These lecture guides will aid students as they progress through the first semester of College Algebra. They highlight key concepts, allow for note-taking and problem examples to be recorded, and serve to improve student engagement with the material during instruction.
The attached file is a .bok TestGen file which contains the first two chapters of the OpenStax College Algebra Textbook. Using the TestGen software, one can create quizzes, tests and homework assignments compatible with Canvas, Blackboard, Moodle and D2L.
This resource contains a news article, a facilitation guide, and two activity handouts. Students flip coins, gather and analize data, and gain an appreciation for the challenge of generating truly random data. Then the students are guided through forming a statistical hypothesis, gathering and analyzing evidence, and interpreting their analysis using p-values. The lesson ends with a discussion of Benford’s Law. This activity aligns with MATH 1342 Learning Outcome 8: Perform hypothesis testing using statistical methods.
These are videos that cover Polynomial and Rational Functions. The students are meant to download the notes, watch the videos, and fill out the notes as they watch the videos. These notes can be used in a College Algebra course.
This video dives deeper into the concept of Expected Value and demonstrates how it can be applied to a few practice problems.
This video is additional practice problems on the applications of Expected Value and how to solve word problems.
Prealgebra is designed to meet scope and sequence requirements for a one-semester prealgebra course. The book’s organization makes it easy to adapt to a variety of course syllabi. The text introduces 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.
This 15-minute video lesson gives an example involving the preimage of a set under a transformation. It also gives a definition of kernel of a transformation.
Proof: Any subspace basis has same number of elements. Created by Sal Khan.
This resource contains a news article and a facilitation guide. Students practice data analysis and review the point-slope form of a line. This activity aligns with MATH 1342 Learning Outcome 2: Recognize, examine and interpret the basic principles of describing and presenting data
This is an example of a redesigned course that uses the OpenStax PreCaculus Textbook. Emphasis is placed on the structure of course (which is not conics centric) and how homework is implemented. To avoid the financial responsiblity of the student or higher education institution purchasing publisher online homework services like Pearson's MyMathLab, ConnectMath or Aleks; students are assigned exercises from the textbook that have answers available. The strategy is to give access to the answers of the problems so that the students have to prove how the answer was obtained. This allows the students some immediate feedback if their written process does not obtain the solution given in the back of the textbook.This allows the student to recognize that a process, operation or strategy was carried out incorrectly which can be used to draw attention that a question needs to be raised during the next lecture or additional assistance may be required on their journey to mastery of the content.
In this undergraduate level seminar series topics vary from year to year. Students present and discuss the subject matter, and are provided with instruction and practice in written and oral communication. Some experience with proofs required. The topic for fall 2008: Computational algebra and algebraic geometry.
Seminar for mathematics majors. Students present and discuss the subject matter and write up exercises. Topic for Fall 2002: Classical geometry, beginning with Euclid's Elements and continuing to applications of Galois theory that solve the geometry problems of antiquity. No prior knowledge of Galois theory required. Instruction and practice in oral communication provided.
Build coin expressions, then exchange them for variable expressions. Simplify and evaluate expressions until you are ready to test your understanding of equivalent expressions in the game!
This resource contains a transcript of lessons, a facilitation guide, and three activity handouts. Guides students’ understanding of inflation using the Consumer Price Index average price data. This activity primarily aligns with MATH 1332 Learning Outcome 3: Solve problems in mathematics of finance. It also algins with MATH 1332 Learning Outcomes 5 & 6.
Sal solves a linear system with 3 variables by representing it with an augmented matrix and bringing the matrix to reduced row-echelon form. Gaussian Elimination is the method, reduced row echelon is just the final result.
Determining whether 3 vectors are linearly independent and/or span R3. Created by Sal Khan.
Introduction to a selection of mathematical topics that are not covered in traditional mechanical engineering curricula, such as differential geometry, integral geometry, discrete computational geometry, graph theory and optimization techniques. Emphasis on basic ideas and on applications in mechanical engineering. Selection will change every year. This course forms an introduction to a selection of mathematical topics that are not covered in traditional mechanical engineering curricula, such as differential geometry, integral geometry, discrete computational geometry, graph theory, optimization techniques, calculus of variations and linear algebra. The topics covered in any particular year depend on the interest of the students and instructor. Emphasis is on basic ideas and on applications in mechanical engineering. This year, the subject focuses on selected topics from linear algebra and the calculus of variations. It is aimed mainly (but not exclusively) at students aiming to study mechanics (solid mechanics, fluid mechanics, energy methods etc.), and the course introduces some of the mathematical tools used in these subjects. Applications are related primarily (but not exclusively) to the microstructures of crystalline solids.
This material covers concepts involving Systems of Equations and Matrices. 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 10-minute video lesson shows that three points uniquely define a circle and that the center of a circle is the circumcenter for any triangle that the circle is circumscribed about.