Mathematics

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1. Algebra

• Fractions, Decimals & Percentage
• Indices & Standard Form
• Partial Fractions
• Simple Equations
• Simultaneous Equations
• Quadratic Equations
• Logarithms
• Exponential Functions
• Number Sequences
• Binomial Series
• Matrices & Determinants

2. Geometry/Analytic Geometry

• Theorems & Principles
• Problem Solving in Geometry
• Geometric Shapes and Measurement
• Reasoning and Triangle Congruence
• Parallel Lines and Quadrilaterals
• Similarity
• Circles
• Coordinate Geometry
• Transformation Geometry
• Conics
• The Parabola
• The Ellipse
• The Hyperbola
• Rotation of Axes; General Form of a Conic
• Polar Equations of Conics
• Plane Curves and Parametric Equations

3. Trigonometry

• The Distance and Midpoint Formulas
• Graphs of Equations; Circles
• Functions and Their Graph
• Properties of Functions
• Angles and Their Measure
• Trigonometric Functions
• Applications Involving Right Triangles
• Law of Sines
• Law of Cosines
• Area of a Triangle
• Polar Coordinates
• Polar Equations and Graphs
• The Complex Plane; DeMoivre?s Theorem
• Vectors
• The Dot Product
• Vectors in Space
• The Cross Product

4. Differential Calculus

• Introduction to Calculus
• Functional Notation
• Gradient of Curve
• Differentiation from first Principle
• Differentiation by the General Rule
• Differentiation of sine and cosine functions
• Differentiation of common functions
• Differentiation of product & quotient
• Successive differentiation

5. Integral Calculus

• Standard Integration
• Integration Using Algebraic substitution
• Integration Using Trigonometric substitution
• Integration Using Partial Fractions
• The substitution
• Integration by Parts
• Numerical Integration
• Worked Problems on Integration

6. Probability & Statistics

• Introduction to Probability
• Laws of Probability
• Worked Problems on Probability
• Binomial Poisson Distribution
• The Normal Distribution
• Linear Correlation
• Linear Regression
• Sampling & Estimation Theories
• Presentation of Statistical Data
• Mean, Meridian and mode of discrete data
• Standard Deviation

7. Strength of Materials

• Shear & Moment Diagrams
• Stress Types (e.g. normal, shear, bending, torsion)
• Stress Strain caused by:
  => Axial
  => Bending loads
  => Torsion
  => Shear
  
• Deformations (e.g., axial, bending, torsion)
• Combined Stress
• Columns
• Indeterminant Analysis
• Plastic versus elastic deformation

8. Thermodynamics

• Thermodynamic Laws (e.g., 1st Law, 2nd Law)
• Energy, heat and work
• Availability and reversibility
• Cycles
• Ideal gases
• Mixture of gases
• Phase changes
• Heat transfer
• Properties of Enthalpy and Entropy

9. Economics

• Cash Flow
• Time value of money
• Discount factors and equivalence
• Functional notation
• Nonannual compounding
• Continuous compounding
• Depreciation
• Book Value
• Equivalent Uniform Annual Cost
• Capitalized Cost
• Bonds
• Inflation
• Probabilistic Problems
• Alternative Comparisons
• Present Worth Analysis
• Annual Cost Anlysis
• Rate of Return Analysis
• Benefit-Cost Analysis
• Break-Even Analysis

10. Advanced Mathematics

• Differential Equations
• Laplace Transform
• Inverse Laplace Transform
• Fourier Series
• Partial Differential Equations

1. DC Circuits

• Introduction to DC Circuits
• Basic Electricity
• Resistors in Series
• Resistors in Parallel
• Parallel & Series Combination
• Magnetism
• Charge, energy, current, voltage and power
• Work done in moving a charge in an electric field
• Force between charges
• Network Theorems

2. AC Circuits

• Inductance
• Capacitance
• Series RL
• Series RC
• Series RLC
• Parallel RL
• Parallel RC
• Parallel RLC
• Transient Analysis

3. Electronic Devices I

• Semiconductors
• Diode Theory
• Diode Circuits
• Special Purpose Diodes
• Bipolar Transistor
• Transistor Fundamentals
• Transistor Biasing
• AC Model Analysis
• Voltage Amplifiers
• Power Amplifiers
• Emitter Followers

4. Electronic Devices II

• Junction Field Effect Transistors (JFET)
• MOSFETs
• Thyristors
• Frequency Effects
• Differential Amplifiers
• Operational Amplifiers
• Negative Feedback
• Linear Op-amp Circuits
• Active Filters
• Non-Linear Op-Amp Circuits
• Oscillators
• Regulated Power Supplies

