Rebuild the mathematical foundations needed for electrical engineering. This course follows the topic sequence of OpenStax Calculus Volume 1, grouping related sections into original Mogissi Academy lessons. Weeks 1–4 build the function foundations. Week 5 begins limits from graphs and tables. Continuity and derivatives are planned later.
Conceptual explanations, formula interpretation and derivations where useful, step-by-step examples, original labeled diagrams, common mistakes, and independent problems with worked answers. Use the core exercises as required study; optional extensions offer extra depth within your available time.
Define domain, range and codomain; interpret restricted graphs and average rates; build and check a sensor calibration.
Compare polynomial, rational and root models; distinguish holes from asymptotes; work with radians, amplitude, frequency and phase.
Choose inverse branches, solve growth and decay equations, apply logarithm rules and reject inadmissible solutions.
Track domains through multiple stages, find principal and general angle solutions, and interpret saturation and physical model limits.
Estimate one-sided limits from graphs and tables, explain holes and jumps, and solve eight practice problems.
The Week 4 practical checkpoint is a first-month milestone. The cumulative Month 3 checkpoint is still planned for the end of that phase and must also assess limits, introductory derivatives and the DC analysis covered by then. Later weekly labs build toward each three-month phase checkpoint; these future assessments are not yet published.
Use the weekly guide to balance calculus and DC study across 2–3 hours each weekday. Read actively, reproduce the worked solutions with the answers covered, solve the six core extension problems in each lesson, and keep an error log. On Friday, check predictions with graphs or software and review weak points. Take the linked Saturday exam and correct it using its separate solutions.
Calculus assumes basic algebra, fractions, powers and solving linear equations. Explain a domain and sketch a graph before starting the next block.