For the Mathematics Study Program of FMIPA UNS, the basic principle in this collaboration is a feasible student exchange carried out by students both during the pandemic (online) and offline in class, so that from us it is possible for students to be able to take courses for a maximum of 24 credits (by considering the GPA in the previous semester) and stay in Surakarta for one full semester. Therefore, we provide freedom for students to choose courses in the odd (or even) semester, whether it is a mandatory or elective course.
Description (Guidelines):
- Lecture activities based on the academic calendar of Sebelas Maret University.
- Courses with PJJ marked [distance learning system] are conducted online and offline simultaneously.
- The capacity for students from outside the Mathematics Study Program FMIPA UNS for each course is 10 students for offline lectures and 40 students for online lectures (only for courses with PJJ marked).
- Students are required to attach transcripts in previous semesters.
- If there are courses that are over quota, then the study program will sort based on GPA and University of origin (as score)
- Mathematics Study Program FMIPA UNS has the right to cancel student’s choice of courses if similar courses (with similar CPL) have been taken by the students concerned in the previous semester in other study programs / universities.
- Students from outside the study program are not required to take prerequisite courses, but please pay attention to both the prerequisites and the semester of the course to be taken.
- Temporarily, courses without CPL will not be offered in the 2020/2021 and 2021/2022 academic years.
Mata Kuliah Wajib | ||||||
Kode Mata Kuliah | English | Nama Mata Kuliah Wajib | SKS | PJJ / Normal | Prasyarat* | CPL |
Semester Gasal | ||||||
09313120221 | Matrix and Vector Space | Matriks dan Ruang Vektor | 2 | PJJ | Explain matrices and determinants, the concept of vector spaces. | |
09313120322 | Differential Calculus | Kalkulus Diferensial | 3 | PJJ | Explain concepts, definitions, theorems, and use them to solve problems about number systems, limits, derivatives, and drawing function graphs. | |
09313120326 | Introduction to Numerical Mathematics | Pengantar Matematika Numerik | 3 | PJJ | Determine the solution of nonlinear equations, ordinary differential equations, systems of li-near equations, and determine function approximation using numerical techniques and understand the importance of error analysis. | |
09313120334 | Simulation Techniques | Teknik Simulasi | 3 | PJJ | Pemrograman Lanjut dengan Python | Able to understand the basic concepts of mathematical models and simulation, curve fitting from a set of data, stochastic processes, quantum computing |
09313120323 | Mathematical Logic and Sets | Logika Matematika dan Himpunan | 3 | Think logically and systematically according to mathematical rules including mathematical language, universal quantifiers, existential quantifiers, mathematical proofs, finite sets, cartesian sets, power sets, relations, functions, etc. | ||
09313120324 | Explorative Data Analysis | Analisis Data Eksploratif | 3 | Summarize a cohort in the form of tally and bar and leaf diagrams, calculate numerical summaries of a cohort and use them to draw box and dot diagrams and calculate standardization, determine appropriate transformations to a cohort, calculate regression estimates in an exploratory manner. | ||
09313120225 | Introduction to Graph Theory | Pengantar Teori Graf | 2 | Apply basic concepts of graph theory to represent real-world problems. | ||
09313120228 | Introduction to Special Functions | Pengantar Fungsi Khusus | 2 | Understand some special functions (Gamma, Beta, Bessel, Legendre, etc.) and their use in some mathematical and other problems. | ||
09313120327 | Multivariate Calculus | Kalkulus Peubah Banyak | 3 | Apply the derivative of functions of several variables, the fold integral and vector calculus. | ||
09313120329 | The Theory and Calculation of Probability | Teori dan Hitung Peluang | 3 | Formulate and use probability models derived from a phenomenon. | ||
09313120330 | Ordinary Differential Equation | Persamaan Diferensial Biasa | 3 | Solve mathematical problems related to ordinary differential equations and apply Laplace transformation in solving ordinary differential equations. | ||
09313120232 | Introduction to Discrete Mathematics | Pengantar Matematika Diskrit | 2 | Pengantar Teori Graf | Apply calculation methods (multiplication and addition, permutation and combination) and recurrence relations in elementary graph theory. | |
09313120233 | Introduction to Stochastic Processes | Pengantar Proses Stokastik | 2 | Statistik Matematika | Apply stochastic process approaches, particularly Markov chains, Poisson processes, continuous-time stochastic processes, and birth and death processes, to solve problems. | |
