This 6-minute video lesson concludes the series on undetermined coefficients by putting it all together. [Differential Equations playlist: Lesson 25 of 45]
This 12-minute video lesson shows how to use the convolution Theorem to solve an initial value problem. [Differential Equations playlist: Lesson 45 of 45]
This 19-minute video lesson shows how to solve a non-homogeneous differential equation using the Laplace Transform. [Differential Equations playlist: Lesson 35 of 45]
Dimension of the Column Space or Rank. Created by Sal Khan.
Dimension of the Null Space or Nullity. Created by Sal Khan.
This OER is a list of Discussion Questions for a PreCalculus course using the OpenStax PreCalculus Textbook. There are eight discussion questions included in the Word document which has the equations better formatted.
" Double affine Hecke algebras (DAHA), also called Cherednik algebras, and their representations appear in many contexts: integrable systems (Calogero-Moser and Ruijsenaars models), algebraic geometry (Hilbert schemes), orthogonal polynomials, Lie theory, quantum groups, etc. In this course we will review the basic theory of DAHA and their representations, emphasizing their connections with other subjects and open problems."
Elementary Algebra is designed to meet the scope and sequence requirements of a one-semester elementary algebra course. The book’s organization makes it easy to adapt to a variety of course syllabi. The text expands on the fundamental concepts of algebra while addressing the needs of students with diverse backgrounds and learning styles. Each topic builds upon previously developed material to demonstrate the cohesiveness and structure of mathematics.
Learn about graphing polynomials. The shape of the curve changes as the constants are adjusted. View the curves for the individual terms (e.g. y=bx ) to see how they add to generate the polynomial curve.
Learn about graphing polynomials. The shape of the curve changes as the constants are adjusted. View the curves for the individual terms (e.g. y=bx ) to see how they add to generate the polynomial curve.
This resource contains a news article about using algorithms to stop gerrymandering and a lesson plan to pair with the article.Students make predictions, calculator confidence intervals, and discover the Law of Large Numbers via simulation. This lesson can be closed with a discussion of the Central Limit Theorem. This activity aligns with MATH 1342 Learning Outcome 5: Examine, analyze, and compare various sampling distributions for both discrete and continuous random variables and Learning Outcome 6: Describe and compute confidence intervals.
Overview of the Intermediate Value Theorem, the Extreme Value Theorem and the Mean Value Theorem.
This resource contains a news article and a facilitation guide. Students play the game “Let’s Make a Deal” to explore the underlying probability that guides the optimal strategy for contestants. This activity aligns with MATH 1342 Learning Outcome 4: Explain the role of probability in statistics.
This resource contains a news article, probability table, statistical study skill, and facilitation guide. Students investigate the role of statistics and mathematical modeling in football analysis. This activity aligns with MATH 1342 Learning Outcome 1: Explain the use of data collection and statistics as tools to reach reasonable conclusions.
This material covers concepts involving Exponential and Logarithmic Functions. The student should download the notes, watch the videos, and fill out the notes while watching the videos. These materials should be used in a College Algebra course.
This resource contains activity handouts, a rubric, a facilitation guide, and tex files. The material is meant to be used for those teaching a college algebra course. The activities are meant to provide a deeper understanding (than a traditional course offers) of some of the topics covered in a college algebra course. The activities are intended for group activities and options exist for use in a single class or multiple classes.
This 8-minute video lesson looks at adding and subtracting rational expressions.
This 4-minute video lesson looks at multiplying and dividing rational expressions.
This 5-minute video lesson looks at multiplying and dividing rational expressions.
This 4-minute video lesson looks at multiplying and dividing rational expressions.