Calculus 1

Videos that will focus on the foundation of
Calculus.

  • INTRODUCING: Derivatives, Integration, Numerical Calculations

    • Power, Product, Quotient, and Chain Rule

    • Indefinite and Definite Integrals

    • Newton’s Method, Trapezoid and Simpson RULE

  • ADDITIONAL TOPICS: Optimization, 1st and 2nd Derivative Test, and Summary of Curve Sketching

Unit 3: Video 1
(Basic Differential Rules)

  • Constant rule

  • Power rule

Unit 3: Video 2
(Product and Quotient Rule)

  • Trig. functions

  • Higher order derivatives

Unit 3: Video 3
(The Chain Rule)

  • Trig. functions

  • Exponential function

Unit 3: Video 4 *
(Chain Rule…Continue)

  • Natural log. functions

Unit 4: Video 1 (Increasing/Decreasing of Functions)

  • Increasing slope

  • Decreasing slope

  • Relative extrema: max/min points

Unit 4: Video 2
(Concavity of Functions)

  • Concave upward

  • Concave downward

  • Points of inflection

Unit 4: Video 3
(Summary of Sketching Graphs)

  • Analyzing functions

Unit 4: Video 4
(Optimization Problems)

  • Maximum and Minimum problems

Unit 5:
(Implicit Differentiation)

Unit 6: Video 1
(Antiderivative and Indefinite Integral)

Unit 6: Video 2
(Integration by Substitution)

Unit 6: Video 3
(Fundamental Theorem of Calculus)