Physics by Michel van Biezen

source: Michel van Biezen     2015年9月2日 / list compiled by CosmoLearning
Visit http://ilectureonline.com for more math and science lectures!

Chapter 0: General Intro (1 of 20) Standard SI for Length, Mass, and Time 4:56 In this video I will introduce the system of standard units that are commonly used in physics and other sciences.
0: General Intro (2 of 20) Dimensional Analysis (Unit Analysis) 7:57
0: General Intro (3 of 20) How to Determine Significant Figures 5:56
0: General Intro (4 of 20) How to Determine Significant Figures in Operations 8:35
0: General Intro (5 of 20) Introduction to Uncertainty in Measurements 6:51
0: General Intro (6 of 20) Finding Area with Uncertainty in Measurements 5:44
0: General Intro (7 of 20) Adding with Uncertainties in Measurements 0:58
0: General Intro (8 of 20) Subtracting with Uncertainties in Measurements 2:26
0: General Intro (9 of 20) Multiplying with Uncertainties in Measurements 4:39
0: General Intro (10 of 20) Dividing with Uncertainties in Measurements 3:30
0: General Intro (11 of 20) Uncertainties in Measurements - Squares and Roots 4:24
0: General Intro (12 of 20) How to Convert "Feet" to "Meters" 4:26
0: General Intro (13 of 20) How to Convert 1 Unit to Another Unit 7:11
0: General Intro (14 of 20) How to Estimate Number of Teachers in US 3:15
0: General Intro (15 of 20) Estimate Number of Blades of Grass on Soccer Field 2:47
0: General Intro (16 of 20) Understanding Coordinate Systems and Directions 2:23
0: General Intro (17 of 20) Basic Trigonometry for Physics - The Triangle 5:49
0: General Intro (18 of 20) Basic Trig for Physics - The Triangle (Sine) 3:55
0: General Intro (19 of 20) Basic Trig for Physics - The Triangle (Cosine) 2:07
0: General Intro (20 of 20) Basic Trig for Physics - The Triangle (Tangent) 3:02
Ch. 0.5: Standard Units (1 of 41) MKS (Meters, Kilograms, Seconds) 4:23
Ch. 0.5: Standard Units (2 of 41) Length in MKS, Imperial, and Maritime 4:46
Ch. 0.5: Standard Units (3 of 41) Maritime and Imperial Unit "Equivalence" 1 4:29
Ch. 0.5: Standard Units (4 of 41) Maritime and Imperial Unit "Equivalence" 2 4:49
Ch. 0.5: Standard Units (5 of 41) Standard Units in Mechanics 5:57
Ch. 0.5: Standard Units (6 of 41) Standard Units: Rotational Motion 4:21
Ch. 0.5: Standard Units (7 of 41) Stress and Strarin 2:51
Ch. 0.5: Standard Units (8 of 41) Units and Fluid 4:20
Ch. 0.5: Standard Units (9 of 41) The Wave Equation 5:03
Ch. 0.5: Standard Units (10 of 41) Sound 8:39
Ch. 0.5: Standard Units (11 of 41) Heat 3:19
Ch. 0.5: Standard Units (12 of 41) Specific Heat and Molar Heat Capacity 2:39
Ch. 0.5: Standard Units (13 of 41) Conduction, Thermal Conductivity, R-Rating 5:02
Ch. 0.5: Standard Units (14 of 41) The Ideal Gas Law 6:13
Ch. 0.5: Standard Units (15 of 41) Unit of Charge & Coulomb's Law 4:30
Ch. 0.5: Standard Units (16 of 41) The Electric Field 2:47
Ch. 0.5: Standard Units (17 of 41) Electric P.E. & Electrical Potential 6:24
Ch. 0.5: Standard Units (18 of 41) Electric Flux 4:15
Ch. 0.5: Standard Units (19 of 41) Capacitance 6:01
Ch. 0.5: Standard Units (20 of 41) Current, Resistivity, & Ohm's Law 7:18
Ch. 0.5: Standard Units (21 of 41) Magnetic Field 3:08
Ch. 0.5: Standard Units (22 of 41) Magnetic Flux 3:48
Ch. 0.5: Standard Units (23 of 41) Magnetic Field 2 7:18
Ch. 0.5: Standard Units (24 of 41) Mutual & Self Inductance 3:45
Ch. 0.5: Standard Units (25 of 41) Energy Stored in a Magnetic Field 4:33
Ch. 0.5: Standard Units (26 of 41) Energy in a L-C Circuit 3:43
Ch. 0.5: Standard Units (27 of 41) Reactance 6:23
Ch. 0.5: Standard Units (28 of 41) Power Dissipated in a Resistor 3:46
Ch. 0.5: Standard Units (29 of 41) Speed of Light 3:10
Ch. 0.5: Standard Units (30 of 41) E & M Waves 2:05
Ch. 0.5: Standard Units (31 of 41) The Poynting Vector 3:39
Ch. 0.5: Standard Units (32 of 41) Momentum Density of E&M Waves 4:34
Ch. 0.5: Standard Units (33 of 41) Flow Rate of E&M Momentum 4:33
Ch. 0.5: Standard Units (34 of 41) Energy in Special Relativity 7:00
Ch. 0.5: Standard Units (35 of 41) Energy & Momentum in a Photon 3:58
Ch. 0.5: Standard Units (36 of 41) The de Broglie Wavelength 4:45
Ch. 0.5: Standard Units (37 of 41) Planck Radiation (Black Body Radiation) 4:50
Ch. 0.5: Standard Units (38 of 41) Stefan Boltzmann Law 5:09
Ch. 0.5: Standard Units (39 of 41) What is an Electron Volt (eV)? 3:59
Ch. 0.5: Standard Units (40 of 41) What is the Decay Rate? 2:44
Ch. 0.5: Standard Units (41 of 41) What is the Atomic Mass Unit? 2:23
Mechanics: Vectors (1 of 21) What Is A Vector? 4:21
Mechanics: Vectors (2 of 21) Vector Notation 5:12
Mechanics: Vectors (3 of 21) Components And Magnitudes Of A Vector 5:31
Mechanics: Vectors (4 of 21) Finding The Components Of A Vector 5:19
Mechanics: Vectors (5 of 21) Adding Vectors Graphically - Parallelogram Method 2:15
Mechanics: Vectors (6 of 21) Adding Vectors Graphically - Tip-To-Toe Method 2:48
Mechanics: Vectors (7 of 21) Adding Vectors Numerically: Example 1 6:35
Mechanics: Vectors (8 of 21) Adding Vectors Numerically: Example 2 8:05
Mechanics: Vectors (9 of 21) Subtracting Vectors Graphically 1:44
Mechanics: Vectors (10 of 21) Subtracting Vectors Numerically 3:26
Mechanics: Vectors (11 of 21) Adding Force Vectors Numerically 6:14
Mechanics: Vectors (12 of 21) Product Of Vectors: Dot Product 5:58
Mechanics: Vectors (13 of 21) Product Of Vectors: Dot Product: Example 1 4:10
Mechanics: Vectors (14 of 21) Product Of Vectors: Dot Product: Example 2 5:52
Mechanics: Vectors (15 of 21) Product Of Vectors: Dot Product: Finding the Angle 5:55
Mechanics: Vectors (16 of 21) Product Of Vectors: Cross Product: Vector Product 9:04
Mechanics: Vectors (17 of 21) Product Of Vectors: Cross Product: Example 1 7:48
Mechanics: Vectors (18 of 21) Product Of Vectors: Cross Product: Example 2 5:33
Mechanics: Vectors (19 of 21) Finding The Direction Cosine 6:02
Mechanics: Vectors (20 of 21) Finding The Angle Between 2 Vectors 3:59
Mechanics: Vectors (21 of 21) Second Definition of the Dot Product 5:52

