FE Industrial & Systems study materials
FE Industrial & Systems study resources

FE Industrial & Systems study plan

FE Industrial & Systems · Give each week a clear focus.

8 weeks · About 7 hours per week

Week 1

Mathematics and Statistics

  • Solve 30 closed-book problems on matrix operations, determinants, and systems of linear equations

  • Differentiate and integrate cost, profit, and revenue functions to locate maxima and minima

  • Apply counting rules, conditional probability, and Bayes' theorem to 15 realistic word problems

  • Build a one-page distribution reference card (binomial, Poisson, normal, exponential, hypergeometric) with mean, variance, and a worked example for each

Your checkpoint

A timed 25-question quiz on algebra, calculus, and probability scored at 70% or better, with every missed item reworked and annotated by error type

Week 2

Mathematics and Statistics & Operations Research

  • Compute descriptive statistics and confidence intervals, and carry out a hypothesis test for a mean, proportion, and variance on 12 datasets

  • Interpret simple and multiple linear regression output, including R-squared, standard error, and significance of coefficients

  • Set up and solve 10 linear programming models by graphing two-variable cases and by identifying objective, constraints, and feasible region verbally

  • Convert each LP into standard form and read the dual/shadow price meaning from a solved tableau

Your checkpoint

A 20-problem statistics and LP-formulation set scored at 75% or better, plus a one-page map of when to use z, t, chi-square, and F tests

Week 3

Operations Research

  • Solve transportation and assignment problems to optimality using the northwest-corner/stepping-stone and Hungarian methods

  • Find shortest path, minimum spanning tree, and maximum flow on four small networks

  • Model and compute basic single-server and multi-server queuing measures (L, Lq, W, Wq, utilization, P0)

  • Construct decision trees with expected monetary value and compute the value of perfect information

  • Compute PERT/CPM early and late times, slack, critical path, and simple crashing costs

Your checkpoint

A worked OR problem portfolio covering one solved instance of each technique, with a 15-question timed quiz on queuing and networks scored at 70% or better

Week 4

Engineering Economics & Quality Engineering

  • Convert cash flows across time using single-payment, uniform-series, and gradient factors on 20 conversions

  • Compare alternatives with present worth, annual worth, and rate of return, including a replacement or lease-versus-buy decision

  • Compute straight-line and MACRS depreciation, after-tax cash flow, and breakeven quantity for three capital projects

  • Construct X-bar/R and p-charts from supplied sample data and flag out-of-control points using run rules

  • Calculate Cp, Cpk, and process sigma, and state the process capability conclusion in one sentence per case

Your checkpoint

A spreadsheet workbook with five fully solved economic-alternative problems and two SPC datasets (charts plus capability indices) and a short written recommendation for each, validated by a 20-question mixed quiz at 70% or better

Week 5

Production Planning and Control & Manufacturing and Production Systems

  • Explode a three-level bill of materials and build six-period MRP records with gross-to-net requirements and planned order releases

  • Compute EOQ, safety stock, reorder point, and inventory turnover for five demand scenarios

  • Apply moving average, exponential smoothing, and seasonal indices, and score forecasts with MAD and MAPE

  • Select push, pull/kanban, JIT, or drum-buffer-rope for described plant conditions and defend the choice

  • Compute capacity, utilization, takt time, and line-balance efficiency for an assembly line, and classify production processes by volume-variety

Your checkpoint

A complete MRP and capacity problem set with correct net requirements and order releases, plus a one-page process-selection matrix matching five plant descriptions to process type and control system

Week 6

Facilities and Logistics & Human Factors and Ergonomics

  • Score three layout alternatives with from-to charts and load-distance calculations, and perform one pairwise department exchange to test improvement

  • Estimate warehouse storage, throughput, and dock requirements for a described distribution center and justify a layout recommendation

  • Compute anthropometric percentile cutoffs and apply the NIOSH lifting equation to five manual-handling tasks

  • Carry out a time study with performance rating and allowance factors, and compute standard time

  • Screen five workstations with RULA/REBA concepts and workstation design principles, then rank them by ergonomic risk

Your checkpoint

A layout recommendation memo containing load-distance scores for all alternatives, plus a completed lifting-index and standard-time worksheet with a risk ranking of the five tasks

Week 7

Ethics and Professional Practice & Systems Engineering and Management

  • Apply the NCEES Model Rules and Code of Ethics to 15 scenarios covering conflicts of interest, competence boundaries, sealing, and public safety

  • Classify contract types and identify liability, warranty, and professional-responsibility issues in four case summaries

  • Decompose a sample system into life-cycle phases, requirements, and functional blocks with a traceability list

  • Compute series/parallel reliability and availability, and apply risk-priority and trade-study reasoning to a design choice

  • Review the two lowest-scoring domains from the week-6 self-assessment and re-drill them with 20 targeted problems

Your checkpoint

A 30-question mixed ethics and systems quiz scored at 75% or better, plus a one-page ethics decision checklist and a traced requirements table for the sample system

Week 8

Mathematics and Statistics & Engineering Economics & Ethics and Professional Practice & Manufacturing and Production Systems & Production Planning and Control & Facilities and Logistics & Human Factors and Ergonomics & Quality Engineering & Operations Research & Systems Engineering and Management

  • Complete two full-length timed practice exams under test-day conditions with no notes

  • Log every missed item by domain and root cause (concept gap, calculation slip, misread question)

  • Re-drill the two weakest domains with 40 targeted problems drawn from the error log

  • Compress the formula sheet to two pages and recall the key conversion factors and factor-notation values from memory

  • Rehearse exam-day pacing and calculator workflow for unit conversions, cash-flow factors, and statistics functions

Your checkpoint

A domain-by-domain scorecard from the second practice exam showing 70% or better in every domain, and a final 48-hour revision list of no more than 15 items

Milestones

Week 2: Closed-book quiz average of 70% or better on math, probability, and statistics; distribution and test-selection reference cards complete

Week 3: All nine OR technique types attempted at least once, and the queuing/network quiz passed at 70% or better

Week 4: Engineering-economics and quality workbook finished with correct numeric answers on at least 8 of 10 problems, and the mixed quiz at 70% or better

Week 6: MRP records, layout scores, lifting indices, and standard times all computed and self-checked, and a preliminary domain scorecard shows no more than two domains below 60%

Week 7: Ethics and systems quiz at 75% or better, with any remaining weak domain explicitly scheduled into the week-8 drill block

Week 8: Second full-length practice exam scores 70% or better in every domain, and the final revision list is limited to 15 items