ENGR 102PROBLEM SOLVING FOR ENGINEERS

Lecture # 8

February 11, 2021

I N T O / C S U P A R T N E R S H I P

PRACTICE FOR EXAM 1Note Sheet

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Official ENGR 102 tutor (learning assistant):• Has taken ENGR 101, 3 years ago, which is similar• Is studying civil engineering• Has learned to get good grades in his classes

COLE LUCEROclucero3@rams.colostate.edu

Will be helping with:• Engineering life at CSU• MATLAB• Thermodynamics (energy & engineering)• Statics• Project• How to do well on exams

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OBJECTIVES FOR ENGR 102

1. Work in a typical US university environment

2. Understand and solve engineering word problems

3. Analyze data and present engineering information

4. Understand several engineering concepts

5. Ability to use an engineering problem solving process

6. Use software tools: Microsoft Excel and MATLAB

7. Describe jobs in different engineering disciplines

8. Describe courses needed to graduate as an engineer

Source: athenadr.files.wordpress.com

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ASSIGNMENT 7 - PRACTICE EXAM(Chapters 1, 4-6, and 17)

Chapter 1:• The engineering professionChapter 4: • Use the problem solving processChapter 5:• Know Excel and graphing techniquesChapter 6:• Significant digits, accuracy, and precision for estimation.Chapter 17:• Electrical circuits

+ Need the vocabulary to understand all sections

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1. Number of students in this class = __7__

2. Students with homework on time = __6__

3. Number of students with full credit = __4__

4. Students with all answers correct = __0__

ASSIGNMENT 7(Due before 12 noon on Thursday, February 11)

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How to learn anything:• Put new information into your brain• Use the information• Repeat many times• Writing is more active than just reading or videos

The science of learning says:• Trying to learn something in one session (cramming) is

not effective. • You will learn things better if you study something

multiple times, with breaks in between (chunking).

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CHARACTERISTICS OF A GOOD NOTE SHEET

Short, but complete

Organized

Rewritten several times to make it better

In your handwriting

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WHAT TO INCLUDE ON YOUR NOTE SHEET FOR EXAM 1

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VOCABULARY LIST FOR EXAM 1

Assignment 1ConstructionConsultingDesignDevelopmentEngineerEngineering disciplineEngineering functionManagementOperationsProduction and testResearchSalesScientific methodTeaching

Assignment 2Allegation (3)AmendmentAuthorizeCivil litigationCoercionComplaintantComplyConscientiousDiscretionary (2)Disciplinary (2)Discrimination (2)EnforcementFacilitateFalsificationForgery

HarrassmentInterimIntervention (2)IntimidationJurisdiction (2)LitigationMannerMisconduct (3)Non-complianceOrdinancePlagiarism (2)ResolutionRestorativeSanction (2)Welfare

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VOCABULARY LIST FOR EXAM 1

Assignment 3ApplicableAssumption (2)CharacteristicConciseDiagramGenerateLengthHypotenuse (2)Perpendicular (2)Pythagorean theorem (2)ResultRoofSegment (2)SimplifyTheoryTriangleTrigonometryTruss (3)

Assignment 4AtomBatteryCertainConductanceConstantConventionCoulombCurrent (2)DenoteDirect currentDislodgeDissipateElectron (2)

ErraticFurnishInitiallyIinstantaneouslyInternalInvestigateLatticeMagnitudeMesh (2)NodeParallelPotential (2)Practically

ProtonReciprocalResistance (2)SimultaneousStationarySteady stateSurfaceSynthesizeTerminalTherebyToleranceVolt

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VOCABULARY LIST FOR EXAM 1

Assignment 5AccuracyCalibrateConvertEstimationIntegerPrecisionRandom errorReal numberScientific notationSignificant digitsSystematic error

Assignment 5Absolute valueConstantExponentialFormula (as in Excel)Function (as in Excel)LogarithmNatural logarithmOperator (as in Excel)ReciprocalRelative (as in Excel)Square rootSyntax

Assignment 6Axis (as used in graphs)Dependent variableEmpiricalGraphicalIndependent variableInput/output relationshipLinear relationshipLinear scaleLogarithmic scaleLog-log chartMethod of selected pointsPlot (as used in class)Power law curveProportionalRectangular coordinatesSemi-log chart

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Question 1: • Write down an integer between 7 and 9.• Take the reciprocal of this number.• Multiply this number by the square root of 9.• Show the result with the same number of significant digits as the integer you

started with.

