UAT 101 · 3(3-0-6) · Year/term 1/1

Applied Mathematics for Technology

คณิตศาสตร์ประยุกต์สำหรับเทคโนโลยี

Progress

Notional hours: 135 h (online/self-study 90 · in class/lab 45)

Course description

algebra, functions, trigonometry, vectors, matrices, introductory calculus, differential equations, numerical methods, and mathematical applications for technological problem analysis

Thai description

พีชคณิต ฟังก์ชัน ตรีโกณมิติ เวกเตอร์ เมทริกซ์ แคลคูลัสเบื้องต้น สมการเชิงอนุพันธ์ วิธีเชิงตัวเลข และการประยุกต์คณิตศาสตร์ในการวิเคราะห์ปัญหาทางเทคโนโลยี

Description source: Curriculum draft (revised 28 Sep 2026)Previous site code: DRT 111

Course learning outcomes (CLO)

CLO	Outcome	PLO
CLO1	Apply algebra, functions and trigonometry to technology problems	PLO1
CLO2	Compute with vectors and matrices to transform aircraft reference frames	PLO1
CLO3	Apply elementary calculus to motion and sensor data	PLO1PLO4

Learning modules

1Algebra, functions and units
Weeks 1–3 · 27 hLesson 75 minquiz2 KU

Online (before class) · 18 h

Study the assigned knowledge units in advance, review media and take the module quiz

In class / field · 9 h

Lecture, case discussion and in-class problem solving

Learning evidence: Quiz results and submitted exercises

Open module + quiz

2Trigonometry and angles in flight
Weeks 4–6 · 27 hLesson 80 minquiz2 KU

Online (before class) · 18 h

Study the assigned knowledge units in advance, review media and take the module quiz

Trigonometry, Euler angles and reference framesIn development
Coordinates, direction, time and heightTH

In class / field · 9 h

Lecture, case discussion and in-class problem solving

Learning evidence: Quiz results and submitted exercises

Open module + quiz

3Vectors and matrices
Weeks 7–9 · 27 hLesson 85 minquiz1 KU

Online (before class) · 18 h

Study the assigned knowledge units in advance, review media and take the module quiz

Vectors, matrices and coordinate transformations for aircraftIn development

In class / field · 9 h

Lecture, case discussion and in-class problem solving

Learning evidence: Quiz results and submitted exercises

Open module + quiz

4Coordinate transformations and reference frames
Weeks 10–12 · 27 hLesson 90 minquiz2 KU

Online (before class) · 18 h

Study the assigned knowledge units in advance, review media and take the module quiz

Vectors, matrices and coordinate transformations for aircraftIn development
Map coordinates and heightsTH

In class / field · 9 h

Lecture, case discussion and in-class problem solving

Learning evidence: Quiz results and submitted exercises

Open module + quiz

5Elementary calculus of motion
Weeks 13–15 · 27 hLesson 90 minquiz2 KU

Online (before class) · 18 h

Study the assigned knowledge units in advance, review media and take the module quiz

Derivatives, rates of change and numerical integrationIn development
Exercise: measuring trajectory errorTH

In class / field · 9 h

Lecture, case discussion and in-class problem solving

Learning evidence: Quiz results and submitted exercises

Open module + quiz

Assessment (draft)

Quizzes and exercises	20%
Midterm examination	30%
Final examination	40%
Participation and discussion	10%

Knowledge domain

D01 Mathematics, physics and statistics D06 Control, autopilot and navigation D08 Mission planning, flight and simulation D12 Automation, robotics and swarms D13 Surveying, mapping and geoinformatics

Key references

Stroud, K. A., & Booth, D. J. (2020). Engineering mathematics (8th ed.). Bloomsbury.
Kreyszig, E. (2011). Advanced engineering mathematics (10th ed.). Wiley.
Beard, R. W., & McLain, T. W. (2012). Small unmanned aircraft: Theory and practice. Princeton University Press. link