| 1 | <p>Apply the basic notation and terminology of relations, functions, trees, graphs, and strings.</p> | <p>BE(Hons) - Bachelor of Engineering (Honours) - Programme Capabilities <p>Apply knowledge of mathematics, natural science, computing and engineering fundamentals, and an engineering specialisation, considering multiple perspectives and knowledge systems to develop solutions to complex engineering problems (WA1)</p><p>Create, select, apply, and recognize limitations of appropriate techniques, resources, and modern engineering and IT tools, including measurements, modelling and prediction, to solve complex engineering problems (WA5)</p><p>Use knowledge of mathematics, natural sciences and engineering principles, and research literature to identify, formulate, analyse and solve complex engineering problems and reach substantiated conclusions (WA2)</p><p>Conduct investigations of complex engineering problems using research methods, research-based knowledge, design of experiments, analysis and interpretation of data, and synthesis of information to provide valid conclusions (WA4)</p><p>Design creative solutions for complex engineering problems and design systems, components or processes to meet identified needs with appropriate consideration for public health and safety, whole-life cost, net zero carbon, as well as resource, cultural, societal, and environmental considerations as required (WA3)</p> </p> |
| 2 | <p>Translate problems stated in ordinary language (e.g. counting problems or graph problems) into the language of discrete structures.</p> | <p>BE(Hons) - Bachelor of Engineering (Honours) - Programme Capabilities <p>Apply knowledge of mathematics, natural science, computing and engineering fundamentals, and an engineering specialisation, considering multiple perspectives and knowledge systems to develop solutions to complex engineering problems (WA1)</p><p>Create, select, apply, and recognize limitations of appropriate techniques, resources, and modern engineering and IT tools, including measurements, modelling and prediction, to solve complex engineering problems (WA5)</p><p>Use knowledge of mathematics, natural sciences and engineering principles, and research literature to identify, formulate, analyse and solve complex engineering problems and reach substantiated conclusions (WA2)</p><p>Conduct investigations of complex engineering problems using research methods, research-based knowledge, design of experiments, analysis and interpretation of data, and synthesis of information to provide valid conclusions (WA4)</p><p>Design creative solutions for complex engineering problems and design systems, components or processes to meet identified needs with appropriate consideration for public health and safety, whole-life cost, net zero carbon, as well as resource, cultural, societal, and environmental considerations as required (WA3)</p><p>Communicate effectively, respectfully and inclusively on complex engineering activities with the engineering community and with society at large, such as being able to comprehend and write effective reports and design documentation, make effective presentations, taking into account cultural, language, and learning differences using a range of technologies and formats (WA10)</p> </p> |
| 3 | <p>Translate proof methods (e.g. direct proof, proof by cases) to simple mathematical statements and analyse a simple format of the statements using logic (e.g. propositional logic).</p> | <p>BE(Hons) - Bachelor of Engineering (Honours) - Programme Capabilities <p>Apply knowledge of mathematics, natural science, computing and engineering fundamentals, and an engineering specialisation, considering multiple perspectives and knowledge systems to develop solutions to complex engineering problems (WA1)</p><p>Create, select, apply, and recognize limitations of appropriate techniques, resources, and modern engineering and IT tools, including measurements, modelling and prediction, to solve complex engineering problems (WA5)</p><p>Use knowledge of mathematics, natural sciences and engineering principles, and research literature to identify, formulate, analyse and solve complex engineering problems and reach substantiated conclusions (WA2)</p><p>Conduct investigations of complex engineering problems using research methods, research-based knowledge, design of experiments, analysis and interpretation of data, and synthesis of information to provide valid conclusions (WA4)</p><p>Design creative solutions for complex engineering problems and design systems, components or processes to meet identified needs with appropriate consideration for public health and safety, whole-life cost, net zero carbon, as well as resource, cultural, societal, and environmental considerations as required (WA3)</p><p>Communicate effectively, respectfully and inclusively on complex engineering activities with the engineering community and with society at large, such as being able to comprehend and write effective reports and design documentation, make effective presentations, taking into account cultural, language, and learning differences using a range of technologies and formats (WA10)</p> </p> |
| 4 | <p>Apply propositional logic to find truth values of statements given in ordinary language</p> | <p>BE(Hons) - Bachelor of Engineering (Honours) - Programme Capabilities <p>Apply knowledge of mathematics, natural science, computing and engineering fundamentals, and an engineering specialisation, considering multiple perspectives and knowledge systems to develop solutions to complex engineering problems (WA1)</p><p>Create, select, apply, and recognize limitations of appropriate techniques, resources, and modern engineering and IT tools, including measurements, modelling and prediction, to solve complex engineering problems (WA5)</p><p>Use knowledge of mathematics, natural sciences and engineering principles, and research literature to identify, formulate, analyse and solve complex engineering problems and reach substantiated conclusions (WA2)</p><p>Conduct investigations of complex engineering problems using research methods, research-based knowledge, design of experiments, analysis and interpretation of data, and synthesis of information to provide valid conclusions (WA4)</p><p>Design creative solutions for complex engineering problems and design systems, components or processes to meet identified needs with appropriate consideration for public health and safety, whole-life cost, net zero carbon, as well as resource, cultural, societal, and environmental considerations as required (WA3)</p><p>Communicate effectively, respectfully and inclusively on complex engineering activities with the engineering community and with society at large, such as being able to comprehend and write effective reports and design documentation, make effective presentations, taking into account cultural, language, and learning differences using a range of technologies and formats (WA10)</p> </p> |
