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MATH-101(f): Analysis I
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Lectures in this course (35)
Symmetry in Functions: Definitions and Examples
Explores the definition of pantéch functions and symmetry in functions, including even and odd functions.
Characterization of Limits: Techniques and Examples
Explores the characterization of limits, techniques, and examples in function behavior and limit calculation.
Limits and Continuity: Concepts and Examples
Covers limits, continuity, open sets, and function extension by continuity with illustrative examples.
Limits Recapitulation
Covers the definition of limits and continuous functions with examples and exercises.
Polynomial, Exponential, Logarithmic Functions
Covers polynomial, exponential, and logarithmic functions, differentiability, compositions, and limits.
Continuity and Differentiability of Functions
Covers continuity, differentiability, and applications in calculus with an emphasis on fundamental concepts.
Generalized Fine Increments: Applications and Examples
Discusses generalized fine increments, function evaluation, theorems, and derivative applications.
Asymmetric Functions and Extremas
Covers the definition of asymmetric functions and extremas in functions with examples.
Extremes of Functions: Desirability and Decorability
Explores the desirability and decorability of function extremes and asymptotes.
Characterization of Clinical Bility: Limit Developments & Series
Explores clinical bility, limit developments, error/rest notes, and efficient limit calculations.
Taylor Series: Analytical Feruchows
Explores Taylor series development, order of terms, and function convergence.
Logarithmic Functions: Properties and Convergence
Covers properties of logarithmic functions, series convergence, and the Riemann integral.
Analytical Functions: Integration Techniques
Explores integration techniques and variable transformations for calculating integrals.
Polynomial Equations: Solving Methods
Covers various methods for solving polynomial equations through examples.
Generalized Integral: Comparison Criteria and Taylor Series
Explores series convergence criteria, generalized integrals, and Taylor series applications.
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