Module FOUN0277: CORE FOUNDATION MATHS 2

Department: Foundation Year [Queen's Campus, Stockton]

FOUN0277: CORE FOUNDATION MATHS 2

Prerequisites

• Extension Mathematics (FOUN0207) (or equivalent).

Corequisites

• None.

Excluded Combination of Modules

• None.

Aims

• To consolidate the basic concepts of Calculus in the Extension Mathematics module.
• to build on these concepts to include trigonometric and logarithmic functions.
• to introduce and develop understanding of a range of standard techniques for differentiation and integration.
• to improve confidence in algebraic manipulation through the study of additional mathematical techniques.

Content

• Factor Theorem for polynomials.
• differentiation of composite functions (chain rule) and of the sum, product or quotient of two functions.
• derivative of trigonometric and exponential functions.
• second derivatives of standard functions.
• integration of standard trigonometric functions (e.g. sin(squared)x, cos2x).
• the evaluation of integrals by using standard forms, by substitution, by partial fractions and by integration by parts.

Learning Outcomes

• By the end of the module the students will have acquired the skills to be able to:
• recall, select and use knowledge of appropriate integration and differentiation techniques as needed in a variety of contexts.
• confidently manipulate a range of algebraic expressions as required in problems appropriate to the syllabus.

• By the end of the module the students will:
• be able to communicate effectively in writing
• be able to apply number in the tackling of numerical problems
• be able to demonstrate problem solving skills

Modes of Teaching, Learning and Assessment and how these contribute to the learning outcomes of the module

• Theory, initial concepts and techniques will be introduced during lectures.
• Much of the learning, understanding and consolidation will take place through the use of structured worksheets during tutorials and students' own time.
• Ability to recall, select and use knowledge and to manipulate algebra will be tested by: a coursework portfolio containing students solutions to questions or tasks set by the tutor on a weekly basis.
• These tasks will include a number of short invigilated tests.
• an end of year exam.

Teaching Methods and Learning Hours

Summative Assessment

Formative Assessment:

Weekly self-testing units

■ Attendance at all activities marked with this symbol will be monitored. Students who fail to attend these activities, or to complete the summative or formative assessment specified above, will be subject to the procedures defined in the University's General Regulation V, and may be required to leave the University