Risk Disclosure
Effective date: May 21, 2025 · NumericaLTI Learning Inc.
1. Educational Purpose Only
NumericaLTI is designed exclusively as an educational tool for learning numerical methods. All algorithm outputs, convergence results, and numerical approximations displayed on this platform are intended for academic study only. They must not be used for engineering design, scientific research, medical analysis, financial modeling, or any safety-critical application without independent verification by a qualified professional.
2. Numerical Approximation Limitations
All methods implemented in NumericaLTI (Newton-Raphson, Bisection, Secant, Fixed Point, Gaussian Elimination, Lagrange Interpolation, and Simpson's Rule) are iterative approximations subject to: floating-point precision errors, sensitivity to initial conditions, failure to converge for certain functions, and accumulated rounding error over many iterations. Results are accurate to illustrate algorithmic behavior — not to replace professional computation tools.
3. No Warranty on Results
NumericaLTI makes no warranty, express or implied, that any numerical result, root approximation, or integral estimate is accurate, complete, or suitable for any particular purpose. The platform is provided "as is." See our Terms of Service for the full disclaimer.
4. Algorithm-Specific Risks
Newton-Raphson: May diverge if the initial guess is far from the root or if the derivative is near zero. Bisection: Requires a proper bracket where f(a) and f(b) have opposite signs; will not find roots where the function touches but does not cross zero. Secant: Can diverge if successive approximations are poorly conditioned. Fixed Point: Converges only when the iteration function is a contraction mapping near the fixed point. Gaussian Elimination: Subject to numerical instability without pivoting for ill-conditioned matrices. Lagrange Interpolation: Can exhibit Runge's phenomenon with high-degree polynomials and widely spaced nodes. Simpson's Rule: Accuracy depends on the smoothness of the integrand and the number of subintervals chosen.
5. Platform Availability
We do not guarantee uninterrupted access to the Service. Scheduled maintenance, unexpected outages, or third-party service disruptions may cause temporary unavailability. NumericaLTI Learning Inc. is not liable for losses resulting from service interruptions, including missed assignment deadlines. Always allow sufficient time before submission deadlines.
6. Grade Passback
Grades submitted to Canvas via LTI 1.3 grade passback reflect the platform's computed result at time of submission. In the event of a technical error in grade transmission, the student's raw result as shown in their NumericaLTI problem history shall be considered authoritative. Contact your instructor if a grade discrepancy occurs.
7. Subscription and Payment
Subscription fees are non-refundable except where required by applicable law. Downgrading a plan may result in loss of access to premium features, but existing problem history and submissions are retained.
8. Limitation of Liability
To the fullest extent permitted by applicable law, NumericaLTI Learning Inc., its officers, employees, and affiliates shall not be liable for any direct, indirect, incidental, special, or consequential damages arising from your use of or inability to use the Service, including but not limited to: reliance on numerical results, loss of academic credit, or service unavailability.
9. Contact
Risk disclosure questions: support@numericalti.com