212020230 – Linear Algebra
Course Description:
This course is to support students’ knowledge in the field of basic science, especially in mathematics. This course aims to provide students with basic skills in developing concepts/theories in the field of chemical engineering. The main studies include Certain integrals to determine or calculate the area under the curve, the volume of rotating objects, the surface area of rotating objects, the length of the arc and the center of the object, matrices, first-order differential equations of degree one, simultaneous differential equations, and partial differential equations. The learning method in this course is centered on students and based on a basic theory with simple engineering case examples (Case-based learning) by exemplifying physical events and formulating them in mathematical equations. Graduate learning outcomes are achieved effectively, and the learning process prioritizes a scientific approach in the case of calculus-based calculations to solve problems in the field of chemical engineering (contextual).
Course Outline:
- (1) Definite Integral: Area under the curve; (2) Definite Integral: Volume of a Rotating Object; and (3) Definite Integral: Surface Area of a Rotating Object
- (1) Definite Integral: Arc Length and Center of Object; and (2) Matrix and its Applications
- (1) First Degree and First Degree Differential Equations; and (2) Second Degree Linear Differential Equations with Constant Coefficients
- (1) Simultaneous Differential Equations; and (2) Partial Differential Equations and their Applications
