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Master of Science in Applied Mathematical Science

Program Code

MSCAMS

Level

Post Graduate

Duration

2 Year

Department name

Applied Mathemetical Science
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Semester Sr no CourseCode Course CourseCredit
Sem-1 1 AMS401  Probability Distributions and Statistical Inference  4
Sem-1 2 AMS402  Operations Research  4
Sem-1 3 AMS403  Differential Equations  4
Sem-1 4 AMS404  Applied Algebra  4
Sem-1 5 AMS405  (Practical-I) Programming with Python-I  4
Sem-1 6 AMS406  (Practical-II) Programming with R-I  4
Sem-1 7 AMS401 Probability Distributions and Statistical Inference 4
Sem-1 8 AMS402 Operations Research 4
Sem-1 9 AMS403 Differential Equations 4
Sem-1 10 AMS404 Applied Algebra 4
Sem-1 11 AMS405 (Practical-I) Programming with Python-I 4
Sem-1 12 AMS406 (Practical-II) Programming with R-I 4
Sem-2 1 AMS407 Design of Experiments and Regression Analysis 4
Sem-2 2 AMS408 Advanced Operations Research 4
Sem-2 3 AMS409 Mathematical Modelling 4
Sem-2 4 AMS410 Mathematical Methods 4
Sem-2 5 AMS411 (Practical-III) Programming with Python-II 4
Sem-2 6 AMS412 (Practical-IV) Programming with R-II 4
Sem-2 7 AMS407  Design of Experiments and Regression Analysis  4
Sem-2 8 AMS408  Advanced Operations Research  4
Sem-2 9 AMS409  Mathematical Modelling  4
Sem-2 10 AMS410  Mathematical Methods  4
Sem-2 11 AMS411  (Practical-III) Programming with Python-II  4
Sem-2 12 AMS412  (Practical-IV) Programming with R-II  4
Sem-3 1 AMS501  Cryptography  4
Sem-3 2 AMS502  Numerical Optimization  4
Sem-3 3 AMS503  Financial Mathematics  4
Sem-3 4 AMS504  Machine Learning Algorithms  4
Sem-3 5 AMS505  (Practical-V) Simulation and Algorithms  4
Sem-3 6 AMS506  (Practical-VI) Research Methodology and Multivariate Analysis  4
Sem-3 7 AMS501 Cryptography 4
Sem-3 8 AMS502 Numerical Optimization 4
Sem-3 9 AMS503 Financial Mathematics 4
Sem-3 10 AMS504 Machine Learning Algorithms 4
Sem-3 11 AMS505 (Practical-V) Simulation and Algorithms 4
Sem-3 12 AMS506 (Practical-VI) Research Methodology and Multivariate Analysis 4
Sem-4 1 AMS507 Dissertation/Project Work 16
Sem-4 2 AMS508 Seminar/ Field Work/ Industrial Visit/ MOOC 4
Sem-4 3 AMS509 Assignment/ Group Discussion/ Industrial Training 4
Sem-4 4 AMS507  Dissertation/ Project work  16
Sem-4 5 AMS508  Seminar/ Field Work/ Industrial Visit/ MOOC  4
Sem-4 6 AMS509  Assignment/ Group Discussion/ Industrial Training  4
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Eligibility Criteria
  • PO1: Advanced Mathematical Knowledge and Skills:Demonstrate a deep understanding of advanced mathematical concepts, theories, and techniques in areas such as calculus, linear algebra, differential equations, numerical analysis, optimization, and complex analysis.
  • PO2: Application of Mathematical Techniques:Apply mathematical methods and models to solve complex problems in real-world scenarios across various domains, including physics, engineering, biology, economics, and data science.
  • PO3: Communication and Presentation Skills:Effectively communicate complex mathematical ideas, findings, and solutions to both technical and non-technical audiences. Graduates will be proficient in writing technical reports, research papers, and delivering presentations.
  • PO4: Computational and Programming Proficiency:Gain proficiency in using computational tools and programming languages (such as MATLAB, Python, R, or Mathematica) for mathematical modeling, simulations, and data analysis.
  • PO5: Critical Thinking and Analytical Skills:Develop strong critical thinking and analytical skills to formulate, analyze, and solve problems using mathematical reasoning. Graduates will be able to assess the validity of mathematical models and interpret their results.
  • PO6: Data Analysis and Statistical Skills:Develop skills in statistical analysis, data interpretation, and the application of probability theory. Graduates will be equipped to handle data-driven problems and apply statistical methods to extract insights from data.
  • PO7: Ethics and Professional Responsibility:Understand the ethical implications of mathematical applications and uphold professional integrity in research and practice. Graduates will be aware of the societal impact of their work and adhere to ethical standards in their professional activities.
  • PO8: Interdisciplinary Application:Integrate mathematical knowledge with other scientific and engineering disciplines to provide solutions to interdisciplinary problems. Graduates will be capable of collaborating with professionals from various fields to tackle complex challenges.
