The lessons we take from failure can be fundamental to later success. Recount an incident or time when you experienced failure. How did it affect you, and what did you learn from the experience? My hand scrambled across the page of my linear algebra test as I struggled to finish. 15 minutes left until the test is over. How do I find the orthogonal projection of a vector onto a plane? 10 minutes left. I need to find the vector normal to...

· If you are applying to the Trinity College of Arts & Sciences as either a first-year or transfer applicant, please discuss why you consider Duke a good match for you. Is there something particular about Duke that attracts you? (150 words maximum) · If you are applying to the Pratt School of Engineering as either a first-year or transfer applicant, please discuss why you want to study engineering and why you would like to study at Duke. (150 words maximum) I want to study...

Duke University seeks a talented, engaged student body that embodies the wide range of human experience; we believe that the diversity of our students makes our community stronger. If you’d like to share a perspective you bring or experiences you’ve had to help us understand you better-perhaps related to a community you belong to, your sexual orientation or gender identity, or your family or cultural background-we encourage you to do so. Real people are reading your application, and...

"Additional Information" Essay During sophomore year, I independently studied calculus because I wanted to challenge myself and learn math beyond what I was learning in school at the time. I taught myself calculus from a variety of sources, most heavily relying on Ohio State University's Calculus One and Calculus Two classes on Coursera. Every week, I spent about twelve hours watching online videos, reading materials, and working calculus problems. At the end of sophomore year, to officially demonstrate my proficiency...