RESOURCES+-+MCV4U

=GRADE 12 UNIVERSITY CALCULUS & VECTORS =

To quickly locate the resources for a particular unit/topic choose one of the following:

UNIT:, , , , , , //(FYI: 2 schemes/page so share with a friend!!)// ||
 * **TOPIC** || **TEXTBOOK** || **D2L** ||
 * UNIT 0: INTRODUCTION ||  ||   ||
 * UNIT 1: RATES OF CHANGE || C-CHPT 3 & 4 || UNIT 3 ||
 * UNIT 2: PROPERTIES OF DERIVATIVES || C-CHPT 4 || UNIT 5 ||
 * UNIT 3: APPLICATIONS OF DERIVATIVES || C-CHPT 5 || UNIT 7 ||
 * UNIT 4: CURVE SKETCHING || C-CHPT 9 || UNIT 6 ||
 * UNIT 5: DERIVATIVES OF EXPONENTIAL, LOGS & TRIG FUNCTIONS || C-CHPT || UNIT 4 ||
 * UNIT 6: VECTORS || G-CHPT || UNIT 1 ||
 * UNIT 7: LINES & PLANES || G-CHPT || UNIT 2 ||
 * UNIT 1-7: SUMMARY SHEET ASSIGNMENT |||| MARKING SCHEMES
 * UNIT 1-7: SUMMARY SHEET ASSIGNMENT |||| MARKING SCHEMES
 * UNIT 1-7: SUMMARY SHEET ASSIGNMENT |||| MARKING SCHEMES
 * EXAM PREP ||||  ||
 * EXAM PREP ||||  ||

__GENERAL INFO__
DESCRIPTION > This course builds on students’ previous experience with functions and their developing understanding of rates of change. Students will solve problems involving geometric and algebraic representations of vectors and representations of lines and planes in three dimensional space; broaden their understanding of rates of change to include the derivatives of polynomial, sinusoidal, exponential, rational, and radical functions; and apply these concepts and skills to the modelling of real-world relationships. Students will also refine their use of the mathematical processes necessary for success in senior mathematics. This course is intended for students who choose to pursue careers in fields such as science, engineering, economics, and some areas of business, including those students who will be required to take a university-level calculus, linear algebra, or physics course.. > > **NOTE:** The overall expectations for each unit of study are detailed below. To see a list of specific expectations for each unit please refer to the Ministry of Education's webdocument: The Ontario Mathematics Curriculum - Grades 11 & 12 (revised 2007)

PREREQUISITE > The Advanced Functions course (MHF4U) must be taken prior to or concurrently with Calculus and Vectors (MCV4U).

TEXTBOOKS
 * Harcourt Mathematics 12 Advanced Functions & Introductory Calculus
 * Harcourt Mathematics 12 Geometry & Discrete Mathematics

TESTS, ASSIGNMENTS, & DUE DATES
 * Students are expected to be in class for all test and assignment submission dates. __Proper documentation is required if you have an extenuating circumstance that does not allow you to attend class on that day.__ Communication is necessary and required. So, if you know you are going to be absent talk to the teacher beforehand and let them know of your planned absence. For unplanned absences, a phone call, an email, or a message via the app Remind is needed.
 * Assignments are due at the start of class on the due date. Assignments submitted past the due date, without extenuating circumstances and without discussing it with the teacher prior to the due date, will not be evaluated. However, they are still required to demonstrate your understanding of the course expectations listed below.
 * **Late marks are 10% for grade 9 & 10 and 20% for grade 11 & 12 (including weekends & holidays)**

HANDOUTS (COURSE SPECIFIC)
 * MCV - Course Outline.pdf

STUDENT eBOOK
 * Harcourt Mathematics 12 Advanced Functions & Introductory Calculus.pdf

MISC RESOURCES
 * [[file:winplot.exe|winplot.exe]] ..... winplot program
 * [|eeweb.com] ..... useful calculus reference sheets

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UNIT 0: __INTRODUCTION__
NOTES
 * MCV - PP1 (Welcome & Introduction).pdf
 * MCV - PP2 (What is Calculus & Vectors).pdf

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UNIT 1: __RATES OF CHANGE (UNIT 3 ON D2L)__
UNIT OUTLINE
 * MCV1 - Unit Outline.pdf

ASSIGNMENTS
 * MCV1 - ACT1 (Rates of Change).pdf
 * MCV1 - ACT2 (Slope & Limits).pdf
 * MCV1 - ACT3 (Maxima & Minima).pdf
 * MCV1 - ACT4 (Graphs of the Derivative).pdf
 * MCV1 - ACT5 (Derivatives).pdf

