Core Mathematics 3 A2 compulsory unit for GCE Mathematics and GCE Pure Mathematics Mathematics. Unit C3. C3.1 Unit description
|
|
- Domenic Carroll
- 5 years ago
- Views:
Transcription
1 Unit C3 Core Mathematics 3 A2 compulsory unit for GCE Mathematics and GCE Pure Mathematics Mathematics C3. Unit description Algebra and functions; trigonometry; eponentials and logarithms; differentiation; numerical methods. C3.2 Assessment information Prerequisites and preamble Prerequisites A knowledge of the specifications for C and C2, their preambles, prerequisites and associated formulae, is assumed and may be tested. Preamble Methods of proof, including proof by contradiction and disproof by counter-eample, are required. At least one question on the paper will require the use of proof. Eamination Calculators The eamination will consist of one ½ hour paper. It will contain about seven questions of varying length. The mark allocations per question which will be stated on the paper. All questions should be attempted. Students are epected to have available a calculator with at least the following keys: +,,,,, 2,,, y, ln,e,!, sine, cosine and tangent and their inverses in degrees and decimals of a degree, and in radians; memory. Calculators with a facility for symbolic algebra, differentiation and/or integration are not permitted. Edecel GCE in Mathematics Edecel Limited 2007 Section C 3
2 Unit C3 Core Mathematics C3 (A2) Formulae Formulae which students are epected to know are given below and these will not appear in the booklet, Mathematical Formulae including Statistical Formulae and Tables, which will be provided for use with the paper. Questions will be set in SI units and other units in common usage. This section lists formulae that students are epected to remember and that may not be included in formulae booklets. Trigonometry cos 2 A + sin 2 A sec 2 A + tan 2 A cosec 2 A + cot 2 A sin 2A 2 sina cos A cos2a cos 2 A sin 2 A 2 tan A tan 2A tan 2 A function sin k cos k e k ln f ( ) + g ( f ( ) g ( ) f (g () derivative k cos k kk sin ke k k f ( ) + g ( f ( g ( +f ( ) g ( f (g ( ) g ( 32 Section C Edecel Limited 2007 Edecel GCE in Mathematics
3 Core Mathematics C3 (A2) Unit C3 Algebra and functions Simplification of rational epressions including factorising and cancelling, and algebraic division. Denominators of rational epressions will be linear or quadratic, eg a + b, a + b 2 p + q + r Definition of a function. Domain and range of functions. Composition of functions. Inverse functions and their graphs. The concept of a function as a one-one or many-one mapping from (or a subset of ) to. The notation f : and f( will be used. Students should know that fg will mean do g first, then f. f Students should know that if f eists, then f f( = ff ( =. The modulus function. Combinations of the transformations y = f( as represented by y = af(( ), y = f( + a, y = f( + a), y = f(a ). Students should be able to sketch the graphs of y = a + b and the graphs of y = f( and y = f( ), given the graph of y = f( ). Students should be able to sketch the graph of, for eample, y = 2f(3, y = f( ) +, given the graph of y = f( or the graph of, for eample, y = 3 + sin 2, π y = cos + 4. The graph of y = f(a + b) will not be required. Edecel GCE in Mathematics Edecel Limited 2007 Section C 33
4 Unit C3 Core Mathematics C3 (A2) 2 Trigonometry Knowledge of secant, cosecant and cotangent and of arcsin, arccos and arctan. Their relationships to sine, cosine and tangent. Understanding of their graphs and appropriate restricted domains. Angles measured in both degrees and radians. Knowledge and use of sec 2 = + tan 2 and cosec 2 = + cot 2. Knowledge and use of double angle formulae; use of formulae for sin(a B), cos (A B) and tan (A B) and of epressions for a cos + b sin in the equivalent forms of r cos ( a) or r sin ( a). To include application to half angles. Knowledge of the t (tan θ ) 2 formulae will not be required. Students should be able to solve equations such as a cos + b sin = c in a given interval, and to prove simple identities such as cos cos 2 + sin sin 2 cos. 3 Eponentials and logarithms The function e and its graph. The function ln and its graph; ln as the inverse function of e. To include the graph of y = e a + b +c. Solution of equations of the form e a + b = p and ln (a + b) = q is epected. 34 Section C Edecel Limited 2007 Edecel GCE in Mathematics
5 Core Mathematics C3 (A2) Unit C3 4 Differentiation Differentiation of e, ln, sin, cos, tan and their sums and differences. Differentiation using the product rule, the quotient rule and the chain rule. The use of d y =. d d dy Differentiation of cosec, cot and sec are required. Skill will be epected in the differentiation of functions generated from standard forms using products, quotients and composition, such as 2 4 sin, e 3, cos 2 and tan 2 2. Eg finding d y d for = sin 3y. 5 Numerical methods Location of roots of f( = 0 by considering changes of sign of f( in an interval of in which f( ) is continuous. Approimate solution of equations using simple iterative methods, including recurrence relations of the form n+ = f( n ). Solution of equations by use of iterative procedures for which leads will be given. Edecel GCE in Mathematics Edecel Limited 2007 Section C 35
Core Mathematics 2 Unit C2 AS
Core Mathematics 2 Unit C2 AS compulsory unit for GCE AS and GCE Mathematics, GCE AS and GCE Pure Mathematics C2.1 Unit description Algebra and functions; coordinate geometry in the (, y) plane; sequences
More informationCore Mathematics C1 (AS) Unit C1
Core Mathematics C1 (AS) Unit C1 Algebraic manipulation of polynomials, including expanding brackets and collecting like terms, factorisation. Graphs of functions; sketching curves defined by simple equations.
