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MT1001 Introductory Mathematics

Academic year

2025 to 2026 Semester 1

Further information on which modules are specific to your programme.

Key module information

SCOTCAT credits

20

The Scottish Credit Accumulation and Transfer (SCOTCAT) system allows credits gained in Scotland to be transferred between institutions. The number of credits associated with a module gives an indication of the amount of learning effort required by the learner. European Credit Transfer System (ECTS) credits are half the value of SCOTCAT credits.

SCQF level

SCQF level 7

The Scottish Credit and Qualifications Framework (SCQF) provides an indication of the complexity of award qualifications and associated learning and operates on an ascending numeric scale from Levels 1-12 with SCQF Level 10 equating to a Scottish undergraduate Honours degree.

Planned timetable

9.00 am

This information is given as indicative. Timetable may change at short notice depending on room availability.

Module coordinator

Dr S Dimoudis

Dr S Dimoudis
This information is given as indicative. Staff involved in a module may change at short notice depending on availability and circumstances.

Module Staff

Dr Spyridon Dimoudis; Dr Aidan Naughton

This information is given as indicative. Staff involved in a module may change at short notice depending on availability and circumstances.

Module description

This module is designed to give students a secure base in elementary calculus to allow them to tackle the mathematics needed in other sciences. Students wishing to do more mathematics will be given a good foundation from which they can proceed to MT1002. Some of the work covered is a revision and reinforcement of material in Scottish Highers and many A-Level syllabuses.

Relationship to other modules

Pre-requisites

STUDENTS MUST HAVE HIGHER OR A-LEVEL MATHEMATICS (AS-LEVEL MATHEMATICS WITH APPROVAL OF HEAD OF SCHOOL)

Anti-requisites

YOU CANNOT TAKE THIS MODULE IF YOU HAVE PASSED ANY OF MT1003, MT2501-MT5999

Assessment pattern

2-hour Written Examination = 70%, Coursework = 30%

Re-assessment

2-hour Written Examination = 100%

Learning and teaching methods and delivery

Weekly contact

(5 lectures (x 10 weeks), 1 tutorial (x 5 weeks), 1 examples class (x 5 weeks))

Scheduled learning hours

60

The number of compulsory student:staff contact hours over the period of the module.

Guided independent study hours

145

The number of hours that students are expected to invest in independent study over the period of the module.

Intended learning outcomes

  • Solve standard algebraic, trigonometric, logarithmic, and exponential equations and inequalities
  • Appreciate key concepts of university mathematics, such as algebraic manipulation, finite and infinite series, and geometry in the plane
  • Analyse the behaviour of elementary functions of one variable, including detailed function graphing
  • Differentiate elementary functions and apply differential calculus to some practical problems
  • Have a firm knowledge of integral calculus and some facility with techniques of integration

MT1001 Introductory Mathematics

Academic year

2026 to 2027 Semester 1

Further information on which modules are specific to your programme.

Key module information

SCOTCAT credits

20

The Scottish Credit Accumulation and Transfer (SCOTCAT) system allows credits gained in Scotland to be transferred between institutions. The number of credits associated with a module gives an indication of the amount of learning effort required by the learner. European Credit Transfer System (ECTS) credits are half the value of SCOTCAT credits.

SCQF level

SCQF level 7

The Scottish Credit and Qualifications Framework (SCQF) provides an indication of the complexity of award qualifications and associated learning and operates on an ascending numeric scale from Levels 1-12 with SCQF Level 10 equating to a Scottish undergraduate Honours degree.

Planned timetable

9.00 am

This information is given as indicative. Timetable may change at short notice depending on room availability.

Module Staff

TBD

This information is given as indicative. Staff involved in a module may change at short notice depending on availability and circumstances.

Module description

This module is designed to give students a secure base in elementary calculus to allow them to tackle the mathematics needed in other sciences. Students wishing to do more mathematics will be given a good foundation from which they can proceed to MT1002. Some of the work covered is a revision and reinforcement of material in Scottish Highers and many A-Level syllabuses.

Relationship to other modules

Pre-requisites

STUDENTS MUST HAVE HIGHER OR A-LEVEL MATHEMATICS (AS-LEVEL MATHEMATICS WITH APPROVAL OF HEAD OF SCHOOL)

Anti-requisites

YOU CANNOT TAKE THIS MODULE IF YOU HAVE PASSED ANY OF MT1003, MT2501-MT5999

Assessment pattern

2-hour Written Examination = 70%, Coursework = 30%

Re-assessment

2-hour Written Examination = 100%

Learning and teaching methods and delivery

Weekly contact

(5 lectures (x 10 weeks), 1 tutorial (x 5 weeks), 1 examples class (x 5 weeks))

Scheduled learning hours

60

The number of compulsory student:staff contact hours over the period of the module.

Guided independent study hours

145

The number of hours that students are expected to invest in independent study over the period of the module.

Intended learning outcomes

  • Solve standard algebraic, trigonometric, logarithmic, and exponential equations and inequalities
  • Appreciate key concepts of university mathematics, such as algebraic manipulation, finite and infinite series, and geometry in the plane
  • Analyse the behaviour of elementary functions of one variable, including detailed function graphing
  • Differentiate elementary functions and apply differential calculus to some practical problems
  • Have a firm knowledge of integral calculus and some facility with techniques of integration

Additional information from school

For guidance on module choice at 1000-level in Mathematics and Statistics see our Module choices at 1000 and 2000 level page.

Syllabus:

  • Basic properties of real numbers (number types, intervals, inequalities)
  • Basic algebra (including algebraic equations, polynomial division, algebraic inequalities, partial fractions)
  • Functions (domain and range, odd and even, one to one, function composition, inverse functions)
  • Series (definitions, arithmetic and geometric series, binomial series)
  • Exponential and logarithm (including expressions in different bases, solving equations involving exp and log)
  • Trigonometry (basic functions, inverse functions, trigonometric identities, solving trigonometric equations)
  • Limits and continuity
  • Curve sketching
  • Geometry: straight lines and circles
  • Vectors (introduction, position vectors, unit vectors, scalar product)
  • Differentiation (introduction, derivatives of elementary functions, rules for calculating derivatives, implicit differentiation)
  • Integration (introduction, connection with differentiation, integrals of elementary functions, techniques of integration).