Online courses directory (237)

Statistical Reasoning introduces students to the basic concepts and logic of statistical reasoning and gives the students introductory-level practical ability to choose, generate, and properly interpret appropriate descriptive and inferential methods. In addition, the course helps students gain an appreciation for the diverse applications of statistics and its relevance to their lives and fields of study. The course does not assume any prior knowledge in statistics and its only prerequisite is basic algebra. We offer two versions of statistics, each with a different emphasis: Probability and Statistics and Statistical Reasoning. Each course includes all expository text, simulations, case studies, comprehension tests, interactive learning exercises, and the StatTutor labs. Each course contains all of the instructions for the four statistics packages options we support. To do the activities, you will need your own copy of Microsoft Excel, Minitab, the open source R software, TI calculator, or StatCrunch. One of the main differences between the courses is the path through probability; Statistical Reasoning places less emphasis on probability than does the Probability and Statistics course and takes an empirical approach.

Introduction to statistics. Will eventually cover all of the major topics in a first-year statistics course.

We live in a time of unprecedented access to information. You'll learn how to use statistics to interpret that information and make decisions. San Jose State University

Introduction to statistics. We start with the basics of reading and interpretting data and then build into descriptive and inferential statistics that are typically covered in an introductory course on the subject. Overview of Khan Academy statistics. Statistics intro: mean, median and mode. Constructing a box-and-whisker plot. Sample mean versus population mean.. Variance of a population. Sample variance. Review and intuition why we divide by n-1 for the unbiased sample variance. Simulation showing bias in sample variance. Simulation providing evidence that (n-1) gives us unbiased estimate. Statistics: Standard Deviation. Statistics: Alternate Variance Formulas. Introduction to Random Variables. Probability Density Functions. Binomial Distribution 1. Binomial Distribution 2. Binomial Distribution 3. Binomial Distribution 4. Expected Value: E(X). Expected Value of Binomial Distribution. Poisson Process 1. Poisson Process 2. Introduction to the Normal Distribution. Normal Distribution Excel Exercise. Law of Large Numbers. ck12.org Normal Distribution Problems: Qualitative sense of normal distributions. ck12.org Normal Distribution Problems: Empirical Rule. ck12.org Normal Distribution Problems: z-score. ck12.org Exercise: Standard Normal Distribution and the Empirical Rule. ck12.org: More Empirical Rule and Z-score practice. Central Limit Theorem. Sampling Distribution of the Sample Mean. Sampling Distribution of the Sample Mean 2. Standard Error of the Mean. Sampling Distribution Example Problem. Confidence Interval 1. Confidence Interval Example. Mean and Variance of Bernoulli Distribution Example. Bernoulli Distribution Mean and Variance Formulas. Margin of Error 1. Margin of Error 2. Small Sample Size Confidence Intervals. Hypothesis Testing and P-values. One-Tailed and Two-Tailed Tests. Z-statistics vs. T-statistics. Type 1 Errors. Small Sample Hypothesis Test. T-Statistic Confidence Interval. Large Sample Proportion Hypothesis Testing. Variance of Differences of Random Variables. Difference of Sample Means Distribution. Confidence Interval of Difference of Means. Clarification of Confidence Interval of Difference of Means. Hypothesis Test for Difference of Means. Comparing Population Proportions 1. Comparing Population Proportions 2. Hypothesis Test Comparing Population Proportions. Squared Error of Regression Line. Proof (Part 1) Minimizing Squared Error to Regression Line. Proof Part 2 Minimizing Squared Error to Line. Proof (Part 3) Minimizing Squared Error to Regression Line. Proof (Part 4) Minimizing Squared Error to Regression Line. Regression Line Example. Second Regression Example. R-Squared or Coefficient of Determination. Calculating R-Squared. Covariance and the Regression Line. Correlation and Causality. Chi-Square Distribution Introduction. Pearson's Chi Square Test (Goodness of Fit). Contingency Table Chi-Square Test. ANOVA 1 - Calculating SST (Total Sum of Squares). ANOVA 2 - Calculating SSW and SSB (Total Sum of Squares Within and Between).avi. ANOVA 3 -Hypothesis Test with F-Statistic. Another simulation giving evidence that (n-1) gives us an unbiased estimate of variance. Mean Median and Mode. Range and Mid-range. Reading Pictographs. Reading Bar Graphs. Reading Line Graphs. Reading Pie Graphs (Circle Graphs). Misleading Line Graphs. Stem-and-leaf Plots. Box-and-Whisker Plots. Reading Box-and-Whisker Plots. Statistics: The Average. Statistics: Variance of a Population. Statistics: Sample Variance. Deductive Reasoning 1. Deductive Reasoning 2. Deductive Reasoning 3. Inductive Reasoning 1. Inductive Reasoning 2. Inductive Reasoning 3. Inductive Patterns.

