Calculus 2 ppt

edu · Integral Calculus joins (integrates) the small pieces together to find how much there is. This is the free digital calculus text by David R. 3. Mar 30, 2016 Study calculus online free by downloading Volume 2 of OpenStax's college Calculus textbook and using our accompanying online resources. CALCULUS Table of Contents Calculus I, First Semester Chapter 1. Precise Definition of Limit 6. Where many texts present a general theory of calculus followed by substantial Multivariable Calculus The world is not one-dimensional, and calculus doesn’t stop with a single independent variable. 2. 2  District Calendar Facility Use RequestSchool LocationsBoard Docs Safe 2 Say District Section 8. Work · 6. 8 Spherical Coordinates. Complex Numbers Develop 2 x 2 matric notation. 4 Modern calculus 2 Newton and Leibniz 2. In this chapter, we show how to define and calculate limits of function values. Calculus Applets 14. Derivatives as Greg Kelly Math Calculus PowerPoints and Video Lectures The links on the right side of this page are for video recordings of the PowerPoint lectures given in AB and BC Calculus class. Volume · 4. Analytics. Aug 1, 2013 Part 2. It was submitted to the Free Digital Textbook Initiative in California and will remain ocw. The Chain Rule 14 1. The Fundamental Theorem of Calculus: 2. Two books that use calculus are Binger and Hoffman [1] and Nicholson [5]. Home: Algebra 2: Geometry: Physics: Precalculus: Precalculus Class Notes Calculus: *Dental calculus can be considered as an ectopic mineralized structure. ppt - docs. King Onondaga Central Schools 4479 South Onondaga Rd Nedrow, NY 13120 cos 2 π 1 tan θ (in terms of sine and/or cosine) sin cos θ θ cot θ (in terms of sine and/or cosine) cos sin θ θ csc θ (in terms of sine and/or cosine) With Cengage Unlimited you get all your Cengage access codes on platforms like MindTap and WebAssign plus online versions of your textbooks for one price per semester. Published by Wiley. MathCentre . "This is my first year teaching Calculus AB and I found the mathboat package a great tool that helped me enjoy teaching the course. Hot tip: Video ads won’t appear to registered users who are logged in. He has kindly donated them for the use of all students in this course. " - Mary S. We are Vancouver Community College, a publicly-funded college in operation since 1965 and holding EQA status from the   Pre-Calculus Module 1. 00 KB (Last Modified on December 3, 2012). What is the Fundamental Theorem of Calculus? Why is it fundamental? The Fundamental Theorem of Calculus: If then. BA 2110. NOW is the time to make today the first day of the rest of your life. LaGrande,Oregon,97850 November6,2013 PowerPoint slides from the textbook publisher are here, section by section, for the content of Calculus II. Dept. The FortranCalculus (FC) language is Lecture Notes on Integral Calculus UBC Math 103 Lecture Notes by Yue-Xian Li (Spring, 2004) 1 Introduction and highlights Di erential calculus you learned in the past term was about di erentiation. The chapter headings refer to Calculus, Sixth Edition by Hughes-Hallett et al. Laws of Limits 5. Aug 23, 2017 When taking this course, you are getting a two for one bargain! For our IB Students this is Group 5 Mathematics Standard Level, for our AA  For Calculus w/ Analytic Geometry Mth 173 Most professors of Calculus with Analytic Geometry will tell you that the trigonometry portion of the Problem 2. 3. DIFFERENTIAL AND INTEGRAL CALCULUS, I i Preliminaries Preparatory reading. Distance, Velocity, Acceleration · 3. October 19, 2010. Calculus, defined as the mathematical study of change, was developed independently by Isaac Newton and Gottfried Wilhelm von Leibniz in the 17th century. The presentation will start after a short (15 second) video ad from one of our sponsors. How to Understand Calculus. CHAPTER 7 - Integration Exercises and Problems in Calculus John M. Section 2: Using Calculus to Learn Economics 7 There are many good textbooks on microeconomic theory at the intermediate level, among them those by Landsburg [3] and Varian [9]. First Fundamental Theorem: 1. (formerly STAT. For example, 1,2,3,4,5,6 The order of the sequence is important. Greg Kelly, Hanford High School, Richland, Washington Photo by Vickie Kelly, 2003 Arches National Park To be differentiable, a function must be continuous and smooth. PPT – Power Plant Technology Courses. BA 2120 Bus Apps I. Use Firefox to download the files if you have problems. Nguyen. Riemann found an example of a function f that is integrable over any interval but whose antiderivative is not differentiable at x if x is a rational number with an even denominator. 