AP Calculus BC. Course: AP Calculus BC
|
|
- Christian Wilson
- 5 years ago
- Views:
Transcription
1 AP Calculus BC Course: AP Calculus BC Course Overview: This course is taught over a school year (2 semesters). During the first semester on a 90 minute mod, students cover everything in the Calculus AP topic AB/BC outline as it appears in the course planner below. All AB material is covered in the first semester. The second semester is reserved for the completion of BC material and AP review. Graphing Calculator skills are reviewed in the beginning of the course and emphasized in every section thereafter. In all sections of the course students are assessed with regular quizzes as well as previous AP free response items. These AP items are particularly important as they encourage students to produce solutions both verbally and in written sentences. Basic Teaching Strategies: Students are taught to understand the concepts graphically, numerically and analytically. They are epected to relate the three concepts throughout the course. Students are taught in large group settings and small group settings. In both environments, students are encouraged to verbally present solutions and guide each other. Students are invited to attend review sessions in March, April and May up to the AP test day. These sessions focus on practice tests including both multiple choice and free response items. Primary Technology: A TI-89 is strongly recommended for use in this course. Many students still use TI-83+ and TI-84+ calculators. An overhead panel and TI-SmartView are used for both types of calculator (the TI-89 SmartView should be available early net year). It is important that students are able to use a calculator to guide in accurate graphical, numeric and analytic responses Secondary Technology: Rick Parris, WinPlot, Peanut Software, Eeter, NH (latest version, Feb. 2007) This software is used for graphical presentations in class and for creating graphs for assessments and worksheets. Primary Tetbook: Larson, Ron, Robert P. Hostetler, and Bruce H. Edwards. Calculus of a Single Variable. Eighth Edition. Houghton Mifflin Company, New York, 2006.
2 Review Books and Other Resources: All AP Calc Free Response Items (1969 to present) -These encourage students to produce solutions both verbally and in written sentences. -To best solve AP free responses, students need to consider a combination of graphical, numeric and analytical responses. Foerster, Paul. Calculus Eplorations. Key Curriculum Press, Emeryville, Ca The student uses the graphing calculator to help solve problems, eperiment, interpret results and support conclusions. -These eercises require the student to communicate mathematics both verbally and in written sentences. Solow, Anita. Learning by Discovery: A Lab Manual for Calculus. The Mathematical Association of America, Washington, DC Students are given a model to make a mathematical lab report. These lab reports have students write brief eplanations and etensive paragraphs to draw conclusions. -Students use graphical, numeric and analytic responses to discover many Calculus concepts. Additional resources are also researched and incorporated into the course over the school year. Course Planner: Fall (2 Preparation for Calculus (1 week) Graphs and Models o A library of basic functions is reviewed. Students are taught to have a minds eye view of all common functions. n n 1 (,,,,ln( ), e,sin( ),cos ( ), tan( ), etc. ) Linear Models and Rates of Change o y m b and y y1 m 1 are emphasized for their importance in Calculus Functions Models to Data o This section is vital to review the use of function notation. II. Limits and Their Properties A Preview of Calculus o Slope as rate of change. o Area under a curve as distance traveled. Finding Limits Graphically and Numerically Evaluating Limits Analytically
3 sin( ) o lim 1 0 o Four indeterminate forms: 0,,0, are dealt with. 0 Continuity and One-Sided Limits. o Check for continuity at a point o The Intermediate Value Theorem is presented. Infinite Limits o Using limits and one-sided limits to identify asymptotic behavior (2 Differentiation In all sections students are relating f to the slope of the function. Finding a derivative is a step in answering the Tangent Line Problem ( 3 weeks) The Derivative and the Tangent Line Problem f ( ) f( ) o The difference quotient: f '( ) lim 0 o Alternatives for calculating f (c). f ( ) f( c) f '( c) lim c c o Use a tangent line to approimate function values. (local linearity) Basic Differentiation Rules and Rates of Change o Identify where a derivative eists and does not eist Product and Quotient Rules and Higher-Order Derivatives The Chain Rule Implicit Differentiation Related Rates. o This is a mini unit in itself. 3 days is devoted to this section alone. IV. Applications of Differentiation Etrema on an Interval Rolle s Theorem and the Mean Value Theorem Increasing and Decreasing Functions and the First Derivative Test. o Justify your answer many AP free response items are shown to students with this direction to show the importance of the First Derivative Test. Concavity and the Second Derivative Test o Points of Inflection o Testing for rel. etrema Limits and Infinity o This is the final piece in curve sketching. A Summary of Curve Sketching Optimization Problems o finding the best, fastest, cheapest, largest, or smallest is an important use of differential calculus.
