Tahun Akademik:
Genap 2021/2022
Kelas-Offr:
C-C
Deskripsi:
Partial Differential Equations: Laplace’s Equation; Steady-State Temperature in a Rectangular Plate, Steady-state Temperature in a Cylinder, Steady-state Temperature in a Sphere, The Diffusion or Heat Flow Equation; the Schrödinger Equation, The Wave Equation; the Vibrating String, Vibration of a Circular Membrane, Poisson’s Equation, Integral Transform Solutions of Partial Differential Equations. Functions of A Complex Variable: Analytic Functions, Contour Integrals, Laurent Series, The Residue Theorem, Methods of Finding Residues, Evaluation of Definite Integrals by Use of the Residue Theorem, The Point at Infinity; Residues at Infinity, Mapping, Some Applications of Conformal Mapping. Tensor Analysis: Cartesian Tensors, Tensor Notation and Operations, Inertia Tensor, Kronecker Delta and Levi-Civita Symbol, Pseudovectors and Pseudotensors, Applications of Tensors, Curvilinear Coordinates, Vector Operators in Orthogonal Curvilinear Coordinates, Non-Cartesian Tensors. Probability and Statistics: Sample Space, Probability Theorems, Methods of Counting, Random Variables, Continuous Distributions, Binomial Distribution, The Normal or Gaussian Distributions, The Poisson Distributions, Statistics and Experimental Measurements.
Capaian Pembelajaran
Genap 2021/2022
Kelas-Offr:
C-C
Deskripsi:
Partial Differential Equations: Laplace’s Equation; Steady-State Temperature in a Rectangular Plate, Steady-state Temperature in a Cylinder, Steady-state Temperature in a Sphere, The Diffusion or Heat Flow Equation; the Schrödinger Equation, The Wave Equation; the Vibrating String, Vibration of a Circular Membrane, Poisson’s Equation, Integral Transform Solutions of Partial Differential Equations. Functions of A Complex Variable: Analytic Functions, Contour Integrals, Laurent Series, The Residue Theorem, Methods of Finding Residues, Evaluation of Definite Integrals by Use of the Residue Theorem, The Point at Infinity; Residues at Infinity, Mapping, Some Applications of Conformal Mapping. Tensor Analysis: Cartesian Tensors, Tensor Notation and Operations, Inertia Tensor, Kronecker Delta and Levi-Civita Symbol, Pseudovectors and Pseudotensors, Applications of Tensors, Curvilinear Coordinates, Vector Operators in Orthogonal Curvilinear Coordinates, Non-Cartesian Tensors. Probability and Statistics: Sample Space, Probability Theorems, Methods of Counting, Random Variables, Continuous Distributions, Binomial Distribution, The Normal or Gaussian Distributions, The Poisson Distributions, Statistics and Experimental Measurements.
Capaian Pembelajaran
- Menguasai konsep esensial persamaan diferensial parsial, fungsi variabel kompleks, Analisis Tensor, statistik dan probabilitas dan menerapkannya untuk menyelesaikan permasalahan matematika atau fisika yang terkait secara tepat, sistematis, mandiri, bertanggungjawab, dan memanfaatkan perkembangan ipteks.
- Mary L. Boas, 2006, Mathematical Methods In The Physical Sciences, 3th edition
- K.F. Riley, M. P. Hobson, S. J. Bence, ‘Mathematical Methods for Physics and Engineering’, 3rd edition, Cambridge University Press, 2006.
- 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