More informationCore A-level mathematics reproduced from the QCA s Subject criteria for Mathematics document
Core A-level mathematics reproduced from the QCA s Subject criteria for Mathematics document Background knowledge: (a) The arithmetic of integers (including HCFs and LCMs), of fractions, and of real numbers.
More informationAlgebra and functions; coordinate geometry in the (x, y) plane; sequences and series; differentiation; integration; vectors.
Revision Checklist Unit C4: Core Mathematics 4 Unit description Assessment information Algebra and functions; coordinate geometry in the (x, y) plane; sequences and series; differentiation; integration;
More informationThe Big 50 Revision Guidelines for C3
The Big 50 Revision Guidelines for C3 If you can understand all of these you ll do very well 1. Know how to recognise linear algebraic factors, especially within The difference of two squares, in order
More informationCore 3 (A2) Practice Examination Questions
Core 3 (A) Practice Examination Questions Trigonometry Mr A Slack Trigonometric Identities and Equations I know what secant; cosecant and cotangent graphs look like and can identify appropriate restricted
More informationWeek beginning Videos Page
1 M Week beginning Videos Page June/July C3 Algebraic Fractions 3 June/July C3 Algebraic Division 4 June/July C3 Reciprocal Trig Functions 5 June/July C3 Pythagorean Identities 6 June/July C3 Trig Consolidation
More informationMathematics syllabus for Grade 11 and 12 For Bilingual Schools in the Sultanate of Oman
03 04 Mathematics syllabus for Grade and For Bilingual Schools in the Sultanate of Oman Prepared By: A Stevens (Qurum Private School) M Katira (Qurum Private School) M Hawthorn (Al Sahwa Schools) In Conjunction
More informationSpecification. GCE Mathematics
Specification GCE Mathematics Edexcel Advanced Subsidiary GCE in Mathematics (8371) Edexcel Advanced Subsidiary GCE in Further Mathematics (8372) Edexcel Advanced Subsidiary GCE in Pure Mathematics (8373)
More informationSummer Review Packet for Students Entering AP Calculus BC. Complex Fractions
Summer Review Packet for Students Entering AP Calculus BC Comple Fractions When simplifying comple fractions, multiply by a fraction equal to 1 which has a numerator and denominator composed of the common
More informationInverse Relations. 5 are inverses because their input and output are switched. For instance: f x x. x 5. f 4
Inverse Functions Inverse Relations The inverse of a relation is the set of ordered pairs obtained by switching the input with the output of each ordered pair in the original relation. (The domain of the
More informationMethods of Integration
Methods of Integration Essential Formulas k d = k +C sind = cos +C n d = n+ n + +C cosd = sin +C e d = e +C tand = ln sec +C d = ln +C cotd = ln sin +C + d = tan +C lnd = ln +C secd = ln sec + tan +C cscd
More informationFurther Pure Mathematics 3 GCE Further Mathematics GCE Pure Mathematics and Further Mathematics (Additional) A2 optional unit
Unit FP3 Further Pure Mathematics 3 GCE Further Mathematics GCE Pure Mathematics and Further Mathematics (Additional) A optional unit FP3.1 Unit description Further matrix algebra; vectors, hyperbolic
More informationCandidates are expected to have available a calculator. Only division by (x + a) or (x a) will be required.
