Mathematicians seek out patterns 9 10 and use them to formulate new conjectures Mathematicians resolve the truth or falsity of conjectures by mathematical proof When mathematical structures are good models of real phenomena, then mathematical reasoning can provide insight or predictions about nature. The mathematical fields of potential interest at EPFL are diverse, thus underlining the need to maintain strong research groups across the range of fundamental and applicable mathematics; the resulting interactions can stimulate fundamental and applied mathematical research, as well as being of direct benefit to other domains.
Al-Karaji was the first to use the method of proof by mathematical induction to prove his results, by proving that the first statement in an infinite sequence of statements is true, and then proving that, if any one statement in the sequence is true, then so is the next one.
Christian mathematics seeks to keep mathematics connected to creation and daily reality while encouraging the student in their knowledge of God, experience in being led by His spirit (Romans 8:14 ), and discerning the times through illustrations of philosophy and truth in mathematics.
To a large extent, students and many of their teachers tend to define mathematics in terms of what they learn in math courses, and these courses tend to focus on #3. The instructional and assessment focus tends to be on basic skills and on solving relatively simple problems using these basic skills.
If you are a graduate with a Mathematics degree, or even with a strong Mathematical component to your degree, you will be a valuable person in today’s workforce, with a qualification that appeals to a wide range of employers including banks, insurance companies, schools and government departments.