College Algebra by Dennis Allison at Utah Valley University

source: CosmoLearning         2017年8月1日
MATH1050: College Algebra by Dennis Allison at Utah Valley University
See full course at: https://cosmolearning.org/courses/col...

https://itunes.apple.com/us/podcast/math-1050-college-algebra-de/id439671745?mt=2

58:00 01) Review of Intermediate Algebra 
58:00 02. Cartesian Formulas and Circles 
58:00 03. Fundamental Graphs & Symmetry
58:00 04. Transformations and More
58:01 05. Models and Variations
58:01 06. Quadratic Functions
58:02 07. One to one and Inverse Functions
58:01 08. Study Guide for Exam 1 
58:01 09. Polynomial Functions
58:01 10. Polynomial Theorems
58:01 11. Finding the Roots of a Polynomial
58:01 12. Fundamental Theorem of Algebra 
58:01 13. Rational Functions
57:24 14. More Rational Functions
55:02 15. Study Guide for Exam 2
57:32 16. Exponential Functions
58:01 17. Applications of Logarithms
58:01 18. Laws of Logarithms and Log Graphs
58:01 19 Exponential and Logarithmic Equations
58:01 20 Applications of Exponential and Log Equations
58:01 21 Study Guide for Exam 3
58:07 22 Gaussian Elimination
58:04 23 The Gauss Jordan Method 
58:04 24 The Algebra of Matrices
58:02 25 Determinants
58:03 26 Systems of Inequalities
58:01 27 Study Guide for Exam 4
58:01 28 Parabolas
58:02 29 Ellipses
58:01 30 Hyperbolas
58:01 31 Sequences and Series
58:01 32 Arithmetic and Geometric Sequences and Series 
58:02 33 Annuities and Installment Buying
58:01 34 Study Guide for Exam 5
58:01 35 Mathematical Induction
58:06 36 The Binomial Theorem
58:07 37 Counting Principles
58:07 38 Probability
58:01 39 Study Guide for the Final Exam

