Calculus and Vectors
Course-Outline-MCV-4U.doc
Test Dates: Tuesday May 29Wednesday May 6Summative-Test Rewrite: Tuesday June12Remember...
every test is Smartiable!
Newtons-Method.docNewtons-method-assignment.docNewtons-method-to-find-square-roots-assignment.docUnit 1
Rates of Change & Limits
Day
Topic
Follow Up
1
Prerequisite Skills1---1---Prerequisite-Skills.doc
Page 2 # 1-12
Assignment Page 3 # 13, 14
2
Rates of Change1---2---Rates-of-Change.doc
Page 20 # 1, 2, 14
3
Limits1---3---Limits.doc
Worksheet1---3---limits-worksheet.doc1---3---limits-worksheet-solutions.doc
4
Limits and Continuity1---4---Limits-and-Continuity.doc
Page 451 # 8 – 14
Assignment Page 46 # 18
5
First Principles & the Equation of a Tangent1---5---First-Principles.doc
Page 59 # 14, 16
Assignment - HandoutEquation-of-tangent-assign.doc
6
Review
Page 64 #3, 8b, 9, 11
7
Test
Unit 2
Derivatives
Power Rule2---1---Power-Rule.doc
Page 83 # 2, 4, 5, 13, 14, 27
Derivative of a Polynomial Function AssignmentDerivatives-of-a-Polynomial-Function-Assignment.doc
The Product Rule2---2---The-Product-Rule.doc
Page 93 #2, 6 ac, 7 ac, 9bd
Velocity, Acceleration and f”2---3---velocity-acceleration-and-f.doc
Page 107 # 3ac, 4ac, 12, 16
Velocity & Acceleration AssignmentVelocity-and-Acceleration-Assignment-2.doc
The Quotient Rule2---4---The-Quotient-Rule.doc
Page 129 # 1, 2, 3ac
The Chain Rule2---5---The-Chain-Rule.doc
Page 118 # 3, 4ac, 5ac, 7ac
Derivatives AssignmentDerivatives-Assignment.doc
Page 142 # 1, 3-6, 9-12
Unit 3
Related Rates Problems
Related Rate Problems
3---1---related-rates.doc
Page 137 # 1-3, 9-11
More problems
Worksheet
Related-Rates-Worksheet.docRelated-Rates-Worksheet-Solutions.doc
Related-Rates-Worksheet-2.docRelated-Rates-Worksheet-2-Solutions.doc
Assignment3---Related-Rates-Assignment-2.doc
3---2---Related-Rate-Review-Questions.doc
March 9, 2012
Unit 4
Graphing Functions
Increasing and Decreasing Functions4---1---Increasing-Decreasing-Intervals.doc
Workbook
Page 49 # 1,2
Maxima and Minima4---2---Maximum-and-Minimum-Values.doc
Page 52 #2 ace, 3ace, 4ace, 7ac, 14-16
Page 59 #3
Concavity and the 2ndDerivative Test4---3---Concavity.doc
Page 57 #8, 9
Page 60 # 9, 10
Asymptotes4---4---Asymptotes.doc
Page 59 # 1aceg, 2aceg
Page 60 #11
Curve Sketching4---5---Curve-Sketching.doc
Page 62 #20
Page 64 # 8ace
Page 63 #1, 2, 4
Assignment4---Curve-Sketching-Assignment-2.doc
Unit 5
Optimization Problems
Day Topic Follow Up 1 Optimization Problems5---1---Optimization.doc Page 203 # 1-9, 11-17 2 Work Period(s)5---Optimization-Problems.doc5---optimization-problems-in-business-and-economics.doc 5---Optimization-Assignment.doc 3 Review 4 Test
Optimization Problems5---1---Optimization.doc
Page 203 # 1-9, 11-17
Work Period(s)5---Optimization-Problems.doc5---optimization-problems-in-business-and-economics.doc
5---Optimization-Assignment.doc
Unit 6
Trigonometry
