Videos for Calculus - IB
These comprehensive video lessons help IB Mathematics Analysis and Approaches (AA) students Standard Level (SL) and Higher Level (HL) understand and master the essential concepts needed for success in IB Exams. Each video focuses on Calculus and is aligned with the IB Mathematics Analysis and Approaches (AA) syllabus, ensuring focused learning on functions and equations, calculus, complex numbers, sequences and series, and probability and statistics. Students can watch and rewatch anytime, anywhere, perfect for visual learners, reinforcing complex concepts, and understanding IB methodology. By using RevisionDojo's video lessons consistently, learners build deep understanding and enter the exam with confidence.
SL 5.1—Introduction of differential calculus
SL 5.2—Increasing and decreasing functions
SL 5.3—Differentiating polynomials, n E Z
SL 5.4—Tangents and normal
SL 5.5—Integration introduction, areas between curve and x axis
11 min
AASL 5.5.1 Integration power rule AA
SL 5.5—Integration introduction, areas between curve and x axis
6 min
AASL 5.5.2 Finding f(x)
SL 5.5—Integration introduction, areas between curve and x axis
9 min
AASL 5.5.3 Definite integration
SL 5.5—Integration introduction, areas between curve and x axis
16 min
AASL 5.5.4 Area under the curve
SL 5.5—Integration introduction, areas between curve and x axis
SL 5.6—Differentiating polynomials n E Q. Chain, product and quotient rules
6 min
AASL 5.6.1 Derivative of sinx,cosx,lnx,e^x
SL 5.6—Differentiating polynomials n E Q. Chain, product and quotient rules
15 min
AASL 5.6.2 Chain rule
SL 5.6—Differentiating polynomials n E Q. Chain, product and quotient rules
6 min
FREE
AASL 5.6.3 Product rule
SL 5.6—Differentiating polynomials n E Q. Chain, product and quotient rules
9 min
AASL 5.6.4 Quotient rule
SL 5.6—Differentiating polynomials n E Q. Chain, product and quotient rules
SL 5.7—The second derivative
SL 5.8—Testing for max and min, optimisation. Points of inflexion
14 min
FREE
AASL 5.8.1 Classifying stationary points
SL 5.8—Testing for max and min, optimisation. Points of inflexion
8 min
AASL 5.8.2 Points of inflexion
SL 5.8—Testing for max and min, optimisation. Points of inflexion
17 min
AASL 5.8.3 Optimization
SL 5.8—Testing for max and min, optimisation. Points of inflexion
SL 5.9—Kinematics problems
SL 5.10—Indefinite integration, reverse chain, by substitution
3 min
AASL 5.10.2 Integrating sin and cos
SL 5.10—Indefinite integration, reverse chain, by substitution
11 min
AASL 5.10.3 Inverse chain rule
SL 5.10—Indefinite integration, reverse chain, by substitution
20 min
AASL 5.10.4 Integration by substitution
SL 5.10—Indefinite integration, reverse chain, by substitution
SL 5.11—Definite integrals, areas under curve onto x-axis and areas between curves
AHL 5.12—First principles, higher derivatives
7 min
AAHL 5.12.1 Continuous functions
AHL 5.12—First principles, higher derivatives
7 min
AAHL 5.12.2 Differentiable functions
AHL 5.12—First principles, higher derivatives
14 min
AAHL 5.12.3 Differentiation from first principles
AHL 5.12—First principles, higher derivatives
10 min
AAHL 5.12.4 Higher derivatives
AHL 5.12—First principles, higher derivatives
AHL 5.13—Limits and L’Hopitals
AHL 5.14—Implicit functions, related rates, optimisation
AHL 5.15—Further derivatives and indefinite integration of these, partial fractions
15 min
AAHL 5.15.1 More derivative rules
AHL 5.15—Further derivatives and indefinite integration of these, partial fractions
15 min
AAHL 5.15.2 More integration rules
AHL 5.15—Further derivatives and indefinite integration of these, partial fractions
14 min
AAHL 5.15.3 Integrating using partial fractions
AHL 5.15—Further derivatives and indefinite integration of these, partial fractions
AHL 5.16—Integration by substitution, parts and repeated parts
23 min
FREE
AAHL 5.16.1 Integration by substitution (HL only)
AHL 5.16—Integration by substitution, parts and repeated parts
11 min
AAHL 5.16.2 Integration by parts
AHL 5.16—Integration by substitution, parts and repeated parts
13 min
AAHL 5.16.3 Repeated integration by parts
AHL 5.16—Integration by substitution, parts and repeated parts
AHL 5.17—Areas under curve onto y-axis, volume of revolution (about x and y axes)
12 min
AAHL 5.17.1 Area between curve and y-axis
AHL 5.17—Areas under curve onto y-axis, volume of revolution (about x and y axes)
13 min
AAHL 5.17.2 Volume of revolution intro and x-axis
AHL 5.17—Areas under curve onto y-axis, volume of revolution (about x and y axes)
13 min
AAHL 5.17.3 Volume of revolution about y-axis
AHL 5.17—Areas under curve onto y-axis, volume of revolution (about x and y axes)
10 min
FREE
AAHL 5.17.4 Volume of revolution between 2 curves
AHL 5.17—Areas under curve onto y-axis, volume of revolution (about x and y axes)
AHL 5.18—1st order DE’s – Euler method, variables separable, integrating factor, homogeneous DE using sub y=vx
11 min
AAHL 5.18.1 Differential equations introduction
AHL 5.18—1st order DE’s – Euler method, variables separable, integrating factor, homogeneous DE using sub y=vx
7 min
AAHL 5.18.2 Separation of variables
AHL 5.18—1st order DE’s – Euler method, variables separable, integrating factor, homogeneous DE using sub y=vx
18 min
FREE
AAHL 5.18.3 Euler's method introduction
AHL 5.18—1st order DE’s – Euler method, variables separable, integrating factor, homogeneous DE using sub y=vx
17 min
AAHL 5.18.4 Euler's method example
AHL 5.18—1st order DE’s – Euler method, variables separable, integrating factor, homogeneous DE using sub y=vx
14 min
AAHL 5.18.5 Homogenous differential equations
AHL 5.18—1st order DE’s – Euler method, variables separable, integrating factor, homogeneous DE using sub y=vx
9 min
AAHL 5.18.6 Integrating factor
AHL 5.18—1st order DE’s – Euler method, variables separable, integrating factor, homogeneous DE using sub y=vx
AHL 5.19—Maclaurin series
16 min
FREE
AAHL 5.19.1 Maclaurin series introduction
AHL 5.19—Maclaurin series
9 min
FREE
AAHL 5.19.2 Maclaurin series
AHL 5.19—Maclaurin series
11 min
AAHL 5.19.3 Maclaurin series (substitutions and products)
AHL 5.19—Maclaurin series
11 min
FREE
AAHL 5.19.4 Maclaurin series (binomial series)
AHL 5.19—Maclaurin series
16 min
AAHL 5.19.5 Maclaurin series differentiation and integration
AHL 5.19—Maclaurin series
11 min
AAHL 5.19.6 Maclaurin series sigma notation
AHL 5.19—Maclaurin series
8 min
AAHL 5.19.7 Maclaurin series differential equations
AHL 5.19—Maclaurin series
10 min
FREE
AAHL 5.19.8 Euler's identity
AHL 5.19—Maclaurin series