工程數學

臺北科技大學 115-1 學期課程，課號 362326。

• 學期：115-1
• 授課教師：邱家吉
• 學分：3
• 必修
• 上課時段：週二 7、8 節；週三 6 節

課程大綱

This course introduces common mathematical methods for engineering applications and helps students know how to solve engineering problems by using mathematical methods. The course includes (1) First-order ordinary differential equation; (2) Higher-order ordinary differential equation; (3) System of ordinary differential equations; (4) Power series method; (5) Laplace transforms and helps students to gain knowledge of engineering mathematics through theories and calculations.

課程進度

Week 1 First order ODEs Week 2 First order ODEs: Exact and non-Exact ODEs Week 3 First order ODEs: Linear ODEs Week 4 Second order linear ODEs Week 5 Second order linear ODEs Week 6 Higher order linear ODEs Week 7 Higher order linear ODEs Week 8 Midterm exam Week 9 Systems of ODEs Week 10 Systems of ODEs Week 11 Laplace transforms Week 12 (11/25 Conference break) Week 13 Laplace transforms Week 14 Laplace transforms Week 15 Power series method Week 16 Final exam Week 17-18 Practice of solving ODE problems by AI

評量方式

Midterm (50%), Final exam (50%), Attendance (+5%)

教材

【遵守智慧財產權觀念，請使用正版教科書，不得使用非法影印教科書】 使用外文原文書：是 Kreyszig, E. (2011): Advanced engineering mathematics, 10th edition.