Calculus is the study of motion and change and can be very frustrating and overwhelming for many students. The limit of (x2−1) (x−1) as x approaches 1 is 2. The Calculus of Basketball. The graph of a rational function. Average rates of change. Roanoke Valley Governor's School. However, with a few of the recommended resources listed here, you will find that calculus doesn't have to be difficult to learn. Laws of Limits 5. Quadratic Equations. Free Powerpoints for PK-12 Math. 2 • Section 3. Differential Calculus Recall that the slope is defined as the change in Y divided by the change in X Consider the straight line below: Y 20 6 5 12 X Let's consider a line drawn between two points on a curve. Calculus Graphing Projects. Precalculus Website: 7. Precalculus. 6 Solve proportions. Pearson offers special pricing when you package your text with other student resources. Erdman E-mail address: [email protected] I've tried to make these notes as self contained as possible and so all the information needed to read through them is either from an Algebra or Trig class or contained in other sections of the notes. Korsunsky's Pre-Calculus lectures. By studying these, you can learn how to control a system to make it do what you want it to do. How to sketch the graphs of polynomials. Precalculus: An Investigation of Functions is a free, open textbook covering a two-quarter pre-calculus sequence including trigonometry. 032 KB (Last Modified on August 23, 2017) Alg 3. Calculus Volumes 1, 2, and 3 are licensed under an Attribution-NonCommercial-Sharealike 4. Calculus, Pre-Calculus. Calculus is a branch of mathematics containing limits, derivatives, integrals and functions. pdf), Text File (. 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The CLEP®, College Board. This lesson contains the following Essential Knowledge (EK) concepts for the *AP Calculus course. Visit Mathway on the web. A series has the following form. txt) or view presentation slides online. Roger Day ([email protected] What is synthetic division? What is the binomial theorem? What is mathematical induction? What is a rational number?. Rational functions. Differential Calculus. Many powerpoint presentations and the Study Guide and Practice worksheets are on my website. Calculus, Multivariable Calculus By Stewart, Eighth Edition Calculus Vol. Please visit AP Central. Very compatible with her Calculus material, so the curriculum flows well. A Circle Is The Set Of Points In PPT Presentation Summary : Equations of circles. Main Index Educational Games Safety Games Toy Games. com, find free presentations research about Precalculus PPT. 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It has all the essential information like classroom procedures and policies, but also contains some fun things like parent function exercises and fun math facts. On a daily basis, students work collaboratively with others as they use problem-solving strategies. 6 Interactive_Classroom_Nonlinear_Inequalities. This study guide provides practice questions for all 34 CLEP exams. 2 Polar Graphing Comments (-1) Polar Coordinates sec 8. For the following topics on limits, I included my presentation for topics such as evaluating limits at infinity, solving limits, approximating. This engaging group of activities is designed for Trigonometry and PreCalculus. Calculus is a branch of mathematics containing limits, derivatives, integrals and functions. Precalculus Unit F04 – ArcFunctions; Precalculus Unit F05 – Trigonometric Identities; Precalculus Unit F06 – More Trig Identities; Precalculus Unit F07 – Trigonometry of Oblique Triangles; Precalculus Unit S01 – Vectors; Precalculus Unit S02 – Complex Numbers; Precalculus Unit S03 – Conic Sections; Precalculus Unit S04 – Probability. 1 Example #3 Write Parabola in Standard Form and Example #4 Write a function in standard form given information as PowerPoint OR Lesson Video (13 minutes) 2. Multiple-choice & free-response. b a f xdx Fb Fa, where F(x) is any antiderivative of f(x). Calculus is used in mechanical, physics etc. d3bxy9euw4e147. docx PC CH Cal 1 HW. For further developments: see list of real analysis topics, list of complex analysis topics, list of multivariable calculus topics. Free math problem solver answers your precalculus homework questions with step-by-step explanations. Math-talk for "curvy" Odd and even functions. 