09313120335 | Ring Theory | Teori Ring | 3 | Teori Grup | As well as being able to create simple programs to perform simulations | |
09313120336 | Real Analysis I | Analisis Real I | 3 | Kalkulus Diferensial | Analyze problems about algebras and their properties and apply them to real problems, analyze problems about ideals, coefficient algebras, analyze problems about ideals in DIU and DFT. | |
Semester Genap | ||||||
09313210325 | Integral Calculus | Kalkulus Integral | 3 | PJJ | Explain concepts, definitions, theorems, and use them to solve problems about indefinite integrals, certain integrals, and their applications. | |
09313210327 | Linear Algebra | Aljabar Linear | 3 | PJJ | Use the concept of linear transformation and the concept of eigenvalue and eigenvector in solving problems. | |
09313210326 | Analytical Geometry | Geometri Analitik | 3 | Use coordinate systems in the plane as well as, construct and use line equations and plane equations in space, equations of circles, spheres, cones, simplify and use general equations of second degree, construct and use equations of the area of a circle and area of second degree in problem solving. | ||
09313210330 | Numerical Mathematics | Matematika Numerik | 3 | PJJ | Pengantar Matematika Numerik | Solve problems of nonlinear equations, systems of nonlinear equations and numerical approximation of functions and data. |
09313210328 | Statistical Analysis | Analisis Statistika | 3 | Explain, analyze data with the SPSS program package, make interpretations, apply in field assignments regarding descriptive statistics, probability and inference statistics and write field assignment reports in groups. | ||
09313210232 | Group Theory | Teori Grup | 2 | Logika Matematika dan Himpunan | Reconstruct the definitions of ring group, integral region and field and recognize their properties, identify homomorphisms. | |
09313210331 | Mathematical Statistics | Statistik Matematika | 3 | Teori dan Hitung Peluang Kalkulus Peubah Banyak | Construct and apply limit distributions, statistics and derive sampling distributions, point estimates, sufficient and complete statistics, interval estimates and the concept of hypothesis testing. | |
09313210333 | Complex Functions | Fungsi Kompleks | 3 | Kalkulus Peubah Banyak | Recognize and use complex numbers, analytic functions, simple functions, complex integrals, and construct power series, residues, and poles to solve problems. | |
09313210334 | Deterministic Operation Research | Riset Operasi Deterministik | 3 | Kalkulus Diferensial | Modeling real problems in the form of linear programs, solving linear program problems using graphical methods and sensitivity analysis, algorithms and solving linear program problems. | |
09313210335 | Boundary Condition Problems | Masalah Syarat Batas | 3 | Persamaan Diferensial Biasa | Apply orthogonal function systems in problem solving and solve boundary condition problems in ordinary differential equations. | |
09313210229 | Research Method and Mathematical Scientific Writing | Metodologi Penelitian dan Penulisan Ilmiah Matematika | 2 | Search for information from textbooks or scientific papers. Can write good scientific papers. Can make good presentation slides | ||
09313230227 | Discrete Mathematics | Matematika Diskrit | 2 | Pengantar Matematika Diskrit | Apply graph theory to MST and Matching, construct a circuit design with boolean expression, apply mathematical induction to prove mathematical theories and integer systems, apply the principles of inclusion, exclusion and calculation principles, and apply generating functions. | |
09313230229 | Epidemiology Modelling | Pemodelan Epidemiologi | 2 | Persamaan Diferensial Biasa | Able to develop a disease spread model then analyze, apply, and interpret it and communicate it (written and oral). | |
09313230230 | Mathematical Modelling | Pemodelan Matematika | 2 | Persamaan Diferensial Biasa | Develop a mathematical model of a problem, then solve and interpret it in real problems. | |
09313230231 | Game Theory | Teori Permainan | 2 | Riset Operasi Deterministik | ||
09313230328 | Real Analysis II | Analisis Real II | 3 | Analisis Real I | Apply Riemann integrals, function series and metric spaces. | |
Mata Kuliah pilihan | ||||||
Kode Mata Kuliah | English | Nama Mata Kuliah Wajib | SKS | PJJ / Normal | Prasyarat* | CPL |
Semester Gasal | ||||||
09313130221 | Sets Theory | Teori Himpunan | 2 | Logika Matematika dan Himpunan | Can explain the definition of an infinite set and its properties, and calculate its cardinality. | |
