MATH101-21S1 (C) Semester One 2021

Methods of Mathematics

15 points

Details:
Start Date: Monday, 22 February 2021
End Date: Sunday, 27 June 2021
Withdrawal Dates
Last Day to withdraw from this course:
  • Without financial penalty (full fee refund): Sunday, 7 March 2021
  • Without academic penalty (including no fee refund): Friday, 14 May 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.

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 Monday 10:00 - 11:00 C1 Lecture Theatre
22 Feb - 4 Apr
3 May - 6 Jun
02 Monday 15:00 - 16:00 Rehua 005
22 Feb - 7 Mar
Lecture B
Activity Day Time Location Weeks
01 Tuesday 09:00 - 10:00 C1 Lecture Theatre
22 Feb - 4 Apr
26 Apr - 6 Jun
02 Tuesday 11:00 - 12:00 E7 Lecture Theatre
22 Feb - 7 Mar
Lecture C
Activity Day Time Location Weeks
01 Wednesday 11:00 - 12:00 C1 Lecture Theatre
22 Feb - 4 Apr
26 Apr - 6 Jun
02 Wednesday 13:00 - 14:00 E9 Lecture Theatre
22 Feb - 7 Mar
Lecture D
Activity Day Time Location Weeks
01 Thursday 09:00 - 10:00 C1 Lecture Theatre
22 Feb - 4 Apr
26 Apr - 6 Jun
02 Thursday 11:00 - 12:00 E7 Lecture Theatre
22 Feb - 7 Mar
Tutorial A
Activity Day Time Location Weeks
01 Wednesday 08:00 - 10:00 Jack Erskine 038 Lab 4
22 Feb - 4 Apr
26 Apr - 6 Jun
02 Friday 14:00 - 16:00 Jack Erskine 038 Lab 4
22 Feb - 28 Mar
26 Apr - 6 Jun
03 Wednesday 13:00 - 15:00 Jack Erskine 035 Lab 2
22 Feb - 4 Apr
26 Apr - 6 Jun
04 Wednesday 13:00 - 15:00 Jack Erskine 038 Lab 4
22 Feb - 4 Apr
26 Apr - 6 Jun
05 Wednesday 15:00 - 17:00 Jack Erskine 038 Lab 4
22 Feb - 4 Apr
26 Apr - 6 Jun
06 Wednesday 15:00 - 17:00 Jack Erskine 035 Lab 2
22 Feb - 4 Apr
26 Apr - 6 Jun
07 Friday 08:00 - 10:00 Jack Erskine 038 Lab 4
22 Feb - 28 Mar
26 Apr - 6 Jun
08 Wednesday 08:00 - 10:00 Jack Erskine 033 Lab 1
22 Feb - 4 Apr
26 Apr - 6 Jun
09 Thursday 10:00 - 12:00 Jack Erskine 038 Lab 4
22 Feb - 4 Apr
26 Apr - 6 Jun
10 Thursday 12:00 - 14:00 Jack Erskine 038 Lab 4
22 Feb - 4 Apr
26 Apr - 6 Jun
11 Thursday 14:00 - 16:00 Jack Erskine 038 Lab 4
22 Feb - 4 Apr
26 Apr - 6 Jun
12 Wednesday 13:00 - 15:00 Jack Erskine 033 Lab 1
22 Feb - 4 Apr
26 Apr - 6 Jun
13 Friday 12:00 - 14:00 Jack Erskine 033 Lab 1
22 Feb - 28 Mar
26 Apr - 6 Jun
14 Friday 08:00 - 10:00 Jack Erskine 035 Lab 2
22 Feb - 28 Mar
26 Apr - 6 Jun
15 Thursday 16:00 - 18:00 Jack Erskine 033 Lab 1
22 Feb - 4 Apr
26 Apr - 6 Jun
16 Friday 14:00 - 16:00 Jack Erskine 033 Lab 1
22 Feb - 28 Mar
26 Apr - 6 Jun
17 Friday 10:00 - 12:00 Jack Erskine 038 Lab 4
22 Feb - 28 Mar
26 Apr - 6 Jun
18 Friday 12:00 - 14:00 Jack Erskine 038 Lab 4
22 Feb - 28 Mar
26 Apr - 6 Jun
19 Wednesday 15:00 - 17:00 Jack Erskine 033 Lab 1
