Requirements/prerequisites:
Duration: 12 weeks (first semester)
Number of lectures per week: 3 lectures and 1 tutorial per week.
Assessment: The Course grade will be a maximum of 20% Assignments, 20%
Midterm and
60% Final Exam and 100% Final Exam.
End-of-year Examination: 2 hour end of year examinaition.
Description:
Engineering Mathematics I is a half year course taken by all Junior Freshman Engineering students. It starts the calculus of functions of one real variable, formalising and building on Leaving Certificate mathematics. The course emphasises both theoretical foundations of calculus and application of mathematical methods and is intended to enable students to recognise mathematical structures in practical problems, to translate problems into mathematical language and to apply differentiation and integration to solve them.
Learning outcomes Upon completion of this course, students will be able to:
recognise mathematical structures in practical problems, translate problems into mathematical language, and analyse problems using methods from one-dimensional calculus;
Course content
functions: definition, domain and range, operations with functions, inverse function, graphs, notions of; rational, algebraic, and trigonometric functions;
Teaching strategies The teaching strategy is a mixture of lectures and problem-solving tutorials. The format of lectures is conventional, however, the atmosphere is informal, and interaction and discussion is normal. Students are encouraged to ask questions in the lectures. In the tutorials, the students work on problems to practice and apply the methods introduced in the lectures. Discussion of problems in small groups is encouraged and facilitated.
Textbooks:
Calculus: Late Transcendentals Single Variable, 8th Edition
Howard Anton, Irl Bivens, Stephen Davis
ISBN: 0-471-728608
John Wiley & Sons.
Nov 7, 2008