Revision Checklist Unit C2: Core Mathematics 2 Unit description Algebra and functions; coordinate geometry in the (x, y) plane; sequences and series; trigonometry; exponentials and logarithms; differentiation;
More information(a) Show that there is a root α of f (x) = 0 in the interval [1.2, 1.3]. (2)
. f() = 4 cosec 4 +, where is in radians. (a) Show that there is a root α of f () = 0 in the interval [.,.3]. Show that the equation f() = 0 can be written in the form = + sin 4 Use the iterative formula
More informationTime: 1 hour 30 minutes
Paper Reference(s) 6665/0 Edecel GCE Core Mathematics C3 Gold Level (Hard) G Time: hour 30 minutes Materials required for eamination Mathematical Formulae (Green) Items included with question papers Nil
More informationPrecalculus Review. Functions to KNOW! 1. Polynomial Functions. Types: General form Generic Graph and unique properties. Constants. Linear.
Precalculus Review Functions to KNOW! 1. Polynomial Functions Types: General form Generic Graph and unique properties Constants Linear Quadratic Cubic Generalizations for Polynomial Functions - The domain
More informationWest Essex Regional School District. AP Calculus AB. Summer Packet
West Esse Regional School District AP Calculus AB Summer Packet 05-06 Calculus AB Calculus AB covers the equivalent of a one semester college calculus course. Our focus will be on differential and integral
More informationAP Calculus AB SUMMER ASSIGNMENT. Dear future Calculus AB student
AP Calculus AB SUMMER ASSIGNMENT Dear future Calculus AB student We are ecited to work with you net year in Calculus AB. In order to help you be prepared for this class, please complete the summer assignment.
More informationDEPARTMENT OF MATHEMATICS
DEPARTMENT OF MATHEMATICS A2 level Mathematics Core 3 course workbook 2015-2016 Name: Welcome to Core 3 (C3) Mathematics. We hope that you will use this workbook to give you an organised set of notes for
More informationCALCULUS: Graphical,Numerical,Algebraic by Finney,Demana,Watts and Kennedy Chapter 3: Derivatives 3.3: Derivative of a function pg.
CALCULUS: Graphical,Numerical,Algebraic b Finne,Demana,Watts and Kenned Chapter : Derivatives.: Derivative of a function pg. 116-16 What ou'll Learn About How to find the derivative of: Functions with
More informationPreview from Notesale.co.uk Page 2 of 42
. CONCEPTS & FORMULAS. INTRODUCTION Radian The angle subtended at centre of a circle by an arc of length equal to the radius of the circle is radian r o = o radian r r o radian = o = 6 Positive & Negative
More informationSYLLABUS FOR ENTRANCE EXAMINATION NANYANG TECHNOLOGICAL UNIVERSITY FOR INTERNATIONAL STUDENTS A-LEVEL MATHEMATICS
SYLLABUS FOR ENTRANCE EXAMINATION NANYANG TECHNOLOGICAL UNIVERSITY FOR INTERNATIONAL STUDENTS A-LEVEL MATHEMATICS STRUCTURE OF EXAMINATION PAPER. There will be one -hour paper consisting of 4 questions..
