A structured record of my self-study in mathematics, including study logs, problem walkthroughs, deeper explorations and reflections, and preparation for advanced coursework.
Date Range: December 5 – December 20 Hours Spent:20 hours 8 hours on lectures and notes Professor Leonard – Calculus 2 Lecture 10.2: Introduction to Parametric Equations & Professor Leonard Calculus 2 Lecture 10.3 Calculus of Parametric Equations 12 hours…
Date Range: November 28 – December 4 Hours Spent:12 hours 6 hours on lectures and notes 1 : Professor Leonard – Calculus 2 Lecture 9.8: Representation of Functions by Taylor Series and Maclauren Series (Calculus 2 Lecture 9.8:…
Date Range: November 24 – November 28 Hours Spent:12.5 hours Summary: Power series are infinite series in the form of Where c is the center and are the coefficients. The standard form is the special case centered at c…
Date Range: November 16 – November 22 Hours Spent:20 hours Summary: This blog entry is a little lengthier than normal as it’ll be covering two different sections. That’s because Professor Leonard lectured on Alternating Series first, but the textbook covered…
Date Range: November 10 – November 15 Hours Spent:14 hours This unit, as the name implies, covers two comparisons that are used to determine convergence or divergence of a series. So I’ll break it down by comparison. The Comparison Test…
Date Range: November 5 – November 10 Hours Spent:14 hours: Summary: Calculus 2 has basically been “here is an integration technique for integrating terms that you don’t yet know how to integrate” repeated over and over. Now I wade into…
Date Range: November 1 – November 5 Hours Spent:14 hours – We’re introduced to telescoping series, e.g. n=1[1/(2n+3) – 1/(2n + 1)] which result in partial sums made up of the first and last terms of the respective partial series.…
Date Range: October 27 – October 31 Hours Spent: 15 Summary:I’ve begun a new unit on infinite sequences and series. Herein was an introduction to what sequences are, how to write them, the terminology, etc. I first am taught to…
Date Range: October 20 – October 26 Hours Spent: 17 hours Summary:This was an introduction to differential equations – I’ve never dealt with them before. These are essentially equations involving two different functions, each in terms of separate variables. I…
This is the last blog that was backlogged as a result of my website server blacklisting the Yogyakarta Special Region (and my too easily shelving the task until later). I’m currently in beautiful Vung Tau, Vietnam, a place I have…
