Discovery Precalculus: A Creative and Connected Approach

开始时间: 04/22/2022 持续时间: 15 weeks

所在平台: EdxArchive 课程类别: 其他类别 大学或机构: UTAustinX 授课老师： Mark L. Daniels Jeremiah W. Lucas

课程主页: https://www.edx.org/archive/discovery-precalculus-creative-connected-utaustinx-ut-prec-10-01x

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课程详情

In Discovery Precalculus - A Creative and Connected Approach, students deepen and extend their knowledge of functions, graphs, and equations from their high school algebra and geometry courses so they can successfully work with the concepts in a rigorous university-level calculus course. This course is designed to engage students 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.

Learn more about our High School and AP Courses

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Video by Thomas Humphreys
Music by Chris Zabriskie 

课程大纲

• The important skill of making conjectures, constructing logical arguments, and justifying 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 The 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

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