Young, Kelley
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Resources
- Precalculus Topics
- Limits, Continuity, and Asymptotes
- Introduction to Derivatives
- Introduction to Antiderivatives
- Derivative and Integral Methods
- Characteristics of Curves
- Riemann and Trapezoidal Sums, Definite Integrals, and Average Value
- Improper Integrals, L'Hopital's Rule, and Second Fundamental Theorem
- Implicit Differentiation and Related Rates
- Parametric Equations and Vectors
- Integration by Parts and Partial Fractions
- Differential Equations: Exponential and Logistic Growth
- The Geometry of Calculus
- Polar Derivatives and Area
- Convergence and Divergence of Series
- Taylor and Maclaurin Polynomials and Series
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The videos embedded below are provided to offer support for this course. They are in the following order.Riemann and Trapezoidal Sums
- Riemann Sums: Left and Right Hand Sums
- Riemann Sums: Midpoint
- Trapezoidal Sums
Introduction to Definite Integrals
- Definite Integral as Area, Part I
- Definite Integral as Area, Part II
Understanding the First Fundamental Theorem of Calculus
- Understanding the First Fundamental Theorem of Calculus, Part 1
- Understanding the First Fundamental Theorem of Calculus, Part 2
The First Fundamental Theorem Analytically- First Fundamental Theorem of Calculus Analytically, Part 1
- First Fundamental Theorem of Calculus Analytically, Part 2
- First Fundamental Theorem of Calculus Analytically, Part 3
Average Value- Average Value, Part 1
- Average Value, Part 2
- Average Value, Part 3
Riemann Sums
Introduction to Definite Integrals
Understanding the First Fundamental Theorem of Calculus
The First Fundamental Theorem Analytically
Average Value