Mathematics — Lectures
71 handbook sections · 474 formulas. Each lecture teaches the formulas, then shows the four ways the exam asks about them.
Symbols
0 eq
P(s) Power set of S
2 eq
Matrix of Relation
3 eq
Directed Graphs, or Digraphs, of Relation
0 eq
Finite State Machine
3 eq
Straight Line
8 eq
Quadratic Equation
2 eq
Quadric Surface (SPHERE)
3 eq
Logarithms
7 eq
Identities
5 eq
Algebra of Complex Numbers
23 eq
Euler's Identity
3 eq
Roots
3 eq
Trigonometric functions are defined using a right triangle.
8 eq
Identities
32 eq
Nomenclature
3 eq
Parabola
2 eq
Ellipse
5 eq
Circular Segment
2 eq
Circular Sector
2 eq
Sphere
2 eq
Parallelogram
6 eq
Regular Polygon (n equal sides)
6 eq
Prismoid
1 eq
Right Circular Cone
3 eq
Right Circular Cylinder
2 eq
Paraboloid of Revolution
1 eq
Conic Sections
19 eq
Conic Section Equation
7 eq
Differential Calculus
4 eq
Test for a Maximum
2 eq
Test for a Minimum
2 eq
Test for a Point of Inflection
6 eq
Curvature in Rectangular Coordinates
6 eq
L'Hospital's Rule (L'Hôpital's Rule)
4 eq
Integral Calculus
2 eq
Derivatives
30 eq
Indefinite Integrals
33 eq
Arithmetic Progression
2 eq
Geometric Progression
4 eq
Properties of Series
10 eq
Power Series
1 eq
Taylor's Series
4 eq
Differential Equations
12 eq
First-Order Linear Nonhomogeneous Differential Equations
2 eq
K is the gain
14 eq
Fourier Transform
6 eq
Laplace transform by replacing s with jω provided
2 eq
Fourier Series
6 eq
Fourier series of f(t) over the same interval.
39 eq
Laplace Transforms
16 eq
Matrices
0 eq
Multiplication of Two Matrices
4 eq
Addition of Two Matrices
2 eq
Matrix Transpose
1 eq
Inverse [ ]–1
6 eq
Matrix Properties
3 eq
Determinants
2 eq
Vectors
9 eq
Gradient, Divergence, and Curl
4 eq
Identities
16 eq
Difference Equations
1 eq
First-Order Linear Difference Equation
2 eq
Newton's Method for Root Extraction
6 eq
Given a scalar value function
2 eq
Newton's algorithm is
4 eq
Numerical Integration
1 eq
Euler's or Forward Rectangular Rule
2 eq
Trapezoidal Rule
15 eq
At some general time k∆t
3 eq
Dispersion, Mean, Median, and Mode Values
21 eq