Expressing mathematics in English

2022/2023
Programme:
Practical Mathematics
Year:
1 year
Semester:
first and second
Kind:
optional
ECTS:
8
Language:
slovenian
Hours per week – 1. semester:
Lectures
2
Seminar
0
Tutorial
2
Lab
0
Hours per week – 2. semester:
Lectures
2
Seminar
0
Tutorial
2
Lab
0
Content (Syllabus outline)

Basic concepts:
Numbers and arithmetic, relations, geometry, algebra, logic, function
Rudimentary expressions:
description, explanation, proof
Comprehension of written mathematics:
popular mathematics, textbook, research paper
Writing mathematics:
combining words, symbols, and equations, grammar issues, organization, style
Special texts:
seminar paper, bachelor thesis
Basic concepts 2:
sequences and series, continuity, differential and integral calculus

Readings

Erwin Kreyszig, Herbert Kreyszig, Edward J. Norminton: Advanced engineering mathematics, 10th edition, J. Wiley & Sons, 2011.
Ulrich Daepp, Pamela Gorkin: Reading, writing, and proving : a closer look at mathematics, 2nd edition, Springer, 2011.
Robert Barrass: Scientists must write : a guide to better writing for scientists, engineers and students, Chapman and Hall, 1978.
Georg Glaeser: Geometry and its Applications in Arts, Nature and Technology, Springer Wien New York, Edition Angewandte, 2012.

Objectives and competences

Students get acquainted with the English terms for basic mathematical concepts. They learn the basics of expressing mathematics in English, study various types of mathematical texts, and learn how to create mathematical texts in English at university level.

Intended learning outcomes

Knowledge and understanding:
Knowledge of basic mathematical expressions in English. Reading comprehension and writing of mathematical texts in English.
Application:
A vast majority of the World’s mathematical literature is in the English language. For a mathematician, reading and writing in English is virtually unavoidable.
Reflection:
Integrating mathematical expression with expression in a foreign language.
Transferable skills:
Reading and writing in English.

Learning and teaching methods

Lectures, seminar, homework, consultations

Assessment

Written exam
grading: 5 (fail), 6-10 (pass) (according to the Statute of UL)

Lecturer's references

SMREKAR, Jaka. Homotopy type of mapping spaces and existence of geometric exponents. Forum mathematicum, ISSN 0933-7741, 2010, vol. 22, no. 3, str. 433-456. [COBISS-SI-ID 15638105]
SMREKAR, Jaka. Periodic homotopy and conjugacy idempotents. Proceedings of the American Mathematical Society, ISSN 0002-9939, 2007, vol. 135, no. 12, str. 4045-4055. [COBISS-SI-ID 14382681]
SMREKAR, Jaka, YAMASHITA, Atsushi. Function spaces of CW homotopy type are Hilbert manifolds. Proceedings of the American Mathematical Society, ISSN 0002-9939, 2009, vol. 137, no. 2, str. 751-759. [COBISS-SI-ID 14965849]
Nosilec University of Cambridge Certificate of Proficiency in English, University of Cambridge, June 1994.