Table of Specifications: Applied Math, Surveying, Transportation, and Construction
Detailed breakdown of the MSTE board exam competencies, topics, and links to theory.
Applied Mathematics, Surveying, Principles of Transportation and Highway Engineering, Construction Management and Methods
| Competency | Weight | No. of Items | Type (No. of Items) | Topic Link |
|---|---|---|---|---|
| 1 CALCULUS | ||||
| 1.1 Extract the derivatives and interpret the applications of derivatives | 1.33% | 1 | Analysis (1) | Applications of Derivatives |
| 1.2 Apply methods of integration and calculate solutions for definite integrals | 1.33% | 1 | Application (1) | Integration Concepts |
| 1.3 Examine properties of plane curves and hyperbolic functions | 1.33% | 1 | Synthesis (1) | Conic Sections |
| 1.4 Determine and evaluate infinite sequences power series and infinite series | 1.33% | 1 | Application (1) | Infinite Series |
| 1.5 Formulate partial derivatives and differential equations | 1.33% | 1 | Analysis (1) | Differential Calculus Basics |
| 2 DIFFERENTIAL EQUATIONS | ||||
| 2.1 Applying integration for evaluation of areas, volumes of revolution, force, work. | 1.33% | 1 | Application (1) | Applications of Definite Integrals |
| 2.2 Recall and understand solutions to 1st order differential solutions. | 1.33% | 1 | Knowledge (1) | First Order DEs |
| 2.3 Apply systems of linear differential equations to real world problems. | 1.33% | 1 | Application (1) | Applications of DEs |
| 2.4 Explain the physical meaning of double and triple integrals | 1.33% | 1 | Analysis (1) | Multiple Integrals |
| 2.5 Evaluate solutions to differential equations using Laplace transforms | 1.33% | 1 | Synthesis (1) | Laplace Transforms |
| 3 ENGINEERING DATA ANALYSIS | ||||
| 3.1 Describe data and data sets | 1.33% | 1 | Analysis (1) | Descriptive Statistics |
| 3.2 Identify important discrete and continuous distributions | 1.33% | 1 | Analysis (1) | Probability Distributions |
| 3.3 Estimate parameters | 1.33% | 1 | Synthesis (1) | Parameter Estimation |
| 3.4 Interpret linear regression equation | 1.33% | 1 | Application (1) | Linear Regression |
| 3.5 Apply stochastic processes and queuing models | 1.33% | 1 | Application (1) | Queuing Theory |
| 4 NUMERICAL METHODS FOR ENGINEERS | ||||
| 4.1 Review and recall concept in linear algebra and the physical meaning of derivatives and integrals | 1.33% | 1 | Analysis (1) | Linear Algebra Review |
| 4.2 Solve systems of linear equations | 1.33% | 1 | Application (1) | Systems of Linear Equations |
| 4.3 Use curve fitting and interpolation methods for engineering applications | 1.33% | 1 | Application (1) | Curve Fitting |
| 4.4 Apply numerical differentiation and integration techniques | 1.33% | 1 | Application (1) | Numerical Integration |
| 4.5 Evaluate ordinary differential equations and boundary-values problems for engineering case studies. | 1.33% | 1 | Synthesis (1) | Ordinary Differential Equations |
| 5 PHYSICS FOR ENGINEERS | ||||
| 5.1 Apply Newton’s Laws of motion to real world problems | 1.33% | 1 | Application (1) | Newton's Laws |
| 5.2 Determine work done by variable forces, Hooke’s Law | 1.33% | 1 | Application (1) | Work and Energy |
| 5.3 Use the Law of Conservation of Energy for engineering applications | 1.33% | 1 | Application (1) | Conservation of Energy |
| 5.4 Assess problems in linear and angular momentum | 1.33% | 1 | Analysis (1) | Momentum |
| 5.5 Synthesize and develop calculus based solutions in statics and kinematics | 1.33% | 1 | Application (1) | Kinematics |
| 6 ENGINEERING ECONOMICS | ||||
| 6.1 Recognize basic concepts in compounding and equivalence relationship | 1.33% | 1 | Application (1) | Time Value of Money |
| 6.2 Compute for NPV, ROR, Payback Period and Benefit Cost Ratio | 1.33% | 1 | Analysis (1) | Economic Analysis |
| 6.3 Determine optimal choice among investment alternatives | 1.33% | 1 | Application (1) | Comparing Alternatives |
| 6.4 Estimate equipment replacement and retirement | 1.33% | 1 | Synthesis (1) | Replacement Analysis |
| 6.5 Incorporate depreciation and taxes in analysis | 1.33% | 1 | Application (1) | Depreciation and Taxes |
| 7 CONSTRUCTION SURVEYING AND LAYOUT | ||||
| 7.1 Recall fieldworks practices (construction, survey, distance, and angle measurements, surveying equipment) | 1.33% | 1 | Knowledge (1) | Intro to Surveying |
| 7.2 Compute traverses | 1.33% | 1 | Analysis (1) | Traverse Surveying |
| 7.3 Construct and calculate horizontal and vertical curves | 1.33% | 1 | Evaluation (1) | Horizontal Curves |
| 7.4 Explain layout techniques and field observations | 1.33% | 1 | Application (1) | Construction Surveys |
| 7.5 Develop sound construction control methodologies | 1.33% | 1 | Application (1) | Project Organization |
| 8 MATERIALS FOR CONSTRUCTION | ||||
| 8.1 Review concrete materials and accessories, formworks and scaffolding and concrete reinforcement | 1.33% | 1 | Analysis (1) | Concrete Technology |
| 8.2 Estimate concrete masonry, mortar, grout, masonry design and erection | 1.33% | 1 | Synthesis (1) | Materials Estimating |