0 (fall 2009) This is a self contained set Complementary materials: You can find the suggestive answer key here (the 7th edition) and here (the 8th edition). He has kindly donated them for the use of all students in this  The Basics of Physics with Calculus – Part II. MATH 221 { 1st SEMESTER CALCULUS LECTURE NOTES VERSION 2. 1. math. FC Compiler. 4. For $119. 1 Newton 2. Neither of these employs calculus except in the appendices. 4 ppt edited About the AP Calculus AB and BC Courses 7 College Course Equivalent 7 Prerequisites COURSE FRAMEWORK 11 Introduction 12 Course Framework Components 13 Mathematical Practices 15 Course Content 20 Course at a Glance 25 Unit Guides 26 Using the Unit Guides 29 UNIT 1: Limits and Continuity 51 UNIT 2: Differentiation: Definition and Fundamental The limit of (x 2 −1) (x−1) as x approaches 1 is 2. Birth of modern science and of calculus Stage II, 1630–1680: science is written in the language of mathematics! Calculus, 2/e Titles Available Sample Chapter What's New MyMathLab ® for Briggs Calculus eText with Interactive Figures Instructor Exchange Pearson Higher Education About Us Educators Academic Executives Students Other Customers Browse our Catalog Finite Math & Applied Calculus Contact a Rep Find your Pearson rep Technical Help 24 /7 Technical Fundamental Theorem of Calculus: ' x a d F xftdtfx dx where f t is a continuous function on [a, x]. Example 1: Let f(x) = 2 x + 2 and compute f(x) as x takes values closer to 1 Calculus - authorSTREAM Presentation. 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. What is the purpose of a limit in calculus? A limit allows us to examine the tendency of a function around a Applied Calculus Math 215 Karl Heinz Dovermann Professor of Mathematics University of Hawaii July 5, 1999 Substitution Theorem for Trigonometric Functions laws for evaluating limits – Typeset by FoilTEX – 2 www. 1: Integrals – Calculus 1 review. I may keep working on this document as the course goes on, so these notes will not be completely Free calculus PowerPoint template is a free background that you can use for Maths and other presentation needs. Motion along a Straight Line: Motion along a Straight Line Velocity is the rate of change in the position of a moving object with respect to time. Derivative matches upper limit of integration. Introduction These notes are intended to be a summary of the main ideas in course MATH 214-2: Integral Calculus. CAL 2. You may also use any of these materials for practice. A continuation of single variable calculus, which will include techniques of . "Your PPT's are so helpful. And Differential Calculus and Integral Calculus are like inverses of each other, similar to how multiplication and division are inverses, but that is something for us to discover later. Jan 20, 2019 Trigonometric identities. 2. An Example, Please. 1. Elementary Calculus: An Infinitesimal Approach; Nonstandard calculus; Infinitesimal; Archimedes' use of infinitesimals; For further developments: see list of real analysis topics, list of complex analysis topics, list of multivariable calculus topics 1. Active Calculus: our goals In Active Calculus, we endeavor to actively engage students in learning the subject through an activity-driven approach in which the vast majority of the examples are completed by students. This is not the usual approach in beginning The Domain Relational Calculus (1/2) Differs from tuple calculus in type of variables used in formulas Variables range over single values from domains of attributes Formula is made up of atoms Evaluate to either TRUE or FALSE for a specific set of values • Called the truth values of the atoms 46 The Domain Relational Calculus (2/2) QBE Would you like to be able to determine precisely how fast Usain Bolt is accelerating exactly 2 seconds after the starting gun? Differential calculus deals with the study of the rates at which quantities change. LIMITS. approaches a different number from the right Example 6 side of than it approaches from the left side of Page 2 of 97. Introduction. Use these to review and reinforce class notes and  Powerpoint Presentations. calculus 1. Use these to review and reinforce class notes and activities. At all other points in the interval ( a, b), Calculus 2. Back to Calculus B Homepage · Back to Carol Schumacher's  Jun 19, 2014 Calculus II Preface Here are my online notes for my Calculus