4 Differentials o Local linear approimation is emphasized in this section. MIDTERM EXAMINATION: This test is very AP like (but needs to fit into 90 min). It contains about 30 M.C. and 3 Free Response Items. V. Integration ( 3 weeks) Antiderivatives and Indefinite Integration o Students see Indefinite Integrals as an opposite operation to Derivatives. Area o Concept of accumulation of area to find: distance travel, volumes of water spilled over a dam etc. o All different types of Sums are defined all at once: Left, Right, Midpoint, Inscribed, Lower, Upper. Also Trapezoid Rule Riemann Sums and Definite Integrals The Fundamental Theorem of Calculus 1 b o Average Value = ( ) b a f d, also presented a Integration by Substitution VI. Logarithmic, Eponential, and Other Transcendental Functions The Natural Logarithmic Function: Differentiation. o Logarithmic Differentiation is solid review of basic Log properties. The Natural Logarithmic Function: Integration Eponential Functions: Differentiation and Integration Bases Other than e and Applications VII. Applications of Integration Area of a Region Between Two Curves Volume: The Disk Method Volume: The Shell Method- if time allows Volume: Solid with known cross section VIII. Differential Equations and Calculus Methods Newton s Method Slope Fields and Euler s Method Differential Equations: Growth and Decay Separation of Variables and the Logistic Equations First-Order Linear Differential Equations
5 FINAL EXAMINATION: (for the first semester) This test is very AP like (but needs to fit into 90 min). It contains about 30 M.C. and 3 Free Response Items. Spring Note: Students have approimately 14 weeks at this time to prepare for the BC portion of the AP Calculus eam. IX. A Trig review and Calculus Inverse Trig Functions: Many Trig Inverse topics are reviewed in this section. o Rt Triangle Trig, Range of Inv. Functions, Basic Calculations and Properties Inverse Trigonometric Functions: Differentiation o All Si Trig Inv. Functions (Chain Rule is emphasized in this section) Inverse Trigonometric Functions: Integration du du du o,, a 2 2 a u u u a X. IntegrationTechniques, L Hôpital s Rule, and Improper Integrals Basic Integration Rules o A comprehension review Integration by Parts Trigonometric Integrals Trigonometric Substitution Partial Fractions Indeterminate Forms and L Hôpital s Rule Improper Integrals XI. Conics, Parametric Equations, and Polar Coordinates I switch and do this section first. (chapter 10 and chapter 9) Conics and Calculus o A review of the standard form of the different conic sections Plane Curves and Parametric Equations o Graphing with parametric equations o Eliminating the Parameter Parametric Equations and Calculus 2 dy d y o Finding and (also what these values mean with parametric 2 d d equations) o Identifying: velocity vectors and magnitude (speed) o Identifying: acceleration vectors and acceleration
6 o Arc Length of a Parametric Equation Polar Coordinates and Polar Graphs o Plotting Points o Sketching Graphs. o Converting between Rectangular and Polar o Identifying Basic Polar Graphs: Lines, Spirals, Circles, Rose Curves, Limacons and Cardiods. (the period of these graphs is stressed where appropriate) Area and Arc Length in Polar Coordinates o The upper and lower bounds for each of these formulas is stressed. MIDTERM EXAMINATION: This test is very AP like (but needs to fit into 90 min). It contains about 28 M.C. and 2 Free Response Items. X. Infinite Series (4 weeks) Sequences Series and Convergence o Finite and infinite series summation formulas The Integral Test and p-series o Also the harmonic series Comparisons of Series Alternating Series o Alternating series test o Identifying error bound when possible The Ratio and Root Tests Taylor Approimations Power Series o Radius and Interval of convergence Representation of Functions by Power Series Taylor and Maclaurin Series o Maclaurin series functions for: e,sin,cos and 1 - Identify interval 1 and radius of convergence for each. o Show basic differential and integral formations for these series o Lagrange error bound for Taylor polynomials Throughout the course, assessment is based on a spiral review of Pre-calculus and Calculus. Students are given a weekly quiz
Notes about changes to Approved Syllabus # 43080v2
Notes about changes to Approved Syllabus # 43080v2 1. An update to the syllabus was necessary because of a county wide adoption of new textbooks for AP Calculus. 2. No changes were made to the Course Outline
More informationAP Calculus BC Syllabus
AP Calculus BC Syllabus Course Overview and Philosophy This course is designed to be the equivalent of a college-level course in single variable calculus. The primary textbook is Calculus, 7 th edition,
More informationAP Calculus BC Scope & Sequence
AP Calculus BC Scope & Sequence Grading Period Unit Title Learning Targets Throughout the School Year First Grading Period *Apply mathematics to problems in everyday life *Use a problem-solving model that
More informationAP Calculus BC. Course Description:
