All five lectures explained, the points the professor flagged for the exam, and written practice questions in the exam's format: explain, draw, list. Lara ⭐
For-profit and non-profit organizations both exist to deliver value to customers or stakeholders, who in return keep them alive. Porter's value chain shows how a firm creates that value:
| Permanent work (operation) | Temporary work (project) | |
|---|---|---|
| Lecture example | Making chocolate: cocoa pods → beans → fermentation → drying → roasting → shelling → grinding → sterilization → mill → conching → chocolate | Developing a new chocolate: experimenting with kadayıf, pistachio paste, tahini, coconut oil, white chocolate → Dubai chocolate |
| Duration | Repeats every day | Has a start and an end |
| Output | The same product | A unique new product |
A project is a “temporary endeavor” to create value through unique products, services and processes. Projects have a team, a budget, a schedule and a set of expectations the team must meet. Tasks are carried out as work over a period of time and lead to a unique result.
The course covers both. They use different methods and answer different questions.
| Project development | Project management | |
|---|---|---|
| Used for | Developing a project idea, prototyping it and testing its performance or quality with customers | Implementing the project, considering resources, time scale, budget and all business and commercial issues |
| Method | Design Thinking: Empathize → Define → Ideate → Prototype → Test | PM life cycle: Initiation → Planning → Execution → Monitoring & Control → Closure |
| Question | What and why? | How and when? |
| Role | Researches, plans and completes the project; involved from the very start; ensures compliance with local, national and international regulations; raises financing from investors | Oversees day-to-day operation; manages workforce, budget and timeline; works closely with the developer; solves problems with crew, materials or equipment; monitors deadlines, safety and workmanship |
Project management is centuries old (pyramids, Great Wall, Taj Mahal). After the mid-20th century it became a formal discipline with guides and tools: Gantt chart, CPM, PERT, WBS, risk management, Waterfall, Agile.
| Year | Milestone |
|---|---|
| 2570 BC | Great Pyramid of Giza completed |
| 208 BC | Great Wall of China |
| 1917 ★ | Henry Gantt: the Gantt chart |
| 1931 | Hoover Dam project |
| 1956 | American Association of Cost Engineers (AACE) formed |
| 1957 ★ | Critical Path Method (CPM), DuPont |
| 1958 ★ | PERT, US Navy Polaris project |
| 1962 ★ | US Department of Defense mandates the WBS |
| 1965 ★ | IPMA founded |
| 1969 ★ | PMI launched |
| 1975 ★ | PROMPTII (Simpact Systems); Brooks, The Mythical Man-Month |
| 1984 | Theory of Constraints (Goldratt, The Goal) |
| 1986 | Scrum named as a management style |
| 1987 ★ | PMBOK Guide published by PMI |
| 1989 ★ | PRINCE developed from PROMPTII; Earned Value Management elevated |
| 1994 | First CHAOS report on project failures |
| 1996 ★ | PRINCE2 released (CCTA) |
| 1997 ★ | Critical Chain Project Management (CCPM) |
| 1998 ★ | PMBOK becomes an ANSI standard |
| 2001 | Agile Manifesto |
| 2006 / 2008 / 2009 | AACE Total Cost Management; PMBOK 4th ed.; PRINCE2 major revision |
| 2012 ★ | ISO 21500:2012 guidance on project management; PMBOK 5th ed. |
★ = marked with a red dot by the professor. Two schools came out of this history: PMI (USA: PMI → PMBOK → ANSI → ISO 21500, certificate PMP) and PRINCE (UK: PROMPTII → PRINCE → PRINCE2, certificate PRINCE2 Practitioner).
| Good PM | Poor PM |
|---|---|
| Meets business objectives and stakeholder expectations; more predictable; higher chance of success; right product at the right time; resolves problems; responds to risks in time; optimal use of resources; identifies, recovers or terminates failing projects; manages constraints; balances trade-offs; manages change better | Missed deadlines, cost overruns, poor quality, rework, uncontrolled expansion of the project (scope creep), loss of reputation, unsatisfied stakeholders, failure to achieve objectives |
OPM (Organizational Project Management) is the framework that integrates portfolio, program and project management with organizational enablers to achieve strategic objectives: strategy → portfolio (value decisions) → programs and projects (deliver results) → operations (business value realized), with feedback back to strategy.
