MATH101-24S1 (C) Semester One 2024

# Methods of Mathematics

15 points

Details:
 Start Date: Monday, 19 February 2024 End Date: Sunday, 23 June 2024
Withdrawal Dates
Last Day to withdraw from this course:
• Without financial penalty (full fee refund): Sunday, 3 March 2024
• Without academic penalty (including no fee refund): Sunday, 12 May 2024

## 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 practiced 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

Students who have been credited with any of EMTH118, EMTH119, MATH102 or MATH103, cannot subsequently be credited with MATH101.

## Timetable 2024

Students must attend one activity from each section.

Activity Day Time Location Weeks Lecture A 01 Monday 09:00 - 10:00 A1 Lecture Theatre 19 Feb - 31 Mar 22 Apr - 2 Jun 02 Monday 09:00 - 10:00 Recording Available 19 Feb - 31 Mar 22 Apr - 2 Jun Lecture B 01 Tuesday 11:00 - 12:00 A1 Lecture Theatre 19 Feb - 31 Mar 22 Apr - 2 Jun 02 Tuesday 11:00 - 12:00 Recording Available 19 Feb - 31 Mar 22 Apr - 2 Jun Lecture C 01 Wednesday 13:00 - 14:00 A1 Lecture Theatre 19 Feb - 31 Mar 22 Apr - 2 Jun 02 Wednesday 13:00 - 14:00 Recording Available 19 Feb - 31 Mar 22 Apr - 2 Jun Lecture D 01 Thursday 10:00 - 11:00 A1 Lecture Theatre 19 Feb - 31 Mar 29 Apr - 2 Jun 02 Thursday 10:00 - 11:00 Recording Available 19 Feb - 31 Mar 29 Apr - 2 Jun Computer Lab A 01 Friday 08:00 - 10:00 Jack Erskine 436 Computer Lab 19 Feb - 24 Mar 22 Apr - 2 Jun 02 Friday 10:00 - 12:00 Jack Erskine 436 Computer Lab 19 Feb - 24 Mar 22 Apr - 2 Jun 03 Thursday 15:00 - 17:00 Jack Erskine 436 Computer Lab 19 Feb - 31 Mar 29 Apr - 2 Jun 04 Friday 08:00 - 10:00 Jack Erskine 033 Lab 1 19 Feb - 24 Mar 22 Apr - 2 Jun 05 Wednesday 16:00 - 18:00 Jack Erskine 038 Lab 4 19 Feb - 31 Mar 22 Apr - 2 Jun 06 Wednesday 10:00 - 12:00 Jack Erskine 033 Lab 1 19 Feb - 31 Mar 22 Apr - 2 Jun 07 Friday 12:00 - 14:00 Jack Erskine 436 Computer Lab 19 Feb - 24 Mar 22 Apr - 2 Jun 08 Wednesday 14:00 - 16:00 Jack Erskine 033 Lab 1 19 Feb - 31 Mar 22 Apr - 2 Jun 09 Friday 14:00 - 16:00 Jack Erskine 436 Computer Lab 19 Feb - 24 Mar 22 Apr - 2 Jun 10 Wednesday 08:00 - 10:00 Jack Erskine 033 Lab 1 19 Feb - 31 Mar 22 Apr - 2 Jun 11 Wednesday 10:00 - 12:00 Jack Erskine 038 Lab 4 19 Feb - 31 Mar 22 Apr - 2 Jun 12 Thursday 13:00 - 15:00 Jack Erskine 038 Lab 4 19 Feb - 31 Mar 29 Apr - 2 Jun 13 Friday 16:00 - 18:00 Jack Erskine 436 Computer Lab 19 Feb - 24 Mar 22 Apr - 2 Jun 14 Thursday 08:00 - 10:00 Jack Erskine 033 Lab 1 19 Feb - 31 Mar 29 Apr - 2 Jun 15 Friday 14:00 - 16:00 Jack Erskine 033 Lab 1 19 Feb - 24 Mar 22 Apr - 2 Jun 16 Wednesday 14:00 - 16:00 Jack Erskine 038 Lab 4 19 Feb - 31 Mar 22 Apr - 2 Jun 17 Thursday 13:00 - 15:00 Jack Erskine 436 Computer Lab 19 Feb - 31 Mar 29 Apr - 2 Jun 18 Friday 12:00 - 14:00 Jack Erskine 033 Lab 1 19 Feb - 24 Mar 22 Apr - 2 Jun 19 Thursday 11:00 - 13:00 Jack Erskine 033 Lab 1 19 Feb - 31 Mar 29 Apr - 2 Jun 20 Friday 16:00 - 18:00 Jack Erskine 033 Lab 1 19 Feb - 24 Mar 22 Apr - 2 Jun 21 Thursday 11:00 - 13:00 Jack Erskine 038 Lab 4 19 Feb - 31 Mar 29 Apr - 2 Jun 22 Thursday 08:00 - 10:00 Jack Erskine 038 Lab 4 19 Feb - 31 Mar 29 Apr - 2 Jun 23 Thursday 15:00 - 17:00 Jack Erskine 033 Lab 1 19 Feb - 31 Mar 29 Apr - 2 Jun 24 Friday 10:00 - 12:00 Jack Erskine 033 Lab 1 19 Feb - 24 Mar 22 Apr - 2 Jun 25 Thursday 13:00 - 15:00 Jack Erskine 033 Lab 1 19 Feb - 31 Mar 29 Apr - 2 Jun 26 Wednesday 16:00 - 18:00 Jack Erskine 033 Lab 1 19 