AP Calculus BC Course Description: The two fundamental problems of Calculus include: 1) finding the slope of the tangent to a curve, determined by the derivative, and 2) finding the area of a region under
More informationAP Calculus B C Syllabus
AP Calculus B C Syllabus Course Textbook Finney, Ross L., et al. Calculus: Graphical, Numerical, Algebraic. Boston: Addison Wesley, 1999. Additional Texts & Resources Best, George, Stephen Carter, and
More informationAP Calculus BC. Course Overview. Course Outline and Pacing Guide
AP Calculus BC Course Overview AP Calculus BC is designed to follow the topic outline in the AP Calculus Course Description provided by the College Board. The primary objective of this course is to provide
More informationAP Calculus BC Syllabus Course Overview
AP Calculus BC Syllabus Course Overview Textbook Anton, Bivens, and Davis. Calculus: Early Transcendentals, Combined version with Wiley PLUS. 9 th edition. Hoboken, NJ: John Wiley & Sons, Inc. 2009. Course
More informationSyllabus for AP Calculus BC
Syllabus for AP Calculus BC Underlying Focus: The emphasis in AP Calculus is on an intuitive understanding of all concepts and the interplay between the geometric and analytic information and on the use
More informationCalculus. reparation for Calculus, Limits and Their Properties, and Differentiation. Gorman Learning Center (052344) Basic Course Information
Calculus Gorman Learning Center (052344) Basic Course Information Title: Calculus Transcript abbreviations: calcag / calc Length of course: Full Year Subject area: Mathematics ("c") / Calculus UC honors
More informationAP Calculus AB Syllabus
AP Calculus AB Syllabus Course Overview and Philosophy This course is designed to be the equivalent of a college-level course in single variable calculus. The primary textbook is Calculus of a Single Variable,
More informationSyllabus for AP Calculus BC Fall 2015
Syllabus for AP Calculus BC Fall 2015 Mr. Hadley michael.hadley@cobbk12.org Approach: I use a multirepresentational approach, The Rule of Five, to teach the concepts of calculus. I present topics graphically,
More informationAP Calculus AB. Syllabus. Course Overview and Philosophy. Course Planner:
AP Calculus AB Syllabus Course Overview and Philosophy We cover all topics in the Calculus AB topic outline in the AP Calculus Course Description, and we also include integration by parts, shell method,
More informationAP Calculus BC: Syllabus 3
AP Calculus BC: Syllabus 3 Scoring Components SC1 SC2 SC3 SC4 The course teaches Functions, Graphs, and Limits as delineated in the Calculus BC Topic The course teaches Derivatives as delineated The course
More informationB L U E V A L L E Y D I S T R I C T C U R R I C U L U M & I N S T R U C T I O N Mathematics AP Calculus BC
B L U E V A L L E Y D I S T R I C T C U R R I C U L U M & I N S T R U C T I O N Mathematics AP Calculus BC Weeks ORGANIZING THEME/TOPIC CONTENT CHAPTER REFERENCE FOCUS STANDARDS & SKILLS Analysis of graphs.
More informationCorrelation with College Board Advanced Placement Course Descriptions
Correlation with College Board Advanced Placement Course Descriptions The following tables show which sections of Calculus: Concepts and Applications cover each of the topics listed in the 2004 2005 Course
More informationBC Calculus Syllabus. Assessment Students are assessed in the following ways:
BC Calculus Syllabus Assessment Students are assessed in the following ways: Unit tests Project Problem Sessions Weekly assignments done outside of class that consist of problems from released Quizzes
More informationAP Calculus BC Syllabus
AP Calculus BC Syllabus Course Overview AP Calculus BC is the study of the topics covered in college-level Calculus I and Calculus II. This course includes instruction and student assignments on all of
More informationNJCCCS AREA: Mathematics. North Brunswick Township Public Schools AP CALCULUS BC. Acknowledgements. Anna Goncharova, Mathematics Teacher
NJCCCS AREA: Mathematics North Brunswick Township Public Schools AP CALCULUS BC Acknowledgements Anna Goncharova, Mathematics Teacher Diane M. Galella, Supervisor of Mathematics Date: New Revision May
More informationPETERS TOWNSHIP HIGH SCHOOL
PETERS TOWNSHIP HIGH SCHOOL COURSE SYLLABUS: AP CALCULUS BC Course Overview and Essential Skills AP Calculus BC is a challenging class which will prepare students to take the AP Calculus BC Exam in May
More informationAP Calculus BC Syllabus
Instructor: Jennifer Manzano-Tackett jennifer-manzano@scusd.edu (916) 395-5090 Ext. 506308 www.mt-jfk.com AP Calculus BC Syllabus Textbook: Calculus, 6th edition, by Larson, Hostetler and Edwards: Houghton
More informationAP Calculus AB. Course Overview. Course Outline and Pacing Guide
AP Calculus AB Course Overview AP Calculus AB is designed to follow the topic outline in the AP Calculus Course Description provided by the College Board. The primary objective of this course is to provide
More informationAP Calculus AB Syllabus
Introduction AP Calculus AB Syllabus Our study of calculus, the mathematics of motion and change, is divided into two major branches differential and integral calculus. Differential calculus allows us