Day Topic Follow Up 1 Trigonometry6---1---Trigonometry.doc Page 225 # 2-4 Page 231 # 1-4 2 Trigonometry Applications6---2---Trigonometry-Applications.doc Workbook Page 73 # 6ace, 8a Page 78 # 1, 2 3 Assignment 6---trig-assignment.doc 4 Review Page 244 # 3 – 9a 5 Test
Trigonometry6---1---Trigonometry.doc
Page 225 # 2-4
Page 231 # 1-4
Trigonometry Applications6---2---Trigonometry-Applications.doc
Page 73 # 6ace, 8a
Page 78 # 1, 2
Assignment
6---trig-assignment.doc
Page 244 # 3 – 9a
Unit 7
Exponential & Logarithmic Functions
Derivatives of Exponential Functions7---1---Derivatives-of-Exponential-Functions.doc
Page 250 # 7 – 11
Page 274 # 1
Page 282 # 2, 3
Derivatives of Logarithmic Functions7---2---Derivatives-of-Logarithmic-Functions.doc
Worksheet7---2---Derivatives-of-Logarithmic-Functions-Worksheet.doc
Logarithmic Differentiation7---3---Logarithmic-Differentiation.doc
Worksheet7---3---Logarithmic-Differentiation-Worksheet.doc
Exponential and Log Derivative Applications7---4---Exponential-and-Log-Derivative-Applications.doc
Page 274 # 4,5
Page 282 #4.5
Worksheet7---4---Exponential-and-Log-Derivative-Applications-Worksheet.doc
Review7---5---Review.doc
Page 296 # 5 -7, 9, 12, 15
Unit 8
Geometric Vectors
Day Topic Follow Up 1 Introduction to Vectors8---1---Introduction-to-Vectors.doc Page 310 # 1, 3-9 2 Adding Vectors8---2---Adding-Vectors.doc Page 325 # 1, 3, 5, 9, 138---page-325.doc 3 Applications8---3---Applications.doc Page 343 # 1, 2, 3 ab, 4, 5, 7, 8, 118---page-343.doc 4 Resolution of Vectors into Rectangular Components8---4---Resolution-of-Vectors.doc Page 349 # 1, 2, 58---page-349.doc 5 Review 6 Test
Introduction to Vectors8---1---Introduction-to-Vectors.doc
Page 310 # 1, 3-9
Adding Vectors8---2---Adding-Vectors.doc
Page 325 # 1, 3, 5, 9, 138---page-325.doc
Applications8---3---Applications.doc
Page 343 # 1, 2, 3 ab, 4, 5, 7, 8, 118---page-343.doc
Resolution of Vectors into Rectangular Components8---4---Resolution-of-Vectors.doc
Page 349 # 1, 2, 58---page-349.doc
Unit 9
Cartesian Vectors
Cartesian Vectors9---1---Cartesian-Vectors.doc
Page 367 # 3, 4, 7, 9, 10, 13page-367.doc
The Dot Product9---2---Dot-Product.doc
Page 375 # 1, 2, 4, 8a, 11, 12page-375.doc
Applications9---3---Applications-of-the-Dot-Product.doc
Page 384 # 1 – 6, 8, 9, 15page-384.doc
Vectors in 3-Space9---4---Vectors-in-Three-Space.doc
Page 399 # 10-16page-399.doc
The Cross Product9---5---Cross-Product.doc
Page 410 # 1-4, 7, 12page-410.pdf
Applications of Dot & Cross Products9---6---Applications-of.doc
Page 418 # 2, 4, 5, 9page-418.doc
Page 420 # 2 - 16
8
Unit 10
Lines and Planes
Equations of Lines in Two-Space and Three-Space10---1---Equations-of-Lines.doc
Page 437 # 1ac, 2ac, 5, 6ac, 7a, 8a, 10a, 11a, 13, 14, 24, 33a, 34
Equation of a Plane10---2---Equations-of-a-Plane.doc
Page 451 # 3, 4ac, 5a, 6a, 7, 9a, 17
Intersections of Lines
in Two-Space and Three-Space10---3---Equations-of-Lines.doc
Page 437 # 8bd, 10bd
Page 451 # 10
Page 502 # 1-4, 9
Page 504 # 11a
Page 507 # 24, 25, 26, 29