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Math Grade 12 Calculus & Vectors (MCV4U)

Regular price $299.00 Sale price $450.00

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  • Course Code: MCV4U
  • Course Type: University Preparation
  • Format: Online School Course
  • Prerequisite: MHF4UMCR3U
  • Needed for: N/A
  • Course Format: Online, Learn at your own pace, built-in supports and prompts, Gamified Learning with Pop Quizzes, Online Exams, Auto-grading, Current Grade Displayed 
  • Report sent to: Final report automatically sent to your school and OUAC
  • Detailed Course Outline

Will I get Grade 12 Ontario High School credit?

Yes! Our Grade 12 Ontario Math Program is approved by the Ministry of Education in Ontario to provide students around the world with High School Math Credit.  To get High School credit, you are required by the ministry to do 110 hours of Math.  

Please select one of these options to qualify for the credit: ON School Credit or ON Express Credit

  • ON School Credit gives you 8 months to do 110 hours of Math. 
  • ON Express Credit is an accelerated program where you have 4 months to do 110 hours of Math

Please note:

  • To get ON High School Credit for Grade 12 Calculus & Vectors (MCV4U) you must have completed or be concurrently enrolled in Grade 12 Advanced Functions (MHF4U) 
  • If you start the program with the No Credit option, you will need to re-register and redo completed modules to get the credit to meet ministry requirements. 

What will you learn?

In this course, you will explore advanced calculus. You will be learning how to use and apply calculus and rates of change to analyze functions in order to solve complex mathematical problems and find information applicable to real-life scenarios. This course explores the analysis of rates of change and understanding what they mean, understanding how to calculate and interpret derivatives, understanding how to integrate and applications of integration, using functions and derivatives in contextual applications, and much more! This will allow you to develop an essential skillset of mathematical skills that are highly applicable in real life and in many careers.


1) Limits and Discontinuities
2) Differentiation, Derivative Rules, and Rates of Change
3) Implicit and Inverse Functions
4) Contextual Applications of Differentiation
5) Analytical Applications of Differentiation
6) Integration and Accumulation of Change
7) Differential Equations
8) Applications of Integration
9) Parametric Equations, Polar Coordinates, and Vector-Values Functions
10) Infinite Sequences and Series
11) Vectors
12) Lines in the Plane and in Space
13) Geometry
14) Coordinate Geometry
15) Congruence and Similarity
16) Circles
17) Transformations of 2D Shapes
18) Non-Euclidian Geometries
19) Complex Numbers

1) A device with access to the internet

2) Paper and pencils

After you purchase, you will receive an email to access the course at the Explorer Hop Learning Portal.

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