A.

MATHEMATICS AND SURVEYING

Mathematics
1.0 Algebra 5.0 Differential Equations
1.1 Set Theory* 5.1 First Order Differential Equation
1.2 Real Numbers 5.1.1 Exact Differential Equation
1.3 Algebraic Expressions and Operations 5.1.2 Integrating Factors**
1.4 Equations and Inequalities 5.1.3 Separable Variables
1.5 Roots and Powers 5.1.4 Homogeneous Differential Equations
1.6 Linear, Quadratic and Polynomial Functions 5.1.5 Linear Differential Equations
1.7 Factoring 5.1.6 Applications
1.8 Roots of Algebraic Equations 5.2 Higher Order Differential Equations
1.9 System of Equations
1.10Logarithmic and Exponential Functions 6.0 Other Topics
1.11Arithmetic and Geometric Progressions 6.1 Infinite Series
6.1.1 Molaurin Series
2.0 Trigonometry 6.1.2 Taylor Series
2.1 Circular (Trigonometric) Functions 6.1.3 Fourier Series
2.2 Trigonometric Identities and Equations 6.2 Complex Variables**
2.3 Solution of Triangles 6.3 Vector Analysis
2.4 Hyperbolic Functions 6.4 Matrices*
6.5 Determinants*
3.0 Analytic Geometry 6.6 Probability and Statistics
3.1 Cartesian Coordinate System
3.2 Functions and Relations 7.0 Engineering Economy
3.3 Functions and their Graphs 7.1 Present Economy Study
3.4 Straight lines 7.2 Time-Value Relations
3.5 Conic Sections 7.3 Selection Among Alternatives
3.6 Polar Coordinates 7.3.1 Present Worth Method
3.7 Transformation of Coordinates 7.3.2 Annual Worth Method
3.8 Parametric Equations 7.3.3 Future Worth Method
7.3.4 Internal Rate of Return Method
4.0 Calculus 7.3.5 External Rate of Return Method
4.1 Differential Equations
4.1.1 Limits and Continuity
4.1.2 Derivatives and Differentiation
4.1.3 Application of Derivatives
4.1.4 The Differential
4.1.5 Partial Derivatives
4.2 Integral Calculus
4.2.1 Theory of Integrals
4.2.2 Integration Methods
4.2.3 Definite Integrals and Applications
4.2.4 Line and Surface Integrals
4.2.5 Multiple Integrals
 Surveying
1.0 Surveying Concepts 4.0 Engineering Surveys
1.1 Uses of Surveys 4.1 Topographic Survey
1.2 Operations in Surveying 4.1.1 Horizontal Control
1.3 Measurement and Adjustments 4.1.2 Vertical Control (contours)
1.4 Field and Office Work 4.1.3 Location of Details
1.5 Surveying Instruments 4.2 Route Surveying
4.2.1 Horizontal Curves
2.0 Basic Surveying Measurements 4.2.1.1 Simple Curves
2.1 Distance Measurements 4.2.1.2 Compound Curves
2.1.1 Pacing 4.2.1.3 Superelations
2.1.2 Distance Measurement with Tape 4.2.1.4 Spiral Curves
2.2 Vertical Distance Measurement; Leveling 4.2.2 Vertical Curves
2.3 Angle and Direction Measurement 4.2.3 Earthwork Operations
2.3.1 Location of Points 4.2.3.1 Methods of Determining
2.3.2 Meridians Earthwork Volumes
2.3.3 Bearing and Azimuth 4.2.3.2 Borrow Pits
2.3.4 Magnetic Declination 4.3 Hydrographic Surveys
2.3.5 Instruments Used 4.3.1 Datum
2.3.5.1 Engineers Transit 4.3.2 Soundings
2.3.5.2 Theodolite
2.4 Stadia and Tacheometry
2.4.1 Principles of Stadia
2.4.2 Plane Table and Alidade

3.0 Survey Operations

3.1 Traverse
3.1.1 Deflection Angle Traverse
3.1.2 Interior Angle Traverse
3.1.3 Traverse by Angle to the Right
3.1.4 Azimuth Traverse
3.1.5 Compass Traverse
3.1.6 Stadia Traverse
3.1.7 Plane Table Traverse
3.2 Calculation of Areas of Land
3.2.1 Area by Triangle
3.2.2 Area by Coordinates
3.2.3 Area by Double Meridian Distance
(DMD) and Latitude
3.2.4 Irregular Boundaries (Simpson’s and
Trapezoidal Rules)
3.3 Triangulation and Trilateralization
3.3.1 Horizontal Control System