More informationPaper Reference. Core Mathematics C3 Advanced. Thursday 11 June 2009 Morning Time: 1 hour 30 minutes. Mathematical Formulae (Orange or Green)
Centre No. Candidate No. Paper Reference(s) 6665/01 Edecel GCE Core Mathematics C3 Advanced Thursday 11 June 009 Morning Time: 1 hour 30 minutes Materials required for eamination Mathematical Formulae
More informationFUNDAMENTAL TRIGONOMETRIC INDENTITIES 1 = cos. sec θ 1 = sec. = cosθ. Odd Functions sin( t) = sint. csc( t) = csct tan( t) = tant
NOTES 8: ANALYTIC TRIGONOMETRY Name: Date: Period: Mrs. Nguyen s Initial: LESSON 8.1 TRIGONOMETRIC IDENTITIES FUNDAMENTAL TRIGONOMETRIC INDENTITIES Reciprocal Identities sinθ 1 cscθ cosθ 1 secθ tanθ 1
More informationC3 Revision Questions. (using questions from January 2006, January 2007, January 2008 and January 2009)
C3 Revision Questions (using questions from January 2006, January 2007, January 2008 and January 2009) 1 2 1. f(x) = 1 3 x 2 + 3, x 2. 2 ( x 2) (a) 2 x x 1 Show that f(x) =, x 2. 2 ( x 2) (4) (b) Show
More informationYEAR 13 - Mathematics Pure (C3) Term 1 plan
Week Topic YEAR 13 - Mathematics Pure (C3) Term 1 plan 2016-2017 1-2 Algebra and functions Simplification of rational expressions including factorising and cancelling. Definition of a function. Domain
More informationRevision Checklist. Unit FP3: Further Pure Mathematics 3. Assessment information
Revision Checklist Unit FP3: Further Pure Mathematics 3 Unit description Further matrix algebra; vectors, hyperbolic functions; differentiation; integration, further coordinate systems Assessment information
More informationAP Calculus AB Summer Assignment School Year
AP Calculus AB Summer Assignment School Year 018-019 Objective of the summer assignment: The AP Calculus summer assignment is designed to serve as a review for many of the prerequisite math skills required
More information6665/01 Edexcel GCE Core Mathematics C3 Bronze Level B3
Paper Reference(s) 6665/0 Edecel GCE Core Mathematics C3 Bronze Level B3 Time: hour 30 minutes Materials required for eamination papers Mathematical Formulae (Green) Items included with question Nil Candidates
More informationSummer AP Assignment Coversheet Falls Church High School
Summer AP Assignment Coversheet Falls Church High School Course: AP Calculus AB Teacher Name/s: Veronica Moldoveanu, Ethan Batterman Assignment Title: AP Calculus AB Summer Packet Assignment Summary/Purpose:
More informationPearson Edexcel Level 3 Advanced Subsidiary GCE in Mathematics (8MA0) Pearson Edexcel Level 3 Advanced GCE in Mathematics (9MA0)
Pearson Edexcel Level 3 Advanced Subsidiary GCE in Mathematics (8MA0) Pearson Edexcel Level 3 Advanced GCE in Mathematics (9MA0) First teaching from September 2017 First certification from June 2018 2
More informationAttn: Upcoming Functions Analytic Geometry students,
Attn: Upcoming Functions Analtic Geometr students, All Functions Analtic Geometr students should complete this assignment prior to the first da of class. During the first week of school, time will be spent
More informationTOTAL NAME DATE PERIOD AP CALCULUS AB UNIT 4 ADVANCED DIFFERENTIATION TECHNIQUES DATE TOPIC ASSIGNMENT /6 10/8 10/9 10/10 X X X X 10/11 10/12
NAME DATE PERIOD AP CALCULUS AB UNIT ADVANCED DIFFERENTIATION TECHNIQUES DATE TOPIC ASSIGNMENT 0 0 0/6 0/8 0/9 0/0 X X X X 0/ 0/ 0/5 0/6 QUIZ X X X 0/7 0/8 0/9 0/ 0/ 0/ 0/5 UNIT EXAM X X X TOTAL AP Calculus
More informationTime: 1 hour 30 minutes
Paper Reference(s) 6665/01 Edecel GCE Core Mathematics C Silver Level S Time: 1 hour 0 minutes Materials required for eamination papers Mathematical Formulae (Green) Items included with question Nil Candidates
More informationADDITIONAL MATHEMATICS
ADDITIONAL MATHEMATICS GCE NORMAL ACADEMIC LEVEL (016) (Syllabus 4044) CONTENTS Page INTRODUCTION AIMS ASSESSMENT OBJECTIVES SCHEME OF ASSESSMENT 3 USE OF CALCULATORS 3 SUBJECT CONTENT 4 MATHEMATICAL FORMULAE
More information11.4. Differentiating ProductsandQuotients. Introduction. Prerequisites. Learning Outcomes
Differentiating ProductsandQuotients 11.4 Introduction We have seen, in the first three Sections, how standard functions like n, e a, sin a, cos a, ln a may be differentiated. In this Section we see how
More information90 Chapter 5 Logarithmic, Exponential, and Other Transcendental Functions. Name Class. (a) (b) ln x (c) (a) (b) (c) 1 x. y e (a) 0 (b) y.
