# Circuits and Systems (EE44 Caltech)

- Link: https://studyelectrical.com/course/circuits-and-systems-ee44-caltech
- Published: 2021-10-21T11:21:00+00:00
- Author: Tesla

EE 44 explores the **deterministic analysis of systems and circuits**, focusing 
on the mathematical abstraction of physical systems with a primary emphasis on electrical
systems. Students will delve into various deterministic methods for system analysis,
including matrix representations, time-domain analysis utilizing impulse and step
responses, signal superposition and convolution, Heaviside operator solutions for
linear differential equations, and the application of transfer functions, Laplace,
and Fourier transforms.

The course places a significant emphasis on electrical circuits, covering a range
of examples such as energy and data converters, wired and wireless communication
channels, instrumentation, and sensing. Additionally, students will gain exposure
to a variety of other applications where deterministic analysis tools can be effectively
applied, including public opinion dynamics, acoustic cancellation systems, financial
market modeling, traffic analysis, drug delivery systems, mechanical systems dynamics,
news cycle prediction, and heat exchange processes.

Through a combination of theoretical study and practical examples, students will
develop a strong understanding of deterministic analysis techniques and their real-
world applications in diverse fields. EE 44 equips students with the skills necessary
to analyze and design systems and circuits with precision and efficacy.

## **Course: EE44 Circuits & Systems**

**Objective:** Establishing the link between fundamental mathematical concepts and
their application in electrical engineering to understand the relationship with 
the physical world.

### Course Overview:

 1.  **Fundamentals:**
 2.   * Introduction to mathematical concepts.
      * Relationship with physical phenomena.
 3.  **Circuit Theory:**
 4.   * Circuit elements overview.
      * Linear vs. non-linear circuits.
      * Network diagrams.
      * Node and mesh analysis.
      * Time domain analysis.
 5.  **System Theory:**
 6.   * Understanding systems with inputs and outputs.
      * Modeling system behavior.
      * Impulse, step, and sinusoidal responses.
      * Operator theory and analysis.
 7.  **Frequency Domain Analysis:**
 8.   * Transition from time to frequency domain.
      * Complex frequency domain.
      * Transfer functions, poles, and zeros.
      * Laplace and Fourier transforms and their applications.
 9.  **Time and Transform Constants:**
 10.  * Introduction if time permits.

### Course Focus:

 * Emphasizing the mathematical model of the physical world.
 * Practical applications of mathematical concepts in electrical engineering.
 * Meeting experimental results in physics

Instructor: Hajimiri.