This free online course is the first of our Upper-Secondary Mathematics suite of courses. It covers mathematical analysis, including univariate statistics and data, bivariate statistics, correlation, regression, residual analysis, non-linear data, and seasonal movements. This course is suitable for students of maths, especially those preparing for examinations. It is also suitable for those looking to refresh their knowledge of Mathematics. <br />

Videos on trigonometry. Watch the "Geometry" playlist first if you have trouble understanding the topics covered here. Basic Trigonometry. Basic Trigonometry II. Radians and degrees. Using Trig Functions. Using Trig Functions Part II. The unit circle definition of trigonometric function. Unit Circle Definition of Trig Functions. Graph of the sine function. Graphs of trig functions. Graphing trig functions. More trig graphs. Determining the equation of a trigonometric function. Trigonometric Identities. Proof: sin(a+b) = (cos a)(sin b) + (sin a)(cos b). Proof: cos(a+b) = (cos a)(cos b)-(sin a)(sin b). Trig identities part 2 (parr 4 if you watch the proofs). Trig identies part 3 (part 5 if you watch the proofs). Trigonometry word problems (part 1). Trigonometry word problems (part 2). Law of cosines. Navigation Word Problem. Proof: Law of Sines. Ferris Wheel Trig Problem. Ferris Wheel Trig Problem (part 2). Fun Trig Problem. Polar Coordinates 1. Polar Coordinates 2. Polar Coordinates 3. Inverse Trig Functions: Arcsin. Inverse Trig Functions: Arctan. Inverse Trig Functions: Arccos. Trigonometry Identity Review/Fun. Tau versus Pi. IIT JEE Trigonometry Problem 1. IIT JEE Trigonometric Maximum. IIT JEE Trigonometric Constraints. Trigonometric System Example. 2003 AIME II Problem 11.avi. 2003 AIME II Problem 14.

Recreational mathematics and inspirational videos by resident mathemusician Vi Hart. Doodling in Math: Spirals, Fibonacci, and Being a Plant [1 of 3]. Doodling in Math Class: Spirals, Fibonacci, and Being a Plant [2 of 3]. Doodling in Math: Spirals, Fibonacci, and Being a Plant [Part 3 of 3]. Doodling in Math Class: Binary Trees. Doodling in Math Class: Stars. Doodling in Math Class: Snakes + Graphs. Doodling in Math Class: Infinity Elephants. Doodling in Math: Sick Number Games. Doodling in Math Class: Squiggle Inception. Doodling in Math Class: Triangle Party. Mobius Story: Wind and Mr. Ug. Math Improv: Fruit by the Foot. Wau: The Most Amazing, Ancient, and Singular Number. Are Shakespeare's Plays Encoded within Pi?. What is up with Noises? (The Science and Mathematics of Sound, Frequency, and Pitch). Open Letter to Nickelodeon, Re: SpongeBob's Pineapple under the Sea. How To Snakes. Origami Proof of the Pythagorean Theorem. 9.999... reasons that .999... = 1. Pi Is (still) Wrong.. Fractal Fractions. Angle-a-trons. Binary Hand Dance. Re: Visual Multiplication and 48/2(9+3). The Gauss Christmath Special. Rhapsody on the Proof of Pi = 4. Doodle Music. What was up with Pythagoras?. A Song About A Circle Constant. Dialogue for 2. Doodling in Math Class: Connecting Dots. Hexaflexagons. Hexaflexagons 2. Hexaflexagon Safety Guide. Flex Mex. Optimal Potatoes. Green Bean Matherole. Borromean Onion Rings. Thanksgiving Turduckenen-duckenen. Snowflakes, Starflakes, and Swirlflakes. Doodling in Math: Spirals, Fibonacci, and Being a Plant [1 of 3]. Doodling in Math Class: Spirals, Fibonacci, and Being a Plant [2 of 3]. Doodling in Math: Spirals, Fibonacci, and Being a Plant [Part 3 of 3]. Doodling in Math Class: Binary Trees. Doodling in Math Class: Stars. Doodling in Math Class: Snakes + Graphs. Doodling in Math Class: Infinity Elephants. Doodling in Math: Sick Number Games. Doodling in Math Class: Squiggle Inception. Doodling in Math Class: Triangle Party. Mobius Story: Wind and Mr. Ug. Math Improv: Fruit by the Foot. Wau: The Most Amazing, Ancient, and Singular Number. Are Shakespeare's Plays Encoded within Pi?. What is up with Noises? (The Science and Mathematics of Sound, Frequency, and Pitch). Open Letter to Nickelodeon, Re: SpongeBob's Pineapple under the Sea. How To Snakes. Origami Proof of the Pythagorean Theorem. 9.999... reasons that .999... = 1. Pi Is (still) Wrong.. Fractal Fractions. Angle-a-trons. Binary Hand Dance. Re: Visual Multiplication and 48/2(9+3). The Gauss Christmath Special. Rhapsody on the Proof of Pi = 4. Doodle Music. What was up with Pythagoras?. A Song About A Circle Constant. Dialogue for 2. Doodling in Math Class: Connecting Dots. Hexaflexagons. Hexaflexagons 2. Hexaflexagon Safety Guide. Flex Mex. Optimal Potatoes. Green Bean Matherole. Borromean Onion Rings. Thanksgiving Turduckenen-duckenen. Snowflakes, Starflakes, and Swirlflakes.

Throughout this course, we will use algebra to quantify and describe the world around us. Have you ever wondered how many songs can fit onto your flash drive? By the end of the course, you’ll have stronger skills for modeling problems, analyzing patterns, and using algebra to arrive at conclusions.