Collegemathematics

We found 3 articles

How to prove the Pythagorean Theorem
The Pythagorean Theorem plays an essential role in many facets of math from Euclidean Geometry to complex numbers to trigonometry. Today we’ll explore one of its many proofs.
How to approach initial value word problems
We’ve all been there: on a homework set or in an exam, you turn to the final page and, to your dismay, it’s a wall of text. The dreaded Word Problem. Some of the words are useful, but some of them are meant to distract. Let’s look at a strategy for answering initial value word problems.
An introduction to enumeration using generating functions
In the year 1202, Italian mathematician Leonardo Fibonacci published the extremely influential Liber Abaci (Book of Calculations). The book's most significant contribution was to bring to Europe the Hindu-Arabic number system that we all use today. But it also contained a curious thought experiment about the reproductive patterns of rabbits, which ...
topicTopics
academics study skills MCAT medical school admissions SAT expository writing college admissions English MD/PhD admissions GRE GMAT LSAT chemistry strategy writing math physics ACT biology language learning test anxiety graduate admissions law school admissions MBA admissions interview prep homework help creative writing AP exams MD academic advice career advice study schedules summer activities history personal statements premed philosophy secondary applications Common Application computer science test prep organic chemistry supplements PSAT admissions coaching economics grammar ESL law statistics & probability psychology SSAT covid-19 legal studies reading comprehension 1L CARS logic games Spanish USMLE calculus dental admissions engineering parents research Latin verbal reasoning DAT excel mathematics political science French Linguistics Tutoring Approaches chinese DO MBA coursework Social Advocacy academic integrity biochemistry case coaching classics diversity statement genetics geometry kinematics medical school mental health quantitative reasoning skills IB exams ISEE MD/PhD programs PhD admissions algebra astrophysics athletics business business skills careers data science internships letters of recommendation mentorship social sciences software engineering tech industry trigonometry work and activities 2L 3L AMCAS Academic Interest Anki EMT English literature FlexMed Fourier Series Greek Italian MD vs PhD Montessori Pythagorean Theorem STEM Sentence Correction TMDSAS Zoom admissions advice algorithms amino acids analysis essay architecture argumentative writing art history artificial intelligence cantonese capacitors capital markets cell biology central limit theorem chemical engineering chromatography class participation climate change clinical experience cold emails community service constitutional law cover letters curriculum dental school distance learning enrichment european history executive function finance first generation student fun facts functions gap year harmonics health policy history of medicine history of science hybrid vehicles information sessions institutional actions integrated reasoning intern international students investing investment banking logic mandarin chinese mba mechanical engineering meiosis mitosis music music theory neurology operating systems pedagogy phrase structure rules plagiarism poetry pre-dental presentations proofs pseudocode resume school selection science simple linear regression sociology software study abroad synthesis teaching technical interviews time management transfer typology units virtual interviews writing circles