SOLUTIONS (ASSIGNMENTS & TEXTBOOK)
 * MCV1 - ACT1 (Solutions).pdf
 * MCV1 - ACT2 (Solutions).pdf
 * MCV1 - INV1 (Solutions).pdf
 * MCV1 - ACT3 (Solutions).pdf
 * MCV1 - ACT4 (Solutions).pdf
 * MCV1 - ACT5 (Solutions).pdf


 * MCV1 - TXT1 (P.93 Solutions).pdf
 * MCV1 - TXT2 (P.84 Solutions).pdf
 * MCV1 - TXT3 (P.98 Solutions).pdf
 * MCV1 - TXT4 (P.105 Solutions).pdf
 * MCV1 - TXT7 (P.132 Solutions).pdf
 * MCV1 - TXT8 (P.131 Solutions).pdf

HINTS
 * MCV1 - TEST1 (Hints).pdf
 * MCV1 - TEST2 (Hints).pdf

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UNIT 2: __PROPERTIES OF DERIVATIVES (UNIT 5 ON D2L)__
UNIT OUTLINE
 * MCV2 - Unit Outline.pdf

ASSIGNMENTS
 * MCV2 - ACT1 (The Power Rule).pdf
 * MCV2 - ACT2 (The Constant, Sum, and Difference Rules).pdf
 * MCV2 - ACT3 (The Product Rule).pdf
 * MCV2 - ACT4 (The Quotient Rule).pdf
 * MCV2 - ACT5 (The Chain Rule and its Applications).pdf

SOLUTIONS (ASSIGNMENTS & TEXTBOOK)
 * MCV2 - ACT1 (Solutions).pdf
 * MCV2 - ACT2 (Solutions).pdf
 * MCV2 - ACT3 (Solutions).pdf
 * MCV2 - ACT4 (Solutions).pdf
 * MCV2 - ACT5 (Solutions).pdf


 * MCV2 - TXT2 (P.138 Solutions).pdf
 * MCV2 - TXT3 (P.145 Solutions).pdf
 * MCV2 - TXT5 (P.149 Solutions).pdf
 * MCV2 - TXT6 (P.152 Solutions).pdf
 * MCV2 - TXT7 (P.158 Solutions).pdf

HINTS
 * MCV2 - TEST1 (Hints).pdf
 * MCV2 - TEST2 (Hints).pdf

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UNIT 3: __APPLICATIONS OF DERIVATIVES (UNIT 7 ON D2L)__
UNIT OUTLINE
 * MCV3 - Unit Outline.pdf

SOLUTIONS (TEXTBOOK)
 * MCV3 - TXT1 (P.178 Solutions).pdf
 * MCV3 - TXT2 (P.185 Solutions).pdf
 * MCV3 - TXT3 (P.193 Solutions).pdf
 * MCV3 - TXT5 (P.201 Solutions).pdf
 * MCV3 - TXT6 (P.206 Solutions).pdf
 * MCV3 - TXT7 (P.213 Solutions).pdf

HINTS
 * MCV3 - TEST1 (Hints).pdf
 * MCV3 - TEST2 (Hints).pdf

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UNIT 4: __CURVE SKETCHING (UNIT 6 ON D2L)__
UNIT OUTLINE
 * MCV4 - Unit Outline.pdf

ASSIGNMENTS
 * MCV4 - ACT1 (Characteristics of a Function Given Its Derivative).pdf
 * MCV4 - ACT2 (Graphs of Functions & Their Derivative).pdf
 * MCV4 - ACT4 (Concavity, Points of Inflection & Rate of Change).pdf
 * MCV4 - ACT5 (Inflection Points & 2nd Derivative).pdf
 * MCV4 - ACT6 (Sketching Graphs of Polynomial & Rational Functions).pdf

SOLUTIONS (ASSIGNMENTS & TEXTBOOK)
 * MCV4 - ACT1 (Solutions).pdf
 * MCV4 - ACT2 (Solutions).pdf
 * MCV4 - ACT4 (Solutions).pdf
 * MCV4 - ACT5 (Solutions).pdf
 * MCV4 - ACT6 (Solutions).pdf


 * MCV4 - TXT1 (P.342 Solutions).pdf
 * MCV4 - TXT2 (P.350 Solutions).pdf
 * MCV4 - TXT3 (P.369 Solutions).pdf
 * MCV4 - TXT5 (P.361 Solutions).pdf
 * MCV4 - TXT6 (P.375 Solutions).pdf

HINTS
 * MCV4 - TEST1 (Hints).pdf
 * MCV4 - TEST2 (Hints).pdf

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UNIT 5: __DERIVATIVES OF EXPONENTIAL, LOGS & TRIG FUNCTIONS (UNIT 4 ON D2L)__
UNIT OUTLINE
 * MCV5 - Unit Outline.pdf
 * MCV5 - Trig & Unit Circle Formula Sheet.pdf