Feb - 31 Mar 22 Apr - 2 Jun 27 Wednesday 08:00 - 10:00 Jack Erskine 038 Lab 4 19 Feb - 31 Mar 22 Apr - 2 Jun 28 Wednesday 14:00 - 16:00 Jack Erskine 010 Computer Lab 11 Mar - 31 Mar 22 Apr - 2 Jun Drop in Class A 01 Thursday 12:00 - 13:00 Jack Erskine 031 Lecture Theatre 11 Mar - 17 Mar Drop in Class B 01 Thursday 12:00 - 13:00 C3 Lecture Theatre 13 May - 19 May Drop in Class C 01 Thursday 12:00 - 13:00 C3 Lecture Theatre 27 May - 2 Jun Workshop A 01 Tuesday 13:00 - 14:00 James Logie 105 19 Feb - 31 Mar 22 Apr - 2 Jun 02 Tuesday 12:00 - 13:00 James Logie 105 19 Feb - 31 Mar 22 Apr - 2 Jun 03 Tuesday 10:00 - 11:00 James Logie 105 19 Feb - 31 Mar 22 Apr - 2 Jun 04 Monday 14:00 - 15:00 Jack Erskine 235 19 Feb - 31 Mar 22 Apr - 2 Jun 05 Tuesday 14:00 - 15:00 James Logie 105 19 Feb - 31 Mar 22 Apr - 2 Jun 06 Friday 12:00 - 13:00 Meremere 409 19 Feb - 24 Mar 22 Apr - 2 Jun 07 Tuesday 09:00 - 10:00 Meremere 409 19 Feb - 31 Mar 22 Apr - 2 Jun 08 Monday 13:00 - 14:00 Meremere 409 19 Feb - 31 Mar 22 Apr - 2 Jun 09 Tuesday 15:00 - 16:00 Meremere 409 19 Feb - 31 Mar 22 Apr - 2 Jun 10 Monday 12:00 - 13:00 Meremere 409 19 Feb - 31 Mar 22 Apr - 2 Jun 11 Wednesday 10:00 - 11:00 Meremere 409 19 Feb - 31 Mar 22 Apr - 2 Jun 12 Thursday 13:00 - 14:00 Jack Erskine 235 19 Feb - 31 Mar 29 Apr - 2 Jun 13 Thursday 11:00 - 12:00 Meremere 409 19 Feb - 31 Mar 29 Apr - 2 Jun 14 Tuesday 16:00 - 17:00 Meremere 409 19 Feb - 31 Mar 22 Apr - 2 Jun 15 Monday 15:00 - 16:00 Meremere 409 19 Feb - 31 Mar 22 Apr - 2 Jun 16 Thursday 11:00 - 12:00 Jane Soons 603 19 Feb - 31 Mar 29 Apr - 2 Jun 17 Monday 16:00 - 17:00 Jack Erskine 240 19 Feb - 31 Mar 22 Apr - 2 Jun 18 Tuesday 17:00 - 18:00 Jane Soons 602 19 Feb - 31 Mar 22 Apr - 2 Jun 19 Monday 17:00 - 18:00 Ernest Rutherford 260 19 Feb - 31 Mar 22 Apr - 2 Jun 20 Thursday 17:00 - 18:00 Ernest Rutherford 260 19 Feb - 31 Mar 29 Apr - 2 Jun 21 Thursday 15:00 - 16:00 A7 19 Feb - 31 Mar 29 Apr - 2 Jun 22 Tuesday 17:00 - 18:00 Ernest Rutherford 260 19 Feb - 31 Mar 22 Apr - 2 Jun 23 Friday 11:00 - 12:00 Meremere 409 19 Feb - 24 Mar 22 Apr - 2 Jun 24 Monday 17:00 - 18:00 Jack Erskine 235 19 Feb - 31 Mar 22 Apr - 2 Jun 26 Wednesday 16:00 - 17:00 James Logie 105 19 Feb - 31 Mar 22 Apr - 2 Jun Workshop B 01 Monday 12:00 - 13:00 Jack Erskine 240 (19/2-4/3)Jack Erskine 443 (11/3-25/3, 22/4-27/5) 19 Feb - 31 Mar 22 Apr - 2 Jun 02 Wednesday 15:00 - 16:00 Jack Erskine 235 19 Feb - 31 Mar 22 Apr - 2 Jun 03 Friday 09:00 - 10:00 Jack Erskine 240 19 Feb - 24 Mar 22 Apr - 2 Jun 04 Friday 10:00 - 11:00 Jack Erskine 340 19 Feb - 24 Mar 22 Apr - 2 Jun

## Examinations, Quizzes and Formal Tests

Activity Day Time Location Weeks Test A 01 Thursday 19:00 - 20:30 C1 Lecture Theatre 18 Mar - 24 Mar 02 Thursday 19:00 - 20:30 C2 Lecture Theatre 18 Mar - 24 Mar 03 Thursday 19:00 - 20:30 C3 Lecture Theatre 18 Mar - 24 Mar 04 Thursday 19:00 - 20:30 A2 Lecture Theatre 18 Mar - 24 Mar 05 Thursday 19:00 - 20:30 A8 Lecture Theatre 18 Mar - 24 Mar

## Assessment

Core Skills Modules 5%
Weekly labs: question sets 24%
Weekly labs: working  6%
Workshops: 5%
Test 15%
Final Exam 45%

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

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 \$847.00

International fee \$4,988.00

* 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

• MATH101-24S1 (C) Semester One 2024
• MATH101-24S2 (C) Semester Two 2024
• MATH101-24W (C) Whole Year 2024 - Not Offered due to staff availability