90 Chapter 5 Logarithmic, Eponential, and Other Transcendental Functions Test Form A Chapter 5 Name Class Date Section. Find the derivative: f ln. 6. Differentiate: y. ln y y y y. Find dy d if ey y. y
More informationTHEOREM: THE CONSTANT RULE
MATH /MYERS/ALL FORMULAS ON THIS REVIEW MUST BE MEMORIZED! DERIVATIVE REVIEW THEOREM: THE CONSTANT RULE The erivative of a constant function is zero. That is, if c is a real number, then c 0 Eample 1:
More informationNYS Algebra II and Trigonometry Suggested Sequence of Units (P.I's within each unit are NOT in any suggested order)
1 of 6 UNIT P.I. 1 - INTEGERS 1 A2.A.1 Solve absolute value equations and inequalities involving linear expressions in one variable 1 A2.A.4 * Solve quadratic inequalities in one and two variables, algebraically
More informationSummer AP Assignment Coversheet Falls Church High School
Summer AP Assignment Coversheet Falls Church High School Course: AP Calculus AB Teacher Name/s: Veronica Moldoveanu, Ethan Batterman Assignment Title: AP Calculus AB Summer Packet Assignment Summary/Purpose:
More informationMath 121: Calculus 1 - Fall 2013/2014 Review of Precalculus Concepts
Introduction Math 121: Calculus 1 - Fall 201/2014 Review of Precalculus Concepts Welcome to Math 121 - Calculus 1, Fall 201/2014! This problems in this packet are designed to help you review the topics
More informationTime: 1 hour 30 minutes
Paper Reference(s) 6665/01 Edecel GCE Core Mathematics C3 Gold Level (Harder) G3 Time: 1 hour 30 minutes Materials required for eamination Mathematical Formulae (Green) Items included with question papers
More informationTRIG REVIEW NOTES. Co-terminal Angles: Angles that end at the same spot. (sines, cosines, and tangents will equal)
TRIG REVIEW NOTES Convert from radians to degrees: multiply by 0 180 Convert from degrees to radians: multiply by 0. 180 Co-terminal Angles: Angles that end at the same spot. (sines, cosines, and tangents
More informationAP Calculus BC Summer Assignment 2018
AP Calculus BC Summer Assignment 018 Name: When you come back to school, I will epect you to have attempted every problem. These skills are all different tools that we will pull out of our toolbo at different
More informationCalculus 1 (AP, Honors, Academic) Summer Assignment 2018
Calculus (AP, Honors, Academic) Summer Assignment 08 The summer assignments for Calculus will reinforce some necessary Algebra and Precalculus skills. In order to be successful in Calculus, you must have
More informationDIFFERENTIATION RULES
3 DIFFERENTIATION RULES DIFFERENTIATION RULES 3.6 Derivatives of Logarithmic Functions In this section, we: use implicit differentiation to find the derivatives of the logarithmic functions and, in particular,
More informationMath 121: Calculus 1 - Fall 2012/2013 Review of Precalculus Concepts
Introduction Math 11: Calculus 1 - Fall 01/01 Review of Precalculus Concepts Welcome to Math 11 - Calculus 1, Fall 01/01! This problems in this packet are designed to help you review the topics from Algebra
More information(ii) y = ln 1 ] t 3 t x x2 9
Study Guide for Eam 1 1. You are supposed to be able to determine the domain of a function, looking at the conditions for its epression to be well-defined. Some eamples of the conditions are: What is inside
More informationMath Section 4.3 Unit Circle Trigonometry
Math 10 - Section 4. Unit Circle Trigonometry An angle is in standard position if its vertex is at the origin and its initial side is along the positive x axis. Positive angles are measured counterclockwise
More informationIn this note we will evaluate the limits of some indeterminate forms using L Hôpital s Rule. Indeterminate Forms and 0 0. f(x)
L Hôpital s Rule In this note we will evaluate the its of some indeterminate forms using L Hôpital s Rule. Indeterminate Forms and 0 0 f() Suppose a f() = 0 and a g() = 0. Then a g() the indeterminate
More informationSection Inverse Trigonometry. In this section, we will define inverse since, cosine and tangent functions. x is NOT one-to-one.