II course that I teach Calculus II don't have time in class to work all of the problems  Calculus, Calculus I, Calculus II, Calculus of a Single Variable, Multivariable CalculusLarson | Hostetler | Chapter 1: Limits and Their Properties, PPT | ZIP. Shed the societal and cultural narratives holding you back and let free step-by-step Stewart Calculus textbook solutions reorient your old paradigms. MERLOT Chapters 2 and 3 coverwhat might be called multivariable pre-calculus, in- troducing the requisite algebra, geometry, analysis, and topology of Euclidean space, and the requisite linear algebra,for the calculusto follow. edu Lectures on Vector Calculus Paul Renteln Department of Physics California State University San Bernardino, CA 92407 March, 2009; Revised March, 2011 The dashed pink line shows CBMS data for fall enrollment in mainstream calculus I at all 2-year colleges. FC-Compiler (tm) is a Calculus (level) Compiler, helps Tweak param's. [Carranza ]2 5. Use arrow notation. (a) z = 3 is the equation of a horizontal plane at level 3 above the xy-plane. Download the PowerPoint Viewer here. Then f (c) is the absolute minimum value on D if and only if f(x) < f (c) for all x in D. 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 13. THE FUNDAMENTAL THEOREM OF CALCULUS. The “AREA”. Syllabus for MATH 2423 –Calculus and Analytical Geometry II, Page 2 . The ideas of partial derivatives and multiple integrals are not too di erent from their single-variable coun-terparts, but some of the details about manipulating them are not so obvious. Review Precalculus 2. The Use of Calculus in Engineering. Jul 24, 2018 MATH 1920 - Calculus II This course is a study of integral calculus, parametric equations and . Greg Kelly, Hanford 2. Despite the fact that these are my “class  Examples of various hands-on and nontraditional calculus activities by rotating A around the y-axis; Model the solid obtained by rotating A around y=-2. La Citadelle [From Rate of Change to Derivative] Graphing Calculators 1. I would have been so overwhelmed preparing lessons as I have another new prep this year. 3: Improper Integrals. 2 Leibniz 3 Integrals 4 Symbolic methods 5 Calculus of variations 6 Applications 7 See also 8 Notes 9 Further Topics in a Calculus II Course. harvard. (b) y = 2 is the equaton of a vertical plane parallel to the xz-coordinate plane. This is a very condensed and simplified version of basic calculus, which is a prerequisite for many Calculus Chapter 2. Area between curves · 2. Mrs. edu This feature is not available right now. Solve applied problems with rational functions. Conditions Under Which Limits Do Not Exist The limit of as does not exist under any of the following conditions. Algebra 2Trig. 2 Dental Calculus consists of mineralized bacterial plaque that forms on the surfaces of natural teeth and dental prosthesis. Riemann Sums: 11 nn ii ii ca c a 111 nnn ii i i iii ab a b 1 lim ( ) b n n a i f xdx f a i x x n b a x 1 1 n i n 1 (1) 2 n i nn i 2 1 (1)(2 1) 6 n i nn n i 2 3 1 (1) 2 n i nn i Differential and Integral Calculus Review and Tutorial AnthonyA. Identify horizontal asymptotes. Roger Day (day@ilstu. Center of Mass · 7. 19. 99 you also get access to study tools like flashcards powered by Quizlet, a textbook rental with each access code, extras from partners like Chegg® and more. com Sign In 2. CHAPTER 1 Sequences of Real Numbers 1. 11. Here are my online notes for my Calculus II course that I teach here at Lamar University. 7 Cyl- indrical Coordinates 14. 2: Techniques of Integration. 25 identifies three values of x at which the graph of f is not continuous. Math 120 and 121 (Calculus I and II) / Lecture Part II includes Riemann sums and integrals, techniques and applications of integration, improper integrals,  The official website for the real VCC. View Lesson 2 PowerPoint. ppt 300. Identify slant (oblique) asymptotes. Calculus, originally called infinitesimal calculus or "the calculus of infinitesimals", is the mathematical study of continuous change, in the same way that geometry is the study of shape and algebra is the study of generalizations of arithmetic operations. 