Canary Islands PAU Technical Drawing Applied to Plastic Arts & Design II study plan

Construct the five standard loci (circumferences, perpendicular bisector, angle bisector, parabola from focus-directrix, ellipse from focal radii) from written specifications in under 20 minutes each

Derive ellipse, parabola and hyperbola as conic sections by cutting a cone with planes at varying inclinations, labelling vertices, foci and axes on each resulting curve

Draw a tangent and normal to a circle, ellipse and parabola from an external point using only compass and straightedge, showing construction arcs

Solve 6 PAU-style tangent problems (circle-circle, line-circle, circle tangent to two lines) with full construction lines retained

Determine true length and true angle of an oblique segment by the right-triangle and rotation methods across 8 exercises

Find the intersection point of a line with a plane and the intersection line of two planes, using both auxiliary-plane and change-of-plane approaches

Apply the theorems of perpendicularity (line perpendicular to plane, plane perpendicular to plane) to construct a plane through a point normal to a given line

Convert a given 3D description into dihedral projections with correct quadrant conventions and notation

Obtain the true shape of a section of a polyhedron by an oblique plane using change of plane and abatement (abatimiento)

Construct the intersection curve of a cone and a cylinder, and of a sphere with a cylinder, marking visible and hidden portions

Develop the lateral surface of a truncated prism and a truncated cylinder, checking the development by re-folding measurements

Draw the three standard views plus a section view of a simple machine part, applying hidden-line conventions correctly

Construct the five regular polyhedra in axonometric projection and state their edge/face/vertex counts

Build an isometric and a dimetric axonometric of an object from its three orthographic views, applying the coefficient of reduction correctly

Draw a one-point and a two-point perspective of a simple furniture form using the method of vanishing points and measuring points

Place a design object in a perspective scene with a chosen station point and horizon to control apparent scale

Dimension 5 drawings applying ISO conventions: no repeated dimensions, correct arrowheads, leaders, and placement of diameters, radii and chamfers

Compute and apply reduction and enlargement scales, including diagonal scale construction for a non-standard scale such as 1:25

Produce a drawing with a broken-out section, a half section and a removed section, each labelled per standard

Identify and correct 10 deliberate notation errors in supplied drawings (surface finish, tolerances, centre lines)

Design a modular grid system for an A3 poster and justify column, gutter and margin choices against content hierarchy

Set a typographic hierarchy of three levels (title, subhead, body) choosing typeface, size ratio and tracking with a stated rationale

Design a pictogram set of 4 icons on a consistent grid and stroke weight, testing legibility at reduced size

Analyse the compositional structure (balance, alignment, contrast, negative space) of three signage systems and propose improvements

Ideate a designed object or small space from a written brief, producing at least 15 thumbnail sketches before selecting one direction

Develop the chosen idea through iterative sketches showing proportion, ergonomics and material decisions

Produce the technical documentation: dimensioned views, an axonometric or perspective rendering, and a component list

Write a concise project memory (memoria) covering brief, concept, technical decisions and references

Complete two full timed mock exams of the PAU format (geometry, descriptive geometry, normalisation, perspective) under exam conditions

Score each mock against the official weighting and list the three weakest recurring error types

Re-drill those three error types with 10 targeted constructions each

Finalise a one-page formula and convention sheet (tangency rules, scale formulae, dimensioning checklist) for last-minute review