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Fundamental Theorem of Calculus: x a d F xftdtfx dx where f t is a continuous function on [a, x]. If p = 1, the graph is the straight line y = x. The notes were written by Sigurd Angenent, starting from an extensive collection of notes and problems compiled by Joel Robbin. Precalculus Real Math Real People / AGA Select Book Algebra and Trigonometry 10e Algebra and Trigonometry 9e College Algebra 10e College Algebra 9e Precalculus 10e Precalculus 9e Precalculus A Concise Course 3e Precalculus with Limits 4e Precalculus with Limits 4e High School Precalculus with Limits 3e Precalculus with Limits Texas 3e. What is an asymptote? How to solve a quadratic equation by completing the square. 2 Polar Graphing Comments (-1) Polar Coordinates sec 8. The textbook for this course is Stewart: Calculus, Concepts and Contexts (2th ed. MCV4U Calculus and Vectors. Precalculus is a refresher course that many students take before they start calculus. Codes, Ciphers. If p > 0, then the graph starts at the origin and continues to rise to infinity. Calculus I or needing a refresher in some of the early topics in calculus. 1_WalkthroughApp. 2 • Section 3. So it is a special way of saying, "ignoring what happens when we get there, but as we get closer and closer the answer gets closer and closer to 2" As a graph it looks like this: So, in truth, we cannot say what the value at x=1 is. The ideal resource for taking more than one exam. Antiderivatives, Differential Equations, and Slope Fields. The artist was not thinking of calculus when he composed the image, but rather, of a visual haiku consisting of a few elements that would spark the viewer's imagination. The graph of a rational function. Precalculus, Lecture 10, Part 4, The Difference Quotient. You will find addition lessons, worksheets, homework, and quizzes in each section. Stop searching. ppt), PDF File (. Calculus was developed independently by the Englishman, Sir Isaac Newton, and by the German, Gottfried Leibniz. The course is designed similarly to the CPM Core Connections courses. The download includes a Title slide that's complementary to the remaining slides in the template. Fall 2019 Dept. AP ® Calculus AB and BC. Pass (with a grade of C or higher) a Precalculus course at a college or university; or. 0 (fall 2009) This is a self contained set of lecture notes for Math 221. f outside parenthesis is the. Presentation Summary : End of Section 6. They were both working on problems of motion towards the end of the 17th century. Learn for free about math, art, computer programming, economics, physics, chemistry, biology, medicine, finance, history, and more. (a) When is the object at rest? (b) Evaluate 6 1 ∫ vt dt(). Visit my website: http://bit. Third Edition Precalculus meets all of the standards for a Common Core 4th Year high school math course, and includes an introduction to calculus with functions, graphs, limits, area under a curve, and rates of change. This obviously means no more discs (and, importantly, no more need for. A series has the following form. indd 12712 Precalc SE Tpg. Offered only by the College Board. With calculus, we have the ability to find the effects of changing conditions on a system. Fast and easy to use. Simplifying Radicals and Roots. The course emphasises the key ideas and historical motivation for calculus, while at the same time striking a balance between theory and application, leading to a mastery of key. If you are in need of technical support, have a question about advertising opportunities, or have a general question, please contact us by phone or submit a message through the form below. The first series diverges. We'll also offer at-home testing for 2020 AP Exams. This is a list of calculus topics. Similarly, the minimal design of this text allows the central ideas of calculus developed in this book to unfold to ignite the learner's imagination. Review Precalculus 2. Pass the Collegeboard CLEP exam in Precalculus with a score of 50; or. In both cases the series terms are zero in the limit as n goes to infinity, yet only the second series converges. Students must master these symbols so that they can correctly analyze the problems they will be doing. Differentiation of Logarithmic Functions. PHONE 540-853-2116 • FAX 540-853-1056 • Site Map. LOCATION 2104 Grandin Road SW Roanoke, VA 24015 • PHONE 540-853-2116 • FAX 540-853-1056 • Site Map. 2 Variable content. Make your own functions, and live to tell the tale. And it is written in symbols as: lim x→1 x2−1 x−1 = 2. 