Coaching Institutes:
1. Super 30: A well-known coaching institute that provides free coaching to underprivileged students. The institute has a proven track record of helping students score above the cutoff in various competitive exams, including IIT JAM Mathematics. They provide comprehensive study materials, regular mock tests, and personalized guidance to students.

2. Resonance: Resonance is a renowned coaching institute that offers specialized coaching for IIT JAM Mathematics. They have experienced faculty members who provide in-depth knowledge of the topics, problem-solving techniques, and shortcut methods. The institute also conducts regular doubt clearing sessions and mock tests to track the progress of students.

3. Made Easy: Made Easy is a popular coaching institute that offers coaching for various competitive exams, including IIT JAM Mathematics. They have a team of highly qualified faculty members who provide comprehensive study materials, regular classroom sessions, and online test series to help students score well in the exam. The institute also provides post-exam support for further admission processes.

Online Platforms:
1. EduRev: EduRev is an online learning platform that offers a wide range of study materials, video lectures, practice questions, and mock tests for IIT JAM Mathematics. They have a user-friendly interface that allows students to access the study materials anytime and anywhere. The platform also provides performance analysis and personalized feedback to help students identify their weak areas and work on them.

2. NPTEL: NPTEL (National Programme on Technology Enhanced Learning) offers free online courses and study materials for various subjects, including mathematics. They have a dedicated section for IIT JAM Mathematics, where students can access video lectures, lecture notes, and assignments. The platform also conducts online certification exams, which can help students assess their preparation level.

3. Khan Academy: Khan Academy is a popular online learning platform that provides video lessons, practice exercises, and quizzes for various subjects, including mathematics. They have a dedicated section for IIT JAM Mathematics, where students can find comprehensive study materials and practice questions. The platform also provides personalized learning recommendations based on the student's performance.

In conclusion, coaching institutes like Super 30, Resonance, and Made Easy, along with online platforms like EduRev, NPTEL, and Khan Academy, can provide the necessary guidance and study materials to help students score above the cutoff in the IIT JAM Mathematics paper. Students can choose the option that suits their learning style and preferences.