Math Foundations

Manipulate algebraic expressions, solve linear and quadratic equations, work with systems of equations, and simplify rational expressions — the symbolic toolkit used throughout every engineering course.

Understand function notation, domain and range, compositions, inverses, and graph transformations. Build the fluency with function behavior that calculus relies on.

Apply the Pythagorean theorem, similarity, angle relationships, and area formulas to triangles, circles, and composite figures — the spatial reasoning foundation for statics and design.

Master trig ratios, the unit circle, identities, and the Laws of Sines and Cosines. Covers radian measure, graphing sinusoids, and solving trig equations used across physics and engineering.

Work with exponential growth and decay, compound interest, the natural exponential, and logarithmic properties. Learn to solve exponential equations using log rules and change of base.

Perform arithmetic with complex numbers in rectangular and polar form, plot them on the complex plane, and apply Euler's formula — essential preparation for circuits and signal analysis.