Calculus & VectorsMCV4U
Turn complexity into clarity.
Explore rates of change, derivatives and vectors with patient, structured teaching.
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MCV4UOne idea builds
on the next.
Follow the sequence or revisit a topic you need for school. Each step is built around understanding.
01Rates of Change & Limits+
Average versus instantaneous rate of change, the difference quotient, and evaluating limits algebraically — the ideas every derivative rule is built on.
Try this topic’s practice ↗02Derivatives+
Power, product, quotient and chain rules, tangent lines and implicit differentiation — the toolkit the rest of the course runs on.
Try this topic’s practice ↗03Applications of Derivatives & Curve Sketching+
Critical points, increasing and decreasing intervals, concavity, optimization and related rates — turning derivatives into information about shape and motion.
Try this topic’s practice ↗04Derivatives of Exponential & Trigonometric Functions+
Differentiating exponential, logarithmic and trigonometric functions, and combining them with the product and chain rules.
Try this topic’s practice ↗05Geometric Vectors+
Magnitude and direction, resultants, the cosine law for vector sums, and resolving vectors into components — vectors before coordinates.
Try this topic’s practice ↗06Cartesian Vectors, Dot & Cross Products+
Vectors in component form: dot products and angles, cross products, areas, and projections in three dimensions.
Try this topic’s practice ↗07Equations of Lines & Planes+
Vector, parametric, symmetric and scalar equations, intersections, distances and angles — where vectors turn back into geometry.
Try this topic’s practice ↗Work it out.
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Free practice questions with complete worked solutions. No sign-up needed.
25 years of making
the difficult feel doable.
Sachin Gulati brings clear explanations and a deep understanding of mathematics to every class.
Meet Sachin ↗Let the next “I get it”
start here.
3 complete classes. No payment required.