New: calculusAll contenthive-129948hive-196917krzzanhive-183959steemhive-180932photographyhive-166405hive-144064uncommonlabhive-185836bitcoinhive-183397krsuccesshive-150122hive-188619hive-124908hive-101145lifehive-139150hive-145157hive-184714hive-109690hive-103599TrendingNewHotLikersjacabhobes (29)in calculus • 4 months agoCalculus, 9th Edition by James Stewart: An In-Depth Resource for Students in the USA and CanadaCalculus 9th Edition James Stewart is a pivotal textbook for students in the USA and Canada, offering a comprehensive exploration of calculus concepts and their applications. Renowned for its clear…ukedubirdie (27)in education • 6 months agoEssential Calculus Concepts Every College Freshman Should KnowImagine starting your first college calculus class only to be overwhelmed by unfamiliar terms and complex problems. For many freshmen, calculus can seem like an insurmountable challenge. In fact, a…mes (67)in hive-196037 • 6 months agoBlackbody Radiation Questions 3,4: Comparing Planck's Law to Rayleigh-Jeans Law for the SunIn this video I graph out the blackbody radiation energy density for the Sun using both Planck's Law and the classical Rayleigh-Jeans Law. At high wavelengths, both models are similar but at low…brianwong (53)in hive-180932 • 7 months ago微积分的历程古希腊时期：古希腊数学家阿基米德和尤几里德对无穷小量和曲线的性质进行了初步的研究，这为微积分的发展奠定了基础。 牛顿与莱布尼茨：17世纪，牛顿和莱布尼茨几乎同时独立地发明了微积分学。牛顿将微积分用于物理学中的力学和天文学问题，而莱布尼茨则将其用于分析几何和解决曲线问题。他们分别发展了微积分的核心概念，如导数和积分，并建立了微积分的基本原理和符号表示法。…zyrly13 (25)in weijifen • 7 months ago什么是微积分？看完清楚明了！微积分（Calculus）是研究函数的微分、积分以及有关概念和应用的数学分支。微积分是建立在实数、函数和极限的基础上的。微积分最重要的思想就是用"微元"与"无限逼近",好像一个事物始终在变化你不好研究,但通过微元分割成一小块一小块,那就可以认为是常量处理,最终加起来就行。 微积分学是微分学和积分学的总称。…hyetta (36)in health • 9 months agoMeteorism, Dental Calculus, Excess Saliva & ZincIf you suffer from one or all of above mentioned, maybe try supplementing with some zinc.mes (67)in hive-196037 • 11 months agoReview Question 12: Binomial SeriesIn this video I over a quick recap on the binomial series, its radius of convergence, and its binomial coefficients. A binomial series is an infinite series for the function (1 + x)k where k is any…mes (67)in hive-196037 • 11 months agoReview Question 11: Table of Maclaurin SeriesIn this video I quickly go over a list of common Maclaurin series and their radius of convergence. The first series is for the function 1/(1-x), then ex, sin x, cos x, arctan x, and finally ln(1+x).…mes (67)in hive-196037 • 11 months agoReview Question 10: Taylor and Maclaurin SeriesIn this video I recap on Taylor polynomials, Taylor series, Maclaurin series, and Taylor's inequality. A Taylor polynomial is a finite sum with terms consisting of the i-th derivative at a divided…mes (67)in hive-196037 • last yearReview Question 9: Derivative and Integral of Power SeriesIn this video I recap on term-by-term differentiation and integration of power series. This theorem, which I proved in my earlier video, states that the derivative of a power series is equivalent to…mes (67)in hive-196037 • last yearReview Question 8: Power Series, Radius and Interval of ConvergenceIn this video I recap on power series and the conditions that it converges, that is, its radius and interval of convergence. A power series has terms of the form: constant * (x - a)n. There are only…mes (67)in hive-196037 • last yearReview Question 7: Estimating Sums for the Integral, Comparison, and Alternating Series TestsIn this video I recap on estimating the sum of a series based on whether it converges by the Integral Test, Comparison Test, or the Alternating Series Tests. If a series is convergent by the…mes (67)in hive-196037 • last yearReview Question 6: Absolutely Convergent and Conditionally Convergent SeriesIn this video I quickly recap on absolutely and conditionally convergent series. An absolutely convergent series is such that the absolute value of all the terms of a series is convergent. Since the…mes (67)in hive-196037 • last yearReview Question 5: Recap on Tests for Convergence or Divergence of Infinite SeriesIn this video I recap on 7 different types of tests for determining if an infinite series converges or diverges. The first is the Test for Divergence which states that if the limit of the sequence…mes (67)in hive-196037 • last yearReview Question 4: Limit of the Series Terms vs. Partial SumsIn this video I go over a quick recap on how the sum of a series affects the limit of its terms and its partial sums. If an infinite series sums up to 3, then this must mean that the terms of the…mes (67)in hive-196037 • last yearReview Question 3: Geometric Series and p-SeriesIn this video I go over a quick review of geometric series and p-series and show the circumstances for when they are convergent. A geometric series has all the terms being a constant number…mes (67)in hive-196037 • last yearReview Question 2: Monotonic Sequence TheoremIn this video I review bounded and monotonic sequences as well as the monotonic sequence theorem. A bounded sequence is one in that is bounded above and bounded below. A sequence is bounded above if…mes (67)in hive-196037 • last yearReview Question 1: Convergent Sequence vs Convergent SeriesIn this video I go over a quick review of what convergent sequences and convergent series are. A sequence is just a list of numbers, and it is said to be convergent if its limit approaches a…mes (67)in hive-196037 • last year3D to 2D Projection Formula: PROOFIn this video I derive the formula for projecting 3D coordinates onto a 2D screen using similar triangles. First I plot out the coordinates in 3D and then draw a straight line from the point where…mes (67)in hive-196037 • last yearTrigonometry Graphing: Sin, Cos, Tan FunctionsA simple introduction to graphing Sine, Cosine and Tan Functions is shown. These functions are cyclical and are used in many real world applications so it is very important to understand there…
