### Calculus: Sequences, series and function approximation

Free Closed [?]

Sequences, series and approximating functions. Maclaurin and Taylor series.
Sequences and Series (part 1). Sequences and series (part 2). Maclaurin and Taylor Series Intuition. Cosine Taylor Series at 0 (Maclaurin). Sine Taylor Series at 0 (Maclaurin). Taylor Series at 0 (Maclaurin) for e to the x. Euler's Formula and Euler's Identity. Visualizing Taylor Series Approximations. Generalized Taylor Series Approximation. Visualizing Taylor Series for e^x. Error or Remainder of a Taylor Polynomial Approximation. Proof: Bounding the Error or Remainder of a Taylor Polynomial Approximation. Polynomial approximation of functions (part 1). Polynomial approximation of functions (part 2). Approximating functions with polynomials (part 3). Polynomial approximation of functions (part 4). Polynomial approximations of functions (part 5). Polynomial approximation of functions (part 6). Polynomial approximation of functions (part 7). Taylor Polynomials. Sequences and Series (part 1). Sequences and series (part 2). Maclaurin and Taylor Series Intuition. Cosine Taylor Series at 0 (Maclaurin). Sine Taylor Series at 0 (Maclaurin). Taylor Series at 0 (Maclaurin) for e to the x. Euler's Formula and Euler's Identity. Visualizing Taylor Series Approximations. Generalized Taylor Series Approximation. Visualizing Taylor Series for e^x. Error or Remainder of a Taylor Polynomial Approximation. Proof: Bounding the Error or Remainder of a Taylor Polynomial Approximation. Polynomial approximation of functions (part 1). Polynomial approximation of functions (part 2). Approximating functions with polynomials (part 3). Polynomial approximation of functions (part 4). Polynomial approximations of functions (part 5). Polynomial approximation of functions (part 6). Polynomial approximation of functions (part 7). Taylor Polynomials.

Categories:

# Reviews

-- no reviews yet -- make the first review

# Alternatives All alternatives to all Khan Academy courses

-- no alternatives found for the course --
If you know any alternatives, please let us know.

# Prerequisites

-- no prerequsites found for the course --
If you can suggest any prerequisite, please let us know.

# Paths

No Paths inclusing the course. You can build and share a path with this course included.

# Certification Exams

-- there are no exams to get certification after this course --
If your company does certification for those who completed this course then register your company as certification vendor and add your exams to the Exams Directory.

# Similar courses

Courses related to the course subject

### Calculus I (Differential Calculus)

4 0 0

Videos on a first course in calculus (Differential Calculus).

### Calculus II (Integral Calculus)

6 0 0

Videos on a second course in calculus (Integral Calculus).

### Calculus One

84 0 0

Calculus One is a first introduction to differential and integral calculus, emphasizing engaging examples from everyday life.

Details:

### Calculus: AP Calculus practice questions

51 0 0

Sample questions from the A.P. Calculus AB and BC exams (both multiple choice and free answer). 2011 Calculus AB Free Response #1a…

### Calculus: Derivative applications

29 0 0

Minima, maxima, and critical points. Rates of change. Optimization. Rates of change. L'Hopital's rule. Mean value theo…

### Calculus: Divergence theorem

44 0 0

Divergence theorem intuition. Divergence theorem examples and proofs. Types of regions in 3D. 3-D Divergence Theorem Intuition.

### Calculus: Double and triple integrals

50 0 0

Volume under a surface with double integrals. Triple integrals as well. Double Integral 1. Double Integrals 2. Double Integrals 3.

### Calculus: Indefinite and definite integrals

88 0 0

Indefinite integral as anti-derivative. Definite integral as area under a curve. Integration by parts. U-substitution. Trig su…

### Calculus: Limits

37 0 0

Limit introduction, squeeze theorem, and epsilon-delta definition of limits. Introduction to limits. Limit at a point of discontin…

### Calculus: Line integrals and Green's theorem

49 0 0

Line integral of scalar and vector-valued functions. Green's theorem and 2-D divergence theorem. Introduction to the Line In…

Let us know when you did the course Calculus: Sequences, series and function approximation.