Table of Specifications: Applied Math, Surveying, Transportation, and Construction

Source-verified MSTE CELE table of specifications with competency weights, item counts, cognitive levels, and direct links to CE lessons.

Surveying instrument, transportation infrastructure, construction site, and engineering plans representing MSTE competencies

Current Examination Context

The March 2026 CELE program assigns 35% relative weight to MSTE and schedules it on the second day from 8:00 A.M. to 1:00 P.M. The official TOS contains 75 items across 15 competency groups.

Weight Rounding in the Official Table

The official Annex A prints each of the 75 MSTE one-item competencies as 1.33%. Multiplying the displayed rounded value by 75 gives 99.75%, while the official subtotal is 100%. Treat 1.33% as a rounded display value; the authoritative item count is 75 and the subject subtotal is 100%.

Internal Links Are Study Routes, Not the TOS Itself

Some MSTE competencies intentionally combine several disciplines. A single repository link cannot always represent the entire PRC competency. Treat each link as the closest starting lesson and review adjacent lessons where the competency covers multiple methods or applications.

Official MSTE Competency Map

CompetencyWeightNo. of ItemsType (No. of Items)Topic Link
1 CALCULUS
1.1 Extract derivatives and interpret applications of derivatives1.33%1Analysis (1)Applications of Derivatives
1.2 Apply methods of integration and calculate definite integrals1.33%1Application (1)Definite Integrals
1.3 Examine properties of plane curves and hyperbolic functions1.33%1Synthesis (1)Conic Sections
1.4 Determine and evaluate infinite sequences, power series, and infinite series1.33%1Application (1)Sequences & Series
1.5 Formulate partial derivatives and differential equations1.33%1Analysis (1)Differential Equations
2 DIFFERENTIAL EQUATIONS
2.1 Apply integration to areas, volumes of revolution, force, and work1.33%1Application (1)Applications of Integration
2.2 Recall and understand first-order differential-equation solutions1.33%1Knowledge (1)First-Order DEs
2.3 Apply systems of linear differential equations to engineering problems1.33%1Application (1)Applications of DEs
2.4 Explain the physical meaning of double and triple integrals1.33%1Analysis (1)Multiple Integrals
2.5 Evaluate differential equations using Laplace transforms1.33%1Synthesis (1)Laplace Transforms
3 ENGINEERING DATA ANALYSIS
3.1 Describe data and data sets1.33%1Analysis (1)Descriptive Statistics
3.2 Identify important discrete and continuous distributions1.33%1Analysis (1)Probability Distributions
3.3 Estimate parameters1.33%1Synthesis (1)Parameter Estimation
3.4 Interpret a linear regression equation1.33%1Application (1)Linear Regression
3.5 Apply stochastic processes and queuing models1.33%1Application (1)Traffic Flow Theory
4 NUMERICAL METHODS FOR ENGINEERS
4.1 Review linear algebra and the physical meaning of derivatives and integrals1.33%1Analysis (1)Numerical Methods Introduction
4.2 Solve systems of linear equations1.33%1Application (1)Systems of Linear Equations
4.3 Use curve fitting and interpolation methods for engineering applications1.33%1Application (1)Curve Fitting
4.4 Apply numerical differentiation and integration techniques1.33%1Application (1)Numerical Integration
4.5 Evaluate ordinary differential equations and boundary-value problems1.33%1Synthesis (1)Ordinary Differential Equations
5 PHYSICS FOR ENGINEERS
5.1 Apply Newton's Laws of motion to engineering problems1.33%1Application (1)Newton's Laws
5.2 Determine work done by variable forces and apply Hooke's Law1.33%1Application (1)Work & Energy
5.3 Use conservation of energy for engineering applications1.33%1Application (1)Work & Energy
5.4 Assess linear and angular momentum problems1.33%1Analysis (1)Impulse & Momentum
5.5 Develop calculus-based solutions in statics and kinematics1.33%1Application (1)Kinematics
6 ENGINEERING ECONOMICS
6.1 Recognize compounding and equivalence relationships1.33%1Application (1)Time Value of Money
6.2 Compute NPV, ROR, payback period, and benefit-cost ratio1.33%1Analysis (1)Economic Analysis
6.3 Determine optimal choices among investment alternatives1.33%1Application (1)Comparing Alternatives
6.4 Estimate equipment replacement and retirement1.33%1Synthesis (1)Replacement Analysis
6.5 Incorporate depreciation and taxes in analysis1.33%1Application (1)Depreciation
7 CONSTRUCTION SURVEYING AND LAYOUT
7.1 Recall fieldwork practices, measurements, and surveying equipment1.33%1Knowledge (1)Introduction to Surveying
7.2 Compute traverses1.33%1Analysis (1)Traverse Surveying
7.3 Construct and calculate horizontal and vertical curves1.33%1Evaluation (1)Horizontal Curves
