Precalculus

Conic sections covers the definitions, formulas or algebraic representations, and graphs of circles, ellipses and hyperbolas, as well as applications to nonlinear equations Topics include:

Sequences and Series teaches students how to define, notate and interpret different types of series and sequences, such as arithmetic and geometric, and how to use mathematical induction in proofs and on their homework. Topics include:

Equations of lines and circles covers the algebraic representation of parallel lines, perpendicular bisectors, circles, and introduces the theory and problems for parabolas Topics include:

Polynomial and rational functions covers the algebraic theory to find the solutions, or zeros, of such functions, goes over some graphs, and introduces the limits. Topics include:

Exponential and logarithmic functions covers concepts from powers and logarithms, including some emphasis on the natural logarithm and applications to problems of growth and decay Topics include:

Basic trigonometry covers the definitions and formulas for the basic trigonometric ratios, as well as the fundamental theorems and some applications Topics include:

Trigonometric functions covers the concepts, formulas, and graphs used in trigonometry, and introduces some of the basic identities Topics include:

Advance trigonometry covers the inverse trigonometric functions, solving equations involving trig concepts, and additional identities, including those of double and half angles Topics include:

Vectors and parametric equations covers the geometric and algebraic representations of vectors, operations, and applications to parametric equations and 3D coordinate systems Topics include:

Polar coordinates and complex numbers covers the polar/rectangular relationship and the representation of basic graphs. Also introduces the complex plane and applications. Topics include:

Systems of linear equations and matrices covers methods to find the solutions to a system, including methods using matrices, supported by the main concepts from matrix algebra Topics include:

Topics in discrete math covers concepts, formulas, notation and problems related to combinatorics, with applications to probability and binomials Topics include:

Linear equations and inequalities covers their applications to problem solving, including absolute values, graphing and inequalities with 2 variables Topics include:

Functions teaches students how to properly use function notation, how to find domain and range, and how to graph different function transformations. Topics include: