MATH 2055 DIFF EQ + CSE3048 SIGNALS

• Introduction to Complex Numbers
• Continuous Signals
• Discrete Signals
• Scalar LTI differential equations
• Scalar LTI difference equations
• Matrix LTI differential equations 1: Diagonalizable systems.
• Matrix LTI differential equations 2: NonDiagonalizable systems and Jordan Canonical Form.
• Some Examples
• Dirac Delta Function
• Differentiation and integration of functions
• Periodic Dirac Deltas
• Impulse response for the LTI differential equations.
• Forced LTI differential equations and the convolution integral
• General LTI systems
• Complex signals
• Discrete sinusoid signals
• Vector, sequence and function spaces.
• Continuous time Fourier Series and Transformations
• Properties of Continuous time Fourier Transformations
• Discrete time Fourier Series and Transformations
• Filtering, modulating and demodulating continuous signals
• Experiments in Python on Sound recording, modulation and demodulation.

CSE4117 MICROPROCESSORS

• • Review of Digital Design
  • Registers, Register Banks, Memory and Arithmetic-Logic Units
  • A Verilog Tutorial 1: Circuit Design
  • A Verilog Tutorial 2 : Circuit Simulation
  • Introduction to Altera DE0 nano
  • Basic I/O  Devices
    • 0: Volts, amperes and ground
    • 1: The Seven Segment Monitor
    • 2: Switches and Buttons
    • 3: Keypad
  • Invertebrate: A simple Pocket Calculator
  • Fish: A Calculator with code memory
  • Frog: A Calculator that can load data into registers
  • Reptile CPU
    • Reptile: The Instruction Set
    • Reptile: Example Programs
    • Reptile: The Assembler
    • Reptile-4: The Hardware Design
    • Reptile-8: The Hardware Design
    • Reptile: I/O in Verilog
    • Interfacing Reptile to Memory
    • I/O Mechanism
      • Unsynchronized I/O and Address Mapping
      • Synchronized I/O 1: Polling
      • Synchronized I/O 2: Intrerrupts
  • Bird CPU:  Introduction  to  Stack  Operations
    • Bird: In Logisim
    • Bird: In Verilog
    • Assembler
    • Programming Examples
    • Polling, Glue Logic, and an example application
  • Mammal CPU:Introduction  to interrupts
    • Mammal: In Logisim
    • Mammal: In Verilog
    • Mammal: The Assembler
    • Mammal: Programming Examples
    • Interrupts, Glue logic, and an example application
  • Advanced I/O Devices
    • 4: Keyboard
    • 5: VGA Monitor
  • SDRAM
  • future program

PROBABILITY AND STATISTICS NOTES

• Some Mathematical Preliminaries
• Sample spaces, events, and probability measures
• Random variables
• Functions of a Random Variable
• Moment generating functions
• Some Simple Distributions
• Exponential Family of distributions
• More complicated distributions
• Snedecor’s F-distribution and Student’s t-distribution
• Beta and Dirichlet Distributions
• Multivariate distributions
• Sample mean and sample variance
• Probabilistic inequalities
• Stochastic convergence
• Limit theorems
• Statistical inference
• Expectation maximization
• Hypothesis testing
• Linear regression

 

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Birol’s Space

• AES Encryption
• Test Bench Code for AES 
• AES from Kilt’s book

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Others

• SDRAM Controller
• Operating system basics and required CPU substructure
• Linux Graphics Architecture

DEEP LEARNING

1. Convolutional Neural Nets
2. Optimization
3. Basic neural nets in pytorch
4. Variational autoencoders