Lec 144 - Path Independence for Line Integrals

Lecture list for this course

Lec 1 - Newton Leibniz and Usain Bolt

Lec 2 - Introduction to Limits (HD)

Lec 3 - Introduction to Limits

Lec 4 - Limit Examples (part 1)

Lec 5 - Limit Examples (part 2)

Lec 6 - Limit Examples (part3)

Lec 7 - Limit Examples w/ brain malfunction on first prob (part 4)

Lec 8 - Squeeze Theorem

Lec 9 - Proof: lim (sin x)/x

Lec 10 - More Limits

Lec 11 - Epsilon Delta Limit Definition 1

Lec 12 - Epsilon Delta Limit Definition 2

Lec 13 - Calculus: Derivatives 1 (new HD version)

Lec 14 - Calculus: Derivatives 2 (new HD version)

Lec 15 - Calculus: Derivatives 2.5 (new HD version)

Lec 16 - Derivative Intuition Module

Lec 17 - Calculus: Derivatives 1

Lec 18 - Calculus: Derivatives 2

Lec 19 - Calculus: Derivatives 3

Lec 20 - The Chain Rule

Lec 21 - Chain Rule Examples

Lec 22 - Even More Chain Rule

Lec 23 - Product Rule

Lec 24 - Quotient Rule

Lec 25 - Derivatives (part 9)

Lec 26 - Proof: d/dx(x^n)

Lec 27 - Proof: d/dx(sqrt(x))

Lec 28 - Proof: d/dx(ln x) = 1/x

Lec 29 - Proof: d/dx(e^x) = e^x

Lec 30 - Proofs of Derivatives of Ln(x) and e^x

Lec 31 - Extreme Derivative Word Problem (advanced)

Lec 32 - Implicit Differentiation

Lec 33 - Implicit Differentiation (part 2)

Lec 34 - More implicit differentiation

Lec 35 - More chain rule and implicit differentiation intuition

Lec 36 - Trig Implicit Differentiation Example

Lec 37 - Calculus: Derivative of x^(x^x)

Lec 38 - Introduction to L'Hopital's Rule

Lec 39 - L'Hopital's Rule Example 1

Lec 40 - L'Hopital's Rule Example 2

Lec 41 - L'Hopital's Rule Example 3

Lec 42 - Maxima Minima Slope Intuition

Lec 43 - Inflection Points and Concavity Intuition

Lec 44 - Monotonicity Theorem

Lec 45 - Calculus: Maximum and minimum values on an interval

Lec 46 - Calculus: Graphing Using Derivatives

Lec 47 - Calculus Graphing with Derivatives Example

Lec 48 - Graphing with Calculus

Lec 49 - Optimization with Calculus 1

Lec 50 - Optimization with Calculus 2

Lec 51 - Optimization with Calculus 3

Lec 52 - Optimization Example 4

Lec 53 - Introduction to rate-of-change problems

Lec 54 - Equation of a tangent line

Lec 55 - Rates-of-change (part 2)

Lec 56 - Ladder rate-of-change problem

Lec 57 - Mean Value Theorem

Lec 58 - The Indefinite Integral or Anti-derivative

Lec 59 - Indefinite integrals (part II)

Lec 60 - Indefinite Integration (part III)

Lec 61 - Indefinite Integration (part IV)

Lec 62 - Indefinite Integration (part V)

Lec 63 - Integration by Parts (part 6 of Indefinite Integration)

Lec 64 - Indefinite Integration (part 7)

Lec 65 - Another u-subsitution example

Lec 66 - Introduction to definite integrals

Lec 67 - Definite integrals (part II)

Lec 68 - Definite Integrals (area under a curve) (part III)

Lec 69 - Definite Integrals (part 4)

Lec 70 - Definite Integrals (part 5)

Lec 71 - Definite integral with substitution

Lec 72 - Integrals: Trig Substitution 1

Lec 73 - Integrals: Trig Substitution 2

Lec 74 - Integrals: Trig Substitution 3 (long problem)

Lec 75 - Periodic Definite Integral

Lec 76 - Simple Differential Equations

Lec 77 - Solid of Revolution (part 1)

Lec 78 - Solid of Revolution (part 2)

Lec 79 - Solid of Revolution (part 3)

Lec 80 - Solid of Revolution (part 4)

Lec 81 - Solid of Revolution (part 5)

Lec 82 - Solid of Revolution (part 6)

Lec 83 - Solid of Revolution (part 7)

Lec 84 - Solid of Revolution (part 8)

Lec 85 - Sequences and Series (part 1)

Lec 86 - Sequences and series (part 2)

Lec 87 - Maclauren and Taylor Series Intuition

Lec 88 - Cosine Taylor Series at 0 (Maclaurin)

Lec 89 - Sine Taylor Series at 0 (Maclaurin)

Lec 90 - Taylor Series at 0 (Maclaurin) for e to the x

Lec 91 - Euler's Formula and Euler's Identity

Lec 92 - Visualizing Taylor Series Approximations

Lec 93 - Generalized Taylor Series Approximation

Lec 94 - Visualizing Taylor Series for e^x

Lec 95 - Polynomial approximation of functions (part 1)

Lec 96 - Polynomial approximation of functions (part 2)

Lec 97 - Approximating functions with polynomials (part 3)

Lec 98 - Polynomial approximation of functions (part 4)

Lec 99 - Polynomial approximations of functions (part 5)

Lec 100 - Polynomial approximation of functions (part 6)