SSST Subjects

MATH150 Calculus L4


Programme(s) where module is offered

  • BSc Computer Science with Electrical Engineering;
  • BSc Computer Science with Economics;
  • BSc Computer Science with Management;
  • BSc Computer Science with International Relations;
  • BSc Computer Science with Political Science;
  • BSc Information Systems with Electrical Engineering;
  • BSc Information Systems with Economics;
  • BSc Information Systems with Management;
  • BSc Information Systems with International Relations;
  • BSc Information Systems with Political Science;

Status (core, option, free choice)



FHEQ Level



Unit Value



Semester taught



Pre-Requisite Modules or Qualifications



Module Code



Module coordinator

Dr. Mirna Udovicic


Applicable From



Educational Aims of the Module

  • Math150 covers the classical topics in calculus and analysis taught to beginning engineering and science students;
  • These include limits and continuity, differentiation and applications, integration and techniques of integration;
  • The students will be taught formal definitions as well as statements and simpler proofs of some classical theorems, but the majority of the time will be spent on solving problems and developing problem solving techniques.

Module Outline/Syllabus

  • Review of basic functions
  • Continuous functions
  • Derivatives
  • Rules of differentiation
  • Infinite limits, asymptotes
  • Local extrema, max/min on closed interval
  • Rolle's Theorem, Mean Value Theorem
  • First and Second Derivative Test
  • Function graphing
  • Riemann integral
  • Fundamental Theorem of Calculus
  • Techniques of Integration
  • Area under a curve, between curves

Student Engagement Hours

Type Number per Term Duration Total Time
Lectures 30 2 hours 60 hours
Tutorials 15 2 hours 30 hours
Total Guided/Independent Learning Hours 110
Total Contact Hours 90
Total Engagement Hours 200

Assessment Method Summary

Type Number Required Duration / Length Weighting Timing / Submission Deadline
Assignment + Quiz 12 300 words / 30 minutes 20% Throughout the semester
Mid-term exam 1 90 minutes 20% Mid-semester
Test 2 60 minutes 10% Weeks 7, 14
Final Exam 1 180 minutes 50% End of semester

Module Outcomes

Intended Learning Outcomes:

  • Recognise continuous functions, find discontinuities of functions
  • Find limits (finite or infinite) from definition and using rules
  • Find derivatives of functions from definition and using rules of differentiation
  • Find local/global extrema of Functions
  • Use first and second derivatives to discuss monotonicity/concavity of functions
  • Find asymptotes and sketch detailed graphs of functions
  • Have some familiarity with Riemann sums, the definition of Riemann Integral
  • Use standard integration techniques (substitution, integration by parts, integration of rational functions etc.)
  • Find areas of regions in the plane using definite integrals.

Teaching and Learning Strategy:

  • Lectures (ILO: 1-9)
  • Tutorials and discussions emphasising a large number of problems related to the material covered in lectures (ILO: 1-9)
  • Guided independent study (ILO: 1-9)

Assessment Strategy:

  • Mid-term exam (ILO: 1-5)
  • Final Exam (ILO: 1-9)
  • Assignment + Quiz (ILO: 1-9)
  • Test (ILO:1-9)

Practical Skills:

  • Ability to apply theoretical concepts in solving programming problems
  • Ability to intelligently apply mathematical solutions in both written and verbal formats
  • Ability to discuss and articulate accurately on basic design issues

Teaching and Learning Strategy:

  • Tutorials (PS:1-3)
  • Use of quizzes to test student subject knowledge (PS:1-3)
  • Lectures and tutor support (PS:1-3)

Assessment Strategy:

  • Mid-term exam (PS:2)
  • Final exams (PS:1-3)
  • Assignment + Quiz (PS:1-3)
  • Test (PS:1-3)

Transferable Skills:

  • Problem solving skills
  • Communication skills
  • Presentation skills
  • Numeracy skills

Teaching and Learning Strategy:

  • Tutorials (TS:1-4)
  • Lectures and tutor lead group exercises (TS:1-4)

Assessment Strategy:

  • Mid-term exam (TS: 1, 4)
  • Final exams (TS:1, 4)
  • Assignment + Quiz (TS:1 - 4)
  • Test (TS:1, 4)

Key Texts and/or other learning materials

Set text

  • Stewart, J., (2015), Calculus, Early Transcendentals, 8th Edition, Wiley

Supplementary Materials

  • Adams, R., (2013), Calculus: A Complete Course, 8th Edition, Prentice Hall
  • University of California San Diego, (2015), Calculus Podcasts, [online], (Accessed 30 November 2015)
  • Spivak, M., (2006), Calculus, 3rd Edition, Cambridge University Press
  • Ostaszewski, A., (1991), Advanced Mathematical Methods, Cambridge University Press
  • Binmore, K., Davies, J., (2011), Calculus: Concepts and Methods, 2nd Edition, Cambridge University Press

Please note

This specification provides a concise summary of the main features of the module and the learning outcomes that a typical student might reasonably be expected to achieve and demonstrate if he/she takes full advantage of the learning opportunities that are provided.

More detailed information on the learning outcomes, content and teaching, learning and assessment methods of each module and programme can be found in the departmental or programme handbook.

The accuracy of the information contained in this document is reviewed annually by the University of Buckingham and may be checked by the Quality Assurance Agency.

Date of Production : Autumn 2016

Date approved by School Learning and Teaching Committee: 28th September 2016

Date approved by School Board of Study : 12th October 2016

Date approved by University Learning and Teaching Committee: 2nd November 2016

Date of Annual Review: December 2017


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