Introductory Engineering Mathematics
Queensland University of Technology
Area of Study
Aerospace Engineering, Civil Engineering, Computer Engineering, Electrical Engineering, Engineering Science, Mathematics, Mechanical Engineering, Systems Engineering
Taught In English
PrerequisitesGrade of at least Sound Achievement in Senior Mathematics B (or equivalent) or MAB105 or MZB101 is assumed knowledge
Course Level Recommendations
ISA offers course level recommendations in an effort to facilitate the determination of course levels by credential evaluators.We advice each institution to have their own credentials evaluator make the final decision regrading course levels.
Recommended U.S. Semester Credits3 - 4
Recommended U.S. Quarter Units4 - 6
Hours & Credits
OverviewSynopsis:This unit introduces to you the foundational mathematical concepts of function, matrix and vector algebra, together with the operations of differentiation and integration. Through the exploration and solution of contextualised problems you will develop an understanding of these mathematical concepts as well as competency in appropriate solution methods.Learning OutcomesOn successful completion of this unit you should be able to:
ContentThe major topics covered are elementary functions, their derivatives and integrals, the algebra of complex numbers, vectors and matrices.The elementary functions covered include polynomial, trigonometric, logarithmic and exponential functions. Their properties, the principle of composite functions, and the use of functions as representations of data are emphasised.The processes of differentiation and integration of elementary functions are introduced as ways to model simple problems for functions of one variable, including those defined parametrically. Techniques such as implicit differentiation, product and chain rules, and integration by substitution are all employed to solve contextualised problems.The algebras of complex numbers, vectors and matrices are covered, illustrating how each may be used in representations of systems in real-world applications.Where appropriate relevant mathematical software will be introduced to support and illustrate concepts covered in the content of this unit.Approaches to Teaching and LearningTeaching Mode:Large group lectures with interactive sessions - 2 hours per weekSmall group workshops - 2 hours per weekLearning approaches:The material presented will be context-based utilising examples from a range of real-world applications and purely mathematical scenarios. The emphasis will be on learning by doing, learning in groups and as individuals, written and oral communication, and developing skills and attitudes to promote life-long learning.You are expected to work in any lecture/workshop session times allocated and to consolidate the material presented during class by working a wide variety of exercises, problems and online learning activities in your own time.
- Demonstrate your knowledge of foundational mathematical concepts by interpreting, manipulating and solving mathematical expressions.
- Employ mathematical techniques to solve elementary problems provided in a particular engineering-related context.
- Demonstrate the implementation of relevant mathematical methods using appropriate mathematical notation.
Courses and course hours of instruction are subject to change.
Eligibility for courses may be subject to a placement exam and/or pre-requisites.
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Credits earned vary according to the policies of the students' home institutions. According to ISA policy and possible visa requirements, students must maintain full-time enrollment status, as determined by their home institutions, for the duration of the program.