| (*)Students possess hands-on skills in applying concepts of calculus, integration, and Fourier analysis through practical exercises, reinforcing their theoretical understanding. They are adept at solving mathematical problems involving continuous functions, differentiation, multivariate calculus, and function decomposition, linking these techniques to AI applications.
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(*)- Calculating Limits and Analyzing Continuity (k4)
Students can compute limits of functions, assess their continuity, and solve practical problems that require understanding the behavior of functions near critical points.
- Practicing One-Dimensional Differential Calculus (k4)
Students are able to differentiate one-dimensional functions, solve related problems involving slopes, rates of change, and optimization, and apply these techniques to practical scenarios.
- Solving Basic Integration Problems (k4)
Students can perform definite and indefinite integrals of standard functions, applying integration rules to calculate areas under curves and other cumulative measures.
- Applying Fourier Series to Practical Problems (k4)
Students are capable of decomposing periodic functions into their Fourier series components, practicing the analysis of signal properties and function approximations through exercises.
- Performing Multivariate Calculus Operations (k4)
Students can differentiate multivariate functions, finding partial derivatives and gradients, and solve problems involving optimization and function analysis in higher dimensions.
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(*)Students have acquired practical knowledge of applying continuous function analysis, differentiation, and integration to real-world problems, developing computational skills in calculus. They also know to apply Fourier series for function decomposition and analyze multivariate functions, enhancing their ability to tackle mathematical challenges within AI and related fields.
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