Math 211

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Math 211

Geometric congruence, similarity, area, surface area, volume, introductory trigonometry; emphasis on logical reasoning skills and the solution of applied problems. This course may not be used to satisfy the basic minimum requirements for graduation in any baccalaureate degree program. Natural numbers; integers; rational numbers; decimals; ratio, proportion; percent; graphs; applications.

Students who have passed MATH may not schedule this course for credit. Enforced Prerequisite at Enrollment: Satisfactory performance on the mathematics placement examination. Algebraic expressions; linear, absolute value equations and inequalities; lines; systems of linear equations; integral exponents; polynomials; factoring.

Quadratic equations; equations in quadratic form; word problems; graphing; algebraic fractions; negative and rational exponents; radicals. Relations, functions, graphs; polynomial, rational functions, graphs; word problems; nonlinear inequalities; inverse functions; exponential, logarithmic functions; conic sections; simultaneous equations.

Concepts in problem solving; reducing new problems to old ones; techniques for attacking problems; building mathematical models. Mathematical analysis of sustainability: measurement, flows, networks, rates of change, uncertainty and risk, applying analysis in decision making; using quantitative evidence to support arguments; examples. MATH Mathematics for Sustainability 3 GQ This course is one of several offered by the mathematics department with the goal of helping students from non-technical majors partially satisfy their general education quantification requirement.

It is designed to provide an introduction to various mathematical modeling techniques, with an emphasis on examples related to environmental and economic sustainability. The course may be used to fulfill three credits of the GQ requirement for some majors, but it does not serve as a prerequisite for any mathematics courses and should be treated as a terminal course. The course provides students with the mathematical background and quantitative reasoning skills necessary to engage as informed citizens in discussions of sustainability related to climate change, resources, pollution, recycling, economic change, and similar matters of public interest.

Students apply these skills through writing projects that require quantitative evidence to support an argument.

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The mathematical content of the course spans six key areas: "measuring" representing information by numbers, problems of measurement, units, estimation skills ; "flowing" building and analyzing stock-flow models, calculations using units of energy and power, dynamic equilibria in stock-flow systems, the energy balance of the earth-sun system and the greenhouse effect ; "connecting" networks, the bystander effect, feedbacks in stock-flow models ; "changing" out-of-equilibrium stock-flow systems, exponential models, stability of equilibria in stock-flow systems, sensitivity of equilibria to changes in a parameter, tipping points in stock-flow models ; "risking" probability, expectation, bayesian inference, risk vs uncertainty; "deciding" discounting, uses and limitations of cost-benefit analysis, introduction to game theory and the tragedy of the commons, market-based mechanisms for pollution abatement, ethical considerations.

This course will provide students with the mathematical background and quantitative skills needed to make sound financial decisions. This course introduces personal finance topics including simple interest, simple discount, compound interest, annuities, investments, retirement plans, inflation, depreciation, taxes, credit cards, mortgages, and car leasing.

Students will learn how to use linear equations, exponential and logarithmic equations, and arithmetic and geometric sequences to solve real world financial problems.

Students will answer questions such as, What is the most they can afford to pay for a car? How much do they need to invest in their k account each month to retire comfortably? What credit card is the best option?

math 211

In a society where consumers are presented with a vast array of financial products and providers, students are enabled to evaluate options and make informed, strategic decisions. This course may be used by students from non-technical majors to satisfy 3 credits of their General Education Quantification GQ requirement.

This course does not serve as a prerequisite for any mathematics courses and should be treated as a terminal course. This course presents a general view of a number of mathematical topics to a non-technical audience, often relating the mathematical topics to a historical context, and providing students with an opportunity to engage with the mathematics at an introductory level.

Although some variation in topics covered may take place among different instructors at different campuses, an example of such a course focuses on a number theory theme throughout the course, beginning with the Greeks' view of integers, the concept of divisors, the calculation of greatest common divisors which originates with Euclidthe significance of the prime numbers, the infinitude of the set of prime numbers also known to the ancient Greekswork on perfect numbers which continues to be a topic of research todayand the work of Pythagoras and his famous Theorem.

The course then transitions to the work of European mathematicians such as Euler and Gauss, including work on sums of two squares which generalizes the Pythagorean Theoremand then considering Euler's phi function, congruences, and applications to cryptography. This course will provide students the mathematical background and quantitative skills in various mathematical applications in such areas which are related to voting, fair divisions which includes apportionment methods, and the understanding and application of basic graph theory such as Euler and Hamilton circuits.