6 Interactive_Classroom_Nonlinear_Inequalities. Analysis & calculus symbols table - limit, epsilon, derivative, integral, interval, imaginary unit, convolution, laplace transform, fourier transform. The Calculus of Basketball. Download The Unit Circle. These presentations are compatible with PowerPoint 2007 or higher or PowerPoint Viewer 2007. This Calculus PowerPoint Theme or template is broadly colored Beige. Precalculus, Sixth Edition Ron Larson, The Pennsylvania State University, The Behrend College Robert P. Help in precalculus. ppt View Download. What Is Calculus? Derivatives of Exponential and Logarithmic Functions. Download free in Windows Store. A note on examples. Calculus, Pre-Calculus. Fall 2019 Dept. 0 International License (CC BY-NC-SA), which means you can share, remix, transform, and build upon the content, as long as you credit OpenStax and license your new creations under the same terms. Domain and Range of a Function. We have numbered the videos for quick reference so it's. Activities for students and lovers of pre-calculus. Precalculus, Lecture 10, Part 4, The Difference Quotient. Offered only by the College Board. This Calculus PowerPoint Theme or template is broadly colored Beige. Selection File type icon File name Description Size Revision Time User; 2. The LATEX and Python les. The links on the left side of the page are in the original PowerPoint format. IF YOU LIKE ALEKS, BUT YOU FIND THE PACE IN 141 TO BE TOO FAST, TRY THE MATH 15s! These are great, 1-unit, online, ALEKS-based, self-paced refreshers that have helped many students. This is a recurring theme in calculus: Big things are made from little things. General Inquiry Technical Support Advertising. , Which will be the most strategic or efficient?) use mathematical concepts and tools to solve problems and. Pass (with a grade of C or higher) a Precalculus course at a college or university; or. Alg-3-1-Solving-1-step-Eq. Precalculus, Lecture 10, Part 8, Domain of a Function, Example 2. Calculus 1 Class Notes, Thomas' Calculus, Early Transcendentals, 12th Edition Copies of the classnotes are on the internet in PDF format as given below. 5 Write Ratio & proportions. Roots and rational exponents. Alg-3-5-Write-Ratio--proportions. Transcript: Objectives To successfully create a program that can solve a problem that is related to calculus and is currently discussed during the prelim, midterm and final phase of the 1st semester. Prior to 1990, the performance of a student in precalculus at the Univer-sity of Washington was not a predictor of success in calculus. 15E is trig; 15F is college algebra. 4 Fundamental Theorem of Calculus Morro Rock, California Greg Kelly, Hanford High School, Richland, Washington Photo by Vickie Kelly, 1998 If you were being sent to a desert island and could take only one equation with you, might well be your choice. Weekly Syllabus. Introduction to Math Philosophy and Meaning. Offered only by the College Board. i Preface This book is a revised and expanded version of the lecture notes for Basic Calculus and other similar courses o ered by the Department of Mathematics, University of Hong Kong, from the ﬁrst semester of the academic. MCV4U Calculus and Vectors. The Calculus of Basketball. Calculus is the study of motion and change and can be very frustrating and overwhelming for many students. 2 Variable content. Appropriate technology, from manipulatives to calculators and application software, are used regularly for instruction and assessment. Animations clearly show step-by-step work for the examples. Area and Perimeter. Precalculus Examples. Precalculus Real Math Real People / AGA Select Book Algebra and Trigonometry 10e Algebra and Trigonometry 9e College Algebra 10e College Algebra 9e Precalculus 10e Precalculus 9e Precalculus A Concise Course 3e Precalculus with Limits 4e Precalculus with Limits 4e High School Precalculus with Limits 3e Precalculus with Limits Texas 3e. Piecewise functions. indd 12712 Precalc SE Tpg. All of the resources hosted by the La Citadelle web site are free to visit, test, study or learn. pdf PC CH cal 2,3 HW Ans Key. ] Discrete Event Systems - R. Calculus Graphing Projects. Calculus is used in mechanical, physics etc. See the course schedule or browse the YouTube playlist. It builds upon the pre-calculus topics you were introduced to in Grade 10 Introduction to Applied and Pre-Calculus Mathematics. Home Work Pre-Calculus Home Work. In this course we will cover the calculus of real univariate functions, which was developed during more than two centuries. You will put. What Is Calculus? Derivatives of Exponential and Logarithmic Functions. This Calculus PowerPoint Theme or template is broadly colored Beige. Calculus is derived from Greek words Calcis-lime stone, Tartar- white encrustation inside casks. Precalculus brings math to life with many real-life applications. Basic Math. The content is organized by clearly-defined learning objectives and includes worked examples that demonstrate problem-solving approaches in an accessible way. edu) PowerPoint slides from the textbook publisher are here, section by section, for the content of Calculus II. These presentations are compatible with PowerPoint 2007 or higher or PowerPoint Viewer 2007. Animations clearly show step-by-step work for the examples. Sequences and Series Consider the following sum: 1 2 + 1 4 + 1 8 + 1 We will not prove this; the proof appears in many calculus books. Circumscribed Rect a b a b a b Find the value c guaranteed by the Mean Value Theorem for Integrals for the function f(x) = x3 over [0, 2]. General Inquiry Technical Support Advertising. 