1. Integration Bee: For Undergraduate
1.1. Syllabus
▪ Integration up to undergrad level
1.2. Formats and Rounds
▪ There will be a total of 5 rounds: Elimination round, top 16, quarter final, semifinal and final ▪ Elimination round will be MCQ based written test; Top 16 is a 4 way match up; and quarter final, semifinal and final is one to one knock-out.
▪ In Top 16, quarter final, semifinal and final, participants need to solve the problem on the board. 1.2.1. Elimination Round
▪ The Elimination Round will be a written test consisting of 30 MCQ based integrations. ▪ For each correct answer, participants will get 4 marks and participants will lose 2 mark for each wrong answer.
▪ The participants will have 30 minutes to solve these integrations, and the top 16 will be advanced to the Super 16.
▪ If there is a tie, the ratio of the correct attempts will be considered.
1.2.2. Super 16
▪ There will be a 4-way matchup to select the top 8, i.e., four students will be called at a time to solve integration on the board.
▪ Each student will have five integrations to solve, and the duration for each integration is 3 minutes.
▪ Marking: Out of 4 participants, if X solves and Y fails, then solvers get Y points, and the rest lose X points each.
▪ For example, if 1 participant solves an integral correctly out of 4, the solver will get 3 points, and the rest will lose 1 point each.
▪ Tie-Breaker: The number of correct answers will be considered.
1.2.3. Quarter Final
▪ Knockouts: The quarter finals will be decided based on the position in Super 16. • QF1: 1 vs 8
• QF2: 2 vs 7
• QF3: 3 vs 6
• QF4: 4 vs 5
▪ Each knockout will have 3 integrations and time to solve each integration is 3 minutes. ▪ Tie-Breaker: Additional round will be there and this will repeat until a winner is decided.
1.2.4. Semifinal
▪ Knockouts
• SF1: Winner of QF1 vs Winner of QF4
• SF2: Winner of QF2 vs Winner of QF3
▪ Each knockout will have 5 integrations and time to solve each integration is 4 minutes. ▪ Tie-Breaker: Additional round will be there and this will repeat until a winner is decided.
1.2.5. Final
▪ Winner of SF1 vs Winner of SF2
▪ Each knockout will have 7 integrations and time to solve each integration is 5 minutes. ▪ Tie-Breaker: Additional round will be there and this will repeat until a winner is decided.
▪ Eliminated quarter finalist
▪ Eliminated semifinalist
▪ Winner and Runner-up trophy and Prize Money for Winer and Runner-up.
1.4. General Rules
▪ Calculators, formula sheets or any other gadget are not allowed.
▪ The integrals can be definite or indefinite
▪ Participants do not have to write the arbitrary constant (+C) for indefinite integral. ▪ Participants can leave the answer in terms of large power/binomial coefficient/factorial etc. We will check if the answer is equivalent or not.
▪ Only the final answer will be evaluated.
▪ Participants need to circled/boxed the final answer for the judge to evaluate. ▪ If participant want to change the answer, he/she have to erase or strike out the previous answer.