Ph.D Mathematics Syllabus and Subjects

Duration: 3 Years
Avg Fees: ₹20K - 3 LPA

PhD Mathematics is a three-five-year doctoral program that focuses on familiarizing students with the research to find solutions to mathematical problems. They prioritize practical experience and skills. The PhD Mathematics syllabus is intended to provide students with all of the information they require to meet the demands of the industry. The PhD Mathematics syllabus teaches students about Mathematical Analysis, Finding Statics, Research Methodology, Data and Dynamics, and many more.

PhD Mathematics Semester Wise Syllabus

The PhD Mathematics course syllabus is designed to provide students with an understanding of mathematical advances in research and training. The PhD Mathematics course curriculum is intended to provide an in-depth examination of mathematical patterns in various career opportunities such as Science, Geography, Oceanography, Data Interpretation, and so on. The PhD Mathematics subject list syllabus is divided below into semesters:

PhD Mathematics First Year Syllabus

The table below contains the subjects from the PhD Mathematics first-year syllabus:

PhD Mathematics First Year Syllabus

 Semester I

Semester II

Algebra

Computational Techniques

Analysis

Computer Techniques

Calculus

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PhD Mathematics Second Year Syllabus

The table below contains the subjects from the PhD Mathematics second-year syllabus:

PhD Mathematics Second Year Syllabus

Semester III

Semester IV

Differential Equation

English Literature

Differential Geometry

Linear Programming

Discrete Mathematics

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PhD Mathematics Third Year Syllabus

The table below contains the subjects from the PhD Mathematics third-year syllabus:

PhD Mathematics Third Year Syllabus

Semester V

Semester VI

Mathematical Finance

Number Theory

Mechanics

Probability Theory

Metric Space

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PhD Mathematics Subjects

The PhD Mathematics course is a two-year study period on the student's chosen specialization in mathematical patterns. The following are the subjects in PhD Mathematics:

  • Algebra
  • Differential Equation
  • Mathematical Finance
  • Analysis
  • Differential Geometry Mechanics
  • Calculus
  • Discrete Mathematics
  • Metric Space
  • Computational Techniques
  • English Literature
  • Number Theory
  • Computer Science
  • Linear Programming
  • Probability Theory

PhD Mathematics Course Structure

The PhD Mathematics course subject and syllabus cover fourteen topics. The theoretical component of the course focuses on the principles and values of mathematical patterns and mechanics, English Literature, and computers. The course structure initially focuses on familiarizing students with advanced mathematics and training them on the fundamentals of problem-solving patterns. The following topics are covered in the PhD Mathematics course:

  • Three years
  • Fourteen Subjects
  • Projects and Dissertation
  • Research Methodology

PhD Mathematics Teaching Methodology and Techniques

The theoretical component of the PhD. Mathematics course subjects and syllabus focuses on the principles and values of mathematical patterns and Mechanics, English Literature, and computers. The course structure is designed to familiarize students with the fundamentals of mathematical patterns through hands-on experience.

  • Case Studies
  • Paper Presentation
  • Projects

PhD Mathematics Project

The PhD Mathematics program combines theory with project work. The project's goal is to ensure that students are familiar with finding, reasoning, and obtaining solutions to existing mathematical problems. Some of the PhD Mathematics Project topics are as follows:

  • Game Theory and Algebra
  • Dynamic System and Ergodic Theory
  • Geometrics Flows in Hermitian Geometry
  • Projects in Computational Topology

PhD Mathematics Reference Books

Various books touch on different topics in PhD Mathematics. These books provide guidelines and basic information on research and its techniques. Listed below are some PhD Mathematics books for reference:

PhD Mathematics Reference Books

Calculus for Scientists and Engineers

K.D. Joshi

Foundations of Discrete Mathematics

K.D. Joshi

Introduction to Measure and Integration

Inder K Rana

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