22 Feb - 4 Apr
26 Apr - 6 Jun
20 Friday 09:00 - 11:00 Jack Erskine 033 Lab 1
22 Feb - 28 Mar
26 Apr - 6 Jun
21 Thursday 13:00 - 15:00 Jack Erskine 035 Lab 2
22 Feb - 4 Apr
26 Apr - 6 Jun
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 Monday 16:00 - 17:00 Jack Erskine 241
22 Feb - 4 Apr
3 May - 6 Jun
03 Monday 13:00 - 14:00 Jack Erskine 239
22 Feb - 4 Apr
3 May - 6 Jun
04 Friday 14:00 - 15:00 Psychology - Sociology 251
22 Feb - 28 Mar
26 Apr - 6 Jun
05 Friday 09:00 - 10:00 Jack Erskine 239
22 Feb - 28 Mar
26 Apr - 6 Jun
06 Thursday 14:00 - 15:00 Jack Erskine 239
22 Feb - 4 Apr
26 Apr - 6 Jun
07 Monday 15:00 - 16:00 Psychology - Sociology 411
22 Feb - 4 Apr
3 May - 6 Jun
08 Thursday 13:00 - 14:00 Jack Erskine 239
22 Feb - 4 Apr
26 Apr - 6 Jun
09 Friday 12:00 - 13:00 Jack Erskine 241
22 Feb - 28 Mar
26 Apr - 6 Jun
10 Thursday 10:00 - 11:00 Meremere 409
22 Feb - 4 Apr
26 Apr - 6 Jun
11 Tuesday 10:00 - 11:00 Meremere 409
22 Feb - 4 Apr
26 Apr - 6 Jun
12 Wednesday 10:00 - 11:00 Meremere 409
22 Feb - 4 Apr
26 Apr - 6 Jun
13 Tuesday 11:00 - 12:00 Meremere 409
22 Feb - 4 Apr
26 Apr - 6 Jun
14 Tuesday 12:00 - 13:00 Meremere 409
22 Feb - 4 Apr
26 Apr - 6 Jun
15 Tuesday 16:00 - 17:00 Meremere 409
22 Feb - 4 Apr
26 Apr - 6 Jun
16 Wednesday 09:00 - 10:00 Psychology - Sociology 307
22 Feb - 4 Apr
26 Apr - 6 Jun
17 Monday 08:00 - 09:00 Jack Erskine 240
22 Feb - 4 Apr
3 May - 6 Jun
18 Wednesday 12:00 - 13:00 Psychology - Sociology 411
22 Feb - 4 Apr
26 Apr - 6 Jun
19 Friday 13:00 - 14:00 Jack Erskine 240
22 Feb - 28 Mar
26 Apr - 6 Jun
20 Thursday 16:00 - 17:00 Jack Erskine 235
22 Feb - 4 Apr
26 Apr - 6 Jun
21 Wednesday 13:00 - 14:00 James Logie 105
22 Feb - 4 Apr
26 Apr - 6 Jun
22 Thursday 11:00 - 12:00 Karl Popper 413
22 Feb - 4 Apr
26 Apr - 6 Jun
23 Tuesday 13:00 - 14:00 Jack Erskine 239
22 Feb - 4 Apr
26 Apr - 6 Jun
24 Monday 12:00 - 13:00 Jack Erskine 239
22 Feb - 4 Apr
3 May - 6 Jun
25 Monday 13:00 - 14:00 Jack Erskine 241
22 Feb - 4 Apr
3 May - 6 Jun
26 Tuesday 10:00 - 11:00 Psychology - Sociology 307
22 Feb - 4 Apr
26 Apr - 6 Jun

Examination and Formal Tests

Test A
Activity Day Time Location Weeks
01 Thursday 19:00 - 20:30 C1 Lecture Theatre
29 Mar - 4 Apr
02 Thursday 19:00 - 20:30 C2 Lecture Theatre
29 Mar - 4 Apr
03 Thursday 19:00 - 20:30 C3 Lecture Theatre
29 Mar - 4 Apr
04 Thursday 19:00 - 20:30 E6 Lecture Theatre
29 Mar - 4 Apr
05 Thursday 19:00 - 20:30 E16 Lecture Theatre
29 Mar - 4 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 $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.

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