Subject
Subject: Mathematics
Grade: 12
Credits:1.0
Type: University Preparation
Language of Study: English
Prerequisites:
MHF4U
Course description: Deepen your understanding of functions and rates of change. Solve problems involving vectors and three-dimensional space; understand rates of change, and apply all this to real-world relationships. Preview Course
Interested in taking this course?
- If you are a student already enrolled in an Ontario High School, please contact your school about taking courses with TVO ILC.
- If your goal is to earn a high school diploma or if you are a homeschool student, an academic assessment of your application must be done before choosing courses, please visit Apply Now to start your application.
Grade: 12
Credits:1.0
Type: University Preparation
Language of Study: English
Prerequisites:
MHF4U
Course description: Deepen your understanding of functions and rates of change. Solve problems involving vectors and three-dimensional space; understand rates of change, and apply all this to real-world relationships. Preview Course
Course fees are partially subsidized for most Ontario residents. The administrative fee covers the cost for us to process your application.
Interested in taking this course?
- If you are a student already enrolled in an Ontario High School, please contact your school about taking courses with TVO ILC.
- If your goal is to earn a high school diploma or if you are a homeschool student, an academic assessment of your application must be done before choosing courses, please visit Apply Now to start your application.
Course Overview
This course builds on your previous experience with functions and your developing understanding of rates of change. You will solve problems involving geometric and algebraic representations of vectors and representations of lines and planes in three-dimensional space; broaden your understanding of rates of change to include the derivatives of polynomial, sinusoidal, exponential, rational, and radical functions; and apply these concepts and skills to the modelling of real-world relationships.
You will also refine your use of the mathematical processes necessary for success in senior mathematics. This course prepares you for careers in fields such as science, engineering, economics, and some areas of business. It will prepare you for university-level calculus, linear algebra, or physics courses.
You will also refine your use of the mathematical processes necessary for success in senior mathematics. This course prepares you for careers in fields such as science, engineering, economics, and some areas of business. It will prepare you for university-level calculus, linear algebra, or physics courses.
Course Syllabus
This course is designed for independent study. Our courses are routinely reviewed for errors and adherence to AODA accessibility standards. We appreciate your patience as we work towards delivering high-quality digital learning for all.
This course is designed for independent study. Our courses are routinely reviewed for errors and adherence to AODA accessibility standards. We appreciate your patience as we work towards delivering high-quality digital learning for all.
To preview the lessons, please visit this page with a computer or tablet.
20 Lessons
1.1
Reviewing prerequisite skills
1.1
Reviewing prerequisite skills
1.2
Determining rates of change
1.2
Determining rates of change
1.3
Determining limits
1.3
Determining limits
1.4
Using first principles to determine the equation of a tangent
1.4
Using first principles to determine the equation of a tangent
2.1
Finding derivatives (part A)
2.1
Finding derivatives (part A)
2.2
Finding derivatives (part B)
2.2
Finding derivatives (part B)
2.3
Solving related rates problems
2.3
Solving related rates problems
2.4
Investigating velocity, acceleration and second derivatives
2.4
Investigating velocity, acceleration and second derivatives
3.1
Exploring the first derivative
3.1
Exploring the first derivative
3.2
Exploring the second derivative
3.2
Exploring the second derivative
3.3
Sketching curves part A
3.3
Sketching curves part A
3.4
Sketching curves part B
3.4
Sketching curves part B
4.1
Solving optimization problems
4.1
Solving optimization problems
4.2
Working with sinusoidal functions
4.2
Working with sinusoidal functions
4.3
Working with exponential and logarithmic functions
4.3
Working with exponential and logarithmic functions
5.1
Using geometric vectors
5.1
Using geometric vectors
5.2
Investigating Cartesian vectors
5.2
Investigating Cartesian vectors
5.3
Exploring vectors in 3-space
5.3
Exploring vectors in 3-space
5.4
Creating equations of vectors
5.4
Creating equations of vectors
5.5
Investigating lines and planes
5.5
Investigating lines and planes