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Civil

**Analytic Geometry:**

Straight Line

Conics

Circle

Parabola

Hyperbola

Distance Formula

**Single-Variable Calculus:**

Limits

Derivatives

Applications of Derivatives

Indefinite Integration

Definite Integration

**Vector Operations:**

Unit Vector

Vector Addition

Dot Product

Cross Product

**Statistics:**

Probability- Concepts

Binomial Distribution

Normal Distribution

t-distribution

Mean, Median, Mode

Standard Deviation

Linear Curve Fitting

Coefficient of Correlation

**Codes of Ethics:**

NCEES Model Law

Professional and Technical Societies

Ethical and legal Considerations

**Professional Liability:**

**Licensure:**

**Contracts and Contract Law:**

Agreements and Contracts

**Time Value of Money:**

DCF Factors

NPV

Inflation

**Cost Types and Breakdowns:**

Fixed and Variable Cost

Incremental Cost

Average Cost

Sunk Cost

**Economic Analyses:**

Cost-benefit Analysis

Breakeven Analysis

Minimum Cost

Overhead life cycle

**Uncertainty:**

Expected Value

Risk

**Resultants of Force Systems:**

Resolution of Forces

Resultant of Forces

Moment of a Force

Couple

**Equivalent Force Systems:**

Types of Loads

FBD

**Equilibrium of Rigid Bodies:**

Types of Supports

Static Equilibrium

Lami's Theorem

Virtual Work

**Frames and Trusses:**

Method of Joints

Method of Section

**Centroid of Area:**

Centroid of Basic Shapes

Centroid of a Composite Area

**Area Moments of Inertia:**

Area Moments of Inertia

Perpendicular Axes Theorem

Parallel Axis Theorem

**Static Friction:**

**Kinematics:**

Instant. Velocity and Acc

Tangential & Normal Acc

Constant Acc Motion

Variable Acc Motion

Relative Motion

Uniform Circular Motion

Projectile Motion

Kinematics of Rigid Bodies

**Mass Moments of Inertia:**

Moment of Inertia of a Point Mass

Mass Moment of Inertia of a Rigid Body

Mass Radius of Gyration

Parallel Axis Theorem

Perpendicular Axis Theorem

**Force Acceleration:**

Laws of Kinetic Friction

Inclined Plane Motion

One-Dimensional Motion of a Particle

Linear and Angular Momentum

Impulse-Momentum Equation

**Work, Energy, and Power:**

Kinetic Energy

Potential Energy

Work

Power and Efficiency

Conservation of Energy

**SFD/BMD:**

Definitions

Rules & Observations

Procedure to Draw SFD/BMD

Beam- Central Point Load

Beam- Point Load Anywhere

Beam- UDL

**Stress-Strain:**

Stress

Strain

Poisson's Ratio

Elastic Constants

Factor of Safety

Bending Equation

Torsional Shear Stress

Shear Stresses in Beams

Thermal Expansion of Metals

**Deformations:**

Deflection of Beams

Beam Deflection Formulae

**Combined Stresses:**

Direct & Shear Stress

Principal Planes/Stresses

Mohr's Circle

Axial & Bending Stresses

**Deformations:**

Elastic/Plastic Deformation

Mix Design of Concrete and Asphalt

**Mix Design of Concrete and Asphalt:**

**Test Methods/Specs:**

**Physical/Mech Properties:**

Physical Propeties

Mechanical Properties

**Flow Measurement:**

Pitot Tube

Venturi Meter

Weir

**Fluid Properties:**

Common Fluid Properties

Newton's Law of Viscosity

Surface Tension and Capillarity

**Fluid Statics:**

Pascal's Law

Pressure Measurement

Hydrostatic Forces on Submerged Surfaces

Archimedes Principle and Buoyancy

**Energy, Impulse, and Momentum:**

Continuity Equation

Momentum Equation

Angles, Distances, and Trigonometry

**Angles, Distances, and Trigonometry:**

Trigonometry

**Area Computations:**

Triangle Method

**Earthwork and Volume Computations:**

Earthwork

Volume

**Coordinate Systems:**

State Plane

Latitude/Longitude

**Leveling:**

Differential

Elevations

Percent Grades

**Basic Hydrology:**

Infiltration

Rainfall

Runoff

Watersheds

**Basic Hydraulics:**

Manning's Equation

Bernoulli Theorem

Open-channel Flow

**Pumps:**

Centrifugal Pumps in Series

Centrifugal Pumps in Parallel

Efficiency of a Centrifugal Pump

Net Positive Suction Head

Pump Work Calculations

Specific Speed of a Pump

**Water Distribution Systems:**

**Flood Control:**

Dams

Routing

Spillways

**Stormwater:**

Detention

Stormwater Routing

Stormwater Quality

**Collection Systems:**

Wastewater Collection Systems

Stormwater Collection Systems

**Groundwater:**

Flow

Wells

Drawdown

**Water Quality:**

Ground and Surface

Basic Water Chemistry-pH

**Testing and Standards:**

Water Standards and Testing

Wastewater Standards and Testing

Noise Standards and Testing

**Water and Wastewater Treatment:**

Biological Processes

Softening

**Static Determinancy:**

**Deflection:**

**Column Analysis:**

**Stability Analysis:**

Buckling
Equivalent Length

**Indeterminate Structures:**

Force Method of Analysis

Member Fixed-End Moments

**Load Combinations/Paths:**

Load Paths

Load Combinations

Tributary Areas

**Steel Components:**

Tension Members

Connections

**RC Components:**

Codes and Design Philosophies

Beams

Columns

Index Properties and Soil Classifications

**Index Properties and Soil Classifications:**

Index Properties

Soil Classification

**Phase Relations:**

Volume Relations

Weight Relations

**Laboratory and Field Tests:**

**Effective Stress:**

**Stability of Retaining Structures:**

Active/Passive/At-Rest Pressure

**Shear Strength:**

**Bearing Capacity:**

Shallow Foundation

Deep Foundation

**Foundation Types:**

Spread Footings

Deep Foundations

Wall Footings

Mats

**Consolidation/Diff Settlement:**

**Slope Stability:**

Fills

Embankments

Cuts

Dams

**Soil Stabilization:**

Soil Erosion

Chemical Additives

Geosynthetics

**Geometric Design:**

Streets

Highways

Intersections

**Pavement System Design:**

Thickness

Subgrade

Drainage

Rehabilitation

**Traffic Capacity and Flow Theory:**

Flow Characteristics Studies

Capacity Studies

**Traffic Control Devices:**

Signals

**Transportation Planning:**

Travel Forecast

Safety

Trip Generation

**Project Administration:**

Documents

Management

Procurement

Delivery Methods

**Construction Operations and Methods:**

Safety

Equipment

Productivity Analysis

Temp. Erosion Control

**Project Controls:**

Earned Value

Scheduling

Resource Allocation

Activity Relationships

**Construction Estimating:**

Requirements

Methods

**Interpretation of Engg Drawings:**

Elements of Engg Drawing

Stay tuned for upcoming lecture series.