Projects can sit in a functional organization (team reports to functional managers), a project-oriented / projectized one (team reports to project managers) or a matrix (team members report to both).
| Functional | Weak matrix | Balanced matrix | Strong matrix | Projectized | |
|---|---|---|---|---|---|
| PM authority | Little or none | Low | Low–moderate | Moderate–high | High–almost total |
| Resource availability | Little or none | Low | Low–moderate | Moderate–high | High–almost total |
| Who manages the budget | Functional manager | Functional manager | Mixed | Project manager | Project manager |
| PM role | Part-time | Part-time | Full-time | Full-time | Full-time |
| PM admin staff | Part-time | Part-time | Part-time | Full-time | Full-time |
Spheres of influence: the project (lead the team to objectives), the organization (work well with other PMs), the industry (follow trends), professional discipline (keep learning, transfer knowledge) and across disciplines (explain the value of PM to other professionals).
PMI Talent Triangle: technical project management · leadership · strategic and business management.
| Management (direct from A to B with known behaviours) | Leadership (guide from A to B through discussion) |
|---|---|
| Uses positional power; maintains; administers; focuses on systems and structure; relies on control; short-term goals; asks how and when; focuses on the bottom line; accepts the status quo; does things right; operational issues and problem solving | Uses relational power; develops; innovates; focuses on relationships; inspires trust; long-term vision; asks what and why; focuses on the horizon; challenges the status quo; does the right things; vision, alignment, motivation, inspiration |
Both are needed. In the course framework, the actual engineering and technology work (ask → imagine → design → improve) happens inside the Executing phase; project management is the frame around it.
Two points from the framework drive this lecture: the high-level decision and approval before Initiation (business case, charter) and the engineering and technology development work inside Execution (development methodologies).
TÜBİTAK runs many project types: method, technology, model, facility, software, product, process, system and platform development; proposal preparation; feasibility and characterization studies; data analysis; training; consultancy; certification; pre-production; field service; standard development. The lecture focuses on technology development and product development.
Projects are placed on two axes: value presented (pre-analysis → technology development → product → process → system/facility → production → facility monitoring/inspection → field service → training/consultancy) and resources used (know-how → personnel → equipment → reliability/brand name → independent authority → location → legal requirements).
Each field (construction, facility, technology, software, process and service, product) has its own methodology. Every stage ends with a milestone where the team stops, reviews and evaluates performance before continuing (a phase gate).
| Type | Stages and steps | Starts from |
|---|---|---|
| Technology development | C Concept: C1 functional structure, C2 concept development, C3 functional model, C4 proof of concept, C5 critical parameters, C6 robust model → M1 F Feasibility: F1 subsystem test setup, F2 testing & optimization, F3 system test setup, F4 tolerance design planning → M2 R Readiness: R1 tolerance optimization, R2 system test setup preparation, R3 verification tests → M3 | A physical working principle |
| Product development (e-scooter) | C Concept: C1 voice of customer & specifications, C2 concept generation & selection, C3 subsystem specifications → M1 D Design: D1 subsystem design, D2 part design → M2 R Readiness: R1 system verification, R2 preparation, R3 pilot production → M3 | Voice of the customer |
| Service development (gym) | P Planning: business strategy, new service strategy, idea generation, concept development & evaluation, business analysis → M1 I Implementation: service development & testing, market testing, commercialization, post-launch review → M2 | Business strategy |
| Construction (house) | 10 milestones: site & foundation, rough framing, siding/roofing/rough plumbing-electrical-HVAC, insulation, drywall & interior fixtures, trim & exterior walkways, hard flooring & grading, mechanical trim & bathroom fixtures, mirrors & landscaping, final walk-through | The site |
Technology is the use, application or knowledge of physical or chemical principles or methods to perform a certain function. A product is an object that uses a technology to ideally meet market needs or wants (high quality, low cost…).
A function is written as verb + noun: measure flow, heat the room, sense speed.
| Flowmeter technology | Working principle | Energy chain |
|---|---|---|
| Tapered tube | Kinetic energy of the fluid becomes pressure, pressure becomes force; the float rises and is read by eye (Bernoulli: ρv²/2 + ρgh + p = constant) | ½mV² → PA → F |
| Hot wire | A heated wire is cooled by the flow; the heat loss is measured as electrical power | Ah(ΔT) = V·I = W |
| Paddle wheel | The flow turns a wheel; a dynamo produces electricity | ½mv² = ½Iω² = V·I = W |
Example function “heat the room”: if you use an existing technology, you are doing product development; if you build a new working principle from physical equations, you are doing technology development.
