Master of Science (M.Sc.) Mathematics Course Syllabus - University of Petroleum and Energy Studies (UPES)

  • Years 2 Years
  • Type Course Post Graduate
  • stream Science
  • Delivery Mode
  • university verified
Written By universitykart team | Last updated date Jul, 07, 2024

The Master of Science (M.Sc.) Mathematics syllabus at University of Petroleum and Energy Studies (UPES), Dehradun is designed to provide overall knowledge to the students with a strong foundation. Master of Science (M.Sc.) Mathematics faculty at University of Petroleum and Energy Studies (UPES) specially focus on in-depth learning to relevant subjects. At first semester syllabus of Master of Science (M.Sc.) Mathematics at University of Petroleum and Energy Studies (UPES), students learn the basics of programme. A strong foundation is very important for comprehensive learning. Master of Science (M.Sc.) Mathematics syllabus at University of Petroleum and Energy Studies (UPES), Dehradun maintains a balance between theoretical knowledge and practical knowledge.

Master of Science (M.Sc.) Mathematics first year students at University of Petroleum and Energy Studies (UPES) are introduced with core subjects. Then they are encouraged to explore other area for a broader perspective. University of Petroleum and Energy Studies (UPES), Dehradun also provides practical training sessions, workshops, projects, and case studies to enhance student skills. Master of Science (M.Sc.) Mathematics syllabus at University of Petroleum and Energy Studies (UPES), Dehradun is also frequently updated to give industry relevant training and knowledge to students. University of Petroleum and Energy Studies (UPES) strives to provide a nurturing environment where students can learn new skills. The hands-on training sessions at University of Petroleum and Energy Studies (UPES) enable Master of Science (M.Sc.) Mathematics students to apply knowledge and skills in a controlled environment and get required experience.

According to syllabus of Master of Science (M.Sc.) Mathematics progress, students learn advanced topics and complex concepts. The Master of Science (M.Sc.) Mathematics curriculum at University of Petroleum and Energy Studies (UPES), Dehradun mainly focuses on analytical and critical thinking. As the Master of Science (M.Sc.) Mathematics course unfolds, students develop several important skills that increases their employability. As per syllabus of Master of Science (M.Sc.) Mathematics at University of Petroleum and Energy Studies (UPES) also includes real-life projects and internship programs. It helps students critical thinking and gives them real-world experience.

Master of Science (M.Sc.) Mathematics curriculum at University of Petroleum and Energy Studies (UPES) includes group discussions, guest lectures, case studies, and skill development workshops to enhance the learning experience. The Master of Science (M.Sc.) Mathematics syllabus at University of Petroleum and Energy Studies (UPES) aims to create well-rounded professionals equipped with the necessary skills and knowledge to succeed in their chosen fields.

Additional curriculum at University of Petroleum and Energy Studies (UPES)

  1. Workshops and Seminars - Regular sessions with industry experts help Master of Science (M.Sc.) Mathematics students at University of Petroleum and Energy Studies (UPES) to stay updated with current trends.
  2. Group Projects - Collaborative projects according to University of Petroleum and Energy Studies (UPES) syllabus develop teamwork and problem-solving skills.
  3. Case Studies - Master of Science (M.Sc.) Mathematics syllabus offers analysis of real-world scenarios to apply theoretical knowledge.
  4. Extracurricular Activities - University of Petroleum and Energy Studies (UPES) offers several activities like sports, clubs, societies, etc. to encourage overall development.

Note: Given below syllabus is based on the available web sources. Please verify with the University of Petroleum and Energy Studies (UPES), Dehradun for latest Master of Science (M.Sc.) Mathematics curriculum.

Syllabus for M.Sc. in Mathematics Course

The Master of Science (M.Sc.) in Mathematics program offers an advanced and comprehensive curriculum that covers a wide range of mathematical topics. Students delve into areas such as advanced calculus, linear algebra, abstract algebra, real analysis, complex analysis, and functional analysis. They also explore specialized branches of mathematics like number theory, differential equations, topology, and mathematical modeling. The program emphasizes both theoretical understanding and practical applications, with coursework often including advanced problem-solving techniques and mathematical proofs. In addition to core mathematics courses, students may have the flexibility to choose electives that align with their interests, such as mathematical finance, cryptography, or numerical analysis. This program equips graduates with advanced mathematical knowledge and problem-solving skills, preparing them for careers in academia, research, data science, finance, engineering, and various industries where mathematics plays a crucial role.

Syllabus of M.Sc. in mathematics

Year 1

S.No
Subjects
1
Real Analysis 
2
General Topology
3
Advanced Calculus 
4
Differential Geometry                                                                          
5
Linear Algebra
6
Groups and Rings
7
Number Theory 

Year 2

S.No
Subjects
1
Elements of Functional Analysis                                                        
2
Topology                                                                            
3
Commutative Algebra
4
Theory of Numbers
5
Algebraic Number Theory
6
Galois Theory
7
Differential equations and its applications
8
Algorithms and computations
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