1. Understanding Complex Concepts: Students will develop a deep understanding of complex math subjects like quantum calculus, fractals, infinity, P vs. NP, and imaginary numbers. They will grasp the fundamental principles behind these topics and their real-world applications.

2. Critical Thinking and Problem-Solving: Through interactive activities and challenging problem sets, students will enhance their critical thinking and problem-solving skills. They will learn to approach math problems from multiple perspectives and devise innovative solutions.

3. Applying Mathematical Creativity: Students will explore the creative side of math by using their imagination to represent mathematical concepts artistically, such as drawing fractals or visualizing abstract equations.

4. Building Mathematical Confidence: By breaking down difficult concepts into manageable parts and providing a supportive learning environment, students will build confidence in their math abilities. They will develop a positive mindset towards tackling challenging math problems.

5. Appreciating the Interdisciplinary Nature of Math: The course will highlight how math connects with other fields, such as physics, computer science, and art. Students will appreciate the interdisciplinary nature of mathematics and its role in various disciplines.

6. Collaboration and Communication Skills: Through group activities and discussions, students will enhance their collaboration and communication skills. They will learn to articulate their ideas clearly and work effectively in teams.

7. Analyzing Real-World Applications: Students will explore real-world applications of the topics covered in the course. They will analyze how these mathematical concepts are used in scientific research, technology, and everyday life.

8. Developing a Growth Mindset: Students will embrace a growth mindset towards math, understanding that intelligence and abilities can be developed through dedication and effort. They will learn from mistakes and see challenges as opportunities for growth.

9. Engaging with Mathematical Challenges: Students will be encouraged to tackle challenging math problems beyond the scope of the course. They will develop resilience and persistence in problem-solving.

10. Fostering Curiosity and Lifelong Learning: The course will ignite curiosity and a passion for learning in students. They will be inspired to explore more math topics beyond the classroom and continue their mathematical journey in the future.

By the end of "Are you sure this is Math?" course, students will not only have mastered some of the most difficult math strategies but also gained a newfound appreciation for the beauty and versatility of mathematics. They will leave the class as confident and creative problem solvers, ready to embrace the wonders of math in their academic and personal pursuits.