PJW Technical Services can provide personal academic tuition that can be one-to-one, or in small groups.  Tuition can be carried out on a personal face-to-face basis with students, or remotely through Zoom or Microsoft Teams.

The basis of the services offered is built on a working lifetime of using mathematics for university research & teaching, along with a long career in the engineering industry.  The range of maths & related subjects & levels offered covers school (Key Stage 3, GCSE to Advanced Level) to university structural engineering (levels BEng, MEng to Masters). 

Mathematics -- Key Stage 3 Level

Tuition closely follows the provisions set out in: Statutory guidance. National curriculum in England: mathematics programmes of study.

Mathematics -- GCSE Level

Tuition can follow the specifications for the following boards:
Students can choose which board is relevant to them for examination preparation & past paper practice. 
Mathematics tuition for KS3 & GCSE will be geared towards the general principals underlying the six fundamental subjects of Number; Algebra; Ratio, proportions & rates of change; geometry & measures; probability & statistics.
The aim is for students to:
Develop fluency in fundamental mathematics through varied & frequent practice, increasing complexity over time, so that conceptual understanding, ability to recall, & apply knowledge rapidly & accurately. develop.
Develop mathematical reasoning: following a line of enquiry, conjecturing relationships & generalisations, & develop an argument, justification or proof using mathematical language.
Encouraging problem solving: applying mathematics to a variety of routine and non-routine problems with increasing sophistication.

Mathematics -- AS-, A- & Further Levels

Tuition follows the specifications for the following examination boards:
  • AQA  -- AS- (7356) & A-level (7357) Mathematics
  • EdExcel -- AS- (8MA0), A- (9MA0), Further AS- (8FM0) & Further A- (9FM0) levels Mathematics
  • OCR -- 
    • Specification A, AS- (H230), A- (H240), Further AS- (H235) & Further A- (H245) levels;
    • Specification B (MEI), AS- (H630), A- (H640), Further AS- (H635) & Further A- (H645) levels.
General tuition will be geared towards the underlying subject areas common to these three boards at AS & A Level. Students can, however, choose which board is relevant to them for examination preparation & past paper practice.  In addition, tuition in some subject areas in Further Mathematics may be available,

University Structural Engineering --
BEng/MEng level


The focus is on theory of structures & structural analysis.  Content will depend on the syllabus being followed by an individual student, but tuition can be tailored to a student's particular requirements.  The subjects that can be covered include:
  • Structural principles
  • Statically determinate structures
  • Elastic deformations of structures
  • Statically indeterminate structures
  • Stress & elementary elasticity
  • Buckling
  • Plastic (collapse) analysis
  • Introductory structural dynamics
  • Introduction to finite element (FE) analysis

University Structural Engineering --
Masters level


The focus is on the more advanced aspects of theory of structures & structural/stress analysis that would form part of a masters course in structural engineering. Content will depend on the syllabus being followed by an individual student, but tuition can be tailored to a student's particular requirements. The subjects that can be covered include:
  • Indeterminate structures
  • Theory of elasticity
  • Principles of elastic stability