First Cycle - Mathematics

Definition

The Mathematics all scientists should know: basic algebra and arithmetic, linear algebra, calculus, basic differential equations, basic statistics and probability.

Sub skills
A student will:


 * show knowledge and understanding of basic concepts, principles, theories and results of mathematics;
 * understand and explain the meaning of complex statements using mathematical notation and language;
 * demonstrate skill in mathematical reasoning, manipulation and calculation;
 * construct rigorous proofs;
 * demonstrate proficiency in different methods of mathematical proof.
 * provide proofs of mathematical results not identical to  those known before but clearly related to them;
 * translate into mathematical terms problems of moderate difficulty stated in non-mathematical language, and take advantage of this translation to solve them;
 * solve problems in a variety of mathematical fields that require some originality;
 * build mathematical models to describe and explain non- mathematical processes.

Assessment
Current methods used to assess ability in the skill.

Benchmarks
Statements that could serve as comparators for ability.

Relevant Higher Order Skills
Mathematics