More informationAcademic Content Standard MATHEMATICS. MA 51 Advanced Placement Calculus BC
Academic Content Standard MATHEMATICS MA 51 Advanced Placement Calculus BC Course #: MA 51 Grade Level: High School Course Name: Advanced Placement Calculus BC Level of Difficulty: High Prerequisites:
More informationAdvanced Placement Calculus II- What Your Child Will Learn
Advanced Placement Calculus II- What Your Child Will Learn Upon completion of AP Calculus II, students will be able to: I. Functions, Graphs, and Limits A. Analysis of graphs With the aid of technology,
More informationAP Calculus AB Course Outline
AP Calculus AB Course Outline Prerequisite: Satisfactory completion of: Geometry, Algebra II, and Pre-calculus Advanced Placement Calculus AB is designed as college-level Calculus I. Students are required
More informationSaxon Calculus Scope and Sequence
hmhco.com Saxon Calculus Scope and Sequence Foundations Real Numbers Identify the subsets of the real numbers Identify the order properties of the real numbers Identify the properties of the real number
More information*AP Calculus BC (#9550)
AASD MATHEMATICS CURRICULUM *AP Calculus BC (#9550) Description This course is an in-depth development and extension of the concepts of calculus that were introduced to the students in Introduction to
More informationHouston Independent School District AP CALCULUS AB COURSE SYLLABUS
AP Course Design and Philosophy In one high school year-long course, AP Calculus AB provides a semester or more of university-level calculus. As students of a university-level course, calculus students
More informationTopics Covered in Calculus BC
Topics Covered in Calculus BC Calculus BC Correlation 5 A Functions, Graphs, and Limits 1. Analysis of graphs 2. Limits or functions (including one sides limits) a. An intuitive understanding of the limiting
More informationCHAPTER 1 Prerequisites for Calculus 2. CHAPTER 2 Limits and Continuity 58
CHAPTER 1 Prerequisites for Calculus 2 1.1 Lines 3 Increments Slope of a Line Parallel and Perpendicular Lines Equations of Lines Applications 1.2 Functions and Graphs 12 Functions Domains and Ranges Viewing
More informationAP Calculus AB Syllabus
AP Calculus AB Syllabus Course Description: This is a college level course covering derivatives, integrals, limits, applications and modeling of these topics. Course Objectives: The objectives of this
More informationCALCULUS SEVENTH EDITION. Indiana Academic Standards for Calculus. correlated to the CC2
CALCULUS SEVENTH EDITION correlated to the Indiana Academic Standards for Calculus CC2 6/2003 2002 Introduction to Calculus, 7 th Edition 2002 by Roland E. Larson, Robert P. Hostetler, Bruce H. Edwards
More informationCHINO VALLEY UNIFIED SCHOOL DISTRICT INSTRUCTIONAL GUIDE CALCULUS BC ADVANCED PLACEMENT
CHINO VALLEY UNIFIED SCHOOL DISTRICT INSTRUCTIONAL GUIDE CALCULUS BC ADVANCED PLACEMENT Course Number 5125 Department Mathematics Prerequisites Successful completion of Honors Pre-Calculus or Trigonometry
More informationHarbor Creek School District
Unit 1 Days 1-9 Evaluate one-sided two-sided limits, given the graph of a function. Limits, Evaluate limits using tables calculators. Continuity Evaluate limits using direct substitution. Differentiability
More informationCurriculum and Pacing Guide Mr. White AP Calculus AB Revised May 2015
Curriculum and Pacing Guide Mr. White AP Calculus AB Revised May 2015 Students who successfully complete this course will receive one credit AP Calculus AB and will take the AP Calculus AB Exam. 1. The
More informationSyllabus for AP Calculus AB Spring 2015
Syllabus for AP Calculus AB Spring 2015 Mr. Hadley michael.hadley@cobbk12.org Approach: I use a multirepresentational approach, The Rule of Five, to teach the concepts of calculus. I present topics graphically,
More informationSyllabus for BC Calculus
Syllabus for BC Calculus Course Overview My students enter BC Calculus form an Honors Precalculus course which is extremely rigorous and we have 90 minutes per day for 180 days, so our calculus course
More informationCourse Syllabus BHS Room 309 (360)
AP Calculus Mrs. Stansbery Course Syllabus BHS Room 309 (360) 473-0875 sandra.stansbery@bremertonschools.org Classroom Expectations 1. Come to class on time and prepared to learn. Take care of locker visits,
More informationI. AP Calculus AB Major Topic: Functions, Graphs, and Limits
A.P. Calculus AB Course Description: AP Calculus AB is an extension of advanced mathematical concepts studied in Precalculus. Topics include continuity and limits, composite functions, and graphing. An
More informationMIDLAND ISD ADVANCED PLACEMENT CURRICULUM STANDARDS AP CALCULUS BC
Curricular Requirement 1: The course teaches all topics associated with Functions, Graphs, and Limits; Derivatives; Integrals; and Polynomial Approximations and Series as delineated in the Calculus BC
More informationMATHEMATICS AP Calculus (BC) Standard: Number, Number Sense and Operations
Standard: Number, Number Sense and Operations Computation and A. Develop an understanding of limits and continuity. 1. Recognize the types of nonexistence of limits and why they Estimation are nonexistent.
