1.11: Quick Check
- Page ID
- 131352
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\(\newcommand{\avec}{\mathbf a}\) \(\newcommand{\bvec}{\mathbf b}\) \(\newcommand{\cvec}{\mathbf c}\) \(\newcommand{\dvec}{\mathbf d}\) \(\newcommand{\dtil}{\widetilde{\mathbf d}}\) \(\newcommand{\evec}{\mathbf e}\) \(\newcommand{\fvec}{\mathbf f}\) \(\newcommand{\nvec}{\mathbf n}\) \(\newcommand{\pvec}{\mathbf p}\) \(\newcommand{\qvec}{\mathbf q}\) \(\newcommand{\svec}{\mathbf s}\) \(\newcommand{\tvec}{\mathbf t}\) \(\newcommand{\uvec}{\mathbf u}\) \(\newcommand{\vvec}{\mathbf v}\) \(\newcommand{\wvec}{\mathbf w}\) \(\newcommand{\xvec}{\mathbf x}\) \(\newcommand{\yvec}{\mathbf y}\) \(\newcommand{\zvec}{\mathbf z}\) \(\newcommand{\rvec}{\mathbf r}\) \(\newcommand{\mvec}{\mathbf m}\) \(\newcommand{\zerovec}{\mathbf 0}\) \(\newcommand{\onevec}{\mathbf 1}\) \(\newcommand{\real}{\mathbb R}\) \(\newcommand{\twovec}[2]{\left[\begin{array}{r}#1 \\ #2 \end{array}\right]}\) \(\newcommand{\ctwovec}[2]{\left[\begin{array}{c}#1 \\ #2 \end{array}\right]}\) \(\newcommand{\threevec}[3]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \end{array}\right]}\) \(\newcommand{\cthreevec}[3]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \end{array}\right]}\) \(\newcommand{\fourvec}[4]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \\ #4 \end{array}\right]}\) \(\newcommand{\cfourvec}[4]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \\ #4 \end{array}\right]}\) \(\newcommand{\fivevec}[5]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \\ #4 \\ #5 \\ \end{array}\right]}\) \(\newcommand{\cfivevec}[5]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \\ #4 \\ #5 \\ \end{array}\right]}\) \(\newcommand{\mattwo}[4]{\left[\begin{array}{rr}#1 \amp #2 \\ #3 \amp #4 \\ \end{array}\right]}\) \(\newcommand{\laspan}[1]{\text{Span}\{#1\}}\) \(\newcommand{\bcal}{\cal B}\) \(\newcommand{\ccal}{\cal C}\) \(\newcommand{\scal}{\cal S}\) \(\newcommand{\wcal}{\cal W}\) \(\newcommand{\ecal}{\cal E}\) \(\newcommand{\coords}[2]{\left\{#1\right\}_{#2}}\) \(\newcommand{\gray}[1]{\color{gray}{#1}}\) \(\newcommand{\lgray}[1]{\color{lightgray}{#1}}\) \(\newcommand{\rank}{\operatorname{rank}}\) \(\newcommand{\row}{\text{Row}}\) \(\newcommand{\col}{\text{Col}}\) \(\renewcommand{\row}{\text{Row}}\) \(\newcommand{\nul}{\text{Nul}}\) \(\newcommand{\var}{\text{Var}}\) \(\newcommand{\corr}{\text{corr}}\) \(\newcommand{\len}[1]{\left|#1\right|}\) \(\newcommand{\bbar}{\overline{\bvec}}\) \(\newcommand{\bhat}{\widehat{\bvec}}\) \(\newcommand{\bperp}{\bvec^\perp}\) \(\newcommand{\xhat}{\widehat{\xvec}}\) \(\newcommand{\vhat}{\widehat{\vvec}}\) \(\newcommand{\uhat}{\widehat{\uvec}}\) \(\newcommand{\what}{\widehat{\wvec}}\) \(\newcommand{\Sighat}{\widehat{\Sigma}}\) \(\newcommand{\lt}{<}\) \(\newcommand{\gt}{>}\) \(\newcommand{\amp}{&}\) \(\definecolor{fillinmathshade}{gray}{0.9}\)Quick Check
- In your own words, explain the difference between engineering and science. Give one example of each.
- A civil engineer and an electrical engineer both solve problems. What do their approaches have in common? Where might they differ?
