MATH101-23S1 (C) Semester One 2023

# Methods of Mathematics

15 points

Details:
 Start Date: Monday, 20 February 2023 End Date: Sunday, 25 June 2023
Withdrawal Dates
Last Day to withdraw from this course:
• Without financial penalty (full fee refund): Sunday, 5 March 2023
• Without academic penalty (including no fee refund): Sunday, 14 May 2023

## 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

## Timetable 2023

Students must attend one activity from each section.

Activity Day Time Location Weeks Lecture A 01 Monday 16:00 - 17:00 C1 Lecture Theatre (20/2-27/3, 24/4-15/5) A1 Lecture Theatre (22/5-29/5) 20 Feb - 2 Apr 24 Apr - 4 Jun 02 Monday 16:00 - 17:00 Live Stream Available 20 Feb - 2 Apr 24 Apr - 4 Jun Lecture B 01 Tuesday 16:00 - 17:00 C1 Lecture Theatre 20 Feb - 2 Apr 24 Apr - 4 Jun 02 Tuesday 16:00 - 17:00 Live Stream Available 20 Feb - 2 Apr 24 Apr - 4 Jun Lecture C 01 Wednesday 16:00 - 17:00 C1 Lecture Theatre (22/2-22/3) C3 Lecture Theatre (29/3, 26/4-31/5) 20 Feb - 2 Apr 24 Apr - 4 Jun 02 Wednesday 16:00 - 17:00 Live Stream Available 20 Feb - 2 Apr 24 Apr - 4 Jun Lecture D 01 Thursday 16:00 - 17:00 C1 Lecture Theatre (23/2-9/3) A2 Lecture Theatre (16/3-30/3, 27/4-11/5, 25/5-1/6) C2 Lecture Theatre (18/5) 20 Feb - 2 Apr 24 Apr - 4 Jun 02 Thursday 16:00 - 17:00 Live Stream Available 20 Feb - 2 Apr 24 Apr - 4 Jun Computer Lab A 01 Wednesday 09:00 - 11:00 Jack Erskine 033 Lab 1 20 Feb - 2 Apr 24 Apr - 4 Jun 02 Wednesday 09:00 - 11:00 Jack Erskine 038 Lab 4 20 Feb - 2 Apr 24 Apr - 4 Jun 03 Wednesday 11:00 - 13:00 Jack Erskine 033 Lab 1 20 Feb - 2 Apr 24 Apr - 4 Jun 04 Wednesday 11:00 - 13:00 Jack Erskine 038 Lab 4 20 Feb - 2 Apr 24 Apr - 4 Jun 05 Wednesday 13:00 - 15:00 Jack Erskine 033 Lab 1 20 Feb - 2 Apr 24 Apr - 4 Jun 06 Wednesday 13:00 - 15:00 Jack Erskine 038 Lab 4 20 Feb - 2 Apr 24 Apr - 4 Jun 07 Thursday 09:00 - 11:00 Jack Erskine 033 Lab 1 20 Feb - 2 Apr 24 Apr - 4 Jun 08 Thursday 09:00 - 11:00 Jack Erskine 038 Lab 4 20 Feb - 2 Apr 24 Apr - 4 Jun 09 Thursday 11:00 - 13:00 Jack Erskine 033 Lab 1 20 Feb - 2 Apr 24 Apr - 4 Jun 10 Thursday 11:00 - 13:00 Jack Erskine 038 Lab 4 20 Feb - 2 Apr 24 Apr - 4 Jun 11 Thursday 13:00 - 15:00 Jack Erskine 033 Lab 1 20 Feb - 2 Apr 24 Apr - 4 Jun 12 Thursday 13:00 - 15:00 Jack Erskine 038 Lab 4 20 Feb - 2 Apr 24 Apr - 4 Jun 13 Friday 08:00 - 10:00 Jack Erskine 033 Lab 1 20 Feb - 2 Apr 24 Apr - 4 Jun 14 Friday 08:00 - 10:00 Jack Erskine 038 Lab 4 20 Feb - 2 Apr 24 Apr - 4 Jun 15 Friday 10:00 - 12:00 Jack Erskine 033 Lab 1 20 Feb - 2 Apr 24 Apr - 4 Jun 16 Friday 10:00 - 12:00 Jack Erskine 038 Lab 4 20 Feb - 2 Apr 24 Apr - 4 Jun 17 Friday 12:00 - 14:00 Jack Erskine 033 Lab 1 20 Feb - 2 Apr 24 Apr - 4 Jun 18 Friday 12:00 - 14:00 Jack Erskine 038 Lab 4 20 Feb - 2 Apr 24 Apr - 4 Jun 19 Friday 14:00 - 16:00 Jack Erskine 033 Lab 1 20 Feb - 2 Apr 24 Apr - 4 Jun 20 Friday 14:00 - 16:00 Jack Erskine 038 Lab 4 20 Feb - 2 Apr 24 Apr - 4 Jun 21 Thursday 13:00 - 15:00 Jack Erskine 436 Computer Lab 20 Feb - 2 Apr 24 Apr - 4 Jun 22 Wednesday 11:00 - 13:00 Jack Erskine 436 Computer Lab 20 Feb - 2 Apr 24 Apr - 4 Jun 23 Wednesday 13:00 - 15:00 Jack Erskine 436 Computer Lab 20 Feb - 2 Apr 24 Apr - 4 Jun 24 Thursday 11:00 - 13:00 Jack Erskine 436 Computer Lab 20 Feb - 2 Apr 24 Apr - 4 Jun 25 Friday 09:00 - 11:00 Jack Erskine 436 Computer Lab 20 Feb - 