你将学到什么
How to make conjectures, construct logical arguments, and justify your reasoning
The concept of function in mathematics, function characteristics and properties, and rate of change of functions
Modeling of common relations and functions such as linear, power, exponential, and logarithmic functions using statistical regression and matrix methods
An exploration of algebra and geometry, and the connections between the two in analytic geometry
Properties and applications of exponential and logarithmic functions including exponential growth and decay and The Logistic Function
The development of the trigonometric functions and identities along with applications of trigonometry
Limits and rate of change of functions as a precursor to Calculus
Other Coordinates Systems – an investigation of parametrization of the plane and the polar coordinate system along with exploration and use of vectors
Sequences and Series including The Method of Induction
Basic probability and combinatorics used in an investigation and development of the Binomial Theorem and its connections to Pascal’s Triangle
课程概况
In this interactive pre-Calculus course, you will deepen and extend your knowledge of functions, graphs, and equations from high school algebra and geometry courses so you can successfully work with the concepts in a rigorous university-level calculus course. This course is designed to engage learners in the “doing” of mathematics, emphasizing conceptual understanding of mathematical definitions and student development of logical arguments in support of solutions. The course places major emphasis on why the mathematics topics covered work within the discipline, as opposed to simply the mechanics of the mathematics.
课程大纲
The course is organized around the following seven units:
Functions, Rates, and Patterns
Algebra and Geometry
Exponential and Logarithmic Functions
Trigonometry
Limits and Rate of Change of Functions
Exploring Other Coordinate Systems
Sequences and Series
预备知识
A mastery of mathematics up through the Algebra II or College Algebra level.