3.3.2 Triangulation Figures and Procedures
3.3.3 Error Propagation
3.3.4 Trilateralization
3.4 Astronomical Observation
3.4.1 Celestial Sphere
3.4.2 Equator System
3.4.3 The PZS Triangle
3.4.4 Aximuth and Hour Angle at Elongation
3.4.5 Time
3.4.6 Solar Observation
3.4.7 Stellar Observation
 B. HYDRAULICS
1.0 Fluid Mechanics 5.0 Water Supply and Sewerage
1.1 Properties of Fluids 5.1 Fundamental Concept
1.2 Fluid Statics 5.1.1 Mathematics of Growth (Population
1.3 Fluid Flow Concepts and Basic Equations Forecasting)
1.4 Dimensionally Analysis and Dynamic Similitude 5.1.2 Environmental Chemistry
1.5 Viscous Flow and Fluid Resistance 5.1.3 Mass and Energy Transfer
1.6 Ideal Fluid Flow 5.2 Water Supply and Treatment
1.7 Steady Flow in Closed Conduits 5.2.1 Components of Water Supply System
1.8 Steady Flow in Open Channels 5.2.1.1 Water Reservoir and Storage
5.2.1.2 Water Distribution System
2.0 Hydrology 5.2.1.3 Water Containment Structures
2.1 Hydrologic Cycle 5.2.2 Water Consumptions Periods of Design
2.1.1 Precipitation 5.2.3 Pre-treatment Methods
2.1.2 Streamflow 5.2.4 Principles of Sedimentation
2.1.3 Evaporations 5.2.5 Sedimentation Tank Design
2.1.4 Transpiration 5.2.6 Coagulation-Sedimentation
2.2 Hydrograph Analysis 5.2.7 Slow Sand Filtration
2.2.1 Runoff 5.2.8 Rapid Sand Filtration
2.2.2 Storage Routing 5.2.9 The Rapid Sand Filter
2.3 Groundwater 5.2.10 Underdrain System
5.2.11 Wash Troughs
3.0 Hydraulics, System and Structure 5.2.12 The Washing Process
3.1 Reservoirs 5.2.13 Clear Well and Plant Capacity
3.2 Dams 5.2.14 Water Disinfection
3.3 Spillways, Gates, and Outlet Works 5.3 Waste Water Treatment
3.4 Open Channels 5.3.1 Quantity
3.5 Pressure Conduits 5.3.2 Methods
3.6 Hydraulics Machinery 5.3.3 Theory of Activated Sludge
5.3.4 Aration Tank
4.0 Irrigation, Flood Control and Drainage 5.3.5 Biokinetic Parameters*
4.1 Irrigation 5.3.6 Clarifiers
4.1.1 Water Requirement
4.1.2 Soil-Water Relation
4.1.3 Water Quality
4.1.4 Methods
4.1.5 Structures
4.2 Flood Control
4.2.1 Design Flood
4.2.2 Flood Control Structures
4.3 Drainage
4.3.1 Estimate of Flow
4.3.2 Storm Drainage
4.3.3 Land and Highway Drainage
4.3.4 Culvets and Bridges
4.3.5 Drainage Structures
 C. DESIGN AND CONSTRUCTION
1.0 Statics of Rigid Bodies 3.0 Mechanics
1.1 Force System 3.1 Stresses and Strains
1.1.1 Concurrent and Non-current Force 3.2 Material Properties
System 3.3 Axially Loaded Members
1.1.2 Parallel and Non-parallel Force System 3.4 Thin Walled Pressure Vessels
1.1.3 Planar and Three Dimentional Force 3.5 Torsional Stresses
System 3.6 Internal Forces and Stresses in Beams
1.1.4 Distributed Forces 3.6.1 Flexural Stress
1.1.5 Frictional Forces 3.6.2 Shear Stress
1.2 Equilibrium of Forces 3.6.3 Combined Stresses
1.2.1 Reactions 3.6.4 Principal Stresses
1.2.2 Free Body Diagram 3.6.5 Unsysmetrical Banding
1.2.3 Two Force Bodies 3.7 Deflections
1.2.4 Three Force Bodies 3.7.1 Double Integration Methods
1.3 Truss Analysis 3.7.2 Area Moment Method
1.3.1 Method of Joints 3.7.3 Conjugate Beam Method
1.3.2 Method of Sections 3.8 Statistically Indetermine Beams
1.3.3 Graphical Methods 3.9 Shear Center
1.4 Beams and Frames 3.10 Curved Beams
1.4.1 Reactions 3.11 Nonhomogenous Beams
1.4.2 Shear Diagrams 3.12 Impact Loading
1.4.3 Bending Moment Diagrams 3.13 Stress Concentration
1.5 Related Topics 3.14 Repeated Loading
1.5.1 Moment of Lines and Areas 3.15 Elastic Instability (Buckling)
1.5.2 Centroids 3.16 Analysis of Connections
