This course helps to build the foundational material to use mathematics as a tool to model, understand, and interpret the world around us. This is done through studying functions, their properties, and applications to data analysis. Concepts of precalculus provide the set of tools for the beginning student to begin their scientific career, preparing them for future science and calculus courses. This course is designed for all students, not just those interested in further mathematics courses. Students interested in the natural sciences, computer sciences, psychology, sociology, or similar will genuinely benefit from this introductory course, applying the skills learned to their discipline to analyze and interpret their subject material. Students will be presented with not only new ideas, but also new applications of an old subject. Real-life data, exercise sets, and regular assessments help to motivate and reinforce the content in this course, leading to learning and mastery.
Dieser Kurs ist Teil der Spezialisierung Spezialisierung Precalculus through Data and Modelling
von
Spezialisierung Precalculus through Data and ModellingJohns Hopkins UniversityÃœber diesen Kurs
Some familiarity with algebraic expressions and function basics at the high school level.
Was Sie lernen werden
Model data with both single and multivariable functions
Visualize and analyze data using different technologies.
Understand properties of different types of functions to apply them accordingly to model different situations.
Perform vector operations, such as addition, scalar multiplication, dot product, and cross product, to analyze geometry in space.
Some familiarity with algebraic expressions and function basics at the high school level.
von
Johns Hopkins University
The mission of The Johns Hopkins University is to educate its students and cultivate their capacity for life-long learning, to foster independent and original research, and to bring the benefits of discovery to the world.
Lehrplan - Was Sie in diesem Kurs lernen werden
Module 1: Basics and Common Functions
Functions help to study the relationship between two or more variables. They are the basic quantitative tool used to visualize, analyze, and interpret these relationships. Studying functions is the first step in developing analytics skills for mathematical modeling. In this module, we develop the concept of a function and review important algebraic operations on functions used later in this course. We will also study the important features, like domain, range, and end behavior of graphs.
Module 2: Equations of Lines, Quadratics, and More Functions
In this module, we will study two common types of functions: linear and quadratic. We will learn how to identify common features of their graphs, and see how they can be used to model real world situations, particularly those involving revenue and cost. We will also further explore function compositions, and learn how to find the inverse of a function.
Module 3: Exponential and Logarithmic Functions
In this module, we expand our catalog of functions to study two new functions that arise when modelling natural phenomena: the exponential and logarithmic functions. In the last module, we saw that one-to-one functions have inverses, which reverse the function process. For example, the function f(x) = x^3 has as its inverse the function g(x) = x^(1/3). We now want to expand this process to find inverses for exponential functions - those of the form f(x) = a^x, where a is a positive number not equal to one.
Module 4: Properties of Logarithms
Understanding the logarithm as an exponent allows for important algebraic properties of the logarithm. In this module, we will explore these properties and their uses as we apply logarithms to real world examples.
Bewertungen
- 5 stars78,57Â %
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- 3 stars3,17Â %
- 2 stars0,79Â %
- 1 star3,17Â %
Top-Bewertungen von PRECALCULUS: RELATIONS AND FUNCTIONS
Great course explained everything concisely. However the sample problems and test of week 1 had certain sums which were not covered in the video
The course content is great, but despite dozens of moderators, they never answer any questions in the discussion, so you better be able to pass completely on your own.
Challenging enough to keep the course interesting, and taught well enough that I feel I can handle every question.
Great course if you have forgtten the basic functions such as log starts here !!!s
Ãœber den Spezialisierung Precalculus through Data and Modelling
This specialization helps to build the foundational material to use mathematics as a tool to model, understand, and interpret the world around us. This is done through studying functions, their properties, and applications to data analysis. Concepts of precalculus provide the set of tools for the learner to begin their scientific career, preparing them for future science and calculus courses.
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