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Using Spreadsheets to Teach Quantum Theory to Students with Weak Calculus BackgroundsQuantum theory is a key part of the chemical and physical sciences. Traditionally, the teaching of quantum theory has relied heavily on the use of calculus to solve the Schr�¶dinger equation for a limited number of special cases. This approach is not suitable for students who are weak in mathematics, for example, many students who are majoring in biochemistry, biological sciences, etc. This case study describes an approach based on approximate numerical solutions and graphical descriptions of the Schr�¶dinger equation to develop a qualitative appreciation of quantum mechanics in an Australian University.
Using Technology to Teach Mathematics to First Year EngineersThis case study reports on the approach at one institution to helping first year engineering students to acquire the
mathematical skills they need. The approach involves a range of support mechanisms, and the concerted use of technology
as well as paper and pencil methods. Changes in curriculum, pedagogy and indeed assessment style have all proven
necessary.
Using the Graphics Calculator to Support Mathematics for Engineering StudentsFor first and second year engineering students at Napier University, the TI-83 graphics calculator plays a major role in an integrated technological approach to mathematics. This case study reviews the process of integration and its current position in the teaching of students.
Vector Test 01 (DEWIS)Five questions on vectors, testing addition, subtraction, scalar multiplication, magnitude, scalar product, vector product and finding the angle between two vectors. DEWIS resources have been made available under a Creative Commons licence by Rhys Gwynllyw & Karen Henderson, University of the West of England, Bristol.
VectorsThis leaflet explains notations in common use for describing vectors, and shows how to calculate the modulus of vectors given in Cartesian form. (Engineering Maths First Aid Kit 6.1)
Vectors - Scalar Product 1One of the ways in which two vectors can be combined is known as the scalar product. When we calculate the scalar product of two vectors the result, as the name suggests is a scalar, rather than a vector.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Vectors - Scalar Product 2One of the ways in which two vectors can be combined is known as the scalar product. When we calculate the scalar product of two vectors the result, as the name suggests is a scalar, rather than a vector.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Vectors - Scalar Product 3One of the ways in which two vectors can be combined is known as the scalar product. When we calculate the scalar product of two vectors the result, as the name suggests is a scalar, rather than a vector.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Vectors - Scalar Product 4One of the ways in which two vectors can be combined is known as the scalar product. When we calculate the scalar product of two vectors the result, as the name suggests is a scalar, rather than a vector.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Vectors - Scalar Product 5One of the ways in which two vectors can be combined is known as the scalar product. When we calculate the scalar product of two vectors the result, as the name suggests is a scalar, rather than a vector.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Vectors - The Vector Product 1One of the ways in which two vectors can be combined is known as the vector product. When we calculate the vector product of two vectors the result, as the name suggests, is a vector.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Vectors - The Vector Product 2One of the ways in which two vectors can be combined is known as the vector product. When we calculate the vector product of two vectors the result, as the name suggests, is a vector.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Vectors - The Vector Product 3One of the ways in which two vectors can be combined is known as the vector product. When we calculate the vector product of two vectors the result, as the name suggests, is a vector.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Vectors - The Vector Product 4One of the ways in which two vectors can be combined is known as the vector product. When we calculate the vector product of two vectors the result, as the name suggests, is a vector.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Vectors - The Vector Product 5One of the ways in which two vectors can be combined is known as the vector product. When we calculate the vector product of two vectors the result, as the name suggests, is a vector.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Vision for science and mathematics educationA report containing the Royal Society's Vision for science and mathematics education over the next 20 years. This includes a proposal for a broad and balanced curriculum, where young people study science and mathematics until 18 alongside arts, humanities and social sciences. The Royal Society Policy Centre report 01/14 issued June 2014 DES3090.
Volumes of solids of revolutionWe sometimes need to calculate the volume of a solid which can be obtained by
rotating a curve about the x-axis. There is a straightforward technique
which enables this to be done, using integration. This unit will explain how.
Volumes of solids of revolutionWe sometimes need to calculate the volume of a solid which can be obtained by
rotating a curve about the x-axis. There is a straightforward technique
which enables this to be done, using integration. (Mathtutor Video Tutorial)
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Volumes of solids of revolutionWe sometimes need to calculate the volume of a solid which can be obtained by
rotating a curve about the x-axis. There is a straightforward technique
which enables this to be done, using integration. (Mathtutor Video Tutorial)
The video is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
What is a complex numberThis leaflet explains what is meant by a complex number, and how to find its real and imaginary parts. Sigma resource Unit 3.
What is a complex numberThis video explains what is meant by a complex number, and how to find its real and imaginary parts. Sigma resource Unit 3.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by mathcentre.
What is a complex numberThis mobile phone video explains what is meant by a complex number, and how to find its real and imaginary parts. Sigma resource Unit 3.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by mathcentre.
What is a complex numberThis video explains what is meant by a complex number, and how to find its real and imaginary parts. Sigma resource Unit 3.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by mathcentre.
What is a complex number ?This leaflet gives a simple, brief introduction to the concept of a complex number. (Engineering Maths First Aid Kit 7.1)
What is a logarithm ?Logarithms can be used to write expressions involving powers in alternative forms. This leaflet explains how.
