Get a detailed introduction to functions, graphs, limits, continuity, and derivatives, and explore the relationship between derivatives and graphs.
Learn how to use algebra for a variety of everyday tasks like calculating the change you will get back after a purchase, analyzing relationships by graphing, and describing real-world situations in business, accounting, and science.
Study the relationships between lines and angles, learn to calculate how much space an object covers, determine how much space is inside of a three-dimensional object, and explore other relationships between shapes, objects, and the mathematics that govern them.
Explore intermediate-level algebraic operations and learn how algebraic methods are used in real-world applications.
Examine the properties behind the concepts of probability and statistics by learning how to investigate the relationships between various characteristics of data.
If you invest in financial markets, you may want to predict the price of a stock in six months from now based on company performance measures and other economic factors. As a college student, you may be interested in knowing the dependence of the mean starting salary of a college graduate, based on your GPA. These are just some examples that highlight how statistics are used in our modern society. To figure out the desired information for each example, you need data to analyze.
The purpose of this course is to introduce you to the subject of statistics as a science of data. Data abounds in this information age; extracting useful knowledge and gaining a sound understanding of complex data sets has been more of a challenge. In this course, we will focus on the fundamentals of statistics, broadly described as the techniques to collect, clarify, summarize, organize, analyze, and interpret numerical information.
This course will begin with a brief overview of the discipline of statistics and will then quickly focus on descriptive statistics, introducing graphical methods of describing data. You will learn about combinatorial probability and random distributions, which are the foundation for statistical inference. With inference, we will focus on estimation and hypothesis testing issues. We will also examine the techniques to study the relationship between two or more variables, known as regression.
By the end of this course, you should understand what statistics represent, how to use statistics to organize and display data, and how to draw valid inferences based on data by using appropriate statistical tools.
The purpose of this course is to introduce you to the subject of statistics as a science of data. Data abounds in this information age; how to extract useful knowledge and gain a sound understanding of complex data sets has been more of a challenge. In this course, we will focus on the fundamentals of statistics, which may be broadly described as the techniques to collect, clarify, summarize, organize, analyze, and interpret numerical information.
This course will begin with a brief overview of the discipline of statistics and will then quickly focus on descriptive statistics, introducing graphical methods of describing data. You will learn about combinatorial probability and random distributions, the latter of which serves as the foundation for statistical inference. On the side of inference, we will focus on both estimation and hypothesis testing issues. We will also examine the techniques to study the relationship between two or more variables; this is known as regression.
By the end of this course, you should gain a sound understanding of what statistics represent, how to use statistics to organize and display data, and how to draw valid inferences based on data by using appropriate statistical tools.
- Unit 1: Statistics and Data
- Unit 2: Elements of Probability and Random Variables
- Unit 3: Sampling Distributions
- Unit 4: Estimation with Confidence Intervals
- Unit 5: Hypothesis Test
- Unit 6: Linear Regression
- Describe the meaning and importance of descriptive and inferential statistics;
- Distinguish between a population and a sample;
- Calculate measures of location, variability, and skewness;
- Apply simple principles of probability;
- Compute probabilities related to both discrete and continuous random variables;
- Analyze sampling distributions for statistical inferences;
- Analyze confidence intervals for means and proportions;
- Analyze data sets using descriptive statistics, parameter estimation, and hypothesis testing;
- Explain how the central limit theorem applies in inference;
- Interpret the results of hypothesis tests;
- Analyze the relationships between two variables using simple linear regression; and
- Use regression equations to make predictions.
Discover the fundamentals of math using scenarios you will come across every day that involve number properties, order of operations, fractions, fractions in other forms (decimals, ratios, proportions, and percents), and graphs.
