Activity Day Time Location Weeks
01 Monday 15:00 - 16:00 C1 Lecture Theatre
21 Feb - 10 Apr
2 May - 5 Jun
02 Monday 15:00 - 16:00 Live Stream Available
21 Feb - 10 Apr
2 May - 5 Jun
Lecture B
Activity Day Time Location Weeks
01 Tuesday 15:00 - 16:00 C1 Lecture Theatre
21 Feb - 10 Apr
2 May - 5 Jun
02 Tuesday 15:00 - 16:00 Live Stream Available
21 Feb - 10 Apr
2 May - 5 Jun
Lecture C
Activity Day Time Location Weeks
01 Wednesday 15:00 - 16:00 C1 Lecture Theatre
21 Feb - 10 Apr
2 May - 5 Jun
02 Wednesday 15:00 - 16:00 Live Stream Available
21 Feb - 10 Apr
2 May - 5 Jun
Lecture D
Activity Day Time Location Weeks
01 Thursday 15:00 - 16:00 C1 Lecture Theatre
21 Feb - 10 Apr
2 May - 5 Jun
02 Thursday 15:00 - 16:00 Live Stream Available
21 Feb - 10 Apr
2 May - 5 Jun
Computer Lab A
Activity Day Time Location Weeks
01 Thursday 08:00 - 10:00 Jack Erskine 038 Lab 4
21 Feb - 10 Apr
2 May - 5 Jun
02 Thursday 08:00 - 10:00 Jack Erskine 033 Lab 1
21 Feb - 10 Apr
2 May - 5 Jun
03 Thursday 10:00 - 12:00 Jack Erskine 033 Lab 1
21 Feb - 10 Apr
2 May - 5 Jun
04 Thursday 10:00 - 12:00 Jack Erskine 038 Lab 4
21 Feb - 10 Apr
2 May - 5 Jun
05 Thursday 12:00 - 14:00 Jack Erskine 038 Lab 4
21 Feb - 10 Apr
2 May - 5 Jun
06 Thursday 12:00 - 14:00 Jack Erskine 033 Lab 1
21 Feb - 10 Apr
2 May - 5 Jun
07 Wednesday 13:00 - 15:00 Jack Erskine 038 Lab 4
21 Feb - 10 Apr
2 May - 5 Jun
08 Wednesday 13:00 - 15:00 Jack Erskine 033 Lab 1
21 Feb - 10 Apr
2 May - 5 Jun
09 Thursday 16:00 - 18:00 Jack Erskine 033 Lab 1
21 Feb - 10 Apr
2 May - 5 Jun
10 Thursday 16:00 - 18:00 Jack Erskine 038 Lab 4
21 Feb - 10 Apr
2 May - 5 Jun
11 Friday 08:00 - 10:00 Jack Erskine 038 Lab 4
21 Feb - 10 Apr
2 May - 5 Jun
12 Wednesday 15:00 - 17:00 Jack Erskine 033 Lab 1
21 Feb - 10 Apr
2 May - 5 Jun
13 Friday 10:00 - 12:00 Jack Erskine 033 Lab 1
21 Feb - 10 Apr
2 May - 5 Jun
14 Friday 10:00 - 12:00 Jack Erskine 038 Lab 4
21 Feb - 10 Apr
2 May - 5 Jun
15 Friday 12:00 - 14:00 Jack Erskine 033 Lab 1
21 Feb - 10 Apr
2 May - 5 Jun
16 Friday 12:00 - 14:00 Jack Erskine 038 Lab 4
21 Feb - 10 Apr
2 May - 5 Jun
17 Friday 14:00 - 16:00 Jack Erskine 033 Lab 1
21 Feb - 10 Apr
2 May - 5 Jun
18 Friday 14:00 - 16:00 Jack Erskine 038 Lab 4
21 Feb - 10 Apr
2 May - 5 Jun
19 Friday 16:00 - 18:00 Jack Erskine 033 Lab 1
21 Feb - 10 Apr
2 May - 5 Jun
20 Friday 16:00 - 18:00 Jack Erskine 038 Lab 4
21 Feb - 10 Apr
2 May - 5 Jun
Workshop A
Activity Day Time Location Weeks
01 Monday 10:00 - 11:00 Jack Erskine 241
28 Feb - 10 Apr
2 May - 5 Jun
02 Monday 13:00 - 14:00 Eng Core 128 Tutorial Room
28 Feb - 10 Apr
2 May - 5 Jun
03 Monday 13:00 - 14:00 Eng Core 129 Tutorial Room
28 Feb - 10 Apr
2 May - 5 Jun