1.5.3 Moments of Inertia 3.16.1 Riveted and Bolted Connections
1.5.4 Center of Mass 3.16.2 Welded
1.5.5 Center of Forces
4.0 Structural Analysis
2.0 Dynamics of Rigid Bodies 4.1 Loadings
2.1 Kinematics of Particles 4.1.1 Verical Loads (dead and live loads)
2.1.1 Rectilinear Motion 4.1.2 Lateral Loads (Wind and Earthquake
2.1.2 Curvilinear Motion Loads)
2.2 Kinetics of Particles 4.1.3 Impact Loads
2.2.1 Newton’s Second Law 4.2 Energy Methods for Deformation Analysis
2.2.2 Dynamic Equilibrium 4.2.1 Castigliano’s Theorem
2.2.3 Work and Energy Principle 4.2.2 Virtual Work Method (Unit Load)
2.2.4 Kinetic and Potential Energy 4.3 Influence Lines
2.2.5 Impulse and Momentum Principle 4.4 Frame Analysis
2.3 Kinematics of Rigid Bodies 4.4.1 Approximate Methods
2.3.1 Translation 4.4.2 Exact Methods*
2.3.2 Rotation 4.4.3 Moment Distribution
2.3.3 General Plane Motion 4.5 Stiffness and Flexibility Methods of Analysis**
2.4 Kinetics of Rigid Bodies 4.5.1 Trusses
2.4.1 D’Lambert’s Principle 4.5.2 Beams
2.4.2 Work and Energy Principle 4.5.3 Frames
2.4.3 Impulse and Momentum Principle
5.0 Design of Timber Structures 8.0 Soil Mechanics and Foundation
5.1 Properties of Wood 8.1 Soil Properties
5.2 Design of Tension Member 8.2 Soil Classification
5.3 Design of Bending Members 8.3 Flow of Water in Soils
5.3.1 Laterally Supported Beams 8.3.1 Permeability
5.3.2 Laterally Unsupported Beams 8.3.2 Seepage
5.4 Design of Compression Members 8.3.3 Effective and Porewater Pressure
5.4.1 Short Columns 8.4 Soil Strength
5.4.2 Slender Columns 8.4.1 Shear Strength
5.4.3 Spaced Columns 8.4.2 Bearing Capacity
5.5 Timber Connections 8.5 Compressibility of Soils
8.5.1 Elastic Settlement
6.0 Design of Steel Structures 8.5.2 Consolidation Settlement
6.1 General 8.6 Soil Improvement
6.1.1 Properties of Structural Steel 8.6.1 Compaction
6.1.2 Design Philosophy 8.6.2 Soil Stabilization
6.1.2.1 Allowable Stress Design 8.7 Earth Pressures and Retaining Wall
6.1.2.2 Load and Resistance Factor Design 8.8 Slope Stability Analysis
6.2 Tension Members
6.3 Connections 9.0 Design of Civil Engineering Structures and Systems
6.3.1 Bolted 9.1 Transportation Engineering**
6.3.2 Welded 9.1.1 Highway and Urban Transportation
6.4 Compression Members Planning and Economics**
6.5 Beams 9.1.2 Driver, Vehicle, Traffic and Road
6.5.1 Compact Sections Characteristics**
6.5.2 Non-compact Sections 9.1.3 Highway Design
6.6 Beam Columns 9.1.4 Traffic Engineering and Highway
6.7 Plastic Analysis and Limit Design* Operations**
6.8 Composite Steel and Concrete 9.1.5 Road and Pavement Design
9.2 Airport Engineering**
7.0 Reinforced Concrete Structures 9.3 Ports and Harbors
7.1 General 9.4 Containment Structures (Tanks, soils, storage
7.1.1 Properties of Concrete Materials tanks)
7.1.2 Design Philosophies and Procedures 9.5 Bridges
7.2 Flexural Analysis and Design
7.3 Shear and Diagonal Tension 10.0 Construction and Management
7.4 Bond, Anchorage Development Lengths 10.1 Engineering Relations and Ethics**
7.5 Serviceability Requirements 10.2 Contracts & Specifications
7.5.1 Crack Control 10.3 Construction Project Organization
7.5.2 Deflections 10.4 Planning and Scheduling (PERT/CPM)
7.6 Columns 10.5 Construction Estimates
7.6.1 Short Columns 10.6 Construction Methods & Operations
7.6.2 Slender Columns 10.7 Construction Equipment Operations and
7.7 Slabs Maintenance
7.8 Footings
7.9 Retaining Wall
7.10 Prestressed Concrete