15 Vector Calculus 15. To learn more about a topic listed below, click the topic name to go to the corresponding MathWorld classroom page. Chapter 4. Do you have PowerPoint slides to share? If so, share your PPT Calculus II. google. Identify vertical asymptotes. Surface Area. Analytics III: Descriptive. Download the study materials or notes which are sorted module wise CM111A – Calculus I Compact Lecture Notes 1. Tovar,Ph. The website has been designed to give you easy access to study materials, book supplements and challenge problems that will help you with your study of calculus. Ppt calculus 2 problem solved in Description. Despite the fact that these are my “class notes”, they should be accessible to anyone wanting to learn Calculus II or needing a refresher in some of the topics from the class. I can't imagine teaching this course for the first time without them. And it is written in symbols as: 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" Chapter 2 Overview The concept of limit is one of the ideas that distinguish calculus from algebra and trigonometry. Find materials for this course in the pages linked along the left. Copies of the classnotes are on the internet in PDF format, as given below. Email me (I encourage corrections!) … HOME • WHAT NOW? • SOLUTIONS TO THE FINAL NOW UP: Final Solutions • CLASS ANNOUNCEMENTS d3bxy9euw4e147. 2 Car Example The key idea of calculus, on which the entire eld stands, is the relationship between a quantity and a rate of change in that quantity. Calculus II Vladimir V. Use transformations to graph rational functions. Because the rock is now moving, we need calculus. Since only textbooks group integrals according to the method necessary for solving them, it is essential that students learn to recognize the different types quickly and accurately. All three books are great, my personal favorite is the flrst one. D. These powerpoint lectures were created by Professor Mario Borelli in Fall 2011. We ensure the best quality study materials and notes for KTU Students. Wright's Online Classroom Resources. 6 Rational Functions & Their Graphs Objectives Find domain of rational functions. Home Page. Rates of Change, Tangent Lines and Differentiation 1 1. Calculus is a branch of mathematics focused on limits, functions, derivatives, integrals, and infinite series. 2110). net Figure 2. 224 animations of key topics in: Pre-Algebra, Algebra 1, Geometry, Algebra 2, Trigonometry, Pre-Calculus … all in one set! The basic license is for 4 computers at one school. Chapter 1 General Information This is an online manual is designed for students. This free background template is a free PPT slide design for your Microsoft PowerPoint 2007 and 2010 presentations. Your instructor might use some of these in class. MAT 202 Calculus II: GT-MA1 5 credits. This book presents the necessary linear algebra and then uses it as a framework upon which to build multivariable calculus. 4. . Math 1220 (Calculus 2) Lecture Videos These lecture videos are organized in an order that corresponds with the current book we are using for our Math1220, Calculus 2, courses (Calculus, with Differential Equations, by Varberg, Purcell and Rigdon, 9th edition published by Pearson). Lesson 3. AP Physics C. Erdman Portland State University Version August 1, 2013 c 2010 John M. Complete Math 2423 Lesson 2 Assignment. Like evolution, calculus expands your understanding of how Nature works. Chapter 6: Applications of Definite Integrals. Shortest Path Between 2 Points. Erdman E-mail address: erdman@pdx. If then The Fundamental Theorem of Calculus: 1. Suppose that y= f(x) is a continuous function with a continuous derivative on [a;b]:The arc length Lof f(x) for a x bcan be obtained by integrating the length element 2. Lessons . Kinetic energy; improper  Semester 2 Finals: Semester 2 Final Study Guide · Semester 2 Final Study Guide Filled In. Multivariable calculus is just calculus which involves more than one variable. Topics typically include the study of complex numbers; polynomial, logarithmic, exponential, View and Download KTU Calculus | MA 101 Class Notes, Printed Notes, Presentations (Slides or PPT), Lecture Notes. These powerpoint lectures were created by Professor Mario Borelli in Fall 2011. INTUTE 2. Liebniz’ Calculus of Differentials 13 1. MATH 150 - CALCULUS WITH ANALYTIC GEOMETRY I. Key Questions. The Fundamental Theorem of Calculus: 1. EasternOregonUniversity 1UniversityBlvd. 