  • PO9: Lifelong Learning and Adaptability:Cultivate a commitment to lifelong learning and staying updated with the latest advancements in mathematical sciences and related fields. Graduates will be adaptable to evolving technologies and methodologies.
  • PO10: Problem-Solving and Decision-Making:Demonstrate the ability to use mathematical modeling and quantitative techniques to support decision-making processes in various industries, such as finance, operations research, and logistics.
  • PO11: Research and Innovation:Engage in independent research, contribute to the advancement of mathematical sciences, and develop innovative approaches to complex problems. Graduates will be prepared to publish their research findings in scientific journals and present at conferences.
  • PO12: Teamwork and Collaboration:Work effectively as a part of a multidisciplinary team, demonstrating leadership, collaboration, and project management skills. Graduates will be prepared to contribute to and lead teams in academic, industrial, or research settings.
  • PSO1: 1. PSO 1: Mastery of Advanced Mathematical Methods and Models o Gain expertise in advanced mathematical methods, including differential equations, linear and nonlinear programming, stochastic processes, and numerical analysis. Graduates will be able to formulate and solve complex mathematical models in various applied contexts.
  • PSO2: 10. PSO 10: Ethical Implications and Professional Responsibility in Applied Mathematics o Understand the ethical implications of mathematical work, including the responsible use of data, models, and algorithms. Graduates will adhere to professional standards and ethical guidelines in their research and practice, recognizing the impact of their work on society.
  • PSO3: 2. PSO 2: Application of Mathematics to Real-World Problems o Apply mathematical concepts and techniques to solve real-world problems in fields such as engineering, physics, biology, economics, and finance. Graduates will be proficient in using mathematical models to analyze, interpret, and provide solutions to practical challenges.
  • PSO4: 3. PSO 3: Computational Mathematics and Software Proficiency o Develop strong computational skills and proficiency in mathematical software tools such as MATLAB, Mathematica, Python, and R. Graduates will be capable of implementing algorithms, performing simulations, and analyzing large datasets to support mathematical modeling and problem-solving.
  • PSO5: 4. PSO 4: Optimization and Operations Research o Specialize in optimization techniques and operations research, including linear programming, integer programming, dynamic programming, and network analysis. Graduates will be prepared to optimize processes, resources, and systems in various industries, including logistics, manufacturing, and service operations.
  • PSO6: 5. PSO 5: Statistical Analysis and Data Interpretation o Acquire advanced skills in statistical analysis, probability theory, and data interpretation. Graduates will be equipped to handle uncertainty and variability in data-driven problems and apply statistical methods to extract insights and inform decision-making.
  • PSO7: 6. PSO 6: Mathematical Modeling in Interdisciplinary Contexts o Develop the ability to construct and analyze mathematical models in interdisciplinary contexts, collaborating with professionals from fields such as environmental science, health sciences, engineering, and social sciences. Graduates will effectively use mathematics to bridge gaps between disciplines and provide integrated solutions.
  • PSO8: 7. PSO 7: Research and Development in Mathematical Sciences o Engage in innovative research and contribute to the development of new mathematical theories, techniques, and applications. Graduates will be prepared to pursue further research, publish findings, and contribute to the academic and scientific community.
  • PSO9: 8. PSO 8: Critical Thinking and Problem-Solving in Applied Mathematics o Demonstrate strong critical thinking and problem-solving skills, with the ability to analyze complex problems, identify mathematical strategies, and implement effective solutions. Graduates will approach problems with a systematic and logical mindset, leveraging mathematical tools to address challenges.
  • PSO10: 9. PSO 9: Mathematical Foundations of Machine Learning and AI o Gain foundational knowledge in the mathematical underpinnings of machine learning and artificial intelligence, including linear algebra, calculus, and probability. Graduates will be prepared to apply these mathematical concepts in developing algorithms and models for AI applications
Subject Name: Probability Distributions and Statistical Inference

