Sequences and Series Part 1

Introduction to the arithmetic and geometric series.

Course Lectures

• Introduction to Limits

  Salman Khan

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  Introduction to the intuition behind limits.

• Limit Examples (Part 1)

  Salman Khan

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  Some limit exercises.

• Limit Examples (Part 2)

  Salman Khan

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  More limit exercises.

• Limit Examples (Part 3)

  Salman Khan

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  More limit exercises.

• Squeeze Theorem

  Salman Khan

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  Intuition (but not a proof) of the Squeeze Theorem.

• Proof: lim (sin x)/x

  Salman Khan

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  Using the squeeze theorem to prove that the limit as x approaches 0 of (sin x)/x =1.

• More Limits

  Salman Khan

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  More limit examples.

• Sequences and Series Part 1

  Salman Khan

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  Introduction to the arithmetic and geometric series.

• Sequences and Series Part 2

  Salman Khan

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  Finding the sum of an infinite geometric series.

• Permutations

  Salman Khan

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  Introduction to permutations.

• Combinations

  Salman Khan

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  Introduction to combinations.

• Binomial Theorem Part 1

  Salman Khan

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  Introduction to raising (a+b)^n.

• Binomial Theorem Part 2

  Salman Khan

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  Binomial Theorem and Pascal's Triangle.

• Binomial Theorem Part 3

  Salman Khan

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  Intuition behind why binomial expansion involves combinatorics.

• Exponential Growth

  Salman Khan

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  Exponential growth involving bacteria (some calculus in part c).

• Parametric Equations 1

  Salman Khan

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  Introduction to parametric equations.

• Parametric Equations 2

  Salman Khan

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  Eliminating the parameter.

• Parametric Equations 3

  Salman Khan

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  Removing the parameter from a more interesting example.

• Parametric Equations 4

  Salman Khan

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  Parametric Equations that "move" along the same path.

• Introduction to Function Inverses

  Salman Khan

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  Introduction to Function Inverses.