Calculus II (Spring 2009) by John Griggs at NC State U

source: CosmoLearning        2017年8月14日
https://www.math.ncsu.edu/calculus/web/MA241lectures.html
MA 241 - Calculus II (Spring 2009) by John Griggs at NC State U

49:52 Lct1 Course Introduction
52:18 2 Review of Additional Integration Techniques Trig Integrals, Partial Fractions
49:24 3 Table of Integrals
50:38 4 Approximate Integration: Trapezoidal Rule
49:40 5 Approximate Integration: Simpson's Rule Cont, Error Bound
51:04 6 Improper Integrals: Infinite Intervals
50:14 7 Improper Integrals: Discontinuous Integrands, Comparison Theorem
51:11 8 Area Between Curves, Area Enclosed by Parametric Curves
49:46 9 Volumes: Solids of Revolution
47:39 10 Volumes: Cylindrical Shells
49:18 11 Arc Length
44:38 12 Average Value of a Function, Mean Value Theorem for Integrals
49:39 13 Review for Test #1 Part 1
49:19 14 Review for Test #1 Part 2
49:05 15 Applications to Physics and Engineering: Hooke's Law
51:00 16 Applications to Physics and Engineering: Pressure and Pumping Problems I
47:47 17 Applications to Physics and Engineering: Pressure and Pumping Problems II
49:13 18 Applications to Physics and Engineering: Moments and Centers of Mass
45:15 19 Modeling with Differential Equations
49:25 20 Direction Fields and Euler’s Method
50:18 21 Euler's Method and Separable Differential Equations
49:52 22 Separable Differential Equations: Orthogonal Trajectories
49:17 23 Separable Differential Equations: Tank Problems

History of Architecture I (Fall 2014) with Jacqueline Gargus at Ohio State U

source: CosmoLearning           2017年8月22日
https://knowlton.osu.edu/people/gargus
https://itunes.apple.com/us/course/history-of-architecture-i/id570008367
Prof. Jacqueline Gargus, Knowlton School of Architecture, Ohio State University. 
History of Architecture I (Arch 5110) is aimed at an audience of architecture students and traces thematic arcs to provide a conceptual overview of architectural history from pre-history through the nineteenth century. The intent is not to develop an historical or art historical argument, but rather to provide insight into the formal structure and technological challenges of the built environment. The ambition is to develop strategies that will help young architects make design decisions and better appreciate the richness of the material world as well as to understand the political and social implications of every architectural act.

45:07 01 Why Architects Should Study Architectural History
40:54 02 Introduction and Syllabus Discussion
41:53 03 Egyptian Architecture Part 1
42:29 04 Egyptian Architecture Part 2
18:58 05 Minoan & Mycenean compressed file
46:10 06 Greek Architecture Part 1
31:44 07 Greek Architecture Part 2
48:01 08 Roman Architecture Part 1
53:40 09 Roman Architecture Part 2
45:05 10 Early Christian Architecture
41:58 11 Byzantine Architecture
36:45 12 Islamic Architecture
34:19 13 Carolingian Architecture
38:38 14 Romanesque Architecture
38:32 15 Gothic Architecture Part 1 Early French Gothic
41:27 16 Gothic Architecture Part 2 High Gothic
30:21 17 Gothic Architecture Part 3 English Gothic
46:03 18 Gothic Architecture Part 4 Italian Gothic
49:43 19 Advent of the Renaissance
41:25 20 Brunelleschi
44:34 21 Alberti
49:05 22 Ideal Renaissance Towns
47:01 24 Rome Under Julius II
48:04 25 Michelangelo
47:43 26 Mannerist Gardens Part 1
48:13 27 Mannerist Gardens Part 2 
44:47 28 Palladio Part 1 Villas
41:51 29 Palladio Part 2 Churches and Urban Buildings
38:31 30 Italian Baroque Part 1 Introduction
34:47 31 Italian Baroque Part 2 Sixtus V
49:02 32 Baroque Part 3 Borromini & Bernini
45:31 33 Baroque 4 Urbanism
50:04 34 Baroque 5 Guarini
45:01 35 Central Europe Late Baroque
42:33 36 German Rococo
43:24 37 Baroque France
34:29 38 England Inigo Jones & Christopher Wren
29:53 39 England Hawksmoor and Vanbrugh
36:09 40 The Enlightenment
26:28 41 The Picturesque
45:43 42 English Romantic Gardens
44:56 43 Revival styles
42:02 44 John Soane
48:15 45 Architecture Parlante
49:08 46 18th c USA
41:09 47 German Romantic Classicism

