Engr Undergrad Helper

Cheat sheets • Practice • Fast learning

Free cheat sheets + practice sets (Circuits DC, Statics, Calc II–IV).

Thermo, Circuits, and Calculus IV cheat sheets (incl. Calc IV Mid-2 & Final quick sheets). Circuits DC sets + Statics & Calculus II–IV practice. Ads keep this free.

One-page summaries Exam-style drills Printable A4
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Download free cheat sheets

Thermodynamics — Brayton & Rankine

PDF • formulas + worked examples
  • Key relations & state-point diagrams
  • Quick example flow with units
Download PDF View online

Intro to Circuits — AC Basics & Phasors

PDF • quick tables + examples
  • Impedance, phasors, complex power
  • Two-wattmeter method summary
Download PDF View online

Calculus IV — Vector Calculus Quick Ref

PDF • grad/div/curl • line/surface integrals • theorems
  • Green, Gauss, Stokes — statements + hints
  • Mini examples for set-up recognition
Download PDF View online

Calculus IV — Midterm 2 Quick Sheet

PDF • line integrals • Green’s Theorem • vector fields
  • Conservative tests, potentials, path-independence
  • Common set-ups + pitfalls
Download PDF View online

Calculus IV — Final Exam Quick Sheet

PDF • Stokes & Divergence Theorems • flux/circulation
  • Orientation & normals, surface/volume choices
  • Coordinate tricks + sanity checks
Download PDF View online
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Practice problems — Circuits DC, Statics, Calculus II–IV

Circuits — ECE2150J

Y'll should study for each topic first before start working on the problem!!!! Some of the solution might be sloppy, but i'll try my best :D
  • Set 1: KCL/KVL basics, series/parallel, source transforms, Thevenin and Norton
  • Set 2: AC state analysis for Final
Download Set 1 View Download Set 2 View

Calculus I — Midterm and Final Review/

Contain review note and some problem for calculus 1
  • Logic, induction, Root/Ratio test
  • Sequence , derivative

Calculus II — Full notes and practice problem

!! This pdf contains both notes and practice problem for the whole class, again you should study the topic by yourself first
PDF • integration techniques • series • applications
  • Parts, partial fractions, trig substitutions
  • Improper integrals & series basics
Midterm set View

Calculus III — Multivariable

PDF • partials • optimization • multiple integrals
  • Gradients, Lagrange multipliers
  • Double/triple integrals, Jacobians
Midterm set View Final set View

Calculus IV — Vector Calculus

PDF • line/surface integrals • vector theorems
  • Green, Gauss, Stokes — flux & circulation practice
Midterm set View

Need more sheets or problem sets?

If you want cheat sheets or practice problems for other classes, email me anytime:

prachmsn@gmail.com

Tell me the course (e.g., Dynamics, Materials, Signals) and the topics you want covered.