09313130222 | Fuzzy Sets and Fuzzy Logic | Himpunan dan Logika Fuzzy | 2 | Kalkulus Diferensial | Able to apply fuzzy sets and logic in everyday life, namely for clustering, inference, forecasting and industrial fields. | |
09313130223 | Artificial Neural Network | Jaringan Syaraf Tiruan | 2 | Understand the theory of artificial neural networks, more specifically: Basic principles and structure of JST, Adaptive Linear Neuron (Adaline), Many Adaline (Madaline), Back Propagation learning procedure, as well as simulations for some specific case studies. | ||
09313130324 | Database Management | Managemen Basis Data | 3 | Analisis Data Eksploratif | ||
09313130225 | Mathematical Communication | Komunikasi Matematis | 2 | |||
09313130226 | Numerical Differentiation and Integration | Persamaan Diferensial dan Integral Numerik | 2 | Pengantar Matematika Numerik | Able to solve ordinary differential equations and determine the value of certain integrals numerically and communicate them scientifically (written and oral). | |
09313130227 | Probabilistic Operation Research | Riset Operasi Probabilistik | 2 | Pengantar Proses Stokastik | Finding the optimal solution of the zero sum game model, some queuing models, Markov analysis and probabilistic dynamic program models. | |
09313130228 | Nonlinear Programming | Pemrograman Tak Linear | 2 | Pengantar Matematika Numerik | Solve optimization problems for non-linear objective function or constraint function | |
09313130329 | Theory of Differential Equations | Teori Persamaan Diferensial | 3 | Persamaan Diferensial Biasa | Students are able to apply the existence theorem and singularity of solution, and the theory of differential equations both linear and non-linear differential equations in problem solving. | |
09313130330 | Data Science | Data Sains | 3 | Managemen Basis Data Pemrograman Lanjut dengan Python | ||
09313130331 | Fractional Calculus | Kalkulus Fraksional | 3 | Kalkulus Peubah Banyak | Have knowledge of: Introduction to Fractional Calculus, Riemann-Liouville fractional integrals, Riemann-Liouville fractional derivatives, fractional differential equations and applied fractional differential equations. | |
09313130332 | Functional Analysis | Analisis Fungsional | 3 | Analisis Real II | Apply the concepts of normed spaces, inner product spaces and linear functionals to practical problems. | |
09313130233 | Linear Systems | Sistem Linear | 2 | Pengantar Teori Kontrol | Identify some properties of linear systems through their properties. | |
09313130234 | Theory of Integral | Teori Integral | 2 | Analisis Real II | Conceptualize descriptive integral, constructive integral, prove the properties of Henstok integral and prove the convergence theorem. | |
09313130235 | Dynamical System | Sistem Dinamik | 2 | Teori Grup | Analyze the behavior of discrete dynamical systems and chaos phenomena for simple functions. | |
09313130237 | Bilinear and Multilinear Algebra | Aljabar Bilinear dan Multilinear | 2 | Teori Modul | Students can build a module structure and prove its properties. | |
Semester Genap | ||||||
09313230321 | Forecasting Mathematics | Matematika Peramalan | 3 | Kalkulus Diferensial | Recognize and apply statistical concepts for forecasting. | |
09313230222 | Introduction to Control Theory | Pengantar Teori Kontrol | 2 | Persamaan Diferensial Biasa | Students can know the effect of control on the system and analyze its stability. | |
09313230223 | Graph Theory | Teori Graf | 2 | Pengantar Teori Graf | Able to explain the concepts: digraph, metric dimension and magic graph, and understand the application of graph theory in real life problems. | |
09313230324 | Mathematical Insurance | Matematika Asuransi | 3 | Teori dan Hitung Peluang | Recognize and construct mathematical models for insurance. | |
09313230225 | Risk Model | Model Resiko | 2 | Teori dan Hitung Peluang | ||
09313230226 | Artificial Intelligence | Kecerdasan Buatan | 2 | Himpunan dan Logika Fuzzy | ||
09313230232 | Numerical Partial Differential Equations | Persamaan Diferensial Parsial Numerik | 2 | Masalah Syarat Batas | Solve partial differential equations numerically. | |
09313230233 | Module Theory | Teori Modul | 2 | Teori Ring | Able to construct algebraic structures that are the development of groups and rings and provide their properties and examples. | |
09313230334 | Introduction to Cryptography and Coding Theory | Pengantar Kriptografi dan Teori Koding | 3 | PJJ | Aljabar Linear | Able to explain the principles of communication systems, coding theory, and cryptography, able to reconstruct several types of coding systems and simple cryptographic systems. |
09313230235 | Numerical Linear Algebra | Aljabar Linear Numerik | 2 | Aljabar Linear | Solve systems of linear equations numerically. | |
09313230237 | Biometrics | Biometrik | 2 | Pemrograman Lanjut dengan Python |