Calculus and Vectors Online Textbook Username: vectors Password: calc12

Course Outline:

News Flashes:

  • Calculus Test #1 - Monday February 24th
  • Calculus Summative - TBD
  • Vectors Summative - TBD


Calculus:
Lesson
Major Concept
Handouts
1
First and Second Differences
Average Rate of Change
Turning points and inflection points
Increasing/decreasing
concave up/concave down




2
Limits and Continuity

3
Curve Sketching
IROC and turning Points

4
Optimization
Intro to IROC function

5
Derivative from 1st Principles
tangents and normals
IROC at turning points
IROC at any point
Graph of f(x) vs f '(x) vs f "(x)



6
Review



7
Test - February 24th



Lesson
Major Concept
Handouts
1
Derivative of the form ax^n

2
Derivative of trig functions

3
Derivative of exponential functions

4
The natural logarithm and its derivative
See above
5
Consolidation of Concepts

6
Product and Quotient Rule

7
Chain rule

8
Using the derivative to accurately sketch curves

9
Optimization









Date of Lesson
Major Concept
Video
Sept 3
Unit Vectors
Unit Vectors
Sept 4, 5
Vector operations, geometric/algebraic conversions
Vector Operations
Sept 10
Finding resultant of 3 or more vectores
Airplane Problem
Resultant
Airplane Problem
Sept 11
Dot Product both algebraically and geometrically
Dot Product




Projections
Projections



Sept 17
3-D vectors
3-d vectors






Sept
The angle between two vectors
Angle between vectors
Ocobert 1
Triple Scalar Product
Triple Scalar Product (Volume of Parallelpiped)
October 7
Intersection of Lines
Intersection of Lines
Types of Intersections
October 8
distance between point and line
Point and Line 3-space