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General Mathematics 1 (MD1)

SEMESTER LEARNING PLAN

Course Title: General Mathematics 1 (MD1)

MK code: AKM21 316

Credit Weight: 2

Group of Courts: Compulsory

Semester: 2

Prerequisite Course: –

Lecturer:

Robertus Heri Soelistya Utomo, S.Si., M.Si.

 Attitude GLO 1-(S9) Demonstrate an attitude of responsibility for work in their field of expertise independently. Knowledge GLO 2-(PP3) Mastering the basic principles of software for the analysis and identification of solid material General Skills GLO 3 -(KU1) Able to apply logical, critical, systematic, and innovative thinking in the context of the development or implementation of science and technology that pays attention to and uses humanities values by their field of expertise GLO 4 -(KU2) Able to demonstrate independent, quality, and measurable performance. GLO 5 -(KU5) Able to make decisions regularly in the context of solving problems in their area of expertise, based on the results of analysis of information and data Special skill GLO 6 -(KK1) Able to generate appropriate conclusions based on the results of identification, analysis, isolation, transformation, and synthesis of chemicals that have been carried out

Course Description

Physical and chemical properties of Macroscopic Systems in Chemistry, namely a mixture (homogeneous or heterogeneous) of interacting molecules or atoms is a function of environmental parameters (number of moles, n, temperature, T, pressure, P, volume, V, intermolecular interaction distance, R), for example, the energy in the system U=f(n, T, P, V, R), and can change by changes in environmental parameters. The kinetic energy of particles in a macroscopic system is a function of temperature and particle velocity, Ek=f(n, T, c). The change in the amount of a substance with and without a reaction is a Function of Differential Equations. A chemical reaction is a differential equation of the amount of a sense for the reaction time. Physical and chemical properties of the Microscopic System of molecules, atoms, electrons in particles, and atomic nuclei are the operations of differential Hamiltonian to Function, Hψ=Eψ. So the function of the electron system in an atom can be obtained by solving a partial differential equation of order 2 or -3 dimensions which is used to describe the system. The change function is a differential equation and needs to be solved by non-analytic or numerical integration. The function of a chemical system often has to satisfy certain conditions such as continuity, fulfilling the Probability Distribution Function as a function of energy and temperature. The change can reach a minimum or maximum point where the first derivative of the function is zero. Based on the description above, the subjects of mathematics in chemistry are

(1) Functions,

(2) Function Derivatives,

(3) Application of Functions and Function Derivatives,

(4) Limits and Continuous Functions,

(5) Integration Technique 1,

(6) Ordinary Differential Equations of Order 1 and Order 2,

(7) Application of Ordinary Differential Equations.

Reference:

1. Kreyszig, E., 1998, “Advanced Engineering Mathematics”, 6th ed., John Wiley & Sons, Inc., New York.

Glossary