NOTE: THIS OUTLINE IS CONSTANTLY BEING UPDATED / MODIFIED

Unit Number

                        Unit Name

Number of Periods

1

Geometric Vectors

12

2

Cartesian Vectors

8

3

Equations of Lines and Planes

12

Final Assessments Vectors

3

4

Introduction to Calculus & Limits

8

5

Derivatives and Applications

11

6

Derivatives of Trig & Exp and Optimization

9

7

Curve Sketching

8

Final Assessments Calculus

3

Total

74

Lesson

Topic (textbook section)

1.1

Review of Trigonometry

1.2

Vector Definitions (6.1)

1.3

Vector Add/Sub (6.2)

1.4

Scalar Multiplication (6.3)

1.5

Properties of Vectors (6.4)

1.6

Quiz

Vectors in R³  (6.5)

1.7

Vectors in R³ cont. (6.5)

1.8

Operations in R²  (6.6)

1.9

Operations in R³  (6.7)

1.10

Linear Comb. & Spanning Sets (6.8)

Review & TIPS

UNIT TEST

Lesson

Topic (textbook section)

Class/homework

2.1

Vectors as Forces (7.1)

(notes here) (Some solutions here)

Read p. 353-362, do p. 362

# 2-8, 10-12, 16, 18

2.2

Vectors as Velocities (7.2) 

(Some solutions here)

p. 369 # 1, 4, 5, 6, 8-13

(note: for #13, use x & y components. Also, answer should be 66 m, not 68 m)

2.3

The Dot Product (7.3 & 7.4)

p. 377 # 1, 5, 6def, 7def, 9, 11, 12

p. 385 # 1, 2, 4, 6, 7

2.4

Projections (7.5)

(notes here)

p. 399 # 1, 3, 4, 6, 7bc, 10, 13-15

and p. 387 # 19

2.5

The Cross Product (7.6)

p. 407 # 3, 4ace, 4,5, 6, 9, 13

2.6

Applications of Dot Product (7.7)

p. 415 # 3, 5-7

Applications of Cross product (7.7)

(notes here)

p. 414 # 1 , 4, 8

Review

 p. 418 # 4, 6, 7, 9, 12, 14, 15, 18, 20, 21, 24, 26, 28, 30, 31, 35, 37
p. 422 # 3, 5, 6, 7 and p. 558 # 18, 34… know the formulas!!!

UNIT TEST

THURSDAY NOV. 5TH !!!

Lesson

Topic (textbook section)

Class/homework

3.1

Vector and Parametric Cartesian Equations of Lines in R² (8.1)

 p. 433 # 1-3, 5, 7, 9 and

13(TIPS)

3.3

Vector, Parametric & Symmetric Equations of lines in R³ (8.3)

 p. 449 # 1abc, 2abc, 4, 5acf, 6, 7, 11ab, 13(TIPS)

3.4

Vector & Parametric Equations of a Plane (8.4) (notes here)

p. 459 # 1, 3-6, 7b, 9, 10, 15(TIPS)

3.5

Cartesian Equation of a Plane (8.5) (notes here)

p. 468 # 2, 3, 5-9, 11, 13, 15, 17(TIPS)

3.6

Intersection of a Line with a Plane and Intersection of Two Lines (9.1)

(notes here)

(Note: We are not doing 8.6 - Sketching Planes!)

p. 497 # 1, 4a, 5a, 7a, 8a, 9a, 13, 15(TIPS)

3.7

Systems of Equations (9.2)

3.8

Intersection of Two Planes (9.3)

3.9

Intersection of Three Planes (9.4)

3.10

Using Matrices to Solve 3 Unknowns (Appendix)

3.11

Distance from a Point to a Line in R² and R³ (9.5)

3.12

Distance from a Point to a Plane (9.6)

Review                                          

UNIT TEST

Lesson

Topic (textbook section)

Class/homework

4.1

Precalculus Review and Rationalizing Denominators (1.1)

4.2

Slope of Secants and Tangents (1.2)

4.3

Rate of Change (1.3)

4.4

Limit of a Function (1.4)

4.5

Properties of Limits (1.5)

4.6

Continuity (1.6)

Review

UNIT TEST

Lesson

Topic (textbook section)

Class/homework

5.1

The Derivative Function (2.1)

5.2

Rules for Derivatives of Polynomials (2.2)

5.3

The Product Rule (2.3)

5.4

The Quotient Rule (2.4)

5.5

The Chain Rule (2.5)

5.6

Implicit Differentiation (appendix)

Mid Unit Review

5.7

Higher Order Derivatives (3.1)

5.8

Extreme Values (3.2)

Review

Test

Lesson

Topic (textbook section)

Class/homework

6.1

Derivative of e^x (5.1)

6.2

Derivative of b^x (5.2)

6.3

Derivative of sin x, cos x and tan x (5.4 & 5.5)

6.4

Optimization Applications (3.3)

6.5

Applications Economics & Science (3.4)

6.6

Related Rates (Appendix)

6.7

Applications of Derivatives of Exponential & Trig Functions (5.3)

Review

UNIT TEST

Lesson

Topic (textbook section)

Class/homework

7.1

Increasing/Decreasing Functions (4.1)

7.2

Critical Numbers (4.2)

7.3

Vertical & Horizontal Asymptotes (4.3)

7.4

Oblique Asymptotes (4.3)

7.5

Quiz

Concavity & Points of Inflection (4.4)

7.6

Curve Sketching Algorithm (4.5)

Review

UNIT TEST