Technical Mathematics

This course introduces fundamental mathematical concepts critical for success in semiconductor engineering technology. Students will develop proficiency in applied algebra, including solving linear and quadratic equations, working with inequalities, and understanding functions. The curriculum also covers essential topics in trigonometry, such as right-triangle and general-angle trigonometry, vectors, and complex numbers, preparing students for advanced analysis of AC circuits and signal processing. Emphasis is placed on practical applications within the semiconductor field. Students will learn to apply mathematical principles to analyze electrical circuits, interpret data sheets, understand material properties, and solve problems related to semiconductor device operation. The course integrates problem-solving strategies, technological tool usage, and conceptual understanding to build a strong mathematical foundation for subsequent technical courses.

Course outline

Lectures, virtual labs, and graded assignments — completed in your browser.

01Review of Fundamental Algebra and Unit Conversionslecture

02Solving Linear Equations and Inequalitieslecture

03Functions: Linear, Quadratic, and Their Graphslab

04Systems of Equations and Their Applicationslecture

05Exponents, Logarithms, and Decibels in Electronicslecture

06Introduction to Right-Triangle Trigonometryassignment

07Midterm Reviewlab

08General Angle Trigonometry and the Unit Circlelecture

09Vectors and Phasorslecture

10Complex Numbers: Operations and Formslecture

11Applications of Complex Numbers to AC Circuitslab

12Exponential Functions and RC/RL Circuit Transientslecture

13Introduction to Basic Statistics and Data Interpretationassignment

14Final Exam Reviewlecture

Syllabus

**SET 121 Technical Mathematics (3 Credits)**
**A.A.S. in Semiconductor Engineering Technology**

**Course Description:** This course provides a comprehensive review of fundamental mathematical concepts essential for semiconductor engineering technology, including applied algebra, trigonometry, and their practical applications in circuit analysis and device characteristics.

**Course Objectives:** Upon successful completion of this course, students will be able to:
* Apply algebraic techniques to solve linear, quadratic, and systems of equations relevant to electrical and semiconductor problems.
* Utilize trigonometric functions and identities to analyze AC circuits, waveforms, and vector quantities.
* Perform operations with complex numbers in both rectangular and polar forms, applying them to impedance calculations.
* Interpret and analyze technical data using graphs, functions, and mathematical models.
* Solve practical engineering problems encountered in semiconductor fabrication and device testing using appropriate mathematical methods.
* Employ scientific calculators and relevant software tools for mathematical computations.

**Topics:**
1. Review of Basic Algebra: Real numbers, exponents, polynomials.
2. Linear Equations and Inequalities: Solving techniques, graphing.
3. Functions and Graphs: Linear, quadratic, polynomial, rational, exponential, logarithmic.
4. Systems of Equations: Substitution, elimination, matrices.
5. Basic Geometry and Measurement: Area, volume, unit conversions.
6. Right-Triangle Trigonometry: SOH CAH TOA, angles of elevation/depression.
7. General Angle Trigonometry: Unit circle, radians, trigonometric identities.
8. Vectors: Components, addition, subtraction, dot products.
9. Complex Numbers: Rectangular and polar forms, operations.
10. Introduction to AC Circuits Mathematics: Phasors, impedance.
11. Logarithms and Decibels: Applications in electronics.
12. Introduction to Data Analysis: Basic statistics, curve fitting.
13. Problem Solving with Technical Applications.

**Grading:**
* Homework/Quizzes: 30%
* Midterm Exam: 30%
* Final Exam: 40%

**Required Materials:** Scientific calculator (graphing calculator recommended), textbook (TBD).