ASSIGNMENTS
 * MCV5 - ACT1 (Graphing Derivatives of Exponential Functions).pdf
 * MCV5 - ACT2 (Special Exponential Function).pdf
 * MCV5 - ACT3 (Applications of Derivatives).pdf
 * MCV5 - ACT4 (Derivatives).pdf
 * MCV5 - WS1 (Derivatives of Other Trig Functions).pdf
 * MCV5 - WS2 (Applications of Trig Functions).pdf

SOLUTIONS (ASSIGNMENTS & TEXTBOOK)
 * MCV5 - ACT1 (Solutions).pdf
 * MCV5 - ACT2 (Solutions).pdf
 * MCV5 - ACT3 (Solutions).pdf
 * MCV5 - ACT4 (Solutions).pdf


 * MCV5 - TXT1 (P.302 Solutions).pdf
 * MCV5 - TXT2 (P.309 Solutions).pdf
 * MCV5 - TXT3 (P.315 Solutions).pdf
 * MCV5 - TXT4 (P.321 Solutions).pdf
 * MCV5 - TXT6 (P.400 Solutions).pdf
 * MCV5 - TXT7 (WS1 Solutions).pdf
 * MCV5 - TXT8 (P.404 Solutions).pdf
 * MCV5 - TXT9 (WS2 Solutions).pdf

HINTS
 * MCV5 - TEST1 (Hints).pdf
 * MCV5 - TEST2 (Hints).pdf

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UNIT 6: __VECTORS (UNIT 1 ON D2L)__
UNIT OUTLINE
 * MCV6 - Unit Outline.pdf

ASSIGNMENTS
 * MCV6 - ACT3 (Algebraic [Cartesian] Vectors).pdf
 * MCV6 - ACT4 (Dot Product).pdf
 * MCV6 - ACT5 (Cross Product).pdf

SOLUTIONS (ASSIGNMENTS & TEXTBOOK)
 * MCV6 - ACT3 (Solutions).pdf
 * MCV6 - ACT4 (Solutions).pdf
 * MCV6 - ACT5 (Solutions).pdf


 * MCV6 - TXT1 (P.127 Solutions).pdf
 * MCV6 - TXT2 (P.133 Solutions).pdf
 * MCV6 - TXT3 (P.141 Solutions).pdf
 * MCV6 - TXT4 (P.149 Solutions).pdf
 * MCV6 - TXT6 (P.172 Solutions).pdf
 * MCV6 - TXT7 (P.166 Solutions).pdf
 * MCV6 - TXT8 (P.178 Solutions).pdf
 * MCV6 - TXT9 (P.185 Solutions).pdf
 * MCV6 - TXT10 (P.192 Solutions).pdf

HINTS
 * MCV6 - TEST1 (Hints).pdf
 * MCV6 - TEST2 (Hints).pdf

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UNIT 7: __LINES & PLANES (UNIT 2 ON D2L)__
UNIT OUTLINE
 * MCV7 - Unit Outline.pdf

ASSIGNMENTS
 * MCV7 - ACT1 (Equations of Lines in 2D).pdf
 * MCV7 - ACT2 (Equations of Lines in 3D).pdf
 * MCV7 - ACT3 (Vector & Parametric Equations of a Plane).pdf
 * MCV7 - ACT5 (Scalar Equation of a Plane).pdf
 * MCV7 - ACT6 (Investigation of the Intersection of Planes).pdf
 * MCV7 - ACT7 (Intersections of Lines & Planes).pdf

SOLUTIONS (ASSIGNMENTS & TEXTBOOK)
 * MCV7 - ACT1 (Solutions).pdf
 * MCV7 - ACT2 (Solutions).pdf
 * MCV7 - ACT3 (Solutions).pdf
 * MCV7 - ACT5 (Solutions).pdf
 * MCV7 - ACT6 (Solutions).pdf
 * MCV7 - ACT7 (Solutions).pdf


 * MCV7 - TXT1 (P.245 Solutions).pdf
 * MCV7 - TXT2 (P.256 Solutions).pdf
 * MCV7 - TXT3 (P.251 Solutions).pdf
 * MCV7 - TXT4 (P.251 Solutions).pdf
 * MCV7 - TXT5 (P.263 Solutions).pdf
 * MCV7 - TXT7 (P.279 Solutions).pdf
 * MCV7 - TXT8 (P.285 Solutions).pdf
 * MCV7 - TXT9 (P.292 Solutions).pdf
 * MCV7 - TXT11 (P.300 Solutions).pdf
 * MCV7 - TXT12 (P.308 Solutions).pdf

HINTS
 * MCV7 - TEST1 (Hints).pdf
 * MCV7 - TEST2 (Hints).pdf
 * MCV7 - TEST3 (Hints).pdf

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