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, Calculus: R1 indeterminate form / limit of function
Session 2Linear algebra: R1 matrix
Session 3Calculus: R2 Differentiation method 1 Differentiation method / logarithmic differentiation method of composite function
Session 4Linear algebra: R2 inverse matrix and simultaneous linear equations
Session 5Calculus: R3 Differentiation method 2 Inverse trigonometric function
Session 6Linear algebra: R3 Linear transformation 1
Session 7Calculus: R4 differential method 3 higher derivative
Session 8Linear algebra: R4 linear transformation 2
Session 9Calculus: Theorem of R5 "average value, integral 1" permutation integral, partial integral
Session 10Linear algebra: R5 determinant
Session 11Calculus: R6 Mean value theorem / integration 2 Trigonometric function, irrational function integration
Session 12Linear algebra: R6 eigenvalues and eigenvectors (preparation)
Session 13Calculus synthesis: Summary
Session 14Linear algebra synthesis: Summary
＊＊This content is based on April 1, 2024. For the latest syllabus information and details, please check the syllabus information inquiry page provided by the university.＊＊