1 The following is a list of worksheets and other materials related to Math 129 at the UA. 1 Vector Fields 15. The sound theory of calculus as we know it today, and as we are going to learn it in this course was mostly developed through- out the 19th century, notably by Joseph-Louis Lagrange (1736-1813), Augustin Sequences of Real Numbers---an introduction (presented in class on November 2, 2011) Tests for Convergence (presented in class on November 9, 2011) The Ratio Test (presented in class on November 11, 2011) Alternating Series and the Alternating Series Test (presented in class on November 28, 2011) Power Series (presented in class on November 30 168 Chapter 8 Techniques of Integration to substitute x2 back in for u, thus getting the incorrect answer − 1 2 cos(4) + 1 2 cos(2). Dr. Suppose we know the equation for circumference ($2 \pi r$) and want to find area. Don't show me this again. Trigonometric Functions 16 1. Contact Us. Multivariable calculus (also known as multivariate calculus) is the extension of calculus in one variable to calculus with functions of several variables: the differentiation and integration of functions involving multiple variables, rather than just one. This subject constitutes a major part of mathematics, and underpins many of the equations that 2-1: Relations and Functions : 2-1: Relations and Functions Objectives: 1) To graph relations 2) To identify domain and range given ordered pairs, a table, and a graph 3) To identify functions using a mapping diagram 4) To identify functions given ordered pairs and by using vertical line test 5) To evaluate functions 6) To show understanding of above via quiz 7) To create or find and restate a Welcome to the website for my new edition of Calculus. CONTENTS Definitions History Classification Supragingival calculus Subgingival calculus Prevalance Rate of formation Attachment of calculus Diagnosis Formation of calculus Theories of mineralization Clinical significance Anticalculus agents Indices Future research CONCLUSION REFERENCES Calculus. Fundamentals of Engineering Calculus, Differential Equations & Transforms, and Numerical Analysis Brody Dylan Johnson St. PowerPoint Lectures for AB and BC Calculus These lectures may be freely copied and distributed to calculus teachers and students. Continuity 7. I have included versions with both color figures and black and white figures (the "black and white" files are roughly 1/3 the size of the "color" files). An introduction, with definition, to limits in calculus with examples and solutions. The calculus of variations involves finding an extremum (maximum or minimum) of 2. Kisil 22nd May 2003 1. Mathematics 112---Calculus II. Guichard and others. b a f xdx Fb Fa, where F(x) is any antiderivative of f(x). Tangents 3. These books are intended for high-school students who like math. They may not be sold or included in a commercial product or website without the permission Mathematics with Mr. Louis University) Fundamentals of Engineering Calculus, Differential Equations & Transforms, and Numerical Analysis1 / 30 predict the rock’s path. History of calculus; Generality of algebra; Nonstandard calculus. MAT 146: Calculus II. Sequences A sequence is an ordered list of numbers. HW Cover Sheet. Basic Math Course Map through Algebra and Calculus. Differential 1 BASIC CALCULUS REFRESHER Ismor Fischer, Ph. Study additional matrix Lessons 1 & 2: Wishful Thinking: Does Linearity Hold? Calculus. Math Applets for Calculus at SLU 16. Derivatives 8. LIMITS AND CONTINUITY. Search this site. of Statistics UW-Madison 1. D. absolute maximum value on D if and only if f(x) > f (c) for all x in D. 125. MIT OpenCourseWare is a free & open publication of material from thousands of MIT courses, covering the entire MIT curriculum. Some are downright tricky. calculus ppt lessons. Download free calculus PPT template slide design with a light background color and curves. Algebra 1. Derivative of an   August 14, 2004. We have learned that the rate of change of displacement is defined as the VELOCITY of  5. ppt; New York Institute of Technology, Westbury; Calculus 2  II. Engineering is defined as "the profession in which a knowledge of the mathematical and natural sciences gained by study, www. Limits 4. Chapter 13 Presentations: Chapter 13, Section 1 Powerpoint. We are proud to announce the author team who will continue the best-selling James Stewart Calculus franchise. Otherwise it is impossible to understand. edu) PowerPoint slides from the textbook publisher are here, section by section, for the content of Calculus II. sjaweb. Instructor: Carol S. Can you find your fundamental truth using Slader as a completely free Stewart Essential Calculus solutions manual? YES! Now is the time to redefine your true self using Slader’s free Stewart Essential Calculus answers. Welcome! This is one of over 2,200 courses on OCW. If the function f and g are di erentiable and y is also a di erentiable function of x, the three derivatives dy dx, dy dt and dx dt are Learn for free about math, art, computer programming, economics, physics, chemistry, biology, medicine, finance, history, and more. Note that we have  Home Page · Test/Quiz Calendar · Assignments/Homework · Resources · IM 2 Resources · IM 3+ (Honors IM 3) Resources · AP Calculus BC Resources · AP  Calculus II - MTH301 VU Video Lectures, Handouts, Power Point Slides, Solved Assignments, Solved Quizzes, Past Papers and Recommended Books. Mr. CALCULUS PRESENTED BY DR. YOU are the protagonist of your own life. The UBC Calculus Online [Course Notes] 15. 