More informationUnit 1: Pre-Calculus Review (2 weeks) A. Lines 1. Slope as rate of change 2. Parallel and perpendicular lines 3. Equations of lines
Calculus AB Syllabus AB Course Outline The following is an outline of the topics we will cover and a typical sequence in which those topics will be covered. The time spent is only an estimate of the average
More informationTEXTBOOK: Calculus With Analytic Geometry by Roland Larson, Robert Hostetler, and Bruce Edwards; 6 th edition, 1998, Houghton ;Mifflin Company.
AP Calculus AB Syllabus. Kelli Gamez Warble 2009 Course Overiew COURSE FOCUS: the study of functions in a variety of representations (numerical, graphical, analytical, and verbal); the investigation of
More informationWest Windsor-Plainsboro Regional School District AP Calculus BC Grades 9-12
West Windsor-Plainsboro Regional School District AP Calculus BC Grades 9-12 Unit 1: Limits and Continuity What is a limit? Definition of limit, continuous, Sandwich Theorem, Intermediate Value Theorem
More informationCalculus: Graphical, Numerical, Algebraic 2012
A Correlation of Graphical, Numerical, Algebraic 2012 To the Advanced Placement (AP) Calculus AB/BC Standards Introduction The following correlation demonstrates the alignment of content between Graphical,
More informationRadnor High School Course Syllabus Advanced Placement Calculus BC 0460
Radnor High School Modified April 24, 2012 Course Syllabus Advanced Placement Calculus BC 0460 Credits: 1 Grades: 11, 12 Weighted: Yes Prerequisite: Recommended by Department Length: Year Format: Meets
More informationAP Calculus AB Course Syllabus
AP Calculus AB Course Syllabus Grant Community High School Mr. Rous Textbook Finney, Ross L., Franklin D. Demana, Bert K. Waits, and Daniel Kennedy. Calculus Graphical, Numerical, Algebraic, Fourth Addition,
More informationHUDSONVILLE HIGH SCHOOL COURSE FRAMEWORK
HUDSONVILLE HIGH SCHOOL COURSE FRAMEWORK COURSE / SUBJECT A P C a l c u l u s ( B C ) KEY COURSE OBJECTIVES/ENDURING UNDERSTANDINGS OVERARCHING/ESSENTIAL SKILLS OR QUESTIONS Limits and Continuity Derivatives
More informationAP Calculus AB Syllabus
AP Calculus AB Syllabus Overview AP Calculus AB is comparable to a calculus course in a college or university. Students are expected to seek college credit and/or college placement from colleges or universities
More informationCalculus Graphical, Numerical, Algebraic 2012
A Correlation of Graphical, Numerical, Algebraic 2012 To the Advanced Placement (AP)* AB/BC Standards Grades 9 12 *Advanced Placement, Advanced Placement Program, AP, and Pre-AP are registered trademarks
More informationGeneral Calculus II. Course Text. Course Description. Course Objectives. Course Prerequisites. Important Terms
Course Text General Calculus II Students may select any one of these texts aligned to this course: Larson, R., Hostetler, R. P., and Edwards, B. Calculus Early Transcendental Functions, 3rd edition. Houghton
More informationAP Calculus BC. Functions, Graphs, and Limits
AP Calculus BC The Calculus courses are the Advanced Placement topical outlines and prepare students for a successful performance on both the Advanced Placement Calculus exam and their college calculus
More informationWilliamsville C.U.S.D. #15 Mathematics Curriculum
MATHEMATICS CURRICULUM AP CALCULUS 1 Program Title: A.P. Calculus Williamsville C.U.S.D. #15 Mathematics Curriculum Program Description: Program Content: AP Calculus is a full-year course. This course
More informationAdvanced Placement Calculus Syllabus- BC
Advanced Placement Calculus Syllabus- BC Prerequisites All students should have completed four years of secondary mathematics designed for accelerated students. These should consist of the accelerated
More informationCalculus Graphical, Numerical, Algebraic AP Edition, Demana 2012