Finite math includes topics of mathematics which deal with finite sets. Sets and formal logic are modern concepts created by mathematicians in the mid 19th and early 20th centuries to provide a foundation for mathematical reasoning. Sets and formal logic have lead to profound mathematical discoveries and have helped to create the field of computer science in the 20th century. Today, sets and formal logic are taught as core concepts upon which all mathematics can be built.

In this course, students learn the elementary mathematics of logic and sets. Logic is the symbolic, algebraic way of representing and analyzing statements and sentences. While students will get just a brief introduction to logic, the mathematics used in logic are found at the heart of computer programming and in designing electrical circuits.No credit. Prerequisite: permission of the department chair.

The purpose of this course is to provide laboratory and tutorial instruction for those seeking remediation or review of high school algebra. Topics include basic properties of real numbers, operations with algebraic expressions, solution of equations and inequalities, exponents and radicals, introduction to functions and graphing. Short course 5 weeks ; 3 lecture hours. Students will examine ways in which Renaissance artists who developed linear perspective in geometry in order to paint scenes realistically infuenced the development of mathematics and geometry.

Topics covered will include the foundations of projective geometry. Pascal's mystic hexagram, Brianchon"s Theorem and duality. A need for higher mathematics will also be introduced and explained. The sequence can be taken in any order.

Students will examine ways in which mathematics is rooted in both natural philosophy and art by examining tiling theory. Course topics include Penrose tilings, symmetries and various other tessellations. Students will examine ways in which mathematics has been visualized artistically and will develop their own way to express a mathematical idea. Topics covered will include fractals, knots, minimal surfaces, non-Euclidean geometry and the fourth dimension. Introduction to Contemporary Mathematics.

Semester course; 3 lecture hours. Prerequisite: satisfactory score on the VCU Mathematics Placement Test within the one-year period immediately preceding the beginning of the course. An exception to this policy is made in the case where the stated alternative prerequisite course has been completed at VCU.

Topics include optimization problems, data handling, growth and symmetry, and mathematics with applications in areas of social choice. Major emphasis is on the process of taking a real-world situation, converting the situation to an abstract modeling problem, solving the problem and applying what is learned to the original situation. Semester course; 4 lecture hours. Prerequisite: one year of high school algebra and satisfactory score on the VCU Mathematics Placement Test within the one-year period immediately preceding the beginning of the course.

Topics include concepts and applications of linear, exponential, logarithmic, power and quadratic functions; graphing; transformations and inverses of functions; algebra and composition of functions. Concepts and applications of algebra and trigonometry.

Topics include graphics, transformations and inverses of functions; linear, exponential, logarithmic, power, polynomial, rational and trigonometric functions. Semester course; credits. May be repeated for credit. A study of selected topics in mathematics.

For a course to meet the general education requirements it must be stated in the Schedule of Classes. See the Schedule of Classes for specific topics to be offered each semester and prerequisites. Calculus with Analytic Geometry I.Back to Math Math Foundations of Elementary Mathematics I. Instructor: Sonya Redmond. Email : sonya-psu comcast.

Webpage: web. After class, Tuesday and Thursday, or by appointment. It is expected that you have purchased the newest edition of the text; however, you may use an older edition provided you have access to the newest versions of the problem sets. This course is designed to help you understand the foundations of elementary mathematics. You will be encouraged to become actively involved in visualizing mathematical concepts, solving problems, and reflecting on your thinking and the thinking of others.

Explorations are meant to stretch and develop your thinking and understanding of the concepts while giving you the opportunity to develop your skills as a problem solver.

We will explore problem solving, whole numbers and their operations, set theory, algebra, and number theory. These topics correspond to chapters in our text. Daily attendance is required for your success in this course. If you miss class, it is your responsibility to find out what you missed and arrange make-ups. Quizzes and exams can be made up after an approved absence, provided arrangements are made prior to your return.

Your grade in this course is based on the following:. The exam is scheduled for Tuesday June 8, pm. Assignments that are due on class dates should be submitted at the start of class; they are considered late if turned in after the first 20 minutes of class. Phones must be silenced during class.

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Texting or talking during class will not be tolerated. Keep in mind that this policy also does not allow using cell phones as a calculator in class we have some in the cupboard that you can use any time though!Welcome to Week 14! The last week as second graders!

math 211

Please make sure to watch the videos for each lesson! Monday, June 22nd. We are starting a new unit this week on Shapes and their attributes. Please make sure to watch the videos each day!

math 211

You may use these tools whenever you choose. Monday, June 15th. Tuesday, June 16th.

