Mathematical Methods I Course Descriptor

Course Overview

Mathematical Methods I is a calculus course intended for those studying natural sciences, engineering, Finance ,Business or Economics. The following topics are presented with scientific or economic  applications: Differentiation; Elementary functions; Integration; Fundamental Theorem of Calculus.

This course will build the foundations for further study in mathematical methods and enable students to continue to higher levels of study in the subjects above.

Learning Outcomes

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

Knowledge and Understanding

Subject Specific Skills

Transferable and Employability Skills

Teaching and Learning

This course has a dedicated Virtual Learning Environment (VLE) page with a syllabus and range of additional resources (e.g. readings, question prompts, tasks, assignment briefs, discussion boards) to orientate and engage students in their studies.

The scheduled teaching and learning activities for this course are:

Lectures/seminars/labs/studios/workshops

40 scheduled hours – typically including induction, consolidation or revision, and assessment activity hours.

• Version 1:all sessions in the same sized group

OR

• Version 2: most of the sessions in larger groups; some of the sessions in smaller groups

Faculty hold regular ‘office hours’, which are opportunities for students to drop in or sign up to explore ideas, raise questions, or seek targeted guidance or feedback, individually or in small groups. 

Students are to attend and participate in all the scheduled teaching and learning activities for this course and to manage their directed learning and independent study.

Indicative total learning hours for this course: 150

Assessment

Both formative and summative assessment are used as part of this course, with purely formative opportunities typically embedded within interactive teaching sessions, office hours, and/or the VLE.

Summative Assessments

Further information about the assessments can be found in the Course Syllabus.

Feedback

Students will receive formative and summative feedback in a variety of ways, written (e.g. marked up on assignments, through email or the VLE) or oral (e.g. as part of interactive teaching sessions or in office hours).

Indicative Reading

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

• Worldwide differential calculus by David B. Massey. PDF and printed versions may be purchased at: http://www.centerofmath.org/textbooks/calc1/index.html
• Short Calculus by Serge Lang, Springer – Undergraduate Texts in Mathematics (2001).

Indicative Topics

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

• Differentiation of elementary functions
• Rates of change, extrema and the Mean Value Theorem
• Parametric curves
• Indefinite integration, definite integration and the Fundamental Theorem of Calculus