Exercise in Mathematics for Engineering II

Course Purpose
Students will be able to learn the basic concepts and principles of multivariable calculus, linear algebra, and Laplace transform.
Learning Goals
The aim of this course is to cultivate thinking, expression, and computing powers through exercises on calculus and linear algebra.
Topic
Session 1Linear algebra L1: Vector and matrix
Session 2Calculus C1: McLaughlin expansion and Taylor expansion
Session 3Linear algebra L2: Determinant and inverse matrix, simultaneous equations
Session 4Calculus C2: Improper integral and Laplace transform
Session 5Linear algebra L3: The nature of the determinant
Session 6Calculus C3: Laplace inverse transform, differential equation
Session 7Linear algebra L4: Cofactor expansion and inverse matrix
Session 8Calculus C4: Partial derivative and maximum minimum
Session 9Linear algebra L5: Eigenvalues and eigenvectors
Session 10Calculus C5: Multiple integral
Session 11Linear algebra L6: Diagonalization
Session 12Calculus C6: Two-variable calculus application
Session 13Linear algebra L7: Eigenvalue problem and application
Session 14Calculus C7: summary
＊＊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.＊＊