MCV4U Calculus and Vectors tutoring
MCV4U is the Ontario course for students heading into science, engineering, economics and some business programs, and the closest thing in high school to first-year university calculus. Our tutors teach the ideas behind the rules, so derivatives, optimization and vectors make sense rather than being memorised.
One-to-one from CA$30 a class · billed in USD
Ontario, Canada - online 1-to-1
What every programme includes
- ✓ Rates of change and limits
- ✓ Derivative rules, including chain, product and quotient rules
- ✓ Curve sketching and optimization problems
- ✓ Derivatives of exponential and trigonometric functions
- ✓ Vectors in two and three dimensions, lines and planes
- ✓ Unit tests and final exam practice
Lesson times in your time zone
Weekdays 3pm-9pm after school · Weekends 8am-8pm, your local time. Pick the slot when you book.
What MCV4U covers
The course has three strands: Rate of Change, Derivatives and Their Applications, and Geometry and Algebra of Vectors. Advanced Functions (MHF4U) must be taken before or at the same time.
The curriculum describes it as the course for students heading to university calculus, linear algebra or physics, which is why it appears in engineering and science admission requirements.
How the course is marked
In every Ontario Grade 12 course, 70% of the final mark comes from evaluations through the semester and 30% from a final evaluation, which can be an exam, a culminating task or both. Universities see the final percentage, so steady unit-test marks matter as much as the exam.
Taking MCV4U alongside MHF4U
Many schools run MHF4U in first semester and MCV4U in second. Students who take both together, or who start MCV4U with weak function skills, find the calculus unit hardest. Sessions keep both courses moving and close function gaps as they appear.
- ✓ Optimization word problems: setting up the function is the hard part
- ✓ Curve sketching from first and second derivatives
- ✓ Vector equations of lines and planes, and their intersections
MCV4U at a glance
| Details | |
|---|---|
| Course | Calculus and Vectors, Grade 12, University Preparation |
| Prerequisite | Advanced Functions (MHF4U), before or at the same time |
| Strands | Rate of change; derivatives and their applications; geometry and algebra of vectors |
| Final mark | 70% term work, 30% final evaluation |
A semester with MCV4U
- 1
Before the course
Secure MHF4U skills: rational functions, logarithms, trigonometry.
- 2
Calculus units
Derivative rules to fluency, then curve sketching and optimization.
- 3
Vectors units
Visualising 3D: lines, planes and intersections with many worked examples.
- 4
Final 3 weeks
Timed mixed practice and a full mock exam.
Tutors for this programme
Abdi Musa
Bachelor of Science in Mathematics, University of Washington Bothell
4 yrs experience
GCSE / A-Level (UK)
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Muhammad Faisal
BS Physics, Quaid-i-Azam University, Islamabad
5 yrs experience
GCSE Science · A-Level Physics · NAPLAN
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IYAMAH SUNDAY EMMANUEL
Bachelors of Science in Physics, Obafemi Awolowo University
15 yrs experience
GCSE · A-Level · 11+
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What maths tutoring costs in Ontario
University students tutoring in Toronto
CA$25-40 an hour
Source: Profify: How much does tutoring cost in Toronto? (2026 guide)Professional tutors in Toronto
CA$40-70 an hour
Source: Profify: How much does tutoring cost in Toronto? (2026 guide)Certified teachers in Toronto
CA$60-100+ an hour
Source: Profify: How much does tutoring cost in Toronto? (2026 guide)EagleTeach, one-to-one online
From CA$30 a class
Billed in USD, converted at an approximate rate. Two free demo classes first.
Common questions
Can I take MCV4U without MHF4U?＋
Not without taking MHF4U at the same time; the curriculum requires it before or concurrently.
Which programs require MCV4U?＋
Engineering and most mathematics, computer science and physical science programs, and many economics and business programs. Check each university's requirements.
Is MCV4U harder than MHF4U?＋
Most students find it harder because it uses every function skill from MHF4U and adds 3D vectors.
How much is the MCV4U exam worth?＋
The final evaluation is 30% of the course mark.
Do you tutor the vectors unit too?＋
Yes. Vectors, lines and planes are a full strand of the course and often the weakest for students.
Sources
Facts on this page were checked against these sources on 2026-10-06.
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