Improve Workforce Efficiency

Course #: 6561A-B
Duration: 20 hours
Course Prerequisites: Plane Trigonometry (2309A-B); Introduction to Algebra, Geometry, and Trigonometry (Block X02);
What Students Learn: PART 1 (6561A). Number Line; Rectangular Coordinates; Length and Midpoint of Line Segment; Graph of Linear Equation; Slope, Intercept, and Angle of Inclination of Straight Line; Finding Equation for Line from Slope and One Point and from Two Points; Intersection of Two Lines; Angle Between Two Lines; Perpendicular Lines; Parallel Lines.
PART 2 (6561B). Conic Sections and Methods of Analytic Geometry; Circle as a Locus; Equation of Circle; Translation of Axes; Equation of Ellipse; Problems Concerning Ellipse; Equation of Parabola in Various Positions; Equation of Hyperbola; Asymptotes of Hyperbola; Tangents of Conic Sections and Their Equations; Meaning of Functions; Exponential, Logarithmic, and Trigonometric Functions; Polar Coordinate System; Relations Between Polar and Rectangular Coordinates; Three-Dimensional Coordinate System.

Special Notes: Covers subject at an advanced, in-depth level.

Course #: 6618A-D
Duration: 40 hours
Course Prerequisites: Plane Trigonometry (2309A-B); Analytic Geometry (6561A-B);
What Students Learn: PART 1 (6618A). Basic Discussion of Continuity, Limits, and Average Rate of Change; Exact Rate of Change; Derivatives; Application of Derivatives.
PART 2 (6618B). The Antiderivative; The Integral; Application of the Integral to Variable Quantities such as Velocity, Distance, Area, Volume Charge, Voltage, and Power.
PART 3 (6618C). Derivatives of Trigonometric, Exponential, and Logarithmic Functions; Applications.
PART 4 (6618D). More Forms of Integrals; Additional Applications such as: Areas and Volumes of Conics, First Moments, Centroids and Centers of Gravity, Second Moments and Moments of Inertia, Work on Variable Loads, and Transients in Electric Circuits.

Special Notes: Covers subject at an advanced, in-depth level.