Module Details
The information contained in this module specification was correct at the time of publication but may be subject to change, either during the session because of unforeseen circumstances, or following review of the module at the end of the session. Queries about the module should be directed to the member of staff with responsibility for the module.
Title Introduction to Study and Research in Mathematics
Code MATH107
Coordinator Dr T Eckl
Mathematical Sciences
Thomas.Eckl@liverpool.ac.uk
Year CATS Level Semester CATS Value
Session 2023-24 Level 4 FHEQ First Semester 15

Aims

This module addresses what it means to be a mathematician, as an undergraduate and beyond that into academia or industry, and prepares students to succeed as such. It aims to:
- bridge the gap in language and philosophy between A-level and (more rigorous) University mathematics;
- equip students with the basic tools they need for their mathematical careers;
- enable students to take responsibility for their learning and become active learners;
- familiarise students with mathematics research as conducted within the department;
- build students' confidence in handling various forms of mathematical communication.

Learning Outcomes

(LO1) Foundational knowledge of objects, processes, logic and reasoning required for university level mathematics.

(LO2) Awareness of the nature of mathematics at University and beyond, and the implications of this for themselves.

(LO3) Demonstrate proactive engagement in the student's own learning.

(LO4) Development of skills for mathematical communication (including mathematics proofs).

Syllabus
 

- The practice of mathematics: undergraduate level, academia, industry
- Mathematical language and writing
- Logic, deduction and proof
- Core examples including
- Numbers: natural numbers, integers, rationals, reals, complex numbers
- Sets: set operations, cardinality, relations
- Functions: domain and range, injectivity and surjectivity
- Other examples drawn from areas of mathematics represented by the mathematics academic staff

Recommended Texts
Reading lists are managed at readinglists.liverpool.ac.uk. Click here to access the reading lists for this module.

Pre-requisites before taking this module (other modules and/or general educational/academic requirements):
 

Co-requisite modules:
 

Modules for which this module is a pre-requisite:
 

Programme(s) (including Year of Study) to which this module is available on a required basis:
 

Programme(s) (including Year of Study) to which this module is available on an optional basis:
 

Assessment
EXAM Duration Timing
(Semester)		 % of
final
mark		 Resit/resubmission
opportunity		 Penalty for late
submission		 Notes
             
CONTINUOUS Duration Timing
(Semester)		 % of
final
mark		 Resit/resubmission
opportunity		 Penalty for late
submission		 Notes
Electronically assessed blended learning, automatically assessed via an electronic assessment system (for example Möbius), consists of a test of basic skills (every topic needs to be mastered to pass)  0    0       
Portfolio of work  0    100