Tahun Akademik:
Genap 2023/2024
Kelas-Offr:
M-M
Deskripsi:
Partial Differential Equations (1): Laplace’s Equation, Steady-State Scalar Quantities in Rectangular Coordinate System; (2): Steady-state Scalar Quantities in a Polar Coordinate System, Steady-state Scalar Quantities in a Cylinder Coordinate System, Steady-state Scalar Quantities in a Sphere Coordinate System; (3): The Diffusion or Heat Flow Equation, The Schrödinger Equation, Partial Differential Equations; (4): The Wave Equation, the Vibrating String, Vibration of a Circular Membrane; (5): Poisson’s Equation, Integral Transform Solutions of Partial Differential Equations. Functions of A Complex Variable (1): Analytic Functions, Contour Integrals, Laurent Series; (2): The Residue Theorem, Methods of Finding Residues, Evaluation of Definite Integrals by Use of the Residue Theorem; (3): The Point at Infinity; Residues at Infinity, Mapping, Some Applications of Conformal Mapping. Tensor Analysis (1): Cartesian Tensors, Tensor Notation and Operations, Inertia Tensor; (2): Kronecker Delta and Levi-Civita Symbol, Pseudovectors and Pseudotensors, Applications of Tensors; (3): Curvilinear Coordinates, Vector Operators in Orthogonal Curvilinear Coordinates, Non-Cartesian Tensors. Probability And Statistics (1): Sample Space, Probability Theorems, Methods of Counting, Random Variables; (2): Continuous Distributions, Binomial Distribution, The Normal or Gaussian Distribution; (3): The Poisson Distribution, Statistics and Experimental Measurements.
Capaian Pembelajaran
Genap 2023/2024
Kelas-Offr:
M-M
Deskripsi:
Partial Differential Equations (1): Laplace’s Equation, Steady-State Scalar Quantities in Rectangular Coordinate System; (2): Steady-state Scalar Quantities in a Polar Coordinate System, Steady-state Scalar Quantities in a Cylinder Coordinate System, Steady-state Scalar Quantities in a Sphere Coordinate System; (3): The Diffusion or Heat Flow Equation, The Schrödinger Equation, Partial Differential Equations; (4): The Wave Equation, the Vibrating String, Vibration of a Circular Membrane; (5): Poisson’s Equation, Integral Transform Solutions of Partial Differential Equations. Functions of A Complex Variable (1): Analytic Functions, Contour Integrals, Laurent Series; (2): The Residue Theorem, Methods of Finding Residues, Evaluation of Definite Integrals by Use of the Residue Theorem; (3): The Point at Infinity; Residues at Infinity, Mapping, Some Applications of Conformal Mapping. Tensor Analysis (1): Cartesian Tensors, Tensor Notation and Operations, Inertia Tensor; (2): Kronecker Delta and Levi-Civita Symbol, Pseudovectors and Pseudotensors, Applications of Tensors; (3): Curvilinear Coordinates, Vector Operators in Orthogonal Curvilinear Coordinates, Non-Cartesian Tensors. Probability And Statistics (1): Sample Space, Probability Theorems, Methods of Counting, Random Variables; (2): Continuous Distributions, Binomial Distribution, The Normal or Gaussian Distribution; (3): The Poisson Distribution, Statistics and Experimental Measurements.
Capaian Pembelajaran
- Menguasai konsep esensial persamaan diferensial parsial dan terampil menerapkannya untuk menyelesaikan permasalahan matematika atau fisika yang terkait.
- Menguasai konsep esensial persamaan fungsi variabel kompleks dan terampil menerapkannya untuk menyelesaikan permasalahan matematika atau fisika yang terkait
- Menguasai konsep esensial analisis tensor dan terampil menerapkannya untuk menyelesaikan permasalahan matematika atau fisika yang terkait
- Menguasai konsep esensial probabilitas – statistik dan terampil menerapkannya untuk menyelesaikan permasalahan matematika atau fisika yang terkait.
- Arfken & Weber, ‘Mathematical Methods for Physicist’, Elsevier Academic Press, California, USA, 2005
- K.F. Riley, M. P. Hobson, S. J. Bence, ‘Mathematical Methods for Physics and Engineering’, 3rd edition, Cambridge University Press, 2006.
- Mary L. Boas, 2006, Mathematical Methods In The Physical Sciences, 3th edition
- K.T. Tang, ‘Mathematical Methods for Engineers and Scientists 1, 2, 3’, Springer Verlag, Berlin, 2006.
- Tai L. Chow, ‘Mathematical Methods for Physicists: A Concise Introduction’, Cambridge University Press, 2003.
- Teacher: Sulur S