Calculus Two: Sequences and Series (Fall 2013) with Jim Fowler at Ohio State U

source: Jim Fowler     2013年11月22日 / list compiled by CosmoLearning
https://stemoutreach.osu.edu/events/mooc-calculus-two-sequences-and-series...
https://www.coursera.org/learn/advanced-calculus
Subscribe at http://www.youtube.com/kisonecat

How can I succeed in this course? - Week 1 Introduction 1:08
What is a sequence? - Week 1 - Lecture 1 4:06
How is a sequence presented? - Week 1 - Lecture 2 5:46
Can the same sequence be presented in different ways? - Week 1 - Lecture 3 3:40
How can we build new sequences from old sequences? - Week 1 - Lecture 4 3:25
What is an arithmetic progression? - Week 1 - Lecture 5 2:19
What is a geometric progression? - Week 1 - Lecture 6 4:27
What is the limit of a sequence? - Week 1 - Lecture 7 4:43
Visually, what is the limit of a sequence? - Week 1 - Lecture 8 1:44
Is it easy to find the limit of a sequence? - Week 1 - Lecture 9 8:04
For some epsilon, how large need N be? - Week 1 - Lecture 10 4:10
How do sequences help with the square root of two? - Week 1 - Lecture 11 3:03
When is a sequence bounded? - Week 1 - Lecture 12 8:28
When is a sequence increasing? - Week 1 - Lecture 13 4:48
What is the Monotone Convergence Theorem? - Week 1 - Lecture 14 1:48
How can the Monotone Convergence Theorem help? - Week 1 - Lecture 15 5:45
Is there a sequence that includes every integer? - Week 1 - Lecture 16 4:47
Is there a sequence that includes every real number? - Week 1 - Lecture 17 5:21
What happens in Week 2? - Week 2 Introduction 1:21
What does sum a_k = L mean? - Week 2 - Lecture 1 3:54
Why does sum (1/2)^k = 2? - Week 2 - Lecture 2 5:21
What is the value of sum r^k for k = m to infinity? - Week 2 - Lecture 3 9:31
What is the value of sum r^k for k = m to infinity? - Week 2 - Lecture 4 7:06
What is sum 1/((k+1) * k)? - Week 2 - Lecture 5 10:11
Why does sum n/(n+1) diverge? - Week 2 - Lecture 6 10:15
Does sum 1/n converge or diverge? - Week 2 - Lecture 7 6:40
Does the series sum (sin^2 k)/(2^k) converge or diverge? - Week 2 - Lecture 8 3:52
What is the comparison test? - Week 2 - Lecture 9 8:27
How can grouping make the comparison test even better? - Week 2 - Lecture 10 6:20
Does sum 1/n^2 converge? - Week 2 - Lecture 11 9:01
In what sense does sum 9 * 10^(-n) equal one? - Week 2 - Lecture 12  5:06
In what sense is sum 9 + 90 + 900 + ... meaningful? - Week 2 - Lecture 13 9:41
What will happen in Week 3? - Week 3 Introduction 1:23
Does sum (n^5)/(4^n) converge? - Week 3 - Lecture 1 13:39
What does the ratio test say? - Week 3 - Lecture 2 7:52
Does the ratio test always work? - Week 3 - Lecture 3 5:35
Does sum (n!)/(n^n) converge? - Week 3 - Lecture 4 9:06
How does n! compare to n^n? - Week 3 - Lecture 5 6:13
Why don't I love the root test? - Week 3 - Lecture 6 3:41
How can integrating help us to address convergence? - Week 3 - Lecture 7 12:27
How else can I show sum 1/n diverges? - Week 3 - Lecture 8 5:06
Does sum 1/n^p converge? - Week 3 - Lecture 9 8:08
Does sum 1/(n log n) converge? - Week 3 - Lecture 10 7:40
How far out can you build a one-sided bridge? - Week 3 - Lecture 11 10:45
What is Week 4 all about? - Week 4 Introduction 1:15
Why have we been assuming the terms are positive? - Week 4 - Lecture 1 3:36
Why do absolutely convergent series just plain converge? - Week 4 - Lecture 2 5:21
Why is absolute convergence an important concept? - Week 4 - Lecture 3 3:38
What is conditional convergence? - Week 4 - Lecture 4 2:52
