SATEC @ W.A. Porter C.I.

MCV4U1-01 – Calculus and Vectors - Grade 12 University Preparation

School Year 14-15 Semester 2

Section 05 - Period B Room 230

Section 06 - Period C Room 230

 

 

 

Unofficial Final Marks:

It was a pleasure to have you guys in my classes in your last semester here at SATEC (especially those who I taught in grade 9.).     Congratulations to those who worked hard to maintain their marks.  The final averages were 74% and 77% which are still respectable.   Hopefully all of your conditional university acceptance requirements can be met.   I would like to wish all of you the best of luck in your post-secondary math courses and future endeavours.   Don’t forget to visit (and try not to scare the poor high school students on how hard university is).   Have a great summer!

 

MCV4U1-05 (Period B)

MCV4U1-06 (Period C)

 

 

 

 

The Ontario Curriculum, Grades 11 and 12: Mathematics, 2007 (revised)

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

Recommended Graphing Software:  Graphmatica

How to Study Mathematics

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

 

 

 

February

Monday

Tuesday

Wednesday

Thursday

Friday

 

 

 

 

30            Sem 2 Term 1

 

 

 

 

 

 

Course Profile

 

Prerequisite Skills

 

 

2

3

4

5

6

6.1 Introduction to Vectors

Who's Vector?

 

6.2 Addition and Subtraction of Vectors

6.2 (day 2)

 

Touring in Ottawa

 

 

6.3 Multiplying a Vector by a Scalar

Textbook Distribution

 

6.4 Applications of Vector Addition (day 1)

9

10

11

12

13                 

Quiz 6.1-6.3

 

6.4 Day 2

 

 

6.4 Day 3

6.5 Resolution of Vectors Into Rectangular Components

 

Chapter 6 Review

 

PA Day

16             

17

18

19 

20                Course Fair

 

 

Family Day

 

 

 7.1 Cartesian Vectors

Chapter 6 Review (Day 2)

 Chapter 6 Test

7.2 Dot Product

23

24          

25             

26            African Heritage

                           Assembly

27    

 7.3 Applications of the Dot Product

 

 

 

 

7.4 Vectors in Three-Space

7.4 Day 2

 

3D Navigation Example

 

Video of the 3D Model 7.4 p.401 # 35

 Quiz 7.1-7.3

7.5 The Cross Product and Its Properties

 

 

 

March

Monday

Tuesday

Wednesday

Thursday

Friday

2

3

4

5

6

7.6 Applications of the Dot Product and Cross Product

 

 

 

Chapter 7 Review

Chapter 7 Review (Day 2)

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

Chapter 7 Test

9

10

11

12

13                 

8.1 Equations of Lines in Two-Space and Three-Space (day 2)

 

 

8.2 Equations of Planes

8.2 cont’d

8.3 Properties of Planes

 

8.3 cont’d

16             

17

18

19

20

 

March Break

 

23

24          

25             

26                           OSSLT 

                  Parent Interview

27    

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

 

 

 

 Quiz 8.1-8.2

 

 8.4 cont’d

 

No Classes

8.5 Intersections of Lines and Planes

 

Thinking Assignment Assigned

30

 31

 

 

 

8.6 Intersections of Planes

 

 

 

 

 8.6 cont’d

 

 

 

 


 

 

April

Monday

Tuesday

Wednesday

Thursday

Friday

 

 

1

2                    Multi-Show

3

 

 

 Chapter 8 Review

Chapter 8 Review

(Day 2)

 

Good Friday

 

 

6

7

8

9

10

 

 

Easter Monday

 

 

Thinking Assignment Due

 

Thinking Assignment Quiz

 Chapter 8 Review

 Chapter 8 Test

 1.1 Rates of Change and the Slope of a Curve

1.2 Rates of Change Using Equations

13              Sem 2 Term 2

14              Euclid Contest

15

16

17

1.3 Limits

 

 

 

 

1.4 Limits and Continuity

1.4 cont’d

 

1.5 Introduction to Derivatives

The Calculus Controversy

 

1.5 cont’d

 

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

20

21

22                    Earth Day

23

24

Quiz 1.2-1.4

 

 

 

 2.1 Derivative of a Polynomial Function

 

 Chapter 1 Review

 Chapter 1 Review (cont’d)

 

 Chapter 1 Test 

27

28

29

30

 

 2.2 The Product Rule

 

 

 

 

 2.3 Velocity, Acceleration, and Second Derivatives

 2.3 cont’d

 2.4 The Chain Rule 

 

 

 

 

May

Monday

Tuesday

Wednesday

Thursday

Friday

 

 

 

 

1             Full Disclosure

 

 

 

 

Quiz 2.1-2.3

 

2.5 Derivatives of Quotients

 

 

4

5

6

7

8

2.6 Rate of Change Problems

 

 

 

Chapter 2 Review

In-Class Thinking Assignment

Chapter 2 Test

3.1 Increasing and Decreasing Functions

11

12

13

14

15

3.2 Maxima and Minima

3.3 Concavity and the Second Derivative Test

 

3.4 Simple Rational Functions

 

 

 

3.5 Putting It All Together

Sketch

f(x)=x^3/(x^2-4)

with full analysis.

 

3.5 cont’d

Full Analysis done in Maple

 

18

19

20

21

22

 

Victoria Day

 

 

 

Quiz 3.1-3.3

 

3.6 Optimization Problems

3.6 cont’d

5.1 Derivatives of Exponential Functions, y=e^x

Chapter 3 Review

25

26

27

28

29                SAC  BBQ

Chapter 3 Test

 

 

5.2 The Derivative of the General Exponential Function, y=b^x

 

5.3 Optimization Problems Involving Exponential Function

 

Optimization Quest (3.6)

5.3 cont’d

 

5.4 The Derivatives of y = sin x and y = cos x

 

 

 

 


 

June

Monday

Tuesday

Wednesday

Thursday

Friday

1

2

3

4

5                    Moratorium

5.5 The Derivative of y = tan x

 

Optimization Problems Involving Trigonometric Functions (Ms. Wimb’s handout)

 

Prom

Chapter 5 Review

Chapter 5 Quest

Review

8                    Moratorium

9                 Moratorium

10                  Moratorium

11            Tutorial Day

                        EQAO

12                          Exams

Review

 

 

Review

Review

 

Mark Adjustment and Quiz Upgrades

 

Review

 

15

16

17

18

19           Credit Recovery

 

 

 

Final Exam

9:00am-11:00am

MCV4U1-05

Room 230

MCV4U1-06

Room 231

 

Bring your textbook (& chapter 5 package), pencils, eraser, ruler and non-programmable scientific calculator

 

 

 

 

22                   Mark Return

23

24

25                      PA Day

26                        PA Day

 

 

 

 

 

 

 

29

30