Basic trigonometry: The number p; Radians and degrees; Trigonometric functions and their graphs; Generalizations and inverse trigonometric functions; The algebra of trigonometric identities and equations; Right triangle trigonometry; The law of sines and the law of cosines; Applications.
Topics include theory, procedures, and practices from pre-algebra, beginning algebra, and intermediate algebra. This course has multiple exit levels where students can earn a grade of "P" for passing the highest-level course mastered and become eligible to enter subsequent courses in their plan of study.
Solution: To solve for x, we want x alone on one side of the equation. Topics include algebraic, exponential, logarithmic and trigonometric functions and their inverses and identities, conic sections, sequences, series, the binomial theorem, and mathematical induction.
Focuses on problem solving and practical applications on topics such as percent, proportion, and measurement. Because it does not count towards a degree, the stress associated with course marks is reduced and students can better concentrate on their learning.
This course focuses on the mathematical background needed for entry-level university science and math courses, expanding and developing relevant skills and techniques of reasoning.
Additional topics include graphing linear equations in two variables, polynomials and properties of exponents and factoring. Equations, inequalities and systems: equations in quadratic form; Absolute value, rational and radical equations; General equation solving; Polynomial, rational and absolute value inequalities; General solving and graphing of algebraic inequalities; Systems of linear equations; Gaussian elimination; Non-linear systems and systems containing inequalities; General system solving; Setting up equations; inequalities and systems; Working with word problems; Applications.
Topics include concepts from elementary and intermediate algebra and analytic geometry that are needed to understand the basics of college-level algebra. In general terms, a student must have a working knowledge of basic high school algebra, linear and quadratic functions, and elementary analytic geometry.
There will be plenty of opportunities to write proofs in the style of each topic, explore the topic at a higher level of rigour than before, and receive feedback.