1 - PC 1_1_basics_of_graphs. The Calculus of Basketball. The textbook for this course is Stewart: Calculus, Concepts and Contexts (2th ed. How to sketch the graphs of polynomials. Advanced Problems In Mathematics - Algebra & Calculus by Rishabh 5131 Views Chapter 8- introduction to minerals by Erin. ® is a trademark registered and owned by the. 4 Fundamental Theorem of Calculus Morro Rock, California Greg Kelly, Hanford High School, Richland, Washington Photo by Vickie Kelly, 1998 If you were being sent to a desert island and could take only one equation with you, might well be your choice. Precise Definition of Limit 6. #N#The Pre-Calculus 3. Orientation PowerPoint (. Calculus, Pre-Calculus. PowerPoint Slides (Download only) for Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry. Tamaqua Area School District 500 Penn Street Tamaqua, PA 18252 Phone 570-668-1901 Fax 570-668-2970. ly/1vWiRxW Hello, welcome. We start at (X0,Y0). The Fundamental Theorem of Calculus Sections 5. Korsunsky's Pre-Calculus lectures. Dedicated to all the people who have helped me in my life. Algebra, Linear. Pre-Calculus. indd 12712 Precalc SE Tpg. It will be a couple of sections before we can prove this, so at this point please believe this and know that you'll be able to prove the convergence of these two series in a couple of sections. Systems of equations. Free Powerpoints for PK-12 Math. 3 • Chapter 3 Review • Click Here for HW. Another form of plotting positions in a plane is using polar coordinates. Prerequisites: test yourself Compute (x + 4)(x + 3). Basic Math. b a f xdx Fb Fa, where F(x) is any antiderivative of f(x). 1 What You Should Know. 1 Compositions of Functions Definition of Composition of Two Functions The domain of is the. Pre-Calculus. ® is a trademark registered and owned by the. After your request has been reviewed and authorized, you will receive a response from our Faculty Services team within 48 hours. Calculus is the branch of mathematics that deals with continuous change. PowerPoint Lectures for AB and BC Calculus These lectures may be freely copied and distributed to calculus teachers and students. Writing on the AP Calculus Exams. Course Description: Pre-Calculus provides students an honors-level study of trigonometry, advanced functions, analytic geometry, and data analysis in preparation for calculus. In this course we will cover the calculus of real univariate functions, which was developed during more than two centuries. Pre-Calculus PowerPoint Drills. Get access to all the courses and over 150 HD videos with your subscription. Precalculus is adaptable and designed to fit the needs of a variety of precalculus courses. This page contains PowerPoint slides and related handouts to various talks I have given. PowerPoint Presentations. ppt View Download. The Calculus I portion of many of the problems tends to be skipped and left to the student to verify or fill in the details. And sometimes the little things are easier to work with. Inequalities & Absolute Values. Tamaqua Area School District 500 Penn Street Tamaqua, PA 18252 Phone 570-668-1901 Fax 570-668-2970. A Circle Is The Set Of Points In PPT Presentation Summary : Equations of circles. The CLEP®, College Board. 1_WalkthroughApp. MATH 221 { 1st SEMESTER CALCULUS LECTURE NOTES VERSION 2. PHONE 540-853-2116 • FAX 540-853-1056 • Site Map. The LATEX and Python les. PreCalculus Powerpoint Presentation. Practice Calculus Readiness Test Instructions: • Read each problem carefully. 0 works a little differently than the 2. #N#Leave any comments, questions, or suggestions below. Korsunsky's Pre-Calculus lectures. I am currently using all of them to create a more visual approach of my lesson to high school students. Calculus PowerPoint Templates and Backgrounds. Precalculus Problems Website (The development of this website was supported by a UIIP grant from the Teaching Resources Center at the University of California, Davis. 