Professor's note: “You need approval first, then you can continue. What is the benefit for me, for the company and for the customer? What is the net profit?”
Dimensions: customers, problem, solution, competitors, value proposition (why would the customer buy it, what are its advantages), business model, future work.
| Form | Tool | Notes |
|---|---|---|
| Oral | Elevator pitch, 2 minutes | Catch the listener; practise to finish on time. A technical pitch covers how it works (needs and functions), core competence, key partnerships, value created and delivery, key technical success measures. |
| Written | Business plan, 6–10 pages (NABC) | “Not an easy way.” |
| Demo | MVP (minimum viable product) | A simulation of the product, e.g. the pupwalk dog-walking app screens. |
A business case lists objectives, required investment and financial and qualitative success criteria. It is used to make the go / no-go decision.
| Question | Netflix vs Blockbuster example | |
|---|---|---|
| Need | What is the customer and market need? | Movie rental is a €500M business; people dislike poor service, returning cassettes and late fees |
| Approach | What is your unique approach? | Video on demand over existing channels and hardware; no new investment for users, same price |
| Benefits | What are the tangible benefits for stakeholders? | No returns, no late fees, DVD-like functions; higher revenue and margin per film, 20% market share expected |
| Competition | Why are the benefits superior to competitors? (USP) | Online rental has higher handling costs; mailing back is as much trouble as going to the store |
Benefits management plan: regularly identify project stakeholders and analyse and document their interests, involvement, interdependencies, influence and potential impact on project success. Internal: employees, managers, owners. External: suppliers, society, government, creditors, shareholders, customers. Professor: “Anyone who affects our business can be a stakeholder” (BMC example: Land Forces, ministries, suppliers, local governments, political parties).
The project charter formally authorizes the existence of a project and gives the project manager the authority to apply organizational resources. Sections: project name, PM and sponsor, start/end dates, business need, scope, deliverables, risks and issues, assumptions and dependencies, financials (budget), milestones, project team, approval/review committee.
This lecture is about Planning.
| Knowledge area | Initiating | Planning | Executing | Monitoring & Controlling | Closing |
|---|---|---|---|---|---|
| 1 Integration | 1.1 Develop project charter | 1.2 Develop PM plan | 1.3 Direct & manage work; 1.4 Manage knowledge | 1.5 Monitor & control work; 1.6 Integrated change control | 1.7 Close project or phase |
| 2 Scope | 2.1 Plan scope mgmt; 2.2 Collect requirements; 2.3 Define scope; 2.4 Create WBS | 2.5 Validate scope; 2.6 Control scope | |||
| 3 Schedule | 3.1 Plan schedule mgmt; 3.2 Define activities; 3.3 Sequence activities; 3.4 Estimate durations; 3.5 Develop schedule | 3.6 Control schedule | |||
| 4 Cost | 4.1 Plan cost mgmt; 4.2 Estimate costs; 4.3 Determine budget | 4.4 Control costs | |||
| 5 Quality | 5.1 Plan quality mgmt | 5.2 Manage quality | 5.3 Control quality | ||
| 6 Resource | 6.1 Plan resource mgmt; 6.2 Estimate activity resources | 6.3 Acquire resources; 6.4 Develop team; 6.5 Manage team | 6.6 Control resources | ||
| 7 Communications | 7.1 Plan communications mgmt | 7.2 Manage communications | 7.3 Monitor communications | ||
| 8 Risk | 8.1 Plan risk mgmt; 8.2 Identify risks; 8.3 Qualitative analysis; 8.4 Quantitative analysis; 8.5 Plan responses | 8.6 Implement responses | 8.7 Monitor risks | ||
| 9 Procurement | 9.1 Plan procurement mgmt | 9.2 Conduct procurements | 9.3 Control procurements | ||
| 10 Stakeholder | 10.1 Identify stakeholders | 10.2 Plan engagement | 10.3 Manage engagement | 10.4 Monitor engagement |
Integration covers the processes to identify, define, combine, unify and coordinate the processes of all other areas: resource allocation, balancing competing demands, examining alternatives, tailoring processes to objectives, managing interdependencies.
The project management plan describes how the project will be executed, monitored, controlled and closed. It integrates all subsidiary plans and the baselines, and states the approvals, conflict resolution and control against the scope, schedule and cost baselines. Professor's note: it is an expanded, more detailed version of the charter.