Final Exam: THURS, Dec, 15, 9:00-Noon

Wednesday, June 17th. Thursday, June 18th. Friday, June 19th. Welcome to Week 12! We are starting a new unit this week on Graphs and Data.

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Monday, June 8th. Tuesday, June 9th. Wednesday, June 10th. Thursday, June 11th. Friday, June 12th. Monday, June 1st. Tuesday, June 2nd. Welcome to Week Ten! Tuesday, May 26th. Wednesday, May 27th.

MTH 211 Calculus II

Thursday, May 28th. Welcome to Week Nine! You may use this tool whenever you choose. Monday, May 18th. Tuesday, May 19th.An elementary treatment of topics from differential and integral calculus, with applications in social science and business. Students may receive credit for both MATH and MATHbut only one of them will count toward the minimum number of hours required for graduation. Not used in major or minor GPA calculation for mathematical sciences majors or minors.

The final examination locations will be announced during the last week of classes. Of particular interest is: the concept of continuity, the use of derivatives to extract geometric information, applications to optimization, the rigorous development of the natural logarithm and its inverse the exponential function, applications involving exponential growth and decay, anti-derivatives and definite integrals, applications involving area calculations, methods of integration and the determination of averages.

Homework will be done through WebAssign. Makeup tests will be allowed only if the student has made arrangements with their instructor before the scheduled time of the test or if it is a documented emergency. Your instructor will provide more specific information about grading policies in your section!

Your home work is assigned on WebAssign. Knowing how to solve problems like these should guarantee success in the course. For some students, working all the problems on the list will be sufficient to master the skills involved. Other students will need more repetition and variety to attain competence. These students may choose to consider problems listed in the supplementary problems above.

Students with a spotty algebra background can expect to spend considerably more. We link to WebAssign thru BlackBoard - it should be an easy task. If you are repeating the course, let your instructor know - there are occaisionally difficulties with repeats. If you are taking the course a third time, you may have to buy a new WebAssign code.

The center is conveniently located in DuSableand is staffed by teaching assistants each weekday from approximately a. The schedule is generally set by the second week in the semester. You are responsible for knowing the specifics of required conduct found in Math Rules of Conduct.

Failure to abide by these rules of conduct may result in penalties ranging from lowered grades to debarment from the classroom to suspension from the university, depending upon the nature and degree of the misconduct.Instruction and practice in quantitative reasoning.

Topics include advanced place value reasoning, efficient estimation and mental computation, units of measure, advanced proportional reasoning, communicating quantitative information verbally and visually, mathematical technology. Activities may include computer-aided instruction. Placement determined by campus placement standards and consultation with an advisor. Recommended for students in General Education QR courses, statistics courses, or other quantitative methods courses in other disciplines.

Fundamentals of mathematics with applications to issues of personal and civic life. Personal finance, and topics such as voting and social choice, data science, chance.

Use of spreadsheets and other technologies for visualization, experimentation, and problem solving. Placement determined by campus placement standards and advising. Formerly offered as Math A. Formerly offered as Math B. Quarter Prerequisite: passing score on the Entry Level Mathematics examination, or passage of MATH 90 Introductory statistics with applications to a variety of disciplines.

Critical thinking about real data, methods of analysis, and implications. Topics: collection, organization and representation of data, including sampling and experimental design; inferences, predictions, and arguments based on data, including correlation, confidence intervals, and hypothesis testing; and basic notions of chance and probability. Use of technology for displaying and analyzing data.

Formerly offered as MATHstudents may not receive credit for both. Satisfies GE Category B4. Introductory statistics with applications to a variety of disciplines. Quarter Prerequisite: passing score on the Entry Level Mathematics examination or passage of MATH 90 Algebraic and geometric concepts of functions of one variable, including linear, exponential, logarithmic, and power functions. Applications to business, government, science, and other fields.

Previously offered as MATHstudents may not receive credit for both. Algebraic and geometric concepts of functions of one variable, including linear, exponential, logarithmic, and power functions.

Algebraic and geometric concepts and skills needed for calculus. The algebra of functions, including linear, exponential, logarithmic, trigonometric, polynomial, and rational functions.

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Use of mathematical technologies for visualization, experimentation, and problem solving. The algebra of expressions, equations and functions, including linear, exponential, logarithmic, and polynomial functions. Directed self-placement in this course is based on campus placement standards, mathematics department assessments and consultation with an advisor.