1 • Section 3. Comments (-1) Sec8. The textbook for this course is Stewart: Calculus, Concepts and Contexts (2th ed. A complete listing of Precalculus Books, McGraw Hill Books. The first portion of the book is an investigation of functions, exploring the graphical behavior of, interpretation of, and solutions to problems involving linear. Clicking on a link will take you to Google Drive. Students are suddenly required to memorize a lot of material as well as recall various concepts from their previous math courses. Precalculus Unit F04 – ArcFunctions; Precalculus Unit F05 – Trigonometric Identities; Precalculus Unit F06 – More Trig Identities; Precalculus Unit F07 – Trigonometry of Oblique Triangles; Precalculus Unit S01 – Vectors; Precalculus Unit S02 – Complex Numbers; Precalculus Unit S03 – Conic Sections; Precalculus Unit S04 – Probability. Precalculus, Lecture 10, Part 4, The Difference Quotient. Precalculus: An Investigation of Functions (2nd Ed) David Lippman and Melonie Rasmussen. ppt (898 KB) Equella is a shared content repository that organizations can use to easily track and reuse content. Or when x=5 the slope is 2x = 10, and so on. Calculus is the branch of mathematics that deals with continuous change. The links on the right side of this page are for video recordings of the PowerPoint lectures given in AB and BC Calculus class. Applications and modeling will be included throughout the course of study. Then work the problem on a separate sheet of paper and click on the box next to the correct choice. Pre-Calculus. Free Powerpoints for PK-12 Math. MAT 146: Calculus II. The ideal resource for taking more than one exam. I plan on helping each one have a memorable and successful year of learning. Precalculus Slides. Here are the power points that were presented in class. functions, identities and formulas, graphs: domain, range and transformations. Integrated review can be used in corequisite courses, or simply to help students who enter without a full understanding of prerequisite skills and concepts. pdf PC CH cal 1 HW Ans Key. Calculus II tends to be a very difficult course for many students. Precalculus Review: Lesson 1 Video. Pre-Calculus 3. Learn for free about math, art, computer programming, economics, physics, chemistry, biology, medicine, finance, history, and more. Trigonometry Review with the Unit Circle: All the trig. Precise Definition of Limit 6. Pre-calculus involves graphing, dealing with angles and geometric shapes such as circles and triangles, and finding absolute values. Students must master these symbols so that they can correctly analyze the problems they will be doing. 2712 Precalc SE Tpg. Many calculus examples are based on physics. Roots and rational exponents. pdf: File Size: 389 kb: Download File. It is a comprehensive text that covers more ground than a typical one- or two-semester college-level precalculus course. I am excited to get to know each student and share my passion for math with them. Placed into Calculus: 1. Antiderivatives, Differential Equations, and Slope Fields. Animations clearly show step-by-step work for the examples. 22 April 2020. It is not comprehensive, and. Then work the problem on a separate sheet of paper and click on the box next to the correct choice. The PowerPoint has nine problems done out step by step. MATH 221 { 1st SEMESTER CALCULUS LECTURE NOTES VERSION 2. b a f xdx Fb Fa, where F(x) is any antiderivative of f(x). Calculus I or needing a refresher in some of the early topics in calculus. Alg-3-2-Two-step-equations. Calculus Powerpoints and Video. Testimonials for Pre-Calculus and SAT Interactive Lectures/Lecture Notes Vol. The course is designed similarly to the CPM Core Connections courses. 1 Contents 1 Trigonometric identities 2 2 PRE1: Review of geometry 4 3 PRE2: Trigonometric functions 13 4 PRE3: Trigonometric identities 46 5 PRE4: Trigonometric equations and inequalities 72. What is synthetic division? What is the binomial theorem? What is mathematical induction? What is a rational number?. indd 12712 Precalc SE Tpg. 2712 Precalc SE Tpg. Calculus, Multivariable Calculus By Stewart, Eighth Edition Calculus Vol. ppt), PDF File (. Help in precalculus. On a daily basis, students work collaboratively with. Sequences and Series Consider the following sum: 1 2 + 1 4 + 1 8 + 1 We will not prove this; the proof appears in many calculus books. The CLEP®, College Board. Below is a sample breakdown of the Functions: Precalculus chapter into a 5-day school week. Precalculus Website: 7. Surprising geometry emerges in the study of fluid jets. In this image, a vertical jet is deflected into a horizontal sheet by a horizontal impactor. For Dummies books, including. 