Professor: “What will you develop? What will be achieved?” Product scope = the features and functions of the product. Project scope = the work performed to deliver it; the boundaries of the project, the expectations given in the contract.
| Scope \ advantage | Cost | Differentiation |
|---|---|---|
| Broad market | Cost leadership: lowest-cost producer (economies of scale, proprietary technology, raw materials) | Differentiation: unique on attributes buyers value, rewarded with a premium price |
| Narrow market | Cost focus | Differentiation focus |
The scope statement lists deliverables, acceptance criteria and exclusions. Requirement categories: performance, functionality, ergonomics, aesthetics (the five senses), cost, service and maintenance (accessibility, time and cost to service), health and safety, standards, sustainability. Writing the exclusions prevents disputes and scope creep.
Create WBS = subdivide project deliverables and work into smaller, more manageable components. Inputs: scope management plan, scope statement, requirements documentation. Tools: expert judgment, decomposition. Output: the scope baseline. Requirement IDs (1.0 → 1.1, 1.2…) become branches; the lowest level is the work package.
Professor: “Check your WBS against customer expectations and requirements. Develop it from the customer requirements.”
The schedule is the detailed plan of how and when the project will deliver the scope; it is the basis for communication, managing expectations and reporting.
Every activity except the first and last must have at least one predecessor and one successor. Example: build the wall (predecessor) → paint the wall → install curtains (successor). Professor's note: we need to minimize the duration.
| Relation | Rule | Slide example | Professor's example |
|---|---|---|---|
| FS finish-to-start | Successor cannot start until predecessor finishes | Install OS after PC hardware is assembled | Build wall → paint wall |
| FF finish-to-finish | Successor cannot finish until predecessor finishes | Editing finishes after writing finishes | Lights off after the lecture ends |
| SS start-to-start | Successor cannot start until predecessor starts | Level concrete after pouring starts | Work starts after insurance starts |
| SF start-to-finish | Successor cannot finish until predecessor starts | Old accounting system shuts down after new one starts | Remove oxygen mask after breathing starts |
Lead = how much a successor can be advanced (written minus: FS − 2 weeks, landscaping before the punch list ends). Lag = how much a successor is delayed (written plus: SS + 15 days, editing after writing starts). The schedule network diagram shows activities, relationships, leads and lags.
Most likely tM (realistic expectations), optimistic tO (best case), pessimistic tP (worst case). Numbers come from expert judgment.
tE = (tO + tM + tP) / 3 e.g. (4 + 6 + 14) / 3 = 8 days
CPM estimates the minimum project duration and the scheduling flexibility (float) on each path. A forward pass gives early dates, a backward pass gives late dates.
| Activity | Dur. | ES | EF | LS | LF | Float |
|---|---|---|---|---|---|---|
| A | 3 | 0 | 3 | 0 | 3 | 0 |
| B | 4 | 3 | 7 | 5 | 9 | 2 |
| C | 6 | 3 | 9 | 3 | 9 | 0 |
| D | 6 | 7 | 13 | 9 | 15 | 2 |
| E | 4 | 7 | 11 | 9 | 13 | 2 |
| F | 4 | 9 | 13 | 9 | 13 | 0 |
| G | 6 | 13 | 19 | 15 | 21 | 2 |
| H | 8 | 13 | 21 | 13 | 21 | 0 |
Professor's notes: “We consider the critical path.” For an activity with float (E has 2 days) you can use a slower machine or fewer people to reduce cost or improve quality.
| Resource leveling | Resource smoothing | |
|---|---|---|
| Adjusts dates to | Balance demand with resource supply (e.g. Sue cannot work 16 h on day 1) | Keep resource use within predefined limits |
| Critical path | Can change; project may get longer (Sue: 2 days → 3 days) | Does not change; activities move only within their float |
Schedule levels: milestone schedule (zero-duration points) → summary schedule (work packages) → detailed schedule (activities and relationships), usually shown as a Gantt chart whose colours match the WBS.