7.4 Explain layout techniques and field observations1.33%1Application (1)Surveying Fieldwork
7.5 Develop sound construction-control methodologies1.33%1Application (1)Project Lifecycle
8 MATERIALS FOR CONSTRUCTION
8.1 Review concrete materials, accessories, formwork, scaffolding, and reinforcement1.33%1Analysis (1)Concrete Technology
8.2 Estimate concrete masonry, mortar, grout, and masonry work1.33%1Synthesis (1)Quantity Takeoff
8.3 Analyze mixing, handling, transporting, placing, and consolidating concrete1.33%1Application (1)Construction Methods
8.4 Determine properties of iron and steel and review steel erection1.33%1Application (1)Structural Steel
8.5 Specify lumber, plywood, glulam, and other panels1.33%1Analysis (1)Wood & Timber
9 HIGHWAY ENGINEERING
9.1 Recall highway policies and administration1.33%1Knowledge (1)Highway Engineering Introduction
9.2 Review geometric design standards1.33%1Analysis (1)Geometric Design
9.3 Determine route location1.33%1Application (1)Route Location
9.4 Design and construct pavements1.33%1Evaluation (1)Flexible Pavement Design
9.5 Design drainage, foundations, embankments, and cut slopes1.33%1Evaluation (1)Highway Construction & Maintenance
10 CONSTRUCTION OCCUPATIONAL SAFETY AND HEALTH
10.1 Enumerate construction injuries, causes, and costs1.33%1Application (1)Introduction to OSH
10.2 Recall R.A. No. 11058 and its salient OSH compliance provisions1.33%1Knowledge (1)OSH Legislation
10.3 Identify construction-safety problem areas and effective program elements1.33%1Analysis (1)Safety Planning
10.4 Assess safety issues in contracts, record keeping, culture, and worker practices1.33%1Application (1)Safety Management
10.5 Evaluate management practices, coordination, and construction safety1.33%1Application (1)Safety Management
11 TRANSPORTATION ENGINEERING
11.1 Review urban transportation planning1.33%1Analysis (1)Transportation Planning
11.2 Analyze transportation networks1.33%1Analysis (1)Traffic Flow Theory
11.3 Perform quantitative methods for transportation engineering1.33%1Application (1)Transportation Economics
11.4 Evaluate intermodal transportation networks1.33%1Synthesis (1)Transportation Systems
11.5 Understand methods used to prepare building, bridge, and construction cost estimates1.33%1Evaluation (1)Cost Estimating
12 QUANTITY SURVEYING
12.1 Understand methods used to prepare building, bridge, and construction cost estimates1.33%1Comprehension (1)Types of Estimates
12.2 Review specifications, plans, and details1.33%1Analysis (1)Interpretation of Plans
12.3 Analyze unit costs for labor, materials, and equipment1.33%1Analysis (1)Direct Costs
12.4 Apply detailed quantity-survey methods1.33%1Application (1)Quantity Takeoff
12.5 Create a summary of total project costs1.33%1Evaluation (1)Indirect Costs & Contingencies
13 CONSTRUCTION PRINCIPLES
13.1 Enumerate general design requirements1.33%1Application (1)Building Systems Introduction
13.2 Review general conditions of construction contracts1.33%1Analysis (1)Construction Contracts
13.3 Estimate labor, materials, and other quantities1.33%1Synthesis (1)Quantity Takeoff
13.4 Design project organization, cost controls, and documentation systems1.33%1Evaluation (1)Project Planning & Scheduling
13.5 Interpret value-engineering analysis models1.33%1Comprehension (1)Value Engineering
14 CONSTRUCTION TRADES AND SPECIALTIES
14.1 Recall basic plumbing design, construction, and installation1.33%1Knowledge (1)Water Supply Systems
14.2 Classify plastics for construction1.33%1Analysis (1)Glass & Plastics
14.3 Select door and window details for proper application1.33%1Application (1)Architectural Plans
14.4 Identify finishing materials for construction1.33%1Analysis (1)Advanced Materials
14.5 Recall basic electrical design, construction, and installation1.33%1Analysis (1)Electrical Systems
15 CONSTRUCTION EQUIPMENT AND METHODS
15.1 Define ground-engineering methods and excavating/material-handling equipment1.33%1Application (1)Earthworks
15.2 Determine concrete-production and pavement-construction equipment and methods1.33%1Application (1)Construction Methods
15.3 Analyze bridge-design and construction methodologies1.33%1Analysis (1)Bridge Engineering Introduction
15.4 Analyze production capacities of excavating, lifting, loading, and hauling equipment1.33%1Analysis (1)Construction Equipment
15.5 Evaluate compressed-air and water systems1.33%1Synthesis (1)Water Supply Systems
SUBTOTAL (MSTE)100%75K(5), C(2), AP(30), AN(23), S(9), E(6)
Key Takeaways
  • MSTE carries 35% of the current CELE.
  • The official TOS contains 75 items distributed across 15 competency groups.
  • The internal links are navigation aids; the PRC TOS remains the authoritative scope.
  • Because MSTE is broad, coverage discipline matters more than over-investing in one favorite subfield.