Mathematics 12U Calculus and Vectors

Textbook:
Here is a PDF copy of each chapter of the textbook.

Videos:
This couse will be taught using videos. All the videos for a unit will be released at one time.
You are required to do the associated work and keep up with the lessons by the dates listed.
There are three ways to watch the video.
  1. Video Link - watch it with the embedded player
  2. MP4 Link - this is the pure video and can play in most browsers
  3. Download - right-click on the MP4 link, click on "save-as" (or something similar) and save the file to your computer. Then find the file and it will play on your computer.



Chapter 9 - Points, Lines and Planes
Taught On Section Topic Video Link MP4 Link Assignment
June 6 9.1 Intersecting Lines and Planes Video (19:17) MP4 9.1 Problem Set
June 6 9.2 Systems of Equations Video (25:49) MP4 9.2 Problem Set
June 7 9.3 Systems of Equations and Matrices/td> Video (24:51) MP4 9.3 Problem Set
June 8 9.5 & 9.6 Distances and Vectors Video (16:23) MP4 9.5 Problem Set
Vector Exam on June 19, 2018, in the P.M.


Chapter 8 - Equations of Lines and Planes
Taught On Section Topic Video Link MP4 Link Assignment
May 28 8.1 Vector and Parametric Equations in R2 Video (20:49) MP4 8.1 Problem Set
May 29 8.2 Cartesian and Symmetric Equations in R2 Video (21:58) MP4 8.2 Problem Set
May 30 8.3 Equations of Lines in R3 Video (5:59) MP4 8.3 Problem Set
May 30 8.4 Vector and Parametric Equations of Planes Video (20:43) MP4 8.4 Problem Set
May 31 8.5 The Cartesian Equation of a Plane Video (22:42) MP4 8.5 Problem Set
Test on Tuesday, June 5, 2018

Chapter 7 - Applications of Vectors
Watch By Section Topic Video Link MP4 Link Assignment
May 10 7.1 Vectors as Force and Acceleration Video (24:33) MP4 7.1 Problem Set
May 11 7.3 Dot Product - A Geometric View Video (16:33) MP4 7.3 Problem Set
May 14 7.4 Dot Product - An Algebra View Video (20:44) MP4 7.4 Problem Set
May 15 7.5a Projections - Scalar and Vector Video (16:26) MP4 7.5a Problem Set
May 16 7.5b Projections - Scalar and Vector Video (12:08) MP4 7.5b Problem Set
May 18 7.6 The Cross Product Video (22:53) MP4 7.6 Problem Set
May 22 7.7 Applications of Dot and Cross Products Video (20:00) MP4 7.7 Problem Set
Test on Thursday May 24, 2018

Chapter 6 - Introduction to Vectors
Watch By Section Topic Video Link MP4 Link Assignment
April 19 6.1 An Introduction to Vectors Video (19:52) MP4 6.1 Problem Set
April 23 6.2 Vector Addition (and subtraction) Video (26:07) MP4 6.2 Problem Set
April 24 6.4 Properties of Vector Addition and Scalar Multiplication Video (18:56) MP4 6.4 Problem Set
April 27 - Formative Quiz on 6.1, 6.2, and 6.4
April 27 6.5 Vectors in 2D and 3D Video (25:17) MP4 6.5 Problem Set
April 30 6.6 Algebraic Operations with Vectors in R2 Video (21:45) MP4 6.6 Problem Set
May 1 6.7 Algebraic Operations with Vectors in R3 Video (6:26) MP4 6.7 Problem Set
May 2 6.8a Linear Combinations and Spanning Sets 1 Video (14:06) MP4 6.8a Problem Set
May 3 6.8b Linear Combinations and Spanning Sets 2 Video (31:38) MP4 6.8b Problem Set
Test on Tuesday May 8, 2017

Chapter 5 - Trigonometric, Exponential and Logatihmic Functions
Watch By Section Topic Video Link MP4 Link Assignment
April 4 5.1 The Derivative of f(x) = ex Video (18:37) MP4 5.1 Problem Set
April 5 5.2 The Derivative of the General Exponential Function Video (12:27) MP4 5.2 Problem Set
April 9 5.3 Optimization with Exponential Functions Video (25:06) MP4 5.3 Problem Set
April 10 5.4 The Derivatives of Sine and Cosine Video (13:21) MP4 5.4 Problem Set
April 11 5.5 The Derivatives of Logarithms Video (10:51) MP4 5.5 Problem Set
Calculus Midterm - April 17

Chapter 4 - Curve Sketching
Watch By Section Topic Video Link MP4 Link Assignment
March 21 4.1 Increasing and Decreasing Functions Video (23:01) MP4 4.1 Problem Set
March 22 4.2 Critical Values Video (12:41) MP4 4.2 Problem Set
March 23 4.3 Asymptotes Video (21:28) MP4 None :(
March 26 4.4 Concavity and Points of Inflection Video (21:52) MP4 4.4 Problem Set
March 27 4.5 Bringing It All Together Video (35:35) - sorry :( MP4 4.5 Problem Set
Test -- March 29, 2017

Chapter 3 - Applications of the Derivative
Watch By Section Topic Video Link MP4 Link Assignment
Thursday, March 1 3.1 Higher Order Derivatives Video (17:48) MP4 3.1 Problem Set
Friday, March 2 3.2 Extreme Values Video (15:17) MP4 3.2 Problem Set
Monday, March 5 3.3a Optimization Video (19:19) MP4 3.3 Problem Set
Tuesday, March 6 3.3b More Optimization Examples Video (27:11) MP4 3.3 Problem Set
Test -- March 8, 2018

Chapter 2 - The Derivative
Watch By Section Topic Video Link MP4 Link Assignment
Wednesday, Feb 14 2.1 The Derivative as a Function Video (25:43) MP4 2.1 Problem Set
Thursday, Feb 15 2.2 Derivatives of Polynomial Functions Video (16:22) MP4 2.2 Problem Set
Tuesday, Feb 20 2.3a The Product Rule Video (18:41) MP4 2.3 Problem Set
Wednesday, Feb 21 2.3b More Product Rule Examples Video (14:02) MP4 2.3 Problem Set
Thursday, Feb 22 2.4 The Quotient Rule Video (24:53) MP4 2.4 Problem Set
Friday, Feb 23 2.5 Derivatives of Composite Functions Video (17:34) MP4 2.5 Problem Set
Test -- Wednesday, February 28

Chapter 1 - Introduction to the Calculus
Watch By Section Topic Video Link MP4 Link Assignment
Wednesday, January 31 1.1 Radical Expressions: Rationalizing Video (8:01) MP4 1.1 Problem Set
Thursday, February 1 1.2 The Slope of a Tangent Video (20:52) MP4 1.2 Problem Set
Friday, February 2 1.4a The Limit of a Function Video (20:20) MP4 1.4a Problem Set
Quiz on 1.1 and 1.2 -- Monday, February 5
Monday, February 5 1.4b The Limit of a Function (Continued) Video (8:30) MP4 1.4b Problem Set
Tuesday, February 6 1.5 Evaluating Limits Video (24:48) MP4 1.5 Problem Set
Wednesday, February 7 1.6 Continuity Video (29:28) MP4 1.6 Problem Set
Test -- Tuesday, February 13