Last modified: 23 Jul 2024 10:43
This course introduces key mathematical methods required in more advanced physics courses. The mathematical methods introduced in this course will be key to understand courses such as Electricity and Magnetism, Quantum Mechanics and Statistical Physics. The importance of the mathematical and computational methods discussed in this course goes beyond being useful for other physics courses, as they will provide you with key analytical tools to approach a large variety of problems, also relevant for your career after University.
| Study Type | Undergraduate | Level | 3 |
|---|---|---|---|
| Term | First Term | Credit Points | 15 credits (7.5 ECTS credits) |
| Campus | Aberdeen | Sustained Study | No |
| Co-ordinators |
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This part of the course enables the students to learn and understand essential mathematical methods and tools in theoretical and applied physics and related scientific subjects. Some mathematical ideas and theorems being covered may appear rather abstract and surprising in the first place but can prove to be key to understanding the depth and generality of physical principles that underpin modern physics, information science, and complex phenomena etc. The main topics covered in each teaching week in this part of the course are: Paths, Fields, Line Integrals, Multiple Integrals, Green and Divergence Theorems in 2-Dimensions, Green and Divergence Theorems in 3-Dimensions, Ordinary Differential Equations, Fourier Transform, and Partial Differential Equations.
Information on contact teaching time is available from the course guide.
| Assessment Type | Summative | Weighting | 20 | |
|---|---|---|---|---|
| Assessment Weeks | Feedback Weeks | |||
| Feedback |
Written feedback via MyAberdeen |
|||
| Knowledge Level | Thinking Skill | Outcome |
|---|---|---|
| Procedural | Apply | Develop mathematical skills in one, two, and three dimensional integrations and establish their basic applications in fundamental and applied areas in physical sciences |
| Procedural | Understand | Understand the physical nature of fields and their mathematical descriptions |
| Procedural | Understand | Understand the properties of differential equations at the ordinary and partial levels and their applications |
| Procedural | Understand | Understand the physical nature of lines and paths and their mathematical descriptions. |
| Assessment Type | Summative | Weighting | 60 | |
|---|---|---|---|---|
| Assessment Weeks | Feedback Weeks | |||
| Feedback |
Written feedback via MyAberdeen |
|||
| Knowledge Level | Thinking Skill | Outcome |
|---|---|---|
| Procedural | Apply | Understand the constructions of Fourier Transform and their basic applications in physics, data science, and signal analysis |
| Procedural | Apply | Develop mathematical skills in one, two, and three dimensional integrations and establish their basic applications in fundamental and applied areas in physical sciences |
| Procedural | Understand | Understand the properties of differential equations at the ordinary and partial levels and their applications |
| Procedural | Understand | Understand the physical nature of lines and paths and their mathematical descriptions. |
| Procedural | Understand | Understand the physical nature of fields and their mathematical descriptions |
| Assessment Type | Summative | Weighting | 20 | |
|---|---|---|---|---|
| Assessment Weeks | Feedback Weeks | |||
| Feedback |
Written feedback via MyAberdeen |
|||
| Knowledge Level | Thinking Skill | Outcome |
|---|---|---|
| Procedural | Apply | Develop mathematical skills in one, two, and three dimensional integrations and establish their basic applications in fundamental and applied areas in physical sciences |
| Procedural | Understand | Understand the properties of differential equations at the ordinary and partial levels and their applications |
| Procedural | Understand | Understand the physical nature of lines and paths and their mathematical descriptions. |
| Procedural | Understand | Understand the physical nature of fields and their mathematical descriptions |
There are no assessments for this course.
| Assessment Type | Summative | Weighting | 100 | |
|---|---|---|---|---|
| Assessment Weeks | Feedback Weeks | |||
| Feedback |
Written feedback via MyAberdeen |
|||
| Knowledge Level | Thinking Skill | Outcome |
|---|---|---|
|
|
||
| Knowledge Level | Thinking Skill | Outcome |
|---|---|---|
| Procedural | Understand | Understand the physical nature of lines and paths and their mathematical descriptions. |
| Procedural | Understand | Understand the physical nature of fields and their mathematical descriptions |
| Procedural | Understand | Understand the properties of differential equations at the ordinary and partial levels and their applications |
| Procedural | Apply | Develop mathematical skills in one, two, and three dimensional integrations and establish their basic applications in fundamental and applied areas in physical sciences |
| Procedural | Apply | Understand the constructions of Fourier Transform and their basic applications in physics, data science, and signal analysis |
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