Velocity Triangles Analysis vs Mathematics Calculus Practice

VTA app is a velocity analysis application of a turbomachinery stage. The user can easily extract useful results and velocity diagrams by importing some dimensionless sizes, input-output angles and general geometric features. This application gives also the ability to compare cases with different input parameters. Through a quick and easy analysis of the velocity triangles inside a turbine or a compressor the student could experiment and thus gain a deeper understanding of the operation of an energy system. It has been developed for education purposes.

Calculus Practice is an educational application designed to help students strengthen their understanding of calculus through structured practice questions. The app provides chapter-wise quizzes, mock tests, and daily practice questions covering key calculus topics. Students can practice conceptual problems, solve numerical exercises, and track their progress using statistics. The app supports independent learning and systematic revision of fundamental calculus concepts used in mathematics, engineering, and science courses. Topics Included 1. Limits and Continuity Concept of limits, left-hand and right-hand limits, limit laws, continuity of functions, and different types of discontinuities. 2. Derivatives and Differentiation Derivative definition, differentiation rules, higher-order derivatives, implicit differentiation, logarithmic differentiation, and differentiability conditions. 3. Applications of Derivatives Rates of change, increasing and decreasing functions, maxima and minima, tangent and normal lines, linear approximations, and curve sketching. 4. Indefinite Integrals Concept of integration, standard integration formulas, substitution method, integration by parts, partial fractions, and trigonometric integrals. 5. Definite Integrals Definite integral concept, fundamental theorem of calculus, properties of definite integrals, area under curves, substitution methods, and evaluation techniques. 6. Applications of Integration Area between curves, volume of solids, surface area of revolution, work done calculations, average value of functions, and physical applications. 7. Differential Equations Definition of differential equations, order and degree, separable equations, homogeneous equations, linear differential equations, and practical applications. 8. Advanced Calculus Concepts Series expansions, Taylor and Maclaurin series, improper integrals, multivariable functions, and partial derivatives. Key Features Chapter-wise calculus practice quizzes Mock tests for overall assessment Daily quiz for regular practice Performance statistics to track progress Clear topic organization for systematic study Simple and distraction-free interface Calculus Practice is suitable for students studying calculus in mathematics, science, and engineering courses who want structured practice and regular revision.