2 students with correct answers

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Question 3: • Show the correct syntax for an excel formula that calculates the logarithm

of the cell above it multiplied by the inverse of the cell to the right.

2 students with almost correct answers

( )

*

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Question 4: • Give the names of two engineering functions that you think would be

interesting for your career from the list of engineering functions that we have discussed in class.

• Write one sentence about what each of these functions does that you think is interesting.

6 students with good answers(All students who submitted homework)

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Question 5: • If there is an allegation that you have falsified something, will you

automatically face disciplinary action? Explain why or why not.

4 students with good answers

Allegation: claim of wrongdoing without proof

Need proof before disciplinary action

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Question 2: • Hand draw a semi-log graph with that has a logarithmic scale for the

independent variable. • Plot a function on this graph that would be a straight line and give the

equation for that function. A function can also be called an input-output relationship.

0 students with correct answersWill create a video tutorial to help you understand and

will post this tutorial this weekend.Will create a video tutorial to help you understand and

will post this tutorial this weekend.

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SOME WORDS RELATED TO GRAPHS (CHARTS, PLOTS)

X-axis

Y-axis

Input/output relationship: y = f(x) x is independent variabley is dependent variable

Linear relationship(y is proportional to x)

Power law curve

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RECTANGULAR, SEMI-LOG AND LOG-LOG CHARTS

On a linear scale, a given addition to a value is always the same distance.

1 2 3 4

On a logarithmic scale a given multiplier (for example 10) is always the same distance: 1 10 100 1000

Rectangular coordinates:two linear scale axes

Semi-log chart: one linear scale axis and one logarithmic scale axis

Log-log chart: two logarithmic axes

0 1 21

10

100

1 10 1000

1

2

1 10 1001

10

100

0 1 20

1

2

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WHICH FUNCTIONS PRODUCE A STRAIGHT LINE ON WHICH CHART

EQUATION

RECTANGULARCHART

Linear – Linear

SEMI-LOGCHART

X is logarithmic

SEMI-LOGCHART

Y is logarithmic

LOG-LOGCHART

y = mx + b(linear relationship)

Straight line Curved line Curved line Straight line

y = m+(b)ln(x)Y= m+(b)log10(x)

Curved line Straight line Curved line Curved line

y = (b)emx

y = (b)10mxCurved line Curved line Straight line Curved line

y = bxm(power law)

Curved line Curved line Curved line Straight line

Note:In an Excel formula, log(A1) means: log10(x)In an Excel formula, ln(A1) means: ln(x)In an Excel formula, exp(A1) means: exIn an Excel formula, 10^(A1) means: 10x

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IF YOU SEE A STRAIGHT LINE ON A GRAPH, YOU CAN CALCULATE m AND b

Equation Type of graph for straight line

Solve using

y = mx + b Linear-Linear y1 = m•x1 + by2 = m•x2 + b

y = m+(b)ln(x) Semi-Log(X is logarithmic)

y1 = m + b•ln(x1)y2 = m + b•ln(x2)

y = (b)emx Semi-Log(Y is logarithmic)

ln(y1)= m•x1 + ln(b)ln(y2)= m•x2 + ln(b)

y = bxm Log-Log log(y1)= m•log(x1) + log(b)log(y2)= m•log(x2) + log(b)

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ASSIGNMENTS(See www.engr102.com)

• Assignment 8: due noon Tuesday, 16 FebruaryØ More exam practice

• Recitation Wednesday, 15 February, at 8amØ Final chance to ask questions

• First exam will be Thursday, 18 February

• Project part 1 is due noon, Tuesday, 2 March