A Correlation of Graphical, Numerical, Algebraic AP Edition, Demana 2012 To the Advanced Placement AB/BC Standards Bid Category 13-100-40 AP is a trademark registered and/or owned by the College Board,
More informationBurlington County Institute of Technology Curriculum Document
Burlington County Institute of Technology Curriculum Document Course Title: Calculus Curriculum Area: Mathematics Credits: 5 Credits per course Board Approved: June 2017 Prepared by: Jessica Rista, John
More informationMathematics 1161: Midterm Exam 2 Study Guide
Mathematics 1161: Midterm Eam 2 Study Guide 1. Midterm Eam 2 is on October 18 at 6:00-6:55pm in Journalism Building (JR) 300. It will cover Sections 3.8, 3.9, 3.10, 3.11, 4.1, 4.2, 4.3, 4.4, 4.5, 4.6,
More informationMs. York s AP Calculus AB Class Room #: Phone #: Conferences: 11:30 1:35 (A day) 8:00 9:45 (B day)
Ms. York s AP Calculus AB Class Room #: 303 E-mail: hyork3@houstonisd.org Phone #: 937-239-3836 Conferences: 11:30 1:35 (A day) 8:00 9:45 (B day) Course Outline By successfully completing this course,
More informationCurriculum Catalog
2017-2018 Curriculum Catalog - for use with AP courses 2017 Glynlyon, Inc. Table of Contents CALCULUS COURSE OVERVIEW... 1 UNIT 1: GRAPHS AND LIMITS... 1 UNIT 2: DERIVATIVES... 2 UNIT 3: RELATED RATES...
More informationAdvanced Placement Calculus AB. South Texas ISD. Scope and Sequence with Learning Objectives
Advanced Placement Calculus AB South Texas ISD Scope and Sequence with Learning Objectives Advanced Placement Calculus AB Scope and Sequence - Year at a Glance AP Calculus AB - First Semester Three Weeks
More informationAP Calculus AB - Course Outline
By successfully completing this course, you will be able to: a. Work with functions represented in a variety of ways and understand the connections among these representations. b. Understand the meaning
More informationPRE-CALCULUS FORM IV. Textbook: Precalculus with Limits, A Graphing Approach. 4 th Edition, 2005, Larson, Hostetler & Edwards, Cengage Learning.
PRE-CALCULUS FORM IV Tetbook: Precalculus with Limits, A Graphing Approach. 4 th Edition, 2005, Larson, Hostetler & Edwards, Cengage Learning. Course Description: This course is designed to prepare students
More informationMTH 173 Calculus with Analytic Geometry I and MTH 174 Calculus with Analytic Geometry II
MTH 173 Calculus with Analytic Geometry I and MTH 174 Calculus with Analytic Geometry II Instructor: David H. Pleacher Home Phone: 869-4883 School Phone: 662-3471 Room: 212 E-Mail Address: Pleacher.David@wps.k12.va.us
More informationInstructional Unit: A. Approximate limits, derivatives, and definite integrals using numeric methods
Curriculum: AP Calculus AB-I Curricular Unit: Limits, Derivatives, and Integrals Instructional Unit: A. Approximate limits, derivatives, and definite integrals using numeric methods Description Section
More informationFairfield Public Schools
Mathematics Fairfield Public Schools AP Calculus BC AP Calculus BC BOE Approved 04/08/2014 1 AP CALCULUS BC Critical Areas of Focus Advanced Placement Calculus BC consists of a full year of college calculus.
More informationLAGUARDIA COMMUNITY COLLEGE CITY UNIVERSITY OF NEW YORK DEPARTMENT OF MATHEMATICS, ENGINEERING AND COMPUTER SCIENCE
LAGUARDIA COMMUNITY COLLEGE CITY UNIVERSITY OF NEW YORK DEPARTMENT OF MATHEMATICS, ENGINEERING AND COMPUTER SCIENCE MAT 201 - CALCULUS I PRE-REQUISITES: MAT 200 (PRECALCULUS) OR ITS EQUIVALENT BY WAIVER
More informationMathematics Scope & Sequence Calculus AB
Mathematics Scope & Sequence 2015-16 Calculus AB Revised: March 2015 First Six Weeks (29 ) Limits and Continuity Limits of (including onesided limits) An intuitive understanding of the limiting process
More informationPrentice Hall. Calculus: Graphical, Numerical, Algebraic National Advanced Placement Course Descriptions for Calculus BC.
