MATH101-21W (C) Whole Year 2021

Methods of Mathematics

15 points

Details:
Start Date: Monday, 22 February 2021
End Date: Sunday, 14 November 2021
Withdrawal Dates
Last Day to withdraw from this course:
  • Without financial penalty (full fee refund): Sunday, 21 March 2021
  • Without academic penalty (including no fee refund): Friday, 27 August 2021

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

Restrictions

Timetable 2021

Students must attend one activity from each section.

Lecture A
Activity Day Time Location Weeks
01 Tuesday 16:00 - 17:00 A8 Lecture Theatre
1 Mar - 4 Apr
26 Apr - 6 Jun
19 Jul - 29 Aug
13 Sep - 24 Oct
Lecture B
Activity Day Time Location Weeks
01 Thursday 15:00 - 16:00 Meremere 105 Lecture Theatre (4/3-18/3)
Meremere 108 Lecture Theatre (25/3-1/4, 29/4-27/5)
Jack Erskine 031 Lecture Theatre (22/7-26/8, 16/9-21/10)
1 Mar - 4 Apr
26 Apr - 30 May
19 Jul - 29 Aug
13 Sep - 24 Oct
Computer Lab A
Activity Day Time Location Weeks
01 Wednesday 09:00 - 11:00 Jack Erskine 035 Lab 2
22 Feb - 4 Apr
26 Apr - 6 Jun
Computer Lab B
Activity Day Time Location Weeks
01 Wednesday 09:00 - 11:00 Jack Erskine 033 Lab 1
19 Jul - 29 Aug
13 Sep - 24 Oct
02 Wednesday 09:00 - 11:00 Jack Erskine 035 Lab 2
19 Jul - 29 Aug
13 Sep - 24 Oct
03 Tuesday 11:00 - 13:00 Jack Erskine 033 Lab 1
19 Jul - 29 Aug
13 Sep - 24 Oct
Tutorial A
Activity Day Time Location Weeks
01 Monday 09:00 - 11:00 Jack Erskine 505
19 Jul - 29 Aug
13 Sep - 24 Oct
Workshop A
Activity Day Time Location Weeks
01 Monday 12:00 - 13:00 Jack Erskine 242
22 Feb - 4 Apr
3 May - 6 Jun
02 Thursday 13:00 - 14:00 Jack Erskine 239
22 Feb - 4 Apr
26 Apr - 6 Jun
03 Wednesday 12:00 - 13:00 Psychology - Sociology 411
22 Feb - 4 Apr
26 Apr - 6 Jun
04 Wednesday 13:00 - 14:00 James Logie 105
22 Feb - 4 Apr
26 Apr - 6 Jun
05 Tuesday 13:00 - 14:00 Jack Erskine 239
22 Feb - 4 Apr
26 Apr - 6 Jun

Examination and Formal Tests

Test A
Activity Day Time Location Weeks
01 Thursday 15:00 - 16:30 Jack Erskine 031 Lecture Theatre 31 May - 6 Jun

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.

Course Coordinator / Lecturer

Rosie Cameron

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 $788.00

International fee $4,438.00

* 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