Exercise in Mathematics for Engineering I

Course Purpose
The purpose of this exercise course is to understand how mathematics are applied to engineering. Students will learn about basic concepts and principles of linear algebra and to develop the application ability for them, and will learn differential calculus, integral calculus, differential equation, cultivating the practical computing ability as a powerful tool for engineering. And it is also important in this course to learn Laplace transform, which is required in specialized engineering fields.
Learning Goals
Students will be able to utilize basic mathematics such as differential/integral calculus and linear algebra, for research in engineering science.
Topic
Session 1Guidance, Linear algebra: L1 Matrix
Session 2Calculus: C1 Indeterminate form / Limit of function
Session 3Linear algebra: L2 Inverse matrix and simultaneous linear equations
Session 4Calculus: C2 Differential calculus 1
Session 5Linear algebra: L3 Linear transformation 1
Session 6Calculus: C3 Differential calculus 2
Session 7Linear algebra: L4 Linear transformation 2
Session 8Calculus: C4 Differential calculus 3
Session 9Linear algebra: L5 Determinant
Session 10Calculus: C5 Mean value theorem and integration 1
Session 11Linear algebra: L6 Eigenvalues and eigenvectors (Preparation)
Session 12Calculus: C6 Integration 2
Session 13Linear algebra: L7 Eigenvalues and eigenvectors (Preparation) 2 / Comprehensive exercise
Session 14Calculus: C7 Comprehensive exercises
＊＊This content is based on April 1, 2025. For the latest syllabus information and details, please check the syllabus information inquiry page provided by the university.＊＊