Exam (elaborations)
MTE1501 Assignment 3 2023 (213891) - DUE 21 July 2023
- Institution
- University Of South Africa
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MTE1501Assignment 3
2023
(213891) -
DUE 21 July
2023
[School]
[Course title]
,MTE1501 Assignment 3 2023 (213891) - DUE 21 July
2023
1. The Utilitarian View This view sees mathematics as a tool to solve
practical problems and achieve realworld goals such as calculating
distances, measuring quantities, understanding finances, engineering
and designing machines, etc. According to this view, the usefulness of
mathematics lies in its ability to solve practical problems in various
fields and applications, such as physics, engineering, finance, and
business.
The utilitarian view of mathematics emphasizes its practical applications and
usefulness in solving real-world problems. It recognizes mathematics as a
powerful tool for a wide range of fields, including physics, engineering,
finance, and business.
In physics, mathematics plays a crucial role in describing and predicting the
behavior of physical systems. Mathematical models and equations are used to
understand phenomena such as motion, electricity and magnetism, fluid
dynamics, and quantum mechanics. By applying mathematical principles,
physicists can make predictions, perform simulations, and develop new
technologies.
In engineering, mathematics provides the foundation for designing and
analyzing structures, machines, and systems. Engineers use mathematical
concepts to calculate forces, stresses, and material properties, enabling them to
construct safe and efficient structures. Additionally, mathematical optimization
techniques help engineers find the best design solutions considering various
constraints and objectives.
Finance and business heavily rely on mathematics for tasks such as financial
analysis, risk assessment, and investment decision-making. Mathematical
models are used to evaluate the performance of investments, forecast market
, trends, and manage portfolios. Techniques from calculus, probability theory,
and statistics aid in understanding financial markets and developing strategies
for maximizing returns and minimizing risks.
Overall, the utilitarian view of mathematics acknowledges its instrumental role
in solving practical problems across diverse domains. By harnessing
mathematical principles and techniques, professionals can make informed
decisions, develop innovative solutions, and achieve their real-world objectives.
2. The Aesthetic View This view sees mathematics as a beautiful and
elegant subject that should be appreciated for its inherent beauty,
harmony, and simplicity. Mathematicians who hold this view are driven
by a desire to explore the beauty of mathematics for its own sake,
regardless of any practical or utilitarian applications. Mathematics,
according to this view, is an art form that is aesthetically pleasing and
intellectually stimulating, and can bring joy and satisfaction to those
who study it.
The aesthetic view of mathematics emphasizes its beauty, elegance, and
harmony as a fundamental aspect of the discipline. Mathematicians who adopt
this perspective appreciate mathematics for its intrinsic aesthetic qualities rather
than solely focusing on its applications or practical utility. This viewpoint
regards mathematics as an art form that offers intellectual stimulation and
brings joy to those who engage with it.
Those who hold the aesthetic view of mathematics often find satisfaction in
exploring and discovering the intricate patterns, symmetries, and relationships
within mathematical structures. They appreciate the elegance and simplicity of
mathematical proofs, the elegance of mathematical formulas, and the beauty of
mathematical objects and concepts. For them, the act of delving into the depths
of mathematical theory and uncovering its hidden patterns and structures is akin
to appreciating a work of art or experiencing aesthetic pleasure.
This perspective acknowledges that mathematics has applications in various
fields and can be used to solve real-world problems. However, the primary
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