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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.

 Week Expected ability (Sub-CLO) Study Materials/ Learning Materials Learning methods Student Learning Experience Time (minutes) Evaluation Criteria and Indicators % 1-2 Students can explain (C2-understand) the function of mathematics and its benefits in chemistry. Mathematics/Function (PB1). Linear functions (e.g. calibration curve A=abc), Quadratic functions, Trigonometric functions (e.g. wave y=Asinx), Exponential Functions (eg orbital =exp(-r/ao), and other functions in chemistry. Discovery learning Cooperative learning Summarizing information Asking (development, critique) search, collect and compile information to describe the Functional Benefits in chemistry. Discuss and conclude problems/tasks in groups FF : 3x 50 min SS : 3 x 50 min ST : 3 x 50 min accuracy explains the benefits of Functions in chemistry with a minimum accuracy of 80% 15 3-4 Students can compare (C2-understand) the Derivatives of Functions on various types of Functions in PB1. Mathematics/Derivative Functions (PB2). Derivatives of Functions in PB1, the meaning and benefits of derivatives of negative, zero, and positive functions at the price of certain independent variables, such as in the Lambert-Beer equation A=abc, on the graph A=f(λ), and other complex functions in reaction kinetics, atomic orbitals, etc. Discovery learning Cooperative learning Problem Based Learning listen, write ask Discuss and conclude problems/tasks in groups FF : 3x 50 min SS : 3 x 50 min ST : 3 x 50 min Accuracy of calculating the Derivatives of Functions in PB1. 15 5-6 Students can explain (C2-understand) the function and Derivatives of Functions and uses (C3-apply) on Thermodynamics, Kinetics, and Structures. Mathematics / Application of Functions and Function Derivatives (PB3). Application of Functions and Derivatives of Functions in Thermodynamics, Kinetics, and Structures (Orbitals). Discovery learning Cooperative learning Problem Based Learning listen, write, ask Learning by digging/looking for information (inquiry) and use that information to solve real problems. FF : 3x 50 min SS : 3 x 50 min ST : 3 x 50 min – the accuracy of explaining the Derivative Function. – the accuracy of explaining the problems given application to Thermodynamics, Kinetics, and Structures. 10 7 Students can explain (C2-understand) Limits and Continuous Functions and Continuous Functions and use (C3-apply) in Thermodynamics, Kinetics, and Structures. Mathematics/Limit and Continuous Function (PB4). Limits and Continuous Functions on Functions Discovery learning Cooperative learning Problem Based Learning listen, write ask Learning by digging/looking for information (inquiry) and use that information to solve real problems. FF : 3x 50 min SS : 3 x 50 min ST : 3 x 50 min – Accuracy of explaining Limit and Continuous Function. – Accuracy in explaining Limits and Limit Functions and Continuous Functions. – Accuracy in explaining Limit and Continuous Function questions given 10 8 Midterm exam Written exam 90 The truth and completeness of the answer to the question 50 9-10 Students can explain (C2-understand) Integration Techniques and use (C3-apply) in Thermodynamics, Kinetics, and Structures Mathematics/Integration Engineering (PB5) Integration Techniques on Functions. Discovery learning Cooperative learning Problem Based Learning listen, write ask Learning by digging/looking for information (inquiry) and use that information to solve real problems. FF : 3x 50 min SS : 3 x 50 min ST : 3 x 50 min – Accuracy describes Integration. – the accuracy of calculating the integration questions given. 15 11-12 Students can explain (C2-understand) Ordinary Differential Equations of Order 1 and Order 2 and use (C3-apply) in Thermodynamics, Kinetics, and Structures. Mathematics/ Ordinary Differential Equations of Order 1 and Order 2 (PB6). Ordinary Differential Equations of Order 1 and Order 2 in Thermodynamics, Kinetics, and Structures (Orbitals). Discovery learning Cooperative learning Problem Based Learning listen, write, ask Learning by digging/looking for information (inquiry) and use that information to solve real problems. FF : 3x 50 min SS : 3 x 50 min ST : 3 x 50 min – the accuracy of explaining Ordinary Differential Equations of Order 1 and Order 2. – the accuracy of calculating Ordinary Differential Equations of Order 1 and Order 2. 15 13-15 Students can use (C3-apply) Ordinary Differential Equations in Thermodynamics, Kinetics, and Structures Mathematics/ Application of Ordinary Differential Equations (PB7). Application of Ordinary Differential Equations to Thermodynamics, Kinetics, and Structural (e.g., particles in a one-dimensional box). Discovery learning Cooperative learning Problem Based Learning listen, write, ask Learning by digging/looking for information (inquiry) and use that information to solve real problems. FF : 3x 50 min SS : 3 x 50 min ST : 3 x 50 min – the accuracy of explaining the Application of Ordinary Differential Equations. – the accuracy of calculating the problems of Application of Ordinary Differential Equations 25 16 Final exams Written exam 90 The truth and completeness of the answer to the question 50

Reference:

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

Glossary