PAU Technical Drawing Applied to Plastic Arts (Cantabria) study plan

Construct perpendiculars, parallels, bisectors and angle transfers using only compass and straightedge, and verify each construction on a second sheet without erasing auxiliary lines

Divide a segment into n equal parts and draw proportional segments by Thales' theorem, applying both to a 3:5 ratio layout

Build a scale ladder for 1:2, 1:5, 1:20 and 1:50 and use it to measure a real object (a book, a chair) drawn at three different scales

Draft a clean A3 plate with title block, margin, lettering and line hierarchy (thick outline, thin auxiliary, dashed hidden) following standard conventions

Construct regular polygons (triangle, square, pentagon, hexagon, octagon) inscribed in a given circle and one given the side length, and compare both methods on the same plate

Draw tangent lines and arcs between circles and lines, and apply them to a simple ornamental rosette or logo mark

Analyse three reference works or designs and annotate the underlying proportional scheme (golden ratio, root rectangles, thirds) directly over photocopies or traced outlines

Compose a balanced layout on a 20x30 cm field using only geometric elements, and justify the placement of each element in a short written note

Set up a standard first-angle and third-angle layout and project a simple solid (prism, pyramid, cylinder) into front, top and side views with correct alignment and hidden lines

Solve ten point-line-plane problems: true length of a segment, true shape of a plane, intersection of a line with a plane, using change-of-plane or rotation methods

Determine the intersection curve between a cone and an inclined plane and identify the resulting conic section

Sketch freehand, without instruments, the three views of five everyday objects from direct observation

Construct isometric, dimetric and cavalier axonometric projections of the same object and compare how each distorts the perceived proportions

Derive the axonometric axes and reduction coefficients for isometric projection from first principles and verify them numerically

Draw the axonometric view of an object with inclined faces and circular features using the ellipse construction for isometric circles

Convert a given three-view drawing into an axonometric view, and reverse the process for a second object

Build a one-point interior perspective of a room from plan and elevation, correctly locating the station point, horizon line and measuring points

Construct a two-point perspective of a building corner or furniture piece using measuring points, and place at least three objects at different depths

Apply atmospheric and overlap cues to a perspective sketch to strengthen depth reading, and annotate the cues used

Critique three published illustrations or paintings for their use of perspective and composition, identifying vanishing points and compositional axes

Dimension a mechanical and an artistic object applying ISO conventions: extension lines, arrowheads, tolerances, radii, diameters and avoidance of redundant dimensions

Produce a complete technical sheet for a designed object: views, sections where needed, dimensioning, scale note, materials note and title block

Select and justify an appropriate scale for three different presentation contexts (product catalogue, gallery plan, construction detail)

Redraw a poor technical sheet, correcting at least eight convention or dimensioning errors and listing each correction

Develop a design concept from thumbnail sketches to a final presentable drawing, documenting the decision points at each stage

Produce a presentation board combining orthographic views, a perspective and an axonometric of the same design, with consistent line weights and typography

Analyse the visual weight, rhythm and hierarchy of your own board and revise it at least once based on that analysis

Write a concise design statement explaining form, proportion and functional decisions in technical vocabulary

Complete two full timed mock exams under exam conditions (construction, multiview, axonometric, perspective, dimensioning) and score them against a rubric you build from the syllabus

Compile a one-page error log of recurring mistakes and redo every exercise type in which you lost marks

Rehearse a 10-minute oral or written defence of one project, explaining the geometric and compositional reasoning behind each decision

Assemble a final portfolio ordered by domain with a cover index and consistent labelling