| 5 | <p>Apply induction and recursion principles to analysis of algorithms and proving simple mathematical statements (that involve integers).</p> | <p>BE(Hons) - Bachelor of Engineering (Honours) - Programme Capabilities <p>Apply knowledge of mathematics, natural science, computing and engineering fundamentals, and an engineering specialisation, considering multiple perspectives and knowledge systems to develop solutions to complex engineering problems (WA1)</p><p>Create, select, apply, and recognize limitations of appropriate techniques, resources, and modern engineering and IT tools, including measurements, modelling and prediction, to solve complex engineering problems (WA5)</p><p>Use knowledge of mathematics, natural sciences and engineering principles, and research literature to identify, formulate, analyse and solve complex engineering problems and reach substantiated conclusions (WA2)</p><p>Conduct investigations of complex engineering problems using research methods, research-based knowledge, design of experiments, analysis and interpretation of data, and synthesis of information to provide valid conclusions (WA4)</p><p>Design creative solutions for complex engineering problems and design systems, components or processes to meet identified needs with appropriate consideration for public health and safety, whole-life cost, net zero carbon, as well as resource, cultural, societal, and environmental considerations as required (WA3)</p><p>Communicate effectively, respectfully and inclusively on complex engineering activities with the engineering community and with society at large, such as being able to comprehend and write effective reports and design documentation, make effective presentations, taking into account cultural, language, and learning differences using a range of technologies and formats (WA10)</p> </p> |
| 6 | <p>Demonstrate mastery of basic mathematical results about properties of graphs.</p> | <p>BE(Hons) - Bachelor of Engineering (Honours) - Programme Capabilities <p>Apply knowledge of mathematics, natural science, computing and engineering fundamentals, and an engineering specialisation, considering multiple perspectives and knowledge systems to develop solutions to complex engineering problems (WA1)</p><p>Create, select, apply, and recognize limitations of appropriate techniques, resources, and modern engineering and IT tools, including measurements, modelling and prediction, to solve complex engineering problems (WA5)</p><p>Use knowledge of mathematics, natural sciences and engineering principles, and research literature to identify, formulate, analyse and solve complex engineering problems and reach substantiated conclusions (WA2)</p><p>Conduct investigations of complex engineering problems using research methods, research-based knowledge, design of experiments, analysis and interpretation of data, and synthesis of information to provide valid conclusions (WA4)</p><p>Design creative solutions for complex engineering problems and design systems, components or processes to meet identified needs with appropriate consideration for public health and safety, whole-life cost, net zero carbon, as well as resource, cultural, societal, and environmental considerations as required (WA3)</p><p>Communicate effectively, respectfully and inclusively on complex engineering activities with the engineering community and with society at large, such as being able to comprehend and write effective reports and design documentation, make effective presentations, taking into account cultural, language, and learning differences using a range of technologies and formats (WA10)</p> </p> |
| 7 | <p>Demonstrate mastery of the basics of finite automata (e.g. design automata recognizing the language of strings that contain the substring 'aba').</p> | <p>BE(Hons) - Bachelor of Engineering (Honours) - Programme Capabilities <p>Apply knowledge of mathematics, natural science, computing and engineering fundamentals, and an engineering specialisation, considering multiple perspectives and knowledge systems to develop solutions to complex engineering problems (WA1)</p><p>Create, select, apply, and recognize limitations of appropriate techniques, resources, and modern engineering and IT tools, including measurements, modelling and prediction, to solve complex engineering problems (WA5)</p><p>Use knowledge of mathematics, natural sciences and engineering principles, and research literature to identify, formulate, analyse and solve complex engineering problems and reach substantiated conclusions (WA2)</p><p>Conduct investigations of complex engineering problems using research methods, research-based knowledge, design of experiments, analysis and interpretation of data, and synthesis of information to provide valid conclusions (WA4)</p><p>Design creative solutions for complex engineering problems and design systems, components or processes to meet identified needs with appropriate consideration for public health and safety, whole-life cost, net zero carbon, as well as resource, cultural, societal, and environmental considerations as required (WA3)</p><p>Communicate effectively, respectfully and inclusively on complex engineering activities with the engineering community and with society at large, such as being able to comprehend and write effective reports and design documentation, make effective presentations, taking into account cultural, language, and learning differences using a range of technologies and formats (WA10)</p> </p> |