LIST OF TOPCS (GUDE)
CELE 2022
MATH
DIFFERENTIAL CALCULUS
Derivatives
Maxima/Minima
Related Rates
Optimizations
INTEGRAL CALCULUS
Antiderivatives
Arc Length
Area under a curve
Solids of Revolution (Volume)
Centroid/ Moments of Inertia
DIFFERENTIAL EQUATIONS
Intro and Def. of DE
Solution of 1st order DE
Variable Separable
Exact & Linear Equation
Bernoullis Equation
Decomposition /Growth
Law of Cooling
Mixing
Electric Circuits
LDE of Order n
Laplace Transforms
EDA
Obtaining Data
Probability
Distributions
Probability Distr.
Sampling Distr./Point Est.
Statistical Intervals
Simple Linear Regression
ECONOMICS
Interest and Annuity
Depreciation
Inflation
ROI
Stocks/Bonds
SURVEYING
Measurement
Probable Value
Tape Correction
Leveling
Curvature and Refraction
Stadia
DMD/DPD
Traverse
Compass/Transit Rule
Earthworks
TRANSPO
Horizontal Curve
Vertical Curve
Accident Analysis
Pavement Design
Sight Distance
Railroad Engineering
Ports and Harbor
MISC
Highway Engineering
Materials for Const.
COSH
Quantity Surveying
CMPM
GEO /HYDRO
GEOTECHNICAL
Soil Properties
Soil Classification
Permeability of Soil
Stress in Soil Mass
Soil Strength
Consolid. / Compress.
Compaction
Bearing Capacity
Lateral Earth Pressure
Slope Stability
HYDRAULICS
Fluid Properties
Hydrostatic (Plane)
Hydrostatic (Curve)
Buoyancy and Floatation
Equilibrium of Fluids
Hydrodynamics
Dams
Fluid Flow/ Pipes
Energy
Head Loss
Orifice and Tubes
Wiers
Open Channels
Additional Review
ALGEBRA
Miscellaneous Math
Arithmetic/Geometric Series
Word Problems
Permutation/Combination
Probability and Statistics
Probability Distribution
TRIGO
Trigonometric Functions
Inscribed/Circumscribed
Spherical Trigonometry
GEOMETRY
2D
3D
Circles
Conic Sections
Polar Coordinates
DESIGN 2
MECHANICS
Statics (2D)
Statics (3D)
Cables and Trusses
Friction
Kinematics
Kinetics
S.O.M.
Stress and Strain
Thin-Walled Vessel
Torsion
Helical Spring
Flexural Fiber Stress
Transverse Shear Stress
Composite Beams
Mohr’s Circle
THEORY OF STRUCT.
Stability
DIM
AMM
Conjugate Beam
Superposition
Virtual Work: Beams
Virtual Work: Trusses
3 Moment Equation
Fixed-End Moments
Influence Line: Beams
Influence Line: Truss
STEEL BEAM/CONNECT
Introduction
Bending Stress
Compressive Stress
Steel Columns
Purlins
Bolts
Welds
RCB
Singly-Reinforced
Doubly-Reinforced
T-Beams
Shear
Slabs
Columns
Columns w/ Bending
Footings
Moments in Footings
Pile Footings
MISC
Prestressed Concrete
ConsMat Testing
NSCP Applications
ELM
Prepared by:
ELM