Entry requirements

Mathematics E

Learning outcomes

The course is a basis for further studies in Mathematics. On completion of the course, the student should be able to

• use the computer systems that are required for the introductory courses within the Bachelor Programme in Mathematics and be able to apply the rules that apply to use the IT-systems of the university;
• communicate, search and find information via Internet;
• account for basic concept and definitions for numbers (also complex) and polynomial, and be able to count with these;
• account for the exponential and logarithm functions, master the power and logarithm laws and be able to solve simple equations containing these;
• solve simple combinatorial problems and use the binomial theorem;
• carry out inductive proofs in simple cases;
• account for the definitions of the trigonometric functions and be able to some important trigonometric formulae, and be able to solve trigonometric equations;
• use the coordinate concept and the equations of the line and the circle.

Content

The course consists of the following three subparts.

Computer introduction (1 credit): Basic operations and everyday situations that include the local UNIX systems UpUnet-S and e-mail. Information retrieval and communication on Internet, inter alia using web pages that are important for the studies. Ethical rules and safety for the use of computer networks and databases. File management. Applications. Knowledge of the possibility to work externally, e.g. from home.

Seminars (1 credit): Information about one of the subareas of the Mathematics and their different application fields and about the labour market for Mathematicians.

Basic Skills in Mathematics (3 credits): Arithmetic for rational and actual numbers, differences, absolute values. Permutations and combinations. The binomial theorem. Induction. Polynomial: factorisation, long division and square supplementary qualification, simple algebraic equations. Complex numbers: common case and polar form, the complex number plane, quadratic equations and binomial equations. The function concept. Elementary functions: the exponential function, the logarithm (in different bases) with logarithm laws and trigonometric functions. Trigonometric formulae. Simple exponential, logarithmic and trigonometric equations. Coordinate systems in planet. The distance formula. Equations for the line and the circle in planet. The equations of the ellipse, the hyperbola and the parabelns on normal form.

Instruction

Seminars, lectures and teaching sessions.

Assessment

A passing grade in the entire course requires passed presentations on prescribed assignments within the part Computer introduction (1 credit), active participation in Seminars and lectures within the part seminars (1 credit), and approved examination within the part Basic Skills in Mathematics (3 credits). When all parts are passed, the course certificate is decided by the examination result on the part Basic Skills in Mathematics.

Other directives

The course can not be included in higher education qualification together with Basic Course in Mathematics.