Lecture 1:

Review:

Trigonometry:

Must be able to perform the following:

Pythagorean Theorem: A² + B² = C²

Euler’s Equation:

Polar – Rectangular Conversion on Complex Plane: A + jB ---> M /d

Trigonometric Identities such as Cos A * Cos B = ½ [ Cos (A-B) + Cos (A+B)]

Algebra:

Must be able to solve N equations with N unknowns.

Must be able to manipulate Matrices using Cramer’s Rule: (see Appendix A)

Calculus:

Must be able to perform integration of the following forms: (see Appendix C)

ò a cos (bx+c) dx ò a e^bx dx ò ax² +bx +c dx

Must be able to perform differentiation of the following forms:

d(a cos (bx+c)) / dx d(a e^bx ) / dx d(ax² +bx +c dx) / dx

Be comfortable with computing ln x and e^x

Physics:

Definition of electric current: i = d(q) / dt (Current is a measure of the change in charge over time)

Definition of Electric Charge q = ò i dt

Charge on an electron: e = -1.602 x 10^-19

Definition of voltage (potential difference): v = dw/dq (Voltage is a measure of the change in work per

unit of charge)

Definition of power: p = dw/dt (Power is the change in work over time)