SATEC @ W.A. Porter C.I.

MCV4U1-E1/H3 – Calculus and Vectors - Grade 12 University Preparation

School Year 17-18 Semester 2

Section E1 - Period A – Room 230

Section H3 - Period D – Room 230

 

Marks Update

MCV4U1-E1

MCV4U1-H3

 

(These are your RAW marks, the purpose is for you to check that your marks were input correctly.

The percentage there is just for your own reference, there might be adjustment of the weightings at the end of the semester.)

 

Curriculum Policy Document: Mathematics, The Ontario Curriculum, Grades 11 and 12, 2007 (Revised)

Textbook Used:  Calculus & Vectors 12, McGraw Hill Ryerson, 2008

NEW University of Waterloo: The Centre for Education in Mathematics and Computing Courseware: Calculus and Vectors

NEW   ONTARIO  UNIVERSITY  PROGRAM  ADMISSION  REQUIREMENTS for Grade 12 Mathematics Courses

 

Recommended Apps:

1.     Graphmatica

2.     desmos

3.     GeoGebra 3D Grapher

4.     Equation of a Plane Calculator

5.     Wolfram Alpha 3 Equation Solver

6.     Derivative Calculator

 

Having Trouble with Math?

·         How to Study Mathematics

·         Before School / Lunch Math Help Schedule

·         Peer Tutoring: Monday to Thursday 3:30-4:30 in Room 101

 

Official SATEC @ W.A. Porter C.I. Website

 

 

 

 

 

February 2018

Monday

Tuesday

Wednesday

Thursday

Friday

 

 

 

1

2

 

 

 

 

 

 

 

 PA Day

Course Profile

Chapter 1 Prerequisite Skills

5

6

7

8

9

1.1 Rates of Change and the Slope of a Curve

 

 

 

 

1.2 Rates of Change Using Equations

1.3 Limits

1.4 Limits and Continuity

Quiz 1.1-1.3

 

1.4 cont’d

12

13

14

15

16

1.5 Introduction to Derivatives

 

The Calculus Controversy

 

Please take a moment to read more about the concept of Infinity

 

More on Indeterminate Forms from brilliant.org

 

 

Chapter 1 Review

 

 

2.1 Derivative of a Polynomial Function

 

 

Chapter 1 Test 

 PA Day

19

20

21

22

23

 Family Day

 

 

 

 

2.2 The Product Rule

2.4 The Chain Rule 

2.5 Derivatives of Quotients

2.5 cont’d (Quotient Rule)

26

27

28

 

 

Quiz 2.1,2.2, 2.4

 

2.3 Velocity, Acceleration, and Second Derivatives

 

 

 

 

 2.3 Day 2 

 2.6 Rate of Change Problems

 

 

 

 

March 2018

Monday

Tuesday

Wednesday

Thursday

Friday

 

 

 

1

2

 

 

 

 

 

 

 

 Differentiation Review

 Chapter 2 Derivatives Review

 

more practice with derivatives

 

5

6

7

8

9

 Chapter 2 Test

 

 

 

 

3.1 Increasing and Decreasing Functions

3.2 Maxima and Minima

3.3 Concavity and the Second Derivative Test

 

3.4 Simple Rational Functions

12

13

14

15

16

 

 

March Break

 

 

19

20

21

22

23

3.5 Putting It All Together

Sketch

f(x)=x^3/(x^2-4) with full analysis.

 

 

Quiz 3.1-3.4

 

3.5 cont’d

 3.6 Optimization Problems

3.6 cont’d

Optimization Worksheet (with solutions)

did not check the end points or perform first/second derivative test in the solutions

Chapter 3 Review

26

27

28

29

30

6.1 Introduction to Vectors

Who's Vector?

