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Calculus I

Tyler Wallace via YouTube

Syllabus

2.1 A Preview of Calculus.
2.2 The Limit of a Function.
2.3 The Limit Laws.
2.4 Continuity.
2.5 The Precise Definition of a Limit.
3.1 Defining the Derivative.
3.2 The Derivative as a Function.
3.3 Differentiation Rules.
3.4 Derivatives as Rates of Change.
3.5 Derivatives of Trigonometric Functions.
3.6 The Chain Rule.
3.7 Derivatives of Inverse Functions.
3.8 Implicit Differentiation.
3.9 Derivatives of Exponential and Logarithmic Functions.
3.10 Partial Derivatives.
4.1 Related Rates.
4.2 Linear Approximations and Differentials.
4.3 Maxima and Minima.
4.4 The Mean Value Theorem.
4.5 Derivatives and the Shape of a Graph.
4.6 Limits at Infinity and Asymptotes.
4.7 Applied Optimization Problems.
4.8 L'Hopital's Rule.
4.9 Newton's Method.
4.10 Antiderivatives.

Taught by

Tyler Wallace

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