- The definition of engineering in Section 1.2 includes the phrase "real-world constraints." Why is that phrase essential? What happens to a design that ignores it?
- Pick one engineered system you used today that you had not previously thought of as engineered. Describe the constraints its designer probably had to balance.
- Why do engineers hold a "position of public trust"? Give one example, real or hypothetical, where that trust could be violated.
- Choose any two eras from §1.6. Describe one specific way that engineering knowledge from the earlier era made the later era possible.
- Of the five engineering mindset habits in Section 1.5, which do you think will be hardest for you personally? Why?
- [Stretch] Suppose you are an engineer who discovers a small error in a calculation after the design has been approved. Fixing it will delay the project by two weeks. Not fixing it probably won't matter. What factors should go into your decision?
Answers - click to expand
- Engineering and science are related, but they ask different kinds of questions. Science tries to explain how the natural world works. Engineering uses scientific knowledge, mathematics, materials, tools, and judgment to design solutions that work under real conditions.
Example: A scientist might study how heat moves through a material. An engineer might use that knowledge to design insulation for a building, a heat sink for a computer, or a thermal protection system for a spacecraft.
- A civil engineer and an electrical engineer both define problems, use models, make calculations, evaluate constraints, consider safety, and communicate results. Their work is similar because both are applying structured problem-solving to real-world systems.
They differ in the systems and tools they use. A civil engineer may focus on structures, transportation, water systems, or foundations, using loads, materials, soil properties, and codes. An electrical engineer may focus on circuits, power, signals, electronics, or communication systems, using voltage, current, resistance, frequency, and control logic.
- The phrase "real-world constraints" is essential because engineering is not just about finding a theoretically correct answer. A design must work within limits such as cost, time, safety, materials, manufacturing methods, environmental impact, laws, codes, maintainability, and user needs.
A design that ignores constraints may be impossible to build, too expensive, unsafe, unreliable, illegal, or unusable. In engineering, a solution that works only on paper is not enough.
- Answers will vary. One possible example is a shower system. It may seem ordinary, but it depends on engineered water treatment, pumps, pipes, valves, drainage, pressure regulation, temperature control, and a water heater.
The designers likely had to balance constraints such as water pressure, safety, temperature limits, corrosion resistance, cost, energy use, building codes, ease of repair, and reliability over many years of use.
- Engineers hold a position of public trust because people rely on engineering work without being able to personally verify it. Most people cannot inspect the structural calculations for a bridge, the wiring inside a building, the software in a medical device, or the safety margins in an aircraft.
Example: An engineer violates public trust if they approve a design they know has not been properly checked, hide a safety concern to avoid delaying a project, or sign off on calculations they did not review. Even if no failure occurs immediately, the public has been placed at risk.
- Answers will vary. One possible connection is between the Classical Engineering era and the Renaissance. Greek and Roman engineers preserved and wrote down ideas about geometry, mechanics, materials, roads, aqueducts, and structures. Renaissance engineers later built on that written knowledge and connected it more formally to mathematics and scientific reasoning.
Another possible connection is between the Industrial Revolution and the 20th century. The Industrial Revolution developed steam power, steel production, railways, electricity, and specialized engineering disciplines. Those developments made later technologies such as aircraft, automobiles, electronics, power grids, and large-scale manufacturing possible.
- Answers will vary. A strong answer should identify one mindset habit, explain why it may be difficult, and connect it to a specific behavior the student can improve.
Example: A student might say that checking assumptions will be hardest because they often want to start calculating immediately. To improve, they could make a habit of writing down knowns, unknowns, units, constraints, and assumptions before solving a problem.
- The engineer should not dismiss the error simply because it probably will not matter. The decision should consider the size and type of error, whether it affects safety, code compliance, performance, cost, reliability, public welfare, environmental impact, or the assumptions used elsewhere in the design.
The engineer should also consider who needs to be informed, whether the approved design is already being built, whether the error affects other calculations, and whether a licensed engineer or supervisor must review the issue. A two-week delay may be inconvenient, but inconvenience does not outweigh safety, honesty, or professional responsibility.
A responsible course of action would be to document the error, evaluate its impact, communicate it to the appropriate supervisor or design authority, and recommend correction if the error affects safety, performance, compliance, or public trust.