Board summary of the project flow: business case (NABC) → charter → customer requirements → WBS → schedule → network diagram → critical path. For each work package decide: 1 time, 2 number of people, 3 budget, 4 skills of people, 5 risk, 6 quality parameters (CTQ, critical to quality). Requirements come from customer, company, government and the real end user, in categories of performance, quality and cost.
| Type | Meaning | Examples |
|---|---|---|
| Direct | Incurred by the project, tied to specific activities; assignable to one product or service | Wages, raw materials, parts, hardware/software, supplies, shipping, subcontractors, consultants, equipment, project travel |
| Indirect | Supports the project; shared by several products or services | Advertising, PM overhead, insurance, depreciation, executive salary, admin, security, office, rent, utilities, legal |
| Fixed | Does not change over the life cycle | Set-up, rent, insurance premiums, property tax |
| Variable | Changes with the amount of work | Hourly wages, materials, fuel |
Overhead varies by industry (manufacturing 15–25%, retail 20–30%, construction 10–20%, healthcare 25–40%, hospitality 30–50%, professional services 20–35%, IT 15–25%). At MIT, each federal research dollar is about 70¢ direct and 30¢ indirect; the professor's note: ~30% for the budget that runs all activities.
Estimates are refined as the project progresses: early accuracy −25% to +75%, later −5% to +10%.
Activity costs: each activity gets direct items (salary, labour, material, license, vendor, travel, rent, utilities) plus percentage indirect items (admin 10%, insurance 5%, marketing 5%, management 20% = 40%). Activity 1.1: 5 + 2 + 2 + 1 = 10 → 10 × 1.4 = 14 (×$1000).
Spreading activity costs over the weeks and adding them up gives the cumulative cost curve, the S-curve, which is the cost baseline (lecture example total $361,200). Money is not received continuously: it comes in steps.
| Contingency reserve | Management reserve | |
|---|---|---|
| Covers | Known unknowns (identified risks) | Unknown unknowns |
| Calculated as | Probability × impact | Usually 5–10% of the cost baseline |
| Controlled by | Project manager | Senior management |
| Inside cost baseline? | Yes | No (inside the project budget) |
Examples: 60% × $10,000 = $6,000; five risks, two at $10,000 and three at $11,000 → $53,000.
Tom's PMP example: membership $139 + course $199 + exam $405 + other $300 = $1,043 project cost; + $500 contingency = $1,543 cost baseline; + $100 management reserve = $1,643 project budget.
Inside the margin: EBITDA − depreciation & amortization = EBIT − interest = EBT − taxes = EAT (net profit).
| Cost of conformance (spent to avoid failures) | Cost of nonconformance (spent because of failures) |
|---|---|
| Prevention: training, documenting processes, equipment, time to do it right Appraisal: testing, destructive testing loss, inspections | Internal failure (found by the project): rework, scrap External failure (found by the customer): liabilities, warranty work, lost business |
Flowcharts show where quality defects can occur and where to put quality checks. Each SIPOC block gets metrics: supplier quality and delivery; input quality and timeliness; process cycle time, efficiency, yield; output defect rate; customer satisfaction and on-time delivery.
Board chain: requirement “sound ≤ 65 dB” (from the end user) → WBS: Mechatronic Design → work package MD3 Motion Design → SIPOC (input: electric motor; output: sound level) → tests (vibration, sound) → control plan: control parameter, sample size, sampling frequency, control limits.
A KPI is a measurable indicator tied to a target. It must be SMART: specific, measurable, achievable, relevant, time-bound. Table columns: quality criterion · KPI · metric · frequency · target · how · data source (e.g. noise · sound level · dB · every 50 units · ≤ 65 dB · sound test · test lab). Cooking example: ingredients → freshness, shopping → cost, cooking → time, tasting → taste.
Resources include time, money and equipment, but here the focus is human resources.
Plan communications management develops an approach and plan for communication based on the information needs of stakeholders and the needs of the project. Then: manage communications (Executing), monitor communications (M&C).
Dimensions: written, spoken, gestures, media · internal / external · formal (reports, formal meetings, briefings) / informal (emails, social media, ad hoc talks) · official (annual reports to regulators) / unofficial (relationship building).
Successful communication = an appropriate strategy plus appropriate messages in the right formats. The plan defines collection, creation, dissemination, storage, retrieval, tracking and disposition; iterations improve efficiency.
5Cs of written communication: correct grammar and spelling · concise · clear (aimed at the reader's needs) · coherent logical flow · controlling the flow of words and ideas (graphics, summaries).
Skills: active listening; cultural and personal awareness; managing stakeholder expectations; persuading, motivating, coaching, negotiating, resolving conflict.
Communication requirement analysis: 1 identify stakeholders → 2 their information needs (team: detail; sponsor: summaries) → 3 channels (team: Gantt; sponsor: status reports) → 4 frequency (team: daily; sponsor: monthly) → 5 document the plan. Example plan: team, status updates, fortnightly, face to face; vendors, performance review, monthly, video; executives, high-level report, weekly, email.