Statements: • Develop a deep understanding of probability theory, random variables, and stochastic processes. • Model uncertainty and randomness in various applied settings, such as finance, insurance, and inventory management. • Apply stochastic models to analyze queuing systems, Markov processes, and decision-making under uncertainty.

Subject Name: Differential Equations

Statements: • Formulate and solve ordinary and partial differential equations (ODEs and PDEs) that model real-world phenomena in physics, biology, and engineering. • Analyze the stability and behavior of dynamical systems using phase plane analysis and numerical methods. • Apply differential equations to model and interpret complex systems in various applied contexts. • Solve partial differential equations (PDEs) that arise in various fields such as heat transfer, wave propagation, and fluid dynamics. • Apply analytical and numerical methods to find solutions to PDEs and interpret the physical significance of the results.

Subject Name: Applied Algebra

Statements: • Demonstrate proficiency in linear algebra concepts, including vector spaces, linear transformations, eigenvalues, and eigenvectors. • Apply matrix theory to solve systems of linear equations and perform operations relevant to data science, optimization, and computer graphics. • Utilize linear algebra in developing algorithms for machine learning, signal processing, and numerical simulations. • Understand the principles of discrete mathematics, including graph theory, combinatorics, and algorithms.

Subject Name: Mathematical Modelling

Statements: • Formulate mathematical models to represent real-world problems in physical, biological, and social sciences. • Use simulation techniques to analyze and predict the behavior of complex systems. • Validate and refine mathematical models to ensure accuracy and applicability to real-world scenarios.

Subject Name: Mathematical Methods

Statements: • Develop numerical algorithms for solving mathematical problems that are difficult or impossible to solve analytically. • Develop Mathematical methods and tools like Fourier Series, Laplace Transform for solving Mathematical problems and its importance in solving real life based situation type of problems. • Implement numerical methods using programming languages such as Python, MATLAB, or R, focusing on accuracy, stability, and efficiency. • Apply numerical techniques to solve problems in fluid dynamics, structural analysis, and other scientific applications. • Master the concepts of complex functions, contour integration, and conformal mappings. • Apply complex analysis techniques to solve problems in fluid dynamics, electromagnetism, and signal processing.

Subject Name: Numerical Optimization

Statements: • Understand and apply optimization methods, including linear, nonlinear, integer, and dynamic programming. • Solve real-world optimization problems in operations research, logistics, finance, and engineering. • Use optimization software and tools to model and solve large-scale optimization problems.

Subject Name: (Practical-VI) Research Methodology and Multivariate Analysis

Statements: • Develop skills in research methodology, including literature review, mathematical writing, and presentation of research findings. • Formulate research questions, design experiments or studies, and use appropriate mathematical techniques to analyze results. • Prepare for writing a thesis or dissertation, including developing a proposal, conducting research, and defending findings.

Academy Year Title Download
2021-2022 Applied Mathematical Science

Gujarat University

Online Admission PhD
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