4 Fundamental Theorem of Calculus. Newton’s Calculus 1 1. Please try again later. Unlock your Stewart Calculus PDF (Profound Dynamic Fulfillment) today. The following PowerPoint presentations are from my AP calculus lesson in Barstow High School. Selection File type icon File name The PowerPoint PPT presentation: "Calculus 2'7 Related Rates" is the property of its rightful owner. I am currently using all of them to create a more visual approach of my lesson to high school students. The manual is available at MATH 221 FIRST SEMESTER CALCULUS fall 2009 Typeset:June 8, 2010 1. A somewhat clumsy, but acceptable, alternative is something like this: Calculus 2 Class Notes. Here is the best resource for homework help with MATH 180 : Calculus 2 at New Caste System-2. These notes are based on the 12th edition of Thomas' Calculus. Average value of a function · 5. (extended school-based licenses available – see order form) Visit the “Calculus In Motion” or “Algebra In Motion” links above for stills of every animation, Calculus 2 Integration Techniques . Implicit Differentiation and Related Rates 19 Chapter 2. Algebra & calculus are a problem-solving duo: calculus finds new equations, and algebra solves them. Background Chapter 14. Calculus 2 Lia Vas Arc Length. org Pre-Calculus 2 / Pre-Calculus 1 / Pre-Calculus H 3 Statement of Purpose Pre-Calculus courses combine the study of Trigonometry, Elementary Functions, Analytic Geometry, and Math Analysis topics as preparation for calculus. mit. Calculus with Parametric equationsExample 2Area under a curveArc Length: Length of a curve Calculus with Parametric equations Let Cbe a parametric curve described by the parametric equations x = f(t);y = g(t). Arc Length. Saleem Watson, who received his doctorate degree under Stewart’s instruction, and Daniel Clegg, a former colleague of Stewart’s, will author the revised series, which has been used by more than 8 million students over the last fifteen years. We have numbered the videos for quick reference so it's To be honest, many students will never see series outside of their calculus class. The dashed brown line shows College Board figures for the number of students taking either the AB or the BC Calculus examination. 5 Triple Integrals 14. Draw Function Graphs 2. (under suitable  Mar 25, 2019 Calculus II. What to do? 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 Semester I(2013/14) Example 2. cloudfront. Theoretical Considerations 24 2. Derivatives will fail to exist at: corner cusp vertical tangent discontinuity Most of the functions we study in calculus will be differentiable. Schumacher. PUNIT FIRST YEAR PG 2. Khan Academy is a nonprofit with the mission of providing a free, world-class education for anyone, anywhere. Business. To do it properly, you have to use some linear algebra. 21. Calculus Class Notes Copies of the classnotes are on the internet in PDF and Postscript formats as given below. 754 Chapter 11 Limits and an Introduction to Calculus x 2 2 3 2 5 2 7 2 9 2 11 →0 sin 1 x 1 1 1 1 1 1 Limit does not exist. May 22, 2003 14. It is one of the two principal areas of calculus (integration being the other). It has two major branches, differential calculus and integral calculus. For example, we might want to describe the position of a moving car as time passes: Calculus Limits Introduction to Limits. Graph rational functions. However, series do play an important role in the field of ordinary differential equations and without series large portions of the field of partial differential equations would not be possible. 1 Extreme Values of Functions Definition Absolute Extreme Values Let f be a function with domain D. Let’s walk the walk. Louis University Brody Dylan Johnson (St. 4 Surface Area 14. 5. What is it? What good is it? What is Calculus? A systematic method of flight, Voyager II came within 41 miles of its target, 3000 miles from Neptune. Winplot [Video Tutorials] Other Resources 1. calculus 2 ppt