 

 

 Chapter 3 Test

6.2 Addition and Subtraction of Vectors

6.3 Multiplying a Vector by a Scalar

 

 

Good Friday

 

 

 

 

 

April 2018

Monday

Tuesday

Wednesday

Thursday

Friday

2

3

4

5  - Parent Teacher Interview

6

 

 

Easter Monday

 

 

Curve Sketching In-Class Assignment 

 

6.4 Applications of Vector Addition (day 1)

 

2-D Navigation

Rectangular Component Vectors

 

6.4 Day 2

 

Non-Rectangular Component Vectors

Quiz 6.1-6.3

 

 

9

10 - OSSLT

11                 

12

13 - End of Term 1                

6.4 Day 3

Forces

 

 

  

6.5 Resolution of Vectors Into Rectangular Components

Chapter 6 Review

Chapter 6 Test

16 – Term 2 begins            

17

18

19

20

Midterm mark adjustment

 

 

 

 

7.1 Cartesian Vectors

7.2 Dot Product

 

7.3 Applications of the Dot Product

 

 

7.3 cont’d (Projection)

23

24          

25              

26

27           

 7.4 Vectors in Three-Space

 

 

 

 

 Quiz 7.1-7.3

 

 7.4 cont’d

7.4 cont’d

 

3-D Navigation Problems

7.5 The Cross Product and Its Properties

 

 

7.6 Applications of the Dot Product and Cross Product

30

 

 

 

 

Chapter 7 Review

 

 

 

 

 

 

 

 

 

 

 

May 2018

Monday

Tuesday

Wednesday

Thursday

Friday

 

1

2

3

4

 

 

 

 

 Chapter 7 Review

8.1 Equations of Lines in Two-Space and Three-Space

 

 

 

Chapter 7 Review cont’d

8.1 cont’d

7

8

9

10

11

Chapter 7 Test

 

 

 

8.2 Equations of Planes

8.2 cont’d

8.3 Properties of Planes

8.4 Intersections of Lines in Two-Space and Three-Space

14

15

16

17

18

 

BBQ “Rain” Date

 

8.4 cont’d

 

Quiz 8.1-8.3

 

8.4 cont’d

8.5 Intersections of Lines and Planes

8.5 cont’d

8.6 Intersections of Planes

 

21

22

23

24

25

 

 Victoria Day

 

 

 8.6 cont’d

  Chapter 8 Review

Chapter 8 Test

4.1 Instantaneous Rates of

Change of Sinusoidal Functions

 

4.2 Derivatives of the Sine and Cosine

Functions

 

Special limits:

 

(sin (h))/h = 1 as h approaches 0

 

(1-cos(h))/h as h approaches 0

 

 

28

29

30

 31

 

4.3 Differentiation Rules for Sinusoidal

Functions 

 

 

 

4.4 Applications of Sinusoidal Functions

and Their Derivatives

 

Optimization Problems Involving Trigonometric Functions (Ms. Wimbs’ handout)

 

Thinking Assignment Quiz – Gaussian Elimination

Additional Trig Optimization Problems

 Chapter 4 Review

 

 

 

 

June 2018

Monday

Tuesday

Wednesday

Thursday

Friday

 

 

 

 

1

 

 

 

 

 

 

 

4

5

6

7

8

5.1 Rates of Change and the Number e

 

5.2 The Natural Logarithm

 

 

Chapter 4 Quiz

 

5.3 Derivatives of Exponential Functions

 

5.4 Differentiation Rules for Exponential Functions

 

Limit as h goes to zero of [e^h-1]/h

5.5 Making Connections: Exponential

Models

 

Optimization Problems

Chapter 4 and 5 Review

 

Review Sheet

11

12                 Moratorium

13                 Moratorium  

14                 Moratorium

15                 Moratorium

 Chapter 4 and 5 Test

 

 

 

 

Exam Review (Courtesy of Ms. Wimbs) 

 

 

Practice Exam

(Courtesy of Cathedral High School)

*skip #14

Time yourself. Do it in < 2 hours.

Ms. Wimbs Review Solutions

Practice Exam Solutions
(Courtesy of Cathedral High School)

18                   Tutorial Day

19                              Exams

20                        Exams    

21                         Exams      

22                          Exams

 Term Mark Adjustment

 

 

 

 

 MCV4U1

Final Exam

9:00am-11:00am

Section E1  - Room 224

Section H3 – Room 229

 

Bring your textbook, pencils, eraser, ruler and non-programmable scientific calculator

 

 

 

25                          Exams

26          Mark Return Day   

27  

28                    Graduation 

29  

 

 

 

 

 

 

Prom