Mathematics · self-study course
University calculus and multivariable methods
Practise improper integrals, series, gradients and multiple integrals, with explicit conditions and worked examples.
4 lessons32 quiz questionsUniversity
Your learning path
- 01
Integral methods and improper limits
Substitution reverses a chain rule; integration by parts reverses a product rule.
University · Notes · 8 questions - 02
Taylor series, convergence and error
The coefficient of (x−a)^n is f⁽ⁿ⁾(a)/n!, not just the derivative.
University · Notes · 8 questions - 03
Gradients, tangent planes and extrema
The gradient collects first partial derivatives and determines directional derivatives through a dot product.
University · Notes · 8 questions - 04
Multiple integrals and Jacobians
Draw or describe the region before changing integration order.
University · Notes · 8 questions