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Concept MapCELE · Engineering Mathematics

CELE Engineering Mathematics — Engineering EconomyConcept Map

How the ideas in Engineering Economy fit together, mapped out for CELE Engineering Mathematics.

Super Tutor's review for GELE (as “Mathematics”) uses these same chapters, so they live here in the CELE section.

Engineering Economy - Concept Map

Engineering Economy: Decision-Making on Economic Alternatives over Time

Related concepts

Time Value of Money

Sub concepts

  • Simple Interest
  • Compound Interest
  • Present Worth
  • Future Worth
  • Nominal vs Effective Rates

Relationship to central

Foundation principle underlying all economic calculations

Interest and Compounding

Sub concepts

  • Period Interest Rate (i)
  • Number of Periods (n)
  • Compounding Frequency (m)
  • Continuous Compounding
  • Effective Annual Rate (EAR)

Relationship to central

Core mechanism for time-value calculations

Annuities and Uniform Series

Sub concepts

  • Ordinary Annuity (End-of-Period)
  • Annuity Due (Beginning-of-Period)
  • Future Worth of Annuity
  • Present Worth of Annuity
  • Perpetuities

Relationship to central

Methods to evaluate recurring equal payments

Depreciation Methods

Sub concepts

  • Straight-Line (SL)
  • Sum-of-Years-Digits (SYD)
  • Declining Balance (DB)
  • Book Value Calculation

Relationship to central

Reduces asset value systematically for accounting and tax purposes

Economic Comparison Methods

Sub concepts

  • Present Worth (PW)
  • Annual Worth (AW)
  • Rate of Return (ROR)
  • Payback Period
  • Benefit-Cost Ratio (B/C)

Relationship to central

Techniques to select best alternative based on economic merit

Cash Flow Analysis

Sub concepts

  • Initial Investment
  • Operating Costs
  • Salvage Value
  • Net Cash Flow
  • Cash Flow Diagrams

Relationship to central

Organizes project costs and benefits chronologically

Break-Even Analysis

Sub concepts

  • Break-Even Point
  • Sensitivity Analysis
  • Variable Costs
  • Fixed Costs

Relationship to central

Determines point where two alternatives are economically equivalent

Loan and Debt Analysis

Sub concepts

  • Loan Principal
  • Interest Calculations
  • Amortization Schedules
  • Effective Interest Rate

Relationship to central

Evaluates financing options and repayment obligations

Concept connections

  • Time Value of MoneyCompound InterestCompound interest is the primary mathematical mechanism implementing time-value principles
  • Compound InterestPresent WorthPresent worth uses discounting (inverse of compound interest) to bring future values to today
  • Annuities and Uniform SeriesTime Value of MoneyAnnuity formulas apply compound interest principles to recurring equal payments
  • Depreciation MethodsEconomic Comparison MethodsDepreciation affects taxable income and cash flows used in economic analyses
  • Economic Comparison MethodsPresent WorthPresent worth is one of the primary methods for comparing alternative investments
  • Economic Comparison MethodsAnnual WorthAnnual worth converts all costs to equivalent annual amounts for easy comparison
  • Cash Flow AnalysisPresent WorthPresent worth analysis requires proper organization and timing of all project cash flows
  • Break-Even AnalysisEconomic Comparison MethodsBreak-even identifies the point where two alternatives have equal economic merit
  • Interest MechanismsNominal vs Effective RatesEffective rate converts nominal rate to true periodic rate for different compounding frequencies
  • Loan and Debt AnalysisAnnuities and Uniform SeriesLoan repayments are typically modeled as ordinary annuities with calculated interest
  • Rate of ReturnPresent WorthRate of return is found by solving for interest rate where PW equals zero
  • Benefit-Cost RatioPresent WorthB/C ratio uses present worth of benefits divided by present worth of costs
  • Straight-Line DepreciationDepreciation MethodsStraight-line is the simplest and most commonly used depreciation method
  • Sum-of-Years-DigitsAccelerated DepreciationSYD is an accelerated method that front-loads depreciation in early years
  • PerpetuitiesAnnuities and Uniform SeriesPerpetuity is a special annuity with infinite number of periods
  • Payback PeriodEconomic Comparison MethodsPayback period is a simple but limited method measuring initial recovery time
  • Amortization SchedulesLoan and Debt AnalysisAmortization schedules show period-by-period breakdown of principal and interest payments
  • Initial InvestmentCash Flow AnalysisInitial investment is the starting point of any project cash flow analysis
  • Salvage ValueDepreciation MethodsSalvage value is subtracted from capital cost to determine depreciable amount
  • Sensitivity AnalysisBreak-Even AnalysisSensitivity analysis examines how decision changes when key variables vary

Diagrams

Engineering Economy: Complete Concept Hierarchy

Comprehensive mind map showing Engineering Economy as the central concept with eight major branches covering time value principles, interest mechanisms, annuities, depreciation, comparison methods, cash flow, break-even analysis, and financing. Each branch contains related formulas, calculations, and sub-concepts essential for board examination preparation.

Problem-Solving Decision Tree: Selecting Economic Analysis Method

Decision flowchart guiding engineers through the selection of appropriate economic analysis methods based on problem characteristics. Covers identification of time-value vs. annuity vs. depreciation vs. comparison scenarios, with branching logic for specific calculation methods. Essential for board exam problem-solving strategy.

Compound Interest Calculation Procedure: Step-by-Step

Step-by-step procedural flowchart for solving compound interest problems. Includes identification of variables, rate conversions, formula application, calculation steps, and verification methods. Demonstrates how engineers systematically approach time-value calculations required in board examinations.

Depreciation Method Selection and Calculation Process

Flowchart showing depreciation method selection and calculation procedures. Covers straight-line, sum-of-years-digits, and declining-balance methods with example calculations. Includes verification steps to ensure accumulated depreciation equals cost minus salvage value.

Economic Comparison: Present Worth vs Annual Worth Analysis

Flowchart demonstrating present worth and annual worth methods for comparing economic alternatives. Shows calculation procedures, example comparisons, and sensitivity analysis. Essential for evaluating competing projects in civil engineering applications.

Annuity Calculations: Identifying Type and Computing Values

Flowchart guiding identification and calculation of three annuity types: ordinary annuities, annuities due, and perpetuities. Includes step-by-step formula application with worked examples demonstrating future worth and present worth calculations for each type.

Cash Flow Timeline: Construction and Interpretation

Sequence diagram illustrating cash flow timing from year 0 (present) through year n (end of project life). Shows initial investment, recurring operating costs, and salvage value. Demonstrates why timing of cash flows matters in present worth and future worth calculations.

Economic Comparison Methods: Application Frequency in Board Exams

Pie chart showing the approximate distribution of economic comparison method questions in PRC board examinations. Present worth and annual worth together account for 60% of comparison problems, making them highest-priority topics for board preparation.

Engineering Economy is chapter 10 of 10 in the Engineering Mathematics part of Super Tutor's CELE review. The Civil Engineer Licensure Examination is given by Professional Regulation Commission (PRC) — Board of Civil Engineering; its dates, format and passing rules are on the CELE page. See the CELE guide.

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