5. Digital Circuits I

• Introduction to Digital Concepts
• Number Systems
• Operations and Codes
• Logic Gates
• Boolean Algebra
• Logic Simplification
• Combinational Logic
• Functions of Combinational Logic
• Introductions to Programmable Logic Devices

6. Digital Circuits II

• Flip-Flops and related Devices
• Counters
• Shift Registers
• Sequential Logic Applications of PLDs
• Memory and Storage
• Interfacing
• Introduction to Microprocessors
• Introduction to Computers
• Integrated Circuit Technologies

7. Programmable Logic Controller (PLC)

• PLC and Electrical Safety
• Electrical Principles and PLC
• Electrical Circuits and PLC
• PLC Hardware
• PLC Programming Instructions
• Programming PLC Timers and Counters
• PLC and System Interfacing
• PLC Installation and Startup
• PLC and System Maintenance
• Troubleshooting Principles and Test Instruments
• Troubleshooting PLC Hardware
• Troubleshooting with PLC Software

8. Microprocessor

• Introduction to Microprocessors
• The Microprocessor and its Architecture.
• Addressing Modes
• Data Movement Instructions
• Arithmetic and Logic
• Program Control Instructions
• Using Assembly Language with C/C++
• Programming the Microprocessor
• 8086/8088 Hardware Specifications
• Memory Interface
• Basic I/O Interface
• Interrupts
• Direct Memory Access and DMA-Controlled I/O.
• The Arithmetic Coprocessor, MMX, and SIMD Technologies
• Bus Interface.
• The 80186, 80188, and 80286 Microprocessors
• The 80386 and 80486 Microprocessors
• The Pentium and Pentium Pro Microprocessors
• The Pentium II, Pentium III, and Pentium 4 Microprocessors

9. Advanced Circuit Analysis

• Basic Circuit Laws
• Circuit Analysis Methods
• Capacitive and Inductive Transients
• Initial, Final and First-Order Circuits
• Applications Using Laplace Transforms
• Circuit Analysis with Laplace Transform
• Transfer Functions
• Sinusoidal Steady-State Analysis
• Frequency Response Analysis and Bode Plots
• Waveform Analysis
• Applications Using Fourier Analysis

10. Electronic Circuit Design

• Basic Concepts
• Ideal Operational Amplifiers
• Semiconductor Diode Circuit Analysis
• Bipolar Junction Transistor Circuits
• BJT Amplifiers
• Field-Effect Transistor Amplifier
• Bias Stability of Transistor Amplifiers
• Power Amplifiers and Power Supplies
• Practical Operational Amplifiers
• Frequency Behavior of Transistor Amplifiers
• Feedback and Stability
• Active Filters
• Quasi-Linear Circuits
• Pulsed Waveforms and Timing Circuits
• Digital Logic Families
• Digital Integrated Circuits

1. Communication Systems I

• Introduction to Communication Systems
• Radio Frequency (RF) Circuits
• Amplitude Modulation (AM)
• Phase Modulation (PM)
• Frequency Modulation (FM)
• Television

2. Communication Systems II

• Telephone System
• Multiplexing and Multiple Access Techniques
• Transmission Lines
• Antenna
• Radio-Wave Propagation
• Radar Systems
• Cellular System

3. Data & Network Communications

• Introductions to Data Communications & Networking
• Networking Standards and OSI Model
• Transmission Basic and Networking Media
• Network Protocols
• Networking Hardware
• Topologies and Access Methods
• LAN, WAN, Internet Access & Remote Connectivity
• Network Operating Systems
• In-depth TCP/IP Networking
• Troubleshooting Network Problems
• Ensuring Integrity and Availability
• Network Security
• Implementing & Managing Networks

4. Communications Cabling

• Cable Installation Safety
• Basic Standards & Practices
• Facilities Issues
• Cable Ratings & Performance
• Cable Installation
• Cable Management
• Testing & Troubleshooting
• Industry Standards
• Pulling Cables
• Understanding Blueprints

5. Digital Communications

• Introduction to Digital Communications
• Digital Modulation and Modems
• Signal Encoding Techniques
• Fiber Optics
• Personal Communication Systems
• Paging and Wireless Data Networking
• Microwave Devices
• Terrestrial Microwave Communications
• Satellite Communications

6. Modern Wireless Communications

• Fundamentals of Wireless Communications
• Multiple Access Methods
• Wireless Physical Layer
• Terrestrial Broadband Wireless
• FDMA & TDMA Cellular Systems
• 3G Cellular Systems
• Wireless LAN
• Layers 3 & 4 in Wireless Environment
• Emerging Standard (WAP)
• Bluetooth Technology