### CCOG for MT 107 Fall 2022

- Course Number:
- MT 107
- Course Title:
- Math for Microelectronics
- Credit Hours:
- 2
- Lecture Hours:
- 20
- Lecture/Lab Hours:
- 0
- Lab Hours:
- 0

#### Course Description

Provides a framework for applying mathematical concepts and principles to microelectronics manufacturing situations and problems through collaborative learning. Involves development, articulation, and documentation of individual problem-solving strategies. Explores microelectronics problem topics including dimensional analysis, the metric system, electronic feedback, electrical impedance, applied chemistry and physics. Graphing technology and use of a spreadsheet program are required. Prerequisites: MT 106 or MTH 98 or MTH 95, or any course for which MTH 98 or MTH 95 is a prerequisite, or equivalent placement, and (WR 115 and RD 115) or IRW 115 or equivalent placement. Audit available.

#### Intended Outcomes for the course

Upon completion of the course students should be able to:

- Solve problems related to microelectronics processes and design using appropriate techniques involving algebra and trigonometry.
- Apply dimensional analysis to convert between different systems of units and to evaluate relationships between the form and function of microelectronics fabrication processes and equipment.
- Calculate and communicate mathematical microelectronics parameters and their appropriate units in written and oral form.

#### Aspirational Goals

Confidence in implementation of mathematics to support empirical troubleshooting of microelectronics process equipment, semiconductor processes, and manufacturing quality.

#### Course Activities and Design

The course will include 2 hours of lecture per week. Campus and/or distance training may be employed.

#### Outcome Assessment Strategies

The instructor may use attendance, quizzes, exams, homework, group projects, or individual projects to assess student progress.

#### Course Content (Themes, Concepts, Issues and Skills)

Themes, Concepts, and Issues:

- Accuracy in performing calculations and analysis across different systems of units
- Problem solving using mathematical concepts in support of empirical troubleshooting
- Interpretation of graphs
- Communication of mathematical concepts related to microelectronics processes and design in written and oral form

Skills - deeper practice in the following:

- Application of the Powers of Ten
- Convert numbers from (and to) scientific notation and System International values with prefixes.
- Present the correct number of significant digits in measurements and calculations
- Complete basic operations using number expression in scientific notation

- Fractions, decimals and percentages
- Deeper practice performing basic operations on fractions.
- Convert fractions to decimals.
- Calculate percentages of numbers written as decimals, in scientific notation and as fractions.
- Determine variations in measured values as a function of tolerances.
- Identify the relationship between tolerance and error stacking in microelectronics processes and design.

- Units and linear equations
- Deeper practice in understanding the relationship between the base and derived SI units.
- Convert between SI units and other commonly used units for microelectronics processes and design.
- Label equations and solutions with units as appropriate.
- Solve linear equations related to microelectronics applications.

- Graphing
- Deeper analysis of the characteristics of the graph of a linear function.
- Deeper analysis of the characteristics of the graph of a logarithmic function.
- Generate graphs using best practices for axis scaling, axis labels, and font size.
- Compose a technical description of graph content in written form.

- Graphical exploration of functions used in microelectronics processes and equipment.
- Deeper exploration of the relationship between the symbolic and graphical representation of a function
- Graph polynomial functions in a spreadsheet program.
- Analyze the relationship between voltage, current and circuit parameters in graphical form

- Complex numbers and trigonometry
- Perform basic operations using complex numbers in complex vector space.
- Convert complex numbers to polar number format.
- Perform basic operations using the polar coordinate system.

- Logarithms, natural logarithms, exponents
- Deeper practice with basic operations using natural logarithms.
- Perform basic operations of exponents of Euler’s number.
- Graph exponential relationships found in microelectronic device characteristics.