Prentice Hall Grades 9-12 Calculus: Graphical, Numerical, Algebraic 2007 C O R R E L A T E D T O National Advanced Placement Course Descriptions for Calculus BC Grades 9-12 I Functions, Graphs, and Limits
More informationAP Calculus AB Course Description and Syllabus
AP Calculus AB Course Description and Syllabus Course Objective: This course is designed to prepare the students for the AP Exam in May. Students will learn to use graphical, numerical, verbal and analytical
More informationStandards for AP Calculus AB
I. Functions, Graphs and Limits Standards for AP Calculus AB A. Analysis of graphs. With the aid of technology, graphs of functions are often easy to produce. The emphasis is on the interplay between the
More informationMEDFORD HIGH SCHOOL COURSE SYLLABUS. Advanced Placement Calculus AB
MEDFORD HIGH SCHOOL COURSE SYLLABUS Department: Course Title: Mathematics Advanced Placement Calculus AB Level and/or Grade: AP; Grade 11/12 Prerequisite: B+ or better in Honors Pre-Calculus or teacher
More informationGreenwich Public Schools Mathematics Curriculum Objectives. Calculus
Mathematics Curriculum Objectives Calculus June 30, 2006 NUMERICAL AND PROPORTIONAL REASONING Quantitative relationships can be expressed numerically in multiple ways in order to make connections and simplify
More informationCalculus BC
Brief Description of Course Calculus BC 2007-2008 This course covers the topics limits, continuity, differentiation, antidifferentiation, definite integrals, techniques of integration, series and sequences,
More informationHelpful Concepts for MTH 261 Final. What are the general strategies for determining the domain of a function?
Helpful Concepts for MTH 261 Final What are the general strategies for determining the domain of a function? How do we use the graph of a function to determine its range? How many graphs of basic functions
More informationAdvanced Placement AB Calculus
Advanced Placement AB Calculus Performance Objectives and Time Table Text: Calculus, 8 th edition, by Howard Anton, Irl Bivens, Stephen Davis. John Wiley & Sons, Inc. 005 FIRST NINE WEEKS SECOND NINE WEEKS
More informationSchool District of Marshfield Course Syllabus
School District of Marshfield Course Syllabus Course Name: AP Calculus AB Honors Length of Course: 1 Year Credit: 1 Program Goal(s): The School District of Marshfield Mathematics Program will prepare students
More informationTopic Outline for Calculus BC
Techniques of antidifferentiation Antiderivatives following directly from derivatives of basic functions. Antiderivatives by substitution of variables (including change of limits for definite integrals).
More informationHUDSONVILLE HIGH SCHOOL COURSE FRAMEWORK
HUDSONVILLE HIGH SCHOOL COURSE FRAMEWORK COURSE / SUBJECT A P C a l c u l u s ( A B ) KEY COURSE OBJECTIVES/ENDURING UNDERSTANDINGS OVERARCHING/ESSENTIAL SKILLS OR QUESTIONS Limits and Continuity Derivatives
More informationdx dx x sec tan d 1 4 tan 2 2 csc d 2 ln 2 x 2 5x 6 C 2 ln 2 ln x ln x 3 x 2 C Now, suppose you had observed that x 3
CHAPTER 8 Integration Techniques, L Hôpital s Rule, and Improper Integrals Section 8. Partial Fractions Understand the concept of a partial fraction decomposition. Use partial fraction decomposition with
More informationAP Calculus BC Final Exam Preparatory Materials December 2016
AP Calculus BC Final Eam Preparatory Materials December 06 Your first semester final eam will consist of both multiple choice and free response questions, similar to the AP Eam The following practice problems
More informationGOVERNOR LIVINGSTON HIGH SCHOOL MATHEMATICS DEPARTMENT CALCULUS, AP CALCULUS AB/BC #MAY1212/MAY1130/MAY1131
BERKELEY HEIGHTS PUBLIC SCHOOLS BERKELEY HEIGHTS, NEW JERSEY GOVERNOR LIVINGSTON HIGH SCHOOL MATHEMATICS DEPARTMENT CALCULUS, AP CALCULUS AB/BC #MAY1212/MAY1130/MAY1131 Curriculum Guide November 2011 Mrs.
More informationAdvanced Placement Calculus I - What Your Child Will Learn
Advanced Placement Calculus I - What Your Child Will Learn I. Functions, Graphs, and Limits A. Analysis of graphs With the aid of technology, graphs of functions are often easy to produce. The emphasis
More informationAP Calculus Curriculum Guide Dunmore School District Dunmore, PA
AP Calculus Dunmore School District Dunmore, PA AP Calculus Prerequisite: Successful completion of Trigonometry/Pre-Calculus Honors Advanced Placement Calculus is the highest level mathematics course offered
More informationIndex. Excerpt from "Calculus" 2013 AoPS Inc. Copyrighted Material INDEX
Index #, 2 \, 5, 4 [, 4 - definition, 38 ;, 2 indeterminate form, 2 22, 24 indeterminate form, 22 23, see Euler s Constant 2, 2, see infinity, 33 \, 6, 3, 2 3-6-9 triangle, 2 4-dimensional sphere, 85 45-45-9
More informationAnswer Key 1973 BC 1969 BC 24. A 14. A 24. C 25. A 26. C 27. C 28. D 29. C 30. D 31. C 13. C 12. D 12. E 3. A 32. B 27. E 34. C 14. D 25. B 26.
