SATEC @ W.A. Porter C.I.

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

School Year 14-15 Semester 1

Section 01 - Period B Room 230

 

Unofficial Final Marks

It was an honour to be your instructor this past semester.  Good luck with your university applications/acceptances.

 

 

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

 

September

Monday

Tuesday

Wednesday

Thursday

Friday

1

2             Sem 1 Term 1

3

4

5

 

Labour Day

 

Course Profile

 

 

Prerequisite Skills

 

6.1 Introduction to Vectors

Who's Vector?

 

6.2 Addition and Subtraction of Vectors

8

9

10

11

12

6.3 Multiplying a Vector by a Scalar

 

6.3 cont’d

6.4 Applications of Vector Addition (day 1)

6.4 Day 2

Quiz 6.1-6.3

15

16

17

18

19                         Uni Fair

6.4 Day 3

 

 

 

6.5 Resolution of Vectors Into Rectangular Components

 

Chapter 6 Review

7.1 Cartesian Vectors

 

7.1 cont’d

22

23

24

25

26

Chapter 6 Test

 

 

 

7.2 Dot Product

7.3 Applications of the Dot Product

 

7.3 cont’d

7.4 Vectors in Three-Space

29

30

 

 

 

Quiz 7.1-7.3

 

 

 

 

7.4 cont’d

 

 

 

 

 

 


 

October

Monday

Tuesday

Wednesday

Thursday

Friday

 

 

1

2

3

 

 

 

 

 

 

7.4 cont’d

3D Navigation Example

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

 

 7.5 The Cross Product and Its Properties

7.6 Applications of the Dot Product and Cross Product

 

6

7

8

9

10

7.6 cont’d

Chapter 7 Review

 

Chapter 7 Practice Test

Chapter 7 Practice Test p.423 # 19

 

Study Period

Chapter 7 Test

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

 

13

14

15

16

17

 

Thanksgiving

 

 

 

8.1 cont’d

8.1 cont’d

8.2 Equations of Planes

8.2 cont’d

20

21

22

23             Parent Interview

24

8.3 Properties of Planes

 

 

8.3 cont’d

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

Work Period

Quiz (8.1-8.3)

27

28

29

30

31

8.4 cont’d

8.5 Intersections of Lines and Planes

 

 

 

8.6 Intersections of Planes

 

8.6 cont’d

Thinking Assignment Due

Matrices Quiz

 

 

 

 

 

November

Monday      Sem 1 Term 2

Tuesday

Wednesday

Thursday

Friday

3

4

5

6

7           Awards Assembly

Chapter 8 Review

 

 

 

 

 

Chapter 8 Test

1.2 Rates of Change Using Equations

1.3 Limits

1.3 cont’d

10

11

12

13

14

1.4 Limits and Continuity

 

 

 

1.4 cont’d

 

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

1.5 Introduction to Derivatives

 The Calculus Controversy

 

1.5 cont’d

 

PA Day

 

17       

18

19

20

21                      

Chapter 1 Review

 

 

 

 

Chapter 1 Test

2.1 Derivative of a Polynomial Function

 

 

2.2 The Product Rule

2.3 Velocity, Acceleration, and Second Derivatives

Our class handout

Ms. Wimb’s handout on s(t), v(t) and a(t) graphs

 

24

25

26            

27                Full Disclosure

28

2.3 cont’d

Graphing the Derivative of a Function

Derivative Puzzles

 

“Dear White People”

2.4 The Chain Rule

2.4 cont’d

2.1-2.3 Quiz

 

2.5 Derivatives of Quotients

 

 

 

 

December

Monday

Tuesday

Wednesday

Thursday

Friday

1

2

3

4

5

2.6 Rate of Change Problems

 

Differentiation Review

(with solutions)

 

Chapter 2 Review

Chapter 2 Test

 

PA Day

 

8

9

10

11

12

3.1 Increasing and Decreasing Functions

 

 

3.1 cont’d

 

3.2 Maxima and Minima

 

3.3 Concavity and the Second Derivative Test

 

Quiz 3.1-3.3

3.3 cont’d

 

 

15

16

17

18

19

3.4 Simple Rational Functions

Rational Function Graphs Matching Exercise

 

3.5 Putting It All Together

Sketch

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

with full analysis.

Full Analysis done in Maple

 

3.6 Optimization Problems

3.6 cont’d

 

Thinking Assignment assigned

 

22

23

24

25

26

 

Winter Break

 

 

29

30

31

Jan 1

Jan 2

 

Winter Break

 

 

 


 

January 2015

Monday

Tuesday

Wednesday

Thursday

Friday

5

6

7               

8

9

Chapter 3 Review

5.1 Derivatives of Exponential Functions, y=e^x

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

 

Chapter 3 Test

5.3 Optimization Problems Involving Exponential Functions

5.4 The Derivatives of

y = sin x and y = cos x

 

12

13

14                   Moratorium

15                   Moratorium

16                   Moratorium

Thinking Assignment Due

Thinking Assignment Quiz

5.5 The Derivative of y = tan x

 

5.1, 5.2, 5.4 Quiz

Optimization Problems Involving Exponential and Trigonometric Functions

 

Exam Review

Ch.  6-7

Exam Review

Ch. 8

Exam Review

Chapter 1-2

19                         Moratorium

20                  Tutorial Day

                               EQAO

21                          Exams

22                              Exams

23                             Exams

Exam Review

Chapter 3

 

 Exam Review

Chapter 5

 

 

 

 

 

26                                 Exams

27                            Exams

28                 Mark Return

29           Turn Around Day

30               Sem 2 Term 1

 Final Exam

12:00pm-2:00pm

MCV4U1-01

Room 229

 

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