Mathematics Y1 FY1007

Prerequisites

Upper secondary school mathematics (1 MY).

Course Objectives

Knowledge of basic rules of arithmetic and algebra.

Be able to solve simple equations and inequalities

Have an understanding of trigonometry and geometry

Be able to analyse the functions of a plane, among others things by using derivation

The course will provide students with a foundation that will enable them to progress with the course Mathematics Y2.

Course Description

Arithmetic and algebra: Calculation of fractions, parenthesis rules, factorisation, integer and rational exponents, square root expressions.

Equations and inequalities: First degree and quadratic equations with 1 and 2 unknowns, equation systems with several unknowns, equations of the third and fourth degree, factorisation of polynomials, factorisation of polynomials, polynomial division, irrational equations, sign schemes, single and double inequalities of the first and second degree.

Trigonometry and geometry: Definition of trigonometrical functions of angles less than 180˚, triangle calculations, area calculation rules, sine and cosine rules, calculation of area and volume, peripheral and central angles.

Functions: Linear functions, equation for a straight line, proportionality, reversed proportionality, second-degree functions, rational functions.

Derivation: Limit values, asymptotes, derivation of potential functions, basic derivation rules, derived functions of second degree, analysis of functions.

Learning Methods

5 hours of lectures and 5 hours exercises per week.

Assessment Methods

Two written mid-term tests which count for 50% and a written final examination (4 hours) which counts 50%. Both mid-term tests or the final examination must receive passing marks in order to receive a passing mark for the course.

Pensum