Arian University · ARIAN_Calculus_1

Calculus 1

Limits, derivatives, and the foundations of differential calculus.

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Course material

Unit 1

  1. 01 Review Of Functions And Graphs Select a learning workflow
  2. 02 Trigonometry And Graphing Review Select a learning workflow

Course material

Unit 2

  1. 01 The Intuitive Concept Of A Limit Select a learning workflow
  2. 02 Limit Laws And Algebraic Evaluation Select a learning workflow
  3. 03 One Sided Limits And Limits At Infinity Select a learning workflow
  4. 04 The Squeeze Theorem Select a learning workflow
  5. 05 Continuity And The Intermediate Value Theorem Select a learning workflow

Course material

Unit 3

  1. 01 Instantaneous Rate Of Change Select a learning workflow
  2. 02 Formal Definition Of The Derivative Select a learning workflow
  3. 03 Power Rule And Basic Properties Of Derivatives Select a learning workflow
  4. 04 Power Rule Constant Multiple And Sum Difference Rules Select a learning workflow
  5. 05 The Product Rule For Derivatives Select a learning workflow
  6. 06 The Chain Rule Select a learning workflow
  7. 07 Implicit Differentiation Select a learning workflow

Course material

Unit 4

  1. 01 Related Rates Select a learning workflow
  2. 02 Critical Points And Extrema On An Interval Select a learning workflow
  3. 03 Rolles Theorem And The Mean Value Theorem Select a learning workflow
  4. 04 First And Second Derivative Tests Select a learning workflow
  5. 05 Optimization Problems Select a learning workflow
  6. 06 Lhopitals Rule Select a learning workflow
  7. 07 Newtons Method And Linear Approximations Select a learning workflow

Course material

Unit 5

  1. 01 Antiderivatives And Indefinite Integrals Select a learning workflow
  2. 02 Approximating Area With Riemann Sums Select a learning workflow
  3. 03 The Definite Integral Select a learning workflow
  4. 04 The Fundamental Theorem Of Calculus Select a learning workflow
  5. 05 Integration By Substitution Select a learning workflow