Technical Mathematics

This course introduces fundamental mathematical concepts essential for students pursuing embedded systems engineering technology. Students will explore advanced algebra, functions, trigonometry, vectors, complex numbers, and an introduction to differential and integral calculus. The curriculum emphasizes the application of these analytical tools to succeed in subsequent engineering courses, including circuit analysis, signal processing, and system design.

Course outline

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

01Introduction to Technical Mathematics & Advanced Algebra Reviewlecture

02Functions, Graphs, and Solving Equationslecture

03Systems of Linear Equations and Matrices in Engineeringassignment

04Introduction to Trigonometry and Right-Angle Applicationslecture

05Trigonometric Functions, Identities, and Waveformslab

06Vectors and Vector Operations in 2D and 3Dlecture

07Complex Numbers: Forms and Operationslecture

08Complex Numbers in AC Circuit Analysislab

09Introduction to Differential Calculus: Rates of Changelecture

10Derivatives of Polynomial and Trigonometric Functionslecture

11Applications of Derivatives: Optimization and Curve Sketchingassignment

12Introduction to Integral Calculus: Area and Accumulationlab

13Comprehensive Midterm Reviewlecture

14Final Exam Reviewlecture

Syllabus

### Course Description
This course introduces fundamental mathematical concepts essential for students pursuing embedded systems engineering technology. Topics include advanced algebra, functions, trigonometry, vectors, complex numbers, and an introduction to differential and integral calculus, all presented with a strong emphasis on practical applications relevant to electrical circuits, sensor data analysis, and system modeling. The goal is to equip students with the analytical tools necessary for success in their engineering coursework and future careers.

### Learning Outcomes
Upon successful completion of this course, students will be able to:
* Apply advanced algebraic techniques to solve engineering problems, including systems of linear equations and nonlinear functions.
* Utilize trigonometric functions and identities to analyze periodic signals, rotational motion, and geometric configurations relevant to embedded systems.
* Perform vector operations and understand their application in force analysis, electrical fields, and coordinate transformations.
* Work proficiently with complex numbers, including their application in AC circuit analysis, impedance calculations, and signal processing.
* Understand basic differential and integral calculus concepts and apply them to analyze rates of change, optimization, and accumulation in engineering contexts.

### Assessment Breakdown
* Homework/Quizzes: 20%
* Lab Assignments/Projects: 25%
* Midterm Exam: 25%
* Final Exam: 30%

### Policies
* **Attendance:** Regular attendance is expected and essential for success. Students are responsible for all material covered in class, regardless of attendance.
* **Late Submissions:** Assignments submitted after the due date may be subject to a penalty of 10% per day unless prior arrangements are made with the instructor.
* **Academic Integrity:** All work submitted must adhere to the college's academic honesty policy. Plagiarism or cheating will result in a failing grade for the assignment and may lead to further disciplinary action.
* **Disability Services:** Students requiring accommodations due to a disability should contact the Disability Services office and provide their accommodation letter to the instructor at the beginning of the semester.