Engineering
MA140: Engineering Calculus (5 ECTS)
Syllabus Outline:
Limits, continuity, intermediate value theorem, differentiation, logarithms. These tools are used to tackle verbally stated engineering problems involving rates of change and maxima and minima. Basic properties of integrals, Fundamental Theorem of Calculus, method of substitution, integration by parts, partial fractions and the logarithm rule. These tools are used to solve verbally stated engineering problems involving integration techniques.
Taught in Semester(s) I. Examined in Semester(s) I.
Workload: 48 hours (36 Lecture hours, 12 Tutorial hours).
Module Learning Outcomes.
On successful completion of this module the learner should be able to:
- evaluate and manipulate limits;
- determine points of discontinuity of functions of a single variable;
- evaluate and manipulate derivatives of functions of a single variable;
- tackle verbally stated engineering problems involving rates of change, maxima, minima, inflection points;
- evaluate integrals of functions of a single variable using substitution, integration by parts and partial fractions;
- evaluate integrals of functions of a single variable using the logarithm rule or the inverse function rule;
- calculate areas, volumes of revolution and lengths of curves using integration techniques;
- solve verbally stated engineering problems involving integration techniques.
Indicative Content
Syllabus Outline:
Limits, continuity, intermediate value theorem, differentiation, logarithms. These tools are used to tackle verbally stated engineering problems involving rates of change and maxima and minima. Basic properties of integrals, Fundamental Theorem of Calculus, method of substitution, integration by parts, partial fractions and the logarithm rule. These tools are used to solve verbally stated engineering problems involving integration techniques.
Module Resources
Syllabus Outline:
Limits, continuity, intermediate value theorem, differentiation, logarithms. These tools are used to tackle verbally stated engineering problems involving rates of change and maxima and minima. Basic properties of integrals, Fundamental Theorem of Calculus, method of substitution, integration by parts, partial fractions and the logarithm rule. These tools are used to solve verbally stated engineering problems involving integration techniques.
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