Section 5.4 - Inverse Trigonometry In this section, we will define inverse since, cosine and tangent functions. RECALL Facts about inverse functions: A function f ) is one-to-one if no two different inputs
More informationAP Calculus AB Summer Assignment
Name: AP Calculus AB Summer Assignment Due Date: The beginning of class on the last class day of the first week of school. The purpose of this assignment is to have you practice the mathematical skills
More informationUsing the Definitions of the Trigonometric Functions
1.4 Using the Definitions of the Trigonometric Functions Reciprocal Identities Signs and Ranges of Function Values Pythagorean Identities Quotient Identities February 1, 2013 Mrs. Poland Objectives Objective
More informationAPPLICATIONS OF DIFFERENTIATION
4 APPLICATIONS OF DIFFERENTIATION APPLICATIONS OF DIFFERENTIATION 4.4 Indeterminate Forms and L Hospital s Rule In this section, we will learn: How to evaluate functions whose values cannot be found at
More informationComposition of and the Transformation of Functions
1 3 Specific Outcome Demonstrate an understanding of operations on, and compositions of, functions. Demonstrate an understanding of the effects of horizontal and vertical translations on the graphs of
More informationCore Mathematics C3 Advanced Level
Paper Reference(s) 666/0 Edecel GCE Core Mathematics C Advanced Level Wednesda 0 Januar 00 Afternoon Time: hour 0 minutes Materials required for eamination Mathematical Formulae (Pink or Green) Items included
More information1 Chapter 2 Perform arithmetic operations with polynomial expressions containing rational coefficients 2-2, 2-3, 2-4
NYS Performance Indicators Chapter Learning Objectives Text Sections Days A.N. Perform arithmetic operations with polynomial expressions containing rational coefficients. -, -5 A.A. Solve absolute value
More informationabc Mathematics Pure Core General Certificate of Education SPECIMEN UNITS AND MARK SCHEMES
abc General Certificate of Education Mathematics Pure Core SPECIMEN UNITS AND MARK SCHEMES ADVANCED SUBSIDIARY MATHEMATICS (56) ADVANCED SUBSIDIARY PURE MATHEMATICS (566) ADVANCED SUBSIDIARY FURTHER MATHEMATICS
More informationAnalytic Trigonometry
0 Analytic Trigonometry In this chapter, you will study analytic trigonometry. Analytic trigonometry is used to simplify trigonometric epressions and solve trigonometric equations. In this chapter, you
More informationMath 121: Calculus 1 - Winter 2012/2013 Review of Precalculus Concepts
Introduction Math 11: Calculus 1 - Winter 01/01 Review of Precalculus Concepts Welcome to Math 11 - Calculus 1, Winter 01/01! This problems in this packet are designed to help you review the topics from
More information4-3 Trigonometric Functions on the Unit Circle
Find the exact value of each trigonometric function, if defined. If not defined, write undefined. 9. sin The terminal side of in standard position lies on the positive y-axis. Choose a point P(0, 1) on
More informationName: Math Analysis Chapter 3 Notes: Exponential and Logarithmic Functions
Name: Math Analysis Chapter 3 Notes: Eponential and Logarithmic Functions Day : Section 3-1 Eponential Functions 3-1: Eponential Functions After completing section 3-1 you should be able to do the following:
More informationPaper Reference. Paper Reference(s) 6665/01 Edexcel GCE Core Mathematics C3 Advanced Level. Thursday 18 January 2007 Afternoon Time: 1 hour 30 minutes
Centre No. Candidate No. Paper Reference(s) 6665/01 Edexcel GCE Core Mathematics C3 Advanced Level Thursday 18 January 2007 Afternoon Time: 1 hour 30 minutes Materials required for examination Mathematical
More informationPaper Reference. Core Mathematics C3 Advanced Level. Thursday 18 January 2007 Afternoon Time: 1 hour 30 minutes. Mathematical Formulae (Green)
Centre No. Candidate No. Paper Reference(s) 6665/01 Edexcel GCE Core Mathematics C3 Advanced Level Thursday 18 January 007 Afternoon Time: 1 hour 30 minutes Materials required for examination Mathematical
More informationIntroduction 1. Specification overview 6
EDEXCEL GCE Edexcel Advanced Subsidiary GCE in Mathematics (8371) Further Mathematics (837) Pure Mathematics (8373) For teaching from September 004 First award in January 005 Edexcel Advanced GCE in Mathematics
More informationSOLVING QUADRATICS. Copyright - Kramzil Pty Ltd trading as Academic Teacher Resources
SOLVING QUADRATICS Copyright - Kramzil Pty Ltd trading as Academic Teacher Resources SOLVING QUADRATICS General Form: y a b c Where a, b and c are constants To solve a quadratic equation, the equation
More informationThe American School of Marrakesh. AP Calculus AB Summer Preparation Packet
The American School of Marrakesh AP Calculus AB Summer Preparation Packet Summer 2016 SKILLS NEEDED FOR CALCULUS I. Algebra: *A. Exponents (operations with integer, fractional, and negative exponents)
More informationCK- 12 Algebra II with Trigonometry Concepts 1
14.1 Graphing Sine and Cosine 1. A.,1 B. (, 1) C. 3,0 D. 11 1, 6 E. (, 1) F. G. H. 11, 4 7, 1 11, 3. 3. 5 9,,,,,,, 4 4 4 4 3 5 3, and, 3 3 CK- 1 Algebra II with Trigonometry Concepts 1 4.ans-1401-01 5.