| 8.3 Analyze mixing, handling, transporting, placing and consolidating concrete | 1.33% | 1 | Application (1) | Concrete Construction |
| 8.4 Determine properties of iron steel, steel erection and construction | 1.33% | 1 | Application (1) | Structural Steel |
| 8.5 Specify lumber, plywood, glulam, and other Panels | 1.33% | 1 | Analysis (1) | Wood and Timber |
| 9 HIGHWAY ENGINEERING | ||||
| 9.1 Recall highway policies and administration | 1.33% | 1 | Knowledge (1) | Highway Administration |
| 9.2 Review geometric design standards | 1.33% | 1 | Analysis (1) | Geometric Design |
| 9.3 Determine route location | 1.33% | 1 | Application (1) | Route Location |
| 9.4 Design and construct pavements | 1.33% | 1 | Evaluation (1) | Pavement Design |
| 9.5 Design drainage, foundations, embankments and cut slopes | 1.33% | 1 | Evaluation (1) | Drainage & Earthwork |
| 10 CONSTRUCTION OCCUPATIONAL SAFETY AND HEALTH | ||||
| 10.1 Enumerate injury accidents, and their causes and cost of construction worker injuries | 1.33% | 1 | Application (1) | Intro to OSH |
| 10.2 Recall Republic Act 11058, An Act of Strengthening Compliance Reinforcement of Occupational Safety and Health Standard Salient Features | 1.33% | 1 | Knowledge (1) | OSH Legislation |
| 10.3 Identify problems areas in construction safety and elements of an effective construction health and safety program | 1.33% | 1 | Analysis (1) | Safety Programs |
| 10.4 Assess safety issues on construction contracts, safety record keeping, safety culture and safe workers | 1.33% | 1 | Application (1) | Safety Management |
| 10.5 Idealize Top Management Practices, Company Activities and Safety, Project Coordination and Construction Safety | 1.33% | 1 | Application (1) | Project Coordination |
| 11 TRANSPORTATION ENGINEERING | ||||
| 11.1 Review concepts in urban transportation planning | 1.33% | 1 | Analysis (1) | Transportation Planning |
| 11.2 Analyze networks | 1.33% | 1 | Analysis (1) | Traffic Flow Theory |
| 11.3 Perform quantitative methods for transportation engineering | 1.33% | 1 | Application (1) | Quantitative Methods |
| 11.4 Evaluate and assess intermodal transportation networks | 1.33% | 1 | Synthesis (1) | Intermodal Systems |
| 11.5 Understand methods used to prepare building, bridge and construction cost estimates. | 1.33% | 1 | Evaluation (1) | Estimating Intro |
| 12 QUANTITY SURVEYING | ||||
| 12.1 Understand methods used to prepare building, bridge and construction cost estimates. | 1.33% | 1 | Comprehension (1) | Types of Estimates |
| 12.2 Review specifications and plans, details | 1.33% | 1 | Analysis (1) | Reading Plans |
| 12.3 Analyze and derive unit costs for labor, material and equipment. | 1.33% | 1 | Analysis (1) | Labor & Equipment Costs |
| 12.4 Apply methods of estimating for detailed quantity surveys. | 1.33% | 1 | Application (1) | Quantity Takeoff |
| 12.5 Create summary of total project costs. | 1.33% | 1 | Evaluation (1) | Summary of Costs |
| 13 CONSTRUCTION PRINCIPLES | ||||
| 13.1 Enumerate General Design Requirements | 1.33% | 1 | Application (1) | Design Requirements |
| 13.2 Review general conditions of the construction contract | 1.33% | 1 | Analysis (1) | Construction Contracts |
| 13.3 Estimate labor, materials and other quantities | 1.33% | 1 | Synthesis (1) | Quantity Takeoff |
| 13.4 Design project organization, cost control procedures and project documentation | 1.33% | 1 | Evaluation (1) | Planning & Scheduling |
| 13.5 Interpret value engineering analysis models | 1.33% | 1 | Comprehension (1) | Value Engineering |
| 14 CONSTRUCTION TRADES AND SPECIALTIES | ||||
| 14.1 Recall basic plumbing design construction and installation | 1.33% | 1 | Knowledge (1) | Plumbing Systems |
| 14.2 Classify and determine plastics for construction | 1.33% | 1 | Analysis (1) | Glass & Plastics |
| 14.3 Select details of doors and windows for proper application | 1.33% | 1 | Application (1) | Doors and Windows |
| 14.4 Identify and select finishing materials for construction | 1.33% | 1 | Analysis (1) | Advanced Materials |
| 14.5 Familiarize basic electrical design, construction and installation | 1.33% | 1 | Analysis (1) | Electrical Systems |
| 15 CONSTRUCTION EQUIPMENT AND METHODS | ||||
| 15.1 Define ground engineering methods, excavating and materials handling equipment | 1.33% | 1 | Application (1) | Earthmoving |
| 15.2 Determine concrete production and equipment and road pavement construction equipment and methods | 1.33% | 1 | Application (1) | Concrete Construction |
| 15.3 Analyze bridge design and construction methodologies | 1.33% | 1 | Analysis (1) | Intro to Bridges |
| 15.4 Analyze production capacities of excavating and lifting equipment and loading and hauling equipment | 1.33% | 1 | Analysis (1) | Equipment Productivity |
| 15.5 Evaluate compressed air and water systems | 1.33% | 1 | Synthesis (1) | Plumbing Systems |
| SUBTOTAL (APPLIED MATH & CONST.) | 100% | 75 | K(5), C(2), AP(30), AN(23), S(9), E(6) |