Risk management includes planning, identification, analysis, response planning, response implementation and monitoring. The objectives are to increase the probability and/or impact of positive risks and decrease those of negative risks.
Professor's notes on the slide: risks come from the chain market needs → contract → customer requirements → WBS → work packages (time, quality, budget, people, skills) → risks in time, people, budget, quality → risk list (R1, R2…), analysed with root cause analysis and failure mode analysis. External sources (technology, social/cultural, legal, environmental, economic) can stop the project and drive the go/no-go decision (implicit). Internal sources may jeopardize results: time, money, quality (explicit).
| Individual project risks | Overall project risk | |
|---|---|---|
| Meaning | The risks in the project; affect project objectives | The risk of the project; combination of individual risks and other uncertainty |
| Management | Explicit, through the risk process | Implicit, through decisions on structure, scope, content, context |
| Possible effects | Delay or acceleration of milestones; overrun or underspend | Cancellation or de-scoping; extended benefits |
A higher view is needed: PESTLE (political, economic, social, technological, legal, environmental), PESTLIED (+ international, demographic), STEEPLE (+ ethics), InSPECT, SPECTRUM, TECOP (technical, environmental, commercial, operational, political), VUCA (volatility, uncertainty, complexity, ambiguity).
Level 0 all sources → 1 technical (scope, requirements, estimates, technology, interfaces) · 2 management (PM, program/portfolio, operations, organization, resourcing, communication) · 3 commercial (contract terms, procurement, suppliers, subcontracts, client stability, partnerships) · 4 external (legislation, exchange rates, site, weather, competition, regulatory). Example: Risk 1.2 may not hire skilled personnel; 2.5 license fee underestimated; 3.4 contract not closed in time; 4.1 supplier delays delivery.
Two dimensions: uncertainty (probability, frequency, likelihood: low/medium/high) and significance (effect, impact, consequence on time, cost, performance). Scale example: very high = >70%, >6 months, >$5M; very low = 1–10%, 1 week, <$100K.
Three-dimensional: Risk Priority Number RPN = impact × probability × detectability (each 0–10, total 0–1000). Categories: extremely high 512–1000, high 216–511, medium 64–215, low 8–63, extremely low 0–7. Example: R4.3 = 8 × 9 × 8 = 576, priority 1; R2.4 = 280; R1.1 = 48; R5.1 = 24.
Gives better certainty on the probability of outcomes in cost, schedule and performance. Inputs are probability distributions (x1, x2, x3); the model f(x) samples them thousands of times; outputs are a histogram and an S-curve.
Budget example: the $2.2M target has a 23% chance; expected value $2.35M; 85% chance of $2.45M or less. On the reserve diagram: base cost → project contingency → management reserve; beyond that is risk to the project budget, then risk to the business.
| Priority | Threats | Opportunities |
|---|---|---|
| High | Escalate: outside scope or beyond PM authority → program/portfolio level Avoid: eliminate the threat (change scope, schedule), probability → 0 | Escalate: same Exploit: make sure it happens, probability → 100% (most talented resources, new technologies) |
| Medium | Transfer: a third party bears it (insurance, warranties) Mitigate: reduce probability/impact (less complex processes, more tests, a more stable seller) | Share: a third party shares the benefit (partnerships, teams, joint ventures) Enhance: increase probability/impact (add resources to finish early) |
| Low | Accept: no proactive action | Accept: no proactive action |
What the professor said or wrote would be on the midterm, and what you must be able to write or draw for each. The exam is written: expect to explain, draw graphs and list items.
The professor drew two graphs: cumulative expenses rising smoothly (an S-curve) and investment money arriving in steps, with an arrow from the expense curve to the steps.
Gantt chart 1917 → CPM 1957 (DuPont) → PERT 1958 (US Navy Polaris) → WBS 1962 (US DoD) → IPMA 1965 → PMI 1969 → PROMPTII 1975 → PMBOK 1987 → PRINCE 1989 → PRINCE2 1996 → CCPM 1997 → PMBOK ANSI standard 1998 → ISO 21500 2012. Know the two schools: PMI (USA, PMP) and PRINCE (UK, PRINCE2 Practitioner).
Written questions in the exam's style. Answer on paper first (draw the graphs), then open the model answer to check what a full answer includes.