Satisfies the General Education B4 category. The algebra of functions, including linear, trigonometric functions, rational functions and their limits. Analysis of formal and informal arguments from a wide range of contextual examples. Comparison of logic in natural and mathematical language. Inductive and deductive reasoning. Formerly offered as MATHstudents may not receive credit for both courses. Satisfies GE Category A3. Quarter Prerequisite: satisfactory score on the Entry Level Mathematics examination, or passage of MATH Survey of differential and integral calculus with emphasis on conceptual understanding and modeling the world around us.

Satisfies the GE Category B4. Quarter Prerequisite: Satisfactory score on the Entry Level Mathematics examination or passage of MATH Differentiation and integration of functions in one variable with an emphasis on conceptual understanding, problem solving, multidisciplinary applications, and use of technology for numerical methods and graphical representation.

Topics will include limits, continuity, derivatives, definite and indefinite integrals, and basic techniques of integration.This guide is actually a stockpile of all of our best and most helpful ACT English articles. From individual grammar guides to expert strategies, we give you everything you need to know to ace ACT Englishin one convenient resource.

Math 211 - 4.4 (part 2 of 2) Optimization

The Complete Guide to ACT Grammar RulesACT English is all about grammar. Check out this article to see all major grammar topics tested on the ACT, from ambiguous references to verbal phrases, in addition to key rhetorical skills, such as redundancy, formality, and conciseness. The Best Way to Approach ACT English PassagesTo do well on ACT English, you need to have a good passage-reading strategy.

This guide goes over what this strategy is and how you can use it on test day to get a high ACT English score. How to Get 36 on ACT English: 9 Strategies From a Perfect ScorerThis guide contains expert advice, all from a perfect scorer, and teaches you how to get a 36 on ACT English.

Key points covered here include how many questions you must get right to get a 36 on English, how to study grammar effectively, and how to identify patterns in your mistakes. The 31 Critical ACT Math Formulas You MUST KnowMath formulas are critical to doing well on ACT Math. This guide covers 31 major math formulas likely to pop up on the ACT. The Ultimate ACT Math Prep Guide: Strategies, Topics, and TipsThis guide collects all of our best ACT Math articles in one place for you.

From strategies to content to expert tips, we cover everything you need to know to get the Math score you want. Plugging In Answers: A Critical ACT Math StrategyPlugging In Numbers: A Critical ACT Math StrategyOf all math strategies you can use on the ACT, these two are by far the most important. These guides offer essential tips on how to use your time wisely on the Math section so that you're never spending too much or too little time on a question. How to Get 36 on ACT Math: 8 Strategies by a Perfect ScorerAiming for a perfect ACT Math score.

Then you'll definitely want to check out this guide.

Mathematics

Here, our resident ACT full scorer offers several foolproof tips on studying math and making the most of your prep. The Ultimate Prep Guide to ACT Reading: Strategies, Tips, and PracticeThis ultimate guide is essentially a gigantic stockpile of all of our best ACT Reading resources. The Best Way to Approach the ACT Reading PassageWondering how to read ACT Reading passagesor whether you should even read them at all. This guide goes over the three best ways to approach Reading passages and offers tips on how to answer the questions that accompany them.

How to Answer ACT Reading Questions: 5-Step GuideNeed help getting questions right on ACT Reading. In this resource, we explain how to break down Reading questions and eliminate incorrect answer choices. We also go over the common ways ACT Reading likes to trick test takers. How to Stop Running Out of Time on ACT ReadingTime management can be difficult on ACT Reading, which only gives you about 53 seconds per question. Our guide explains how to monitor your time and practice effectively so that you're getting more questions right before time runs out.

We summarize what it takes to get a 26 on Reading, explain how ACT Reading likes to trick test takers, and give you eight strategies to help you get a higher score. How to Get 36 on ACT Reading: 11 Strategies From a Perfect ScorerAiming for perfection. Then check out our guide to getting a 36 on ACT Reading, written by an actual full scorer. With this resource, we teach you how to identify and target your weaknesses as well as how to find the best passage-reading strategy for you. The truth is that, despite its name, ACT Science is way more about reading than it is about actual science.

The Ultimate Study Guide for ACT Science: Tips, Practice, and StrategiesFor a robust resource of all of our best ACT Science articles, check out our ultimate ACT Science study guide. We give you links to a variety of articles and guides focusing on the format of ACT Science, what it tests, and how you can prepare effectively for it. This guide summarizes the five possible strategies you can use and shows you how to find the perfect fit for you.

So what science do you actually need to know for it. We teach you what order to read the passages in, the maximum amount of time you should spend on a question, and how to keep your energy level up on test day. Don't worry because there are plenty of ways to raise it. How to Get 36 on ACT Science: 13 Strategies From a Perfect ScorerAiming higher than a 26.


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