04 Monday 14:00 - 15:00 Eng Core 128 Tutorial Room
28 Feb - 10 Apr
2 May - 5 Jun
05 Monday 14:00 - 15:00 Eng Core 129 Tutorial Room
28 Feb - 10 Apr
2 May - 5 Jun
06 Monday 16:00 - 17:00 Jack Erskine 235
28 Feb - 10 Apr
2 May - 5 Jun
07 Monday 16:00 - 17:00 E13
28 Feb - 10 Apr
2 May - 5 Jun
08 Tuesday 09:00 - 10:00 E13
28 Feb - 10 Apr
2 May - 5 Jun
09 Tuesday 09:00 - 10:00 Jack Erskine 239
28 Feb - 10 Apr
2 May - 5 Jun
10 Tuesday 11:00 - 12:00 E13
28 Feb - 10 Apr
2 May - 5 Jun
11 Tuesday 11:00 - 12:00 Jack Erskine 239
28 Feb - 10 Apr
2 May - 5 Jun
12 Tuesday 12:00 - 13:00 Jack Erskine 241
28 Feb - 10 Apr
2 May - 5 Jun
13 Tuesday 12:00 - 13:00 Jack Erskine 239
28 Feb - 10 Apr
2 May - 5 Jun
14 Tuesday 13:00 - 14:00 Jack Erskine 239
28 Feb - 10 Apr
2 May - 5 Jun
15 Wednesday 09:00 - 10:00 Eng Core 128 Tutorial Room
28 Feb - 10 Apr
2 May - 5 Jun
16 Wednesday 09:00 - 10:00 Eng Core 129 Tutorial Room
28 Feb - 10 Apr
2 May - 5 Jun
17 Thursday 09:00 - 10:00 Eng Core 129 Tutorial Room
28 Feb - 10 Apr
2 May - 5 Jun
18 Friday 09:00 - 10:00 Eng Core 129 Tutorial Room
28 Feb - 10 Apr
2 May - 5 Jun
19 Friday 10:00 - 11:00 Eng Core 129 Tutorial Room
28 Feb - 10 Apr
2 May - 5 Jun
20 Friday 11:00 - 12:00 Jack Erskine 235
28 Feb - 10 Apr
2 May - 5 Jun
21 Friday 12:00 - 13:00 E13
28 Feb - 10 Apr
2 May - 5 Jun
22 Friday 12:00 - 13:00 Karl Popper 413
28 Feb - 10 Apr
2 May - 5 Jun
23 Friday 13:00 - 14:00 Eng Core 129 Tutorial Room
28 Feb - 10 Apr
2 May - 5 Jun
24 Friday 14:00 - 15:00 Jack Erskine 121
28 Feb - 10 Apr
2 May - 5 Jun
25 Monday 13:00 - 14:00 Online Delivery
28 Feb - 10 Apr
2 May - 5 Jun
26 Monday 14:00 - 15:00 Online Delivery
28 Feb - 10 Apr
2 May - 5 Jun
27 Monday 16:00 - 17:00 Online Delivery
28 Feb - 10 Apr
2 May - 5 Jun
28 Tuesday 11:00 - 12:00 Online Delivery
28 Feb - 10 Apr
2 May - 5 Jun
29 Tuesday 12:00 - 13:00 Online Delivery
28 Feb - 10 Apr
2 May - 5 Jun
30 Friday 11:00 - 12:00 Online Delivery
28 Feb - 10 Apr
2 May - 5 Jun
31 Friday 12:00 - 13:00 Online Delivery
28 Feb - 10 Apr
2 May - 5 Jun
32 Friday 13:00 - 14:00 Online Delivery
28 Feb - 10 Apr
2 May - 5 Jun

Examination and Formal Tests

Test A
Activity Day Time Location Weeks
01 Monday 19:00 - 20:30 4 Apr - 10 Apr

Course Coordinator / Lecturer

Rosie Cameron

Lecturers

Clemency Montelle and Hilary Seddon

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.

Haeussler, Ernest F. , Paul, Richard S., Wood, R. J; Introductory mathematical analysis for business, economics, and the life and social sciences ; 13th ed; Pearson, 2014.

NCEA Level 2 and 3 textbooks are also a useful reference.

Indicative Fees

Domestic fee $802.00

International fee $4,563.00

* 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