# MATH151 General Mathematics

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Find out which papers are available and how to apply on our COVID-19 website

Topics such as basic mathematical models, operations research, introductory calculus, compound interest, exponential growth and decay, simple integration as well as exponential, logarithmic and trigonometric functions.

If you want to know which of MATH 151, MATH 160 or MATH 170 is best for you, check out the information and placement tools: 'Which MATH 100-level paper should I take?'

Mathematics occurs in almost every field of study and certainly in every quantitative discipline. Getting on top of even basic mathematical techniques is an important step to being able to understand the analytical processes in those fields - processes that deal with, for example, chemical reactions, financial models, population interactions between species and the stresses in the structural members of a bridge. This is an ideal paper for those who need or want to take at least a service paper in mathematical methods and do not yet have a background in mathematics sufficiently strong to join the MATH 160 class.

Emphasis is placed on understanding via examples, and you will use the methods taught to study a variety of practical problems. In the process your manipulation skills in algebra and calculus will improve, and you will gain insight into the usefulness of the techniques. It will also provide you with an appreciation of the value and power of mathematics and the motivation to progress to further MATH papers. In particular you will cover such topics as linear and quadratic models, linear programming, functional notation, differentiation, rates of change, graphing of functions, optimisation problems, exponentials and logarithms, compound interest, exponential growth and decay, and simple integration.

Paper title General Mathematics MATH151 Mathematics 0.1500 18 points First Semester, Summer School \$904.05 \$3,954.75
Restriction
FINC 102, FINQ 102, QUAN 102
Schedule C
Arts and Music, Science
Notes
(i) This paper is recommended for students with NCEA Level 2 mathematics or equivalent. It provides excellent preparation for students wishing to take MATH160. (ii) MATH151 cannot be credited together with MATH101-104, 160 or 170 passed previously or concurrently.
Eligibility
This paper is intended for students whose mathematical background is insufficient to embark on MATH 160 but who want to improve their maths skills, either to assist in their studies of other subjects or to prepare themselves to take MATH 160.
Contact
maths@otago.ac.nz
Teaching staff
First Semester: Associate Professor Boris Baeumer
Paper Structure
Main topics:
• Basic algebraic manipulation
• Equations of lines
• Systems of linear equations
• Arithmetic progressions
• Compound interest
• Linear programming
• Rates of change
• Differentiation
• Graphing functions
• Optimisation problems
• Simple integration
• Finding areas
• Exponential, log and trig functions
• Differential equations
Textbooks
Course materials will be available on the resource page. A book of complete notes for MATH 151 is available for purchase at the Print Shop.
Course outline
View the course outline for MATH 151
Critical thinking.
Learning Outcomes
Basic mathematical literacy and demonstrated understanding of where and how central concepts are used

## Timetable

### First Semester

Location
Dunedin
Teaching method
This paper is taught On Campus
Learning management system
Other

#### Lecture

Stream Days Times Weeks
Attend
L1 Tuesday 10:00-10:50 9-12, 18-22
Wednesday 10:00-10:50 9-12, 18-22
Thursday 10:00-10:50 9-12, 18-22

#### Tutorial

Stream Days Times Weeks
Attend one stream from
T1 Monday 13:00-14:50 10-13, 19-22
T2 Tuesday 11:00-12:50 10-12, 18-21
T3 Tuesday 15:00-16:50 10-12, 18-21
T4 Wednesday 15:00-16:50 10-12, 18-21
T5 Thursday 15:00-16:50 10-12, 18-21
T6 Thursday 15:00-16:50 10-12, 18-21

### Summer School

Location
Dunedin
Teaching method
This paper is taught On Campus
Learning management system
Other

#### Lecture

Stream Days Times Weeks
Attend
L1 Tuesday 10:00-11:50 2-7
Wednesday 10:00-11:50 2-7
Thursday 10:00-11:50 2-5, 7
AND
M1 Monday 10:00-11:50 2-7

#### Tutorial

Stream Days Times Weeks
Attend
T1 Wednesday 13:00-14:50 2-7
Thursday 13:00-14:50 2-5, 7

Topics such as basic mathematical models, operations research, introductory calculus, compound interest, exponential growth and decay, simple integration as well as exponential, logarithmic and trigonometric functions.

