This site teaches Trigonometric Functions to High Schoolers through a series of 915 questions and interactive activities aligned to 15 Common Core mathematics skills.
This resource contains a facilitation guide. Students practice data analysis and review the point-slope form of a line. This activity primarily aligns with MATH 1332 Learning Outcome 5: Interpret and analyze various representations of data.
This course is intended to assist undergraduates with learning the basics of programming in general and programming MATLAB in particular.
This is a fast-paced introductory course to the C++ programming language. It is intended for those with little programming background, though prior programming experience will make it easier, and those with previous experience will still learn C++-specific constructs and concepts. This course is offered during the Independent Activities Period (IAP), which is a special 4-week term at MIT that runs from the first week of January until the end of the month.
" This is a undergraduate course. It will cover normed spaces, completeness, functionals, Hahn-Banach theorem, duality, operators; Lebesgue measure, measurable functions, integrability, completeness of L-p spaces; Hilbert space; compact, Hilbert-Schmidt and trace class operators; as well as spectral theorem."
This is a text for a two-term course in introductory real analysis for junior or senior mathematics majors and science students with a serious interest in mathematics. Prospective educators or mathematically gifted high school students can also benefit from the mathematical maturity that can be gained from an introductory real analysis course.
The book is designed to fill the gaps left in the development of calculus as it is usually presented in an elementary course, and to provide the background required for insight into more advanced courses in pure and applied mathematics. The standard elementary calculus sequence is the only specific prerequisite for Chapters 1–5, which deal with real-valued functions. (However, other analysis oriented courses, such as elementary differential equation, also provide useful preparatory experience.) Chapters 6 and 7 require a working knowledge of determinants, matrices and linear transformations, typically available from a first course in linear algebra. Chapter 8 is accessible after completion of Chapters 1–5.
First of two-term sequence on modeling, analysis and control of dynamic systems. Mechanical translation, uniaxial rotation, electrical circuits and their coupling via levers, gears and electro-mechanical devices. Analytical and computational solution of linear differential equations and state-determined systems. Laplace transforms, transfer functions. Frequency response, Bode plots. Vibrations, modal analysis. Open- and closed-loop control, instability. Time-domain controller design, introduction to frequency-domain control design techniques. Case studies of engineering applications.
The Open Resource site is intended to facilitate discovery and use of open resources starting with Open Educational Resources (OER). The Open Resource site will continue to develop and change depending on the needs of the community, and are outlined in the future developments section. Essentially it is a place to search for all the places to search for OER.
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.
This course will cover families of functions, their properties, graphs and applications. These functions include: polynomial, rational, exponential, logarithmic functions and combinations of these. We will solve related equations and inequalities and conduct data analysis, introductory mathematical modeling and develop competency with a graphing calculator.Login: guest_oclPassword: ocl
This is a focused collection of notes for a course in precalculus math taught at San Jacinto College (Houston, Texas). In less than 260 pages, the course offers a compact delivery of the core concepts that students ought to understand prior to taking calculus. In addition to learning algebraic and computational skills, the course is designed for learning how to think mathematically. The chapters on mathematical language and problem-solving highlight this latter objective.
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.
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.
This is a text that covers the standard topics in a sophomore-level course in discrete mathematics: logic, sets, proof techniques, basic number theory, functions, relations, and elementary combinatorics, with an emphasis on motivation. It explains and clarifies the unwritten conventions in mathematics, and guides the students through a detailed discussion on how a proof is revised from its draft to a final polished form. Hands-on exercises help students understand a concept soon after learning it. The text adopts a spiral approach: many topics are revisited multiple times, sometimes from a different perspective or at a higher level of complexity. The goal is to slowly develop students’ problem-solving and writing skills.
This is a list of video lectures that can be used in conjunction with OpenStax's PreCalculus Textbook that gives faculty and students addtional resources to utilize throughout the semester of a PreCalculus course. MATH 2412 and MATH 1313 PreCalculus courses among others may benefit from this resource.