2 Apr 24 Apr - 4 Jun 26 Wednesday 09:00 - 11:00 Jack Erskine 442 Computer Lab 20 Feb - 2 Apr 24 Apr - 4 Jun 27 Friday 12:00 - 14:00 Jack Erskine 442 Computer Lab 27 Feb - 2 Apr 24 Apr - 4 Jun Workshop A 01 Tuesday 10:00 - 11:00 Psychology - Sociology 213 20 Feb - 2 Apr 24 Apr - 4 Jun 02 Monday 13:00 - 14:00 E13 27 Feb - 2 Apr 24 Apr - 4 Jun 03 Monday 14:00 - 15:00 Psychology - Sociology 213 27 Feb - 2 Apr 24 Apr - 4 Jun 04 Monday 09:00 - 10:00 Psychology - Sociology 307 27 Feb - 2 Apr 24 Apr - 4 Jun 05 Monday 15:00 - 16:00 Psychology - Sociology 307 27 Feb - 2 Apr 24 Apr - 4 Jun 06 Tuesday 15:00 - 16:00 E13 27 Feb - 2 Apr 24 Apr - 4 Jun 07 Tuesday 10:00 - 11:00 Jack Erskine 239 27 Feb - 2 Apr 24 Apr - 4 Jun 08 Monday 15:00 - 16:00 Psychology - Sociology 213 27 Feb - 2 Apr 24 Apr - 4 Jun 09 Monday 11:00 - 12:00 E12 27 Feb - 2 Apr 24 Apr - 4 Jun 10 Tuesday 13:00 - 14:00 Meremere 409 27 Feb - 2 Apr 24 Apr - 4 Jun 11 Tuesday 09:00 - 10:00 Rehua 530 27 Feb - 2 Apr 24 Apr - 4 Jun 12 Tuesday 14:00 - 15:00 Meremere 409 27 Feb - 2 Apr 24 Apr - 4 Jun 13 Tuesday 11:00 - 12:00 Meremere 409 27 Feb - 2 Apr 24 Apr - 4 Jun 14 Tuesday 14:00 - 15:00 Jack Erskine 443 27 Feb - 2 Apr 24 Apr - 4 Jun 15 Tuesday 09:00 - 10:00 Jack Erskine 239 27 Feb - 2 Apr 24 Apr - 4 Jun 16 Tuesday 12:00 - 13:00 Meremere 409 27 Feb - 2 Apr 24 Apr - 4 Jun 17 Monday 10:00 - 11:00 Meremere 409 27 Feb - 2 Apr 24 Apr - 4 Jun 18 Tuesday 15:00 - 16:00 Meremere 409 27 Feb - 2 Apr 24 Apr - 4 Jun 19 Monday 09:00 - 10:00 Meremere 409 27 Feb - 2 Apr 24 Apr - 4 Jun 20 Monday 12:00 - 13:00 Psychology - Sociology 307 27 Feb - 2 Apr 24 Apr - 4 Jun 21 Monday 12:00 - 13:00 Ernest Rutherford 260 27 Feb - 2 Apr 24 Apr - 4 Jun 22 Monday 13:00 - 14:00 Psychology - Sociology 251 27 Feb - 2 Apr 24 Apr - 4 Jun 23 Monday 14:00 - 15:00 Psychology - Sociology 413 27 Feb - 2 Apr 24 Apr - 4 Jun 24 Monday 10:00 - 11:00 Jack Erskine 239 27 Feb - 2 Apr 24 Apr - 4 Jun 25 Monday 11:00 - 12:00 Jack Erskine 239 27 Feb - 2 Apr 24 Apr - 4 Jun 26 Friday 17:00 - 18:00 20 Feb - 2 Apr 24 Apr - 4 Jun Workshop B 01 Wednesday 12:00 - 13:00 Jack Erskine 235 20 Feb - 2 Apr 24 Apr - 4 Jun 02 Thursday 12:00 - 13:00 Jack Erskine 244 20 Feb - 2 Apr 24 Apr - 4 Jun 03 Monday 12:00 - 13:00 Ernest Rutherford 212 Computer Lab 20 Feb - 2 Apr 24 Apr - 4 Jun 04 Tuesday 12:00 - 13:00 Jack Erskine 248 Computer Lab 20 Feb - 2 Apr 24 Apr - 4 Jun 05 Friday 12:00 - 13:00 A7 20 Feb - 2 Apr 24 Apr - 4 Jun

## Examination and Formal Tests

Activity Day Time Location Weeks Test A 01 Wednesday 18:30 - 20:00 C3 Lecture Theatre 27 Mar - 2 Apr 02 Wednesday 18:30 - 20:00 K1 Lecture Theatre 27 Mar - 2 Apr 03 Wednesday 18:30 - 20:00 A3 Lecture Theatre 27 Mar - 2 Apr 04 Wednesday 18:30 - 20:00 E5 Lecture Theatre 27 Mar - 2 Apr 05 Wednesday 18:30 - 20:00 E7 Lecture Theatre 27 Mar - 2 Apr 06 Wednesday 18:30 - 20:00 Rata 222 & 223 Drawing Office 27 Mar - 2 Apr

## 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 \$824.00

International fee \$4,750.00

* 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

• MATH101-23S1 (D) Semester One 2023 (Distance) - Not Offered - see department for alternatives
• MATH101-23S1 (C) Semester One 2023
• MATH101-23S2 (D) Semester Two 2023 (Distance) - Not Offered - see department for alternatives
• MATH101-23S2 (C) Semester Two 2023
• MATH101-23W (C) Whole Year 2023