More informationFox Lane High School Department of Mathematics
Fo Lane High School Department of Mathematics June 08 Hello Future AP Calculus AB Student! This is the summer assignment for all students taking AP Calculus AB net school year. It contains a set of problems
More informationUnit 10 Prerequisites for Next Year (Calculus)
Unit 0 Prerequisites for Net Year (Calculus) The following Study Guide is the required INDEPENDENT review for you to work through for your final unit. You WILL have a test that covers this material after
More informationDISTRIBUTED LEARNING
DISTRIBUTED LEARNING RAVEN S WNCP GRADE 12 MATHEMATICS BC Pre Calculus Math 12 Alberta Mathematics 0 1 Saskatchewan Pre Calculus Math 0 Manitoba Pre Calculus Math 40S STUDENT GUIDE AND RESOURCE BOOK The
More informationFUNCTIONS AND MODELS
1 FUNCTIONS AND MODELS FUNCTIONS AND MODELS 1.6 Inverse Functions and Logarithms In this section, we will learn about: Inverse functions and logarithms. INVERSE FUNCTIONS The table gives data from an experiment
More informationSec 4 Maths. SET A PAPER 2 Question
S4 Maths Set A Paper Question Sec 4 Maths Exam papers with worked solutions SET A PAPER Question Compiled by THE MATHS CAFE 1 P a g e Answer all the questions S4 Maths Set A Paper Question Write in dark
More informationSANDY CREEK HIGH SCHOOL
SANDY CREEK HIGH SCHOOL SUMMER REVIEW PACKET For students entering A.P. CALCULUS AB I epect everyone to check the Google classroom site and your school emails at least once every two weeks. You should
More informationReview of Essential Skills and Knowledge
Review of Essential Skills and Knowledge R Eponent Laws...50 R Epanding and Simplifing Polnomial Epressions...5 R 3 Factoring Polnomial Epressions...5 R Working with Rational Epressions...55 R 5 Slope
More informationAs we know, the three basic trigonometric functions are as follows: Figure 1
Trigonometry Basic Functions As we know, the three basic trigonometric functions are as follows: sin θ = cos θ = opposite hypotenuse adjacent hypotenuse tan θ = opposite adjacent Where θ represents an
More informationRegent College Maths Department. Core Mathematics 4 Trapezium Rule. C4 Integration Page 1
Regent College Maths Department Core Mathematics Trapezium Rule C Integration Page Integration It might appear to be a bit obvious but you must remember all of your C work on differentiation if you are
More informationAP Calculus (AB/BC) Prerequisite Packet Paint Branch High School Math Department
Updated 6/015 The problems in this packet are designed to help ou review topics from previous math courses that are important to our success in AP Calculus AB / BC. It is important that ou take time during
More informationMath Section 4.3 Unit Circle Trigonometry
Math 10 - Section 4. Unit Circle Trigonometry An angle is in standard position if its vertex is at the origin and its initial side is along the positive x axis. Positive angles are measured counterclockwise
More informationMATH 175: Final Exam Review for Pre-calculus
MATH 75: Final Eam Review for Pre-calculus In order to prepare for the final eam, you need too be able to work problems involving the following topics:. Can you graph rational functions by hand after algebraically
More informationAPPLICATIONS OF DIFFERENTIATION
4 APPLICATIONS OF DIFFERENTIATION APPLICATIONS OF DIFFERENTIATION 4.4 Indeterminate Forms and L Hospital s Rule In this section, we will learn: How to evaluate functions whose values cannot be found at
More information0 Review of Precalculus Topics
0 Review of Precalculus Topics 0. The Basics Set Notation.. a A means that a is an element in the set A.. a/ A means that a is not an element in the set A.. For sets A and B we write A = B to mean that
More information5.3 Properties of Trigonometric Functions Objectives
Objectives. Determine the Domain and Range of the Trigonometric Functions. 2. Determine the Period of the Trigonometric Functions. 3. Determine the Signs of the Trigonometric Functions in a Given Quadrant.
