Numerical Calculus Course
This course equips you with essential numerical calculus techniques for integration, differentiation, and solving ordinary differential equations. Master trapezoidal and Simpson's rules, Euler, Heun, and RK4 solvers, finite differences for noisy data, and robust error analysis using Big-O, plots, and extrapolation. Practical templates ensure confident, reproducible results for mathematical modelling challenges.

flexible workload of 4 to 360h
valid certificate in your country
What will I learn?
Gain practical skills in numerical calculus: differentiate discrete noisy data using stable finite differences, integrate accurately with trapezoidal and Simpson’s rules, solve initial value problems with Euler, Heun, and RK4 methods, and perform thorough error analysis. Utilise provided templates, pseudocode, and checklists to deliver reliable, well-documented numerical solutions effectively.
Elevify advantages
Develop skills
- Master numerical integration using trapezoidal and Simpson's rules with error checks.
- Develop skills in solving ODEs via Euler, Heun, and RK4 methods with step control.
- Apply finite difference methods to compute derivatives from noisy data accurately.
- Gain expertise in error analysis through Big-O notation and convergence studies.
- Create reusable templates and pseudocode for reliable numerical computations.
Suggested summary
Before starting, you can change the chapters and the workload. Choose which chapter to start with. Add or remove chapters. Increase or decrease the course workload.What our students say
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