6 ken kuniyuki san diego mesa college july 12, 2012. #N#The Pre-Calculus 3. Michael Sullivan. edu) PowerPoint slides from the textbook publisher are here, section by section, for the content of Calculus II. Help in precalculus. Precalculus, Lecture 10, Part 4, The Difference Quotient. If you change your mind, just click on a diﬀerent choice. Helpful Reads From The Blog Inspiring Women to Lead: A Necessary Part of the Gender Parity Change Agenda. Inequalities & Absolute Values. This lesson contains the following Essential Knowledge (EK) concepts for the *AP Calculus course. Continuity 7. Precalculus combines concepts from college algebra and trigonometry to compose a clear and comprehensive overview that successfully prepares students for the college calculus course. Domain and Range of a Function. Sequences and Series Sequences. Sequences and Series. Polynomial Functions. The course is designed similarly to the CPM Core Connections courses. pdf PC CH cal 2, 3 HW. Free math problem solver answers your precalculus homework questions with step-by-step explanations. derivative as limit of a ratio, integral as limit of a sum initially (Newton, Leibniz) without rigorous deﬁnition of 'limit'. A sequence in mathematics is defined as an ordered list of elements (usually numbers) whose order defines some underlying property of the list. NEW! Cengage is proud to announce the latest addition to our online product line for Stewart's Calculus: Early Transcendentals. Clicking on a link will take you to Google Drive. Make your first introduction with matrices and learn about their dimensions and elements. *CLEP is a registered trademark of the College Board, which was not involved in the production of, and does not endorse, these offerings. The following picture shows the. MCV4U Calculus and Vectors. Systems of Equations. Laws of Limits 5. This is a list of calculus topics. Many powerpoint presentations and the Study Guide and Practice worksheets are on my website. Precise Definition of Limit 6. It builds upon the pre-calculus topics you were introduced to in Grade 10 Introduction to Applied and Pre-Calculus Mathematics. Exponential and logarithmic functions. Introduction to Math Philosophy and Meaning. indd 1 1/3/05 12:40:36 PM1/3/05 12:40:36 PM. The idea behind the symbol f (t) is absolutely t. Choose a specific addition topic below to view all of our worksheets in that content area. Grades, attendance, calendar, and other useful school related resources are at Renweb. Home Work Pre-Calculus Home Work. Because of this independent development, we have an unfortunate mix of. Powerpoints for AB & BC Calculus (many) Calculus Powerpoint Drills. About the Book Author. pdf), Text File (. Prerequisite: "B" or better in Pre-calculus and teacher recommendation. All of the resources hosted by the La Citadelle web site are free to visit, test, study or learn. Precalculus Goal Statement Precalculus is the preparation for calculus. Prerequisite: “B” or better in Pre-calculus and teacher recommendation. And it is written in symbols as: lim x→1 x2−1 x−1 = 2. Comments (-1) Sec8. = 16 16 The Second. What Is Calculus? Derivatives of Exponential and Logarithmic Functions. The textbook for this course is Stewart: Calculus, Concepts and Contexts (2th ed. Calculus for Beginners and Artists Chapter 0: Why Study Calculus? Chapter 1: Numbers Chapter 2: Using a Spreadsheet Chapter 3: Linear Functions Chapter 4: Quadratics and Derivatives of Functions Chapter 5: Rational Functions and the Calculation of Derivatives Chapter 6: Exponential Functions, Substitution and the Chain Rule. Derivatives 8. Chapter 2: Chapter 3 (1. Solving Equations. The following picture shows the. With calculus, we have the ability to find the effects of changing conditions on a system. , Models and Functions. ) An undergraduate degree in mathematics provides an. Math-talk for "curvy" Odd and even functions. Roger Day ([email protected] With few exceptions I will follow the notation in the book. The notes were written by Sigurd Angenent, starting from an extensive collection of notes and problems compiled by Joel Robbin. About the Book Author. I plan on helping each one have a memorable and successful year of learning. Thus, the first term corresponds to n = 1, the second to n = 2, and so on. The links on the right side of this page are for video recordings of the PowerPoint lectures given in AB and BC Calculus class. pdf), Text File (. indd 12712 Precalc SE Tpg. How to sketch the graphs of polynomials. However, with a few of the recommended resources listed here, you will find that calculus doesn't have to be difficult to learn. Laws of Limits 5. And "the derivative of" is commonly written : x 2 = 2x "The derivative of x 2 equals 2x" or simply "d dx of x 2 equals 2x" What does x 2 = 2x mean? It means that, for the function x 2, the slope or "rate of change" at any point is 2x. Quadratic Equations. BASIC CALCULUS REFRESHER Ismor Fischer, Ph.