## What topics will I learn about in Pre-Calculus and Trigonometry?
Students successfully completing this course will to be able to: - Understand what a function is, understand and determine different properties of functions, evaluate a function at a given value, manipulate the function in a variety of algebraic and graphical ways, learn and work with different families of functions including conics, determine real and complex roots of polynomial functions, apply function concepts to application problems, and understand how parabolas, ellipses and hyperbola’s are mathematically represented.
- Understand the basic trigonometric functions and the radian measurement, be able to apply unit circle and angular concepts in trigonometric applications, understand and use various identities, laws and formulas to evaluate and prove trigonometric expressions and equations and to solve trigonometric application problems.
- Understand and solve linear, nonlinear, and multi-variable systems of equations and inequalities both mathematically and graphically.
- Understand and use matrices, matrix operations, their inverses and determinants to solve systems of equations.
- Understand and use vectors, dot products, complex numbers and polar coordinates to solve problems.
- Understand and use arithmetic and geometric sequences, their sums, the binomial theorem, counting principles, permutations, combinations, and probability to solve common problems.
Live classes will begin with prayer and have different interactive approaches to give students hands-on time with math problems as individuals and in small groups. Weekly pre-recorded lectures will show students how these math concepts are used in the real world and help students develop an appreciation for God’s masterful design in His creation. |