Answer Key 969 BC 97 BC. C. E. B. D 5. E 6. B 7. D 8. C 9. D. A. B. E. C. D 5. B 6. B 7. B 8. E 9. C. A. B. E. D. C 5. A 6. C 7. C 8. D 9. C. D. C. B. A. D 5. A 6. B 7. D 8. A 9. D. E. D. B. E. E 5. E.
More informationAdvanced Placement Calculus AB/BC Standards
A Correlation of Calculus AP Edition, 2018 To the Advanced Placement Calculus AB/BC Standards AP is a trademark registered and/or owned by the College Board, which was not involved in the production of,
More informationRegion 16 Board of Education AP Calculus Curriculum 2008
Region 16 Board of Education AP Calculus Curriculum 2008 Course Description This course develops students understanding of the concepts of calculus and provides experience with its methods and applications.
More informationCalculus Course Description and Philosophy
Calculus Course Description and Philosophy The Math 5 Course presented at the high school level is intended to serve those students who have successfully completed Math 4 (Pre-calculus). The general aim
More informationPrentice Hall Calculus: Graphical, Numerical, and Algebraic AP* Student Edition 2007
Prentice Hall Calculus: Graphical, Numerical, and Algebraic AP* Student Edition 2007 C O R R E L A T E D T O AP Calculus AB Standards I Functions, Graphs, and Limits Analysis of graphs. With the aid of
More informationMIDLAND ISD ADVANCED PLACEMENT CURRICULUM STANDARDS AP CALCULUS AB
Curricular Requirement 1: The course teaches all topics associated with Functions, Graphs, and Limits; Derivatives; and Integrals as delineated in the Calculus AB Topic Outline in the AP Calculus Course
More informationFairfield Public Schools
Mathematics Fairfield Public Schools AP Calculus AB AP Calculus AB BOE Approved 04/08/2014 1 AP CALCULUS AB Critical Areas of Focus Advanced Placement Calculus AB consists of a full year of college calculus.
More informationAP Calculus Overview
AP Calculus Overview 2009-2010 Month Content Skills Assessment AUG.-SEPT. PreCalc Review - Reduce Rational Expressions - edhelper worksheet - Factor and solve Quadratic equations. - TM Algebra review Graph
More informationAP Calculus AB Syllabus
AP Calculus AB Syllabus Course Overview: All topics that are listed on the AP Central website for Calculus AB will be covered in this class and are listed below in the AP Calculus AB Course Outline. The
More informationSingle Variable Calculus, Early Transcendentals
Single Variable Calculus, Early Transcendentals 978-1-63545-100-9 To learn more about all our offerings Visit Knewtonalta.com Source Author(s) (Text or Video) Title(s) Link (where applicable) OpenStax
More information2007 ~ 2008 AP CALCULUS AB SYLLABUS
2007 ~ 2008 AP CALCULUS AB SYLLABUS Teacher: Mr. Leckie Room: 201 Course: AP Calculus AB Textbook: Calculus: Graphical, Numerical, Algebraic, 3 rd edition COURSE CONTENT: Calculus is the mathematics of
More informationAP CALCULUS AB Study Guide for Midterm Exam 2017
AP CALCULUS AB Study Guide for Midterm Exam 2017 CHAPTER 1: PRECALCULUS REVIEW 1.1 Real Numbers, Functions and Graphs - Write absolute value as a piece-wise function - Write and interpret open and closed
More informationTopic Subtopics Essential Knowledge (EK)
Unit/ Unit 1 Limits [BEAN] 1.1 Limits Graphically Define a limit (y value a function approaches) One sided limits. Easy if it s continuous. Tricky if there s a discontinuity. EK 1.1A1: Given a function,
More informationDue Date: Thursday, March 22, 2018
The Notebook Project AP Calculus AB This project is designed to improve study skills and organizational skills for a successful career in mathematics. You are to turn a composition notebook into a Go To
More informationWest Windsor-Plainsboro Regional School District AP Calculus AB Grades 9-12
West Windsor-Plainsboro Regional School District AP Calculus AB Grades 9-12 18 days Unit 1: Limits and Continuity What is a limit? The informal definition of a limit, definition of continuous Estimate
More informationTopic Outline AP CALCULUS AB:
Topic Outline AP CALCULUS AB: Unit 1: Basic tools and introduction to the derivative A. Limits and properties of limits Importance and novelty of limits Traditional definitions of the limit Graphical and
More information