Calculus skills & concepts to know for better grades 

Here are the important topics for Calculus:

Limits and Continuity

• Definition of a limit
• Evaluating limits
• Properties of limits
• Continuity

Differentiation

• Definition of the derivative
• Basic differentiation rules
• The chain rule
• Applications of differentiation, such as finding extrema, increasing/decreasing intervals, and concavity

Integration

• Definition of the definite integral
• The Fundamental Theorem of Calculus
• Indefinite integrals
• Integration techniques, such as u-substitution, integration by parts, and partial fractions
• Applications of integration, such as finding areas, volumes, and arc lengths

Transcendental Functions

• Exponential and logarithmic functions
• Trigonometric functions
• Inverse trigonometric functions
• Applications of transcendental functions

Infinite Series

• Definition of an infinite series
• Tests for convergence
• Taylor series and Maclaurin series
• Applications of infinite series

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