If you want to know which of MATH 151, MATH 160 or MATH 170 is best for you, check out the information and placement tools: 'Which MATH 100-level paper should I take?'

Mathematics occurs in almost every field of study and certainly in every quantitative discipline. Getting on top of even basic mathematical techniques is an important step to being able to understand the analytical processes in those fields - processes that deal with, for example, chemical reactions, financial models, population interactions between species and the stresses in the structural members of a bridge. This is an ideal paper for those who need or want to take at least a service paper in mathematical methods and do not yet have a background in mathematics sufficiently strong to join the MATH 160 class.

Emphasis is placed on understanding via examples, and you will use the methods taught to study a variety of practical problems. In the process your manipulation skills in algebra and calculus will improve, and you will gain insight into the usefulness of the techniques. It will also provide you with an appreciation of the value and power of mathematics and the motivation to progress to further MATH papers. In particular you will cover such topics as linear and quadratic models, linear programming, functional notation, differentiation, rates of change, graphing of functions, optimisation problems, exponentials and logarithms, compound interest, exponential growth and decay, and simple integration.

Paper title General Mathematics MATH151 Mathematics 0.15 18 points First Semester, Summer School Tuition Fees for 2021 have not yet been set Tuition Fees for international students are elsewhere on this website.
Restriction
FINC 102, FINQ 102, QUAN 102
Schedule C
Arts and Music, Science
Notes
(i) This paper is recommended for students with NCEA Level 2 mathematics or equivalent. It provides excellent preparation for students wishing to take MATH160. (ii) MATH151 cannot be credited together with MATH101-104, 160 or 170 passed previously or concurrently.
Eligibility
This paper is intended for students whose mathematical background is insufficient to embark on MATH 160 but who want to improve their maths skills, either to assist in their studies of other subjects or to prepare themselves to take MATH 160.
Contact
maths@otago.ac.nz
Teaching staff
First Semester: Associate Professor Boris Baeumer
Paper Structure
Main topics:
• Basic algebraic manipulation
• Equations of lines
• Systems of linear equations
• Arithmetic progressions
• Compound interest
• Linear programming
• Rates of change
• Differentiation
• Graphing functions
• Optimisation problems
• Simple integration
• Finding areas
• Exponential, log and trig functions
• Differential equations
Textbooks
Course materials will be available on the resource page. A book of complete notes for MATH 151 is available for purchase at the Print Shop.
Course outline
View the course outline for MATH 151
Critical thinking.
Learning Outcomes
Basic mathematical literacy and demonstrated understanding of where and how central concepts are used

## Timetable

### First Semester

Location
Dunedin
Teaching method
This paper is taught On Campus
Learning management system
Other

#### Lecture

Stream Days Times Weeks
Attend
A1 Tuesday 10:00-10:50 9-13, 15-22
Wednesday 10:00-10:50 9-13, 15-22
Thursday 10:00-10:50 9-13, 15-22

#### Tutorial

Stream Days Times Weeks
Attend one stream from
A1 Monday 13:00-14:50 10-13, 15-16, 18-22
A2 Tuesday 11:00-12:50 10-13, 15-21
A3 Tuesday 15:00-16:50 10-13, 15-21
A4 Wednesday 15:00-16:50 10-13, 15-21
A5 Thursday 15:00-16:50 10-13, 15-21
A6 Thursday 15:00-16:50 10-13, 15-21

### Summer School

Location
Dunedin
Teaching method
This paper is taught On Campus
Learning management system
Other

#### Lecture

Stream Days Times Weeks
Attend
L1 Tuesday 10:00-11:50 2-7
Wednesday 10:00-11:50 2-7
Thursday 10:00-11:50 2-5, 7
AND
M1 Monday 10:00-11:50 2-5, 7

#### Tutorial

Stream Days Times Weeks
Attend
T1 Wednesday 13:00-14:50 2-7
Thursday 13:00-14:50 2-5, 7