LMATH4152 Calculus II for Science and Engineering Course Descriptor

Course Overview

Calculus II for Science and Engineering is a mathematics course intended for those studying natural sciences, engineering, finance or economics. The course continues from Calculus I for Science and Engineering. The following topics are presented with scientific or economic applications: Further integration; approximation of functions; applications; vectors; Euclidean spaces.

This course aims to provide a thorough grounding in the further techniques of integral calculus, function approximation and geometry.

Learning Outcomes

On successful completion of the course, students will be able to:

Knowledge and Understanding

Subject Specific Skills

Transferable and Professional/Employability Skills

Teaching and Learning

Teaching and learning strategies for this course will include:

A minimum of 36 contact hours, typically to include interactive group teaching, small group tutorials, and in-class presentations and exams.

Course information and supplementary materials are available on the University’s Virtual Learning Environment (VLE).

Students will receive individualised developmental feedback on their work for this course.

Students are required to attend and participate in all the formal and timetabled sessions for this course. Students are also expected to manage their directed learning and independent study in support of the course.

Assessment

Formative

Students will be formatively assessed through in-class activities, including quizzes, and during office hours. Set homework exercises will be assigned regularly, and will be tested in the exams. Students are expected to keep up with the set exercises in order to prepare for the exams.

Formative assessments are ones that do not count towards the final grade but will provide students with developmental feedback.

Assessment

Feedback

Students will receive feedback in a variety of ways: written (including via email correspondence); oral (within office hours or on an ad hoc basis) and indirectly through class discussion.

Feedback on examinations is provided through generic internal examiners’ reports and made available to students on the VLE. For all other summative assessment methods, feedback is made available to the student either via email, the VLE or another appropriate method.   

Indicative Reading

Note: Comprehensive and current reading lists for courses are produced annually in the Course Syllabus or other documentation provided to students; the indicative reading list provided below is used as part of the approval/modification process only.

• Calculus: Early Transcendentals, Metric Edition, 9th Edition, by James Stewart, Daniel K. Clegg, Saleem Watson. https://www.cengage.uk/c/isbn/9780357113516/

Indicative Topics

The following topics are included in the course:

• Numerical methods for integration
• Polynomial approximation to functions
• Taylor and Maclaurin series
• Polar coordinates
• Vectors, Euclidean spaces – lines, planes and hyperplanes

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