Module FOUN0207: CORE FOUNDATION MATHS 1

Department: FOUNDATION YEAR [Queen's Campus, Stockton]

FOUN0207: CORE FOUNDATION MATHS 1

Prerequisites

• None.

Corequisites

• None.

Excluded Combination of Modules

• None.

Aims

• To improve confidence in algebraic manipulation through the development of investigative skills.
• to introduce and develop a knowledge of logarithms and their uses.
• to introduce the concept of calculus.

Content

• Patterns and Functions:
• solution of quadratic equations using factorisation, graphs, quadratic formula
• patterns of Pascals triangle
• formulae for nth term in a sequence
• investigations into various number patterns and sequences
• Indices and Logarithms:
• laws of indices and logarithms
• solution of equations of the form ax=b
• concept of a linear relation
• reduction of a given relation to linear form and graphical determination of constants
• Introduction to Calculus:
• concept of rate change
• recognition of increasing and decreasing functions
• differentiation of simple algebraic polynomials
• Binomial expansion of (a+b)(to the power n) for positive integer n

Learning Outcomes

• By the end of the module students will have acquired the knowledge to be able to:
• confidently manipulate a range of algebraic expressions as needed in a variety of contexts.
• use logarithms to solve problems and to predict relationships from graphs.
• differentiate and integrate a simple algebraic polynomial.

• By the end of the module students will have acquired the skills to be able to:
• confidently manipulate a range of algebraic expressions as needed in a variety of contexts.
• use logarithms to solve problems and to predict relationships from graphs.
• differentiate and integrate a simple algebraic polynomial.

• By the end of the module the students will:
• be able to apply number in the tackling of numerical problems
• have improved their own learning and performance
• be able to demonstrate problem solving skills
• be able to communicate effectively in writing

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 and demonstrations.
• Much of the learning, understanding and consolidation will take place through the use of structured exercise during sessions and students own time.
• Manipulative skills and ability to use and apply mathematics including calculus will be assessed by three tests
• Logarithms and prediction of relationships from graphs will be consolidated and assessed within a coursework task.

Teaching Methods and Learning Hours

Summative Assessment

Formative Assessment:

Self-testing units and investigation coursework

■ 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