Calculus

In the Calculus Bootcamp, you will examine and employ the most important ideas in the IB HL Mathematics Analysis and Approaches Calculus Topic. Major ideas and techniques examined include concepts and techniques related to differentiation, integration, kinematics, and differential equations.

Differentiation

Focuses on the nature, execution, and applications of differentiation.

6 Courses

RV Gold

Integration

Focuses on techniques and applications for both indefinite and definite integration.

6 Courses

RV Gold

Kinematics

Focuses on kinematics, or motion - including the concepts of displacement, velocity, and acceleration.

2 Courses

RV Gold

Differential Equations and Maclaurin Series

Focuses on several techniques for solving differential equations and applications of the Maclaurin series.

6 Courses

RV Gold

Differentiation

First Principles

Explores differentiation from first principles, examining how a limit can be applied to determine the gradient of a function.

RV Gold

Differentiating Functions

Explores the differentiation of logarithmic, exponential & power functions, and trigonometric & inverse trigonometric functions. Methods examined include the chain, product, and quotient rules.

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Optimization

Explores optimization. Typical applications include maximizing volumes or profits and minimizing areas or costs.

RV Gold

Related Rates and Implicit Differentiation

Explores related rates and implicit differentiation, which involve similar techniques of multiplying derivatives to obtain novel expressions or solutions.

RV Gold

Limits and L'Hopital's Rule

Explores the use of L’Hôpital’s rule to determine the limits of functions at points where the function takes on an indeterminate form.

RV Gold

Practice and Test Yourself

Practice with some culminating questions and test yourself on a quick assessment.

RV Gold