Math Monthly — Engineering Research Why Index Notation Comes First — Preparing for Tensor Analysis Author Jonathan David outlines the next stage of the Math Monthly engineering journal: developing index notation before moving into tensor analysis. The discussion connects mathematical definitions, technical writing, independent study, and collaborative work with unfamiliar […]
Daily Archives: November 6, 2026
17 posts
Math Monthly — Engineering Research Introduction to Index Notation — Vectors, Basis Vectors & Einstein Summation Author Jonathan David introduces index notation as preparation for tensor analysis. Beginning with sequences and finite sums, the lesson develops a three-dimensional vector in component and basis-vector form, then introduces the Einstein summation convention. […]
Math Monthly — Engineering Research Mary Boas Textbook Review — Tensor Analysis & Index Notation Author Jonathan David introduces Mary Boas’s Mathematical Methods in the Physical Sciences as a starting point for exploring tensor analysis and index notation. This discussion emphasizes reading definitions carefully, understanding the notation used by a […]
Math Monthly — Memberships & Live Research Join Math Monthly — Member Questions, Live Research & Handmade Journals Author Jonathan David explains the Math Monthly membership options, including website access, member requests, live group research sessions, and a handmade monthly journal. He also discusses his plans for member participation and […]
Math Monthly — Study Skills & Career Preparation How to Study in College and Prepare for Employment — Inside the Guide Author Jonathan David introduces his How to Study in College guide, developed from his experiences in employment, college coursework, and private tutoring. This preview discusses textbook notes, mathematical writing, […]
Math Monthly — Build Your Résumé Build Your Résumé and Digital Portfolio — WordPress, HTML & AI-Assisted Lesson Pages Author Jonathan David demonstrates how he organizes mathematical lessons on MathMonthly.com using WordPress, HTML accordions, PDF documents, video recordings, and transcript summaries. Follow the process of turning existing work into a […]
Math Monthly — How to Study How to Learn from a Textbook in College — Reading, Notes & Practice Author Jonathan David explains his approach to preparing for mathematics and physics courses: begin reading ahead, organize definitions and formulas, study the text carefully, and practice worked examples until you can […]
Math Monthly — How to Study Why STEM Majors Need Their Textbooks — Study Habits, Integrity & Career Preparation Author Jonathan David discusses his textbook-centered approach to college mathematics and physics. Drawing on personal experiences as a student and tutor, he connects mathematical reading, independent work, course instructions, and preparation […]
Math Monthly — Personal Experience & Study Advice Why I Left Private Tutoring — My Wyzant Story and Academic Integrity Author Jonathan David shares his account of working as a private mathematics tutor, leaving Wyzant, and reconsidering the role he played in students’ academic work. The discussion explores his change […]
Math Monthly — Calculus Crash Course Integral Test — Does the Series Converge or Diverge? Author Jonathan David examines a logarithmic series using the integral test. Follow the process of checking continuity, positivity, and decreasing behavior before evaluating the corresponding improper integral and stating the conclusion. Watch this integral test […]