More informationAlgebra/Pre-calc Review
Algebra/Pre-calc Review The following pages contain various algebra and pre-calculus topics that are used in the stud of calculus. These pages were designed so that students can refresh their knowledge
More informationMATH 175: Final Exam Review for Pre-calculus
MATH 75: Final Eam Review for Pre-calculus In order to prepare for the final eam, you need to be able to work problems involving the following topics:. Can you find and simplify the composition of two
More informationSolutions to Problem Sheet for Week 6
THE UNIVERSITY OF SYDNEY SCHOOL OF MATHEMATICS AND STATISTICS Solutions to Problem Sheet for Week 6 MATH90: Differential Calculus (Advanced) Semester, 07 Web Page: sydney.edu.au/science/maths/u/ug/jm/math90/
More informationPaper Reference. Paper Reference(s) 6665/01 Edexcel GCE Core Mathematics C3 Advanced. Friday 6 June 2008 Afternoon Time: 1 hour 30 minutes
Centre No. Candidate No. Paper Reference(s) 6665/01 Edexcel GCE Core Mathematics C3 Advanced Friday 6 June 2008 Afternoon Time: 1 hour 30 minutes Materials required for examination Mathematical Formulae
More informationMcKinney High School AP Calculus Summer Packet
McKinne High School AP Calculus Summer Packet (for students entering AP Calculus AB or AP Calculus BC) Name:. This packet is to be handed in to our Calculus teacher the first week of school.. ALL work
More informationSET 1. (1) Solve for x: (a) e 2x = 5 3x
() Solve for x: (a) e x = 5 3x SET We take natural log on both sides: ln(e x ) = ln(5 3x ) x = 3 x ln(5) Now we take log base on both sides: log ( x ) = log (3 x ln 5) x = log (3 x ) + log (ln(5)) x x
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 informationPaper Reference. Paper Reference(s) 6665/01 Edexcel GCE Core Mathematics C3 Advanced Level. Monday 12 June 2006 Afternoon Time: 1 hour 30 minutes
Centre No. Candidate No. Paper Reference(s) 6665/01 Edexcel GCE Core Mathematics C3 Advanced Level Monday 12 June 2006 Afternoon Time: 1 hour 30 minutes Materials required for examination Mathematical
More informationChapter 2 Derivatives
Chapter Derivatives Section. An Intuitive Introuction to Derivatives Consier a function: Slope function: Derivative, f ' For each, the slope of f is the height of f ' Where f has a horizontal tangent line,
More informationCore Mathematics C3 Advanced Subsidiary
Paper Reference(s) 6665/0 Edecel GCE Core Mathematics C Advanced Subsidiary Thursday June 0 Morning Time: hour 0 minutes Materials required for eamination Mathematical Formulae (Pink) Items included with
More informationCHINO VALLEY UNIFIED SCHOOL DISTRICT INSTRUCTIONAL GUIDE TRIGONOMETRY / PRE-CALCULUS
CHINO VALLEY UNIFIED SCHOOL DISTRICT INSTRUCTIONAL GUIDE TRIGONOMETRY / PRE-CALCULUS Course Number 5121 Department Mathematics Qualification Guidelines Successful completion of both semesters of Algebra
More informationTroy High School AP Calculus Summer Packet
Troy High School AP Calculus Summer Packet As instructors of AP Calculus, we have etremely high epectations of students taking our courses. We epect a certain level of independence to be demonstrated by
More information6.5 Trigonometric Equations
6. Trigonometric Equations In this section, we discuss conditional trigonometric equations, that is, equations involving trigonometric functions that are satisfied only by some values of the variable (or
More informationAdvanced Calculus BC Summer Work Due: 1 st Day of School
Dear Calculus BC student, I hope that ou re all enjoing our first few das of summer! Here s something that will make it a little more fun! Enclosed ou will find a packet of review questions that ou should
More informationHonors Calculus Summer Preparation 2018
Honors Calculus Summer Preparation 08 Name: ARCHBISHOP CURLEY HIGH SCHOOL Honors Calculus Summer Preparation 08 Honors Calculus Summer Work and List of Topical Understandings In order to be a successful
More informationMassey Hill Classical High School
Massey Hill Classical High School AB Calculus AP Prerequisite Packet To: From: AP Calculus AB Students and Parents Carolyn Davis, AP Calculus Instructor The AP Course: AP Calculus AB is a college level
More information