What is an alternating series? - Week 4 - Lecture 5 4:10
What is the alternating series test? - Week 4 - Lecture 6 11:04
How should I go about checking convergence? - Week 4 - Lecture 7 1:43
Why is monotonicity important for the AST? - Week 4 - Lecture 8 5:44
Why are alternating series important? - Week 4 - Lecture 9 6:10
Why is e irrational? - Week 4 - Lecture 10 8:42
When do two series share the same fate? - Week 4 - Lecture 11 5:54
Why can people get away with writing sum_n a_n? - Week 4 - Lecture 12 4:32
Why is this all so vague\ldots or coarse? - Week 4 - Lecture 13 6:06
What happens when I rearrange the terms in a series? - Week 4 - Lecture 14 7:19
What are power series? - Week 5 Introduction 3:04
For which values does a power series converge? - Week 5 - Lecture 1 3:48
Why does a power series converge absolutely? - Week 5 - Lecture 2 4:54
How complicated might the interval of convergence be? - Week 5 - Lecture 3 5:16
How do I find the radius of convergence? - Week 5 - Lecture 4 3:27
What if the radius of convergence is infinity? - Week 5 - Lecture 5 4:03
What if the radius of convergence is zero? - Week 5 - Lecture 6 3:27
What is a power series centered around a? - Week 5 - Lecture 7 4:07
Can I differentiate a power series? - Week 5 - Lecture 8 3:31
Can I integrate a power series? - Week 5 - Lecture 9 6:19
Why might I believe that sum (x^n)/(n!) is e^x? - Week 5 - Lecture 10 4:14
What happens if I multiply two power series? - Week 5 - Lecture 11 9:28
What happens if I transform 1/(1-x)? - Week 5 - Lecture 12 7:00
What is a formula for the Fibonacci numbers? - Week 5 - Lecture 13 12:13
What is this last week about? - Week 6 Introduction 2:11
What is better than a linear approximation? - Week 6 - Lecture 1 14:13
What is the Taylor series of f around zero? - Week 6 - Lecture 2 10:13
What is the Taylor series of f centered around a? - Week 6 - Lecture 3 4:40
What is the Taylor series for sin x around zero? - Week 6 - Lecture 4 4:37
What is Taylor's theorem? - Week 6 - Lecture 5 11:43
Why is the radius of convergence of 1/(1+x^2) so small? - Week 6 - Lecture 6 9:53
How is Taylor's theorem like the mean value theorem? - Week 6 - Lecture 7 8:05
Approximately, what is cos x when x is near zero? - Week 6 - Lecture 8 8:15
How do Taylor series provide intuition for limits? - Week 6 - Lecture 9 11:04
What is a real analytic function? - Week 6 - Lecture 10 4:55
How are real analytic functions like holograms? - Week 6 - Lecture 11 4:25

Calculus One by Jim Fowler at Ohio State U

source: Jim Fowler    2013年5月2日 / list compiled by CosmoLearning
https://zh-tw.coursera.org/learn/calculus1
https://math.osu.edu/people/fowler.291
This course is a first and friendly introduction to calculus, suitable for someone who has never seen the subject before, or for someone who has seen some calculus but wants to review the concepts and practice applying those concepts to solve problems.
Subscribe at http://www.youtube.com/kisonecat

Who will help me? - Week 1 Introduction 1:48
What is a function? - Week 1 - Lecture 1 11:20
When are two functions the same? - Week 1 - Lecture 2 5:58
How can more functions be made? - Week 1 - Lecture 3 3:26
What are some real-world examples of functions? - Week 1 - Lecture 4 6:57
What is the domain of square root? - Week 1 - Lecture 5 15:57
What is the limit of (x^2 - 1)/(x-1)? - Week 1 - Lecture 6 8:49
What is the limit of (sin x)/x? - Week 1 - Lecture 7 6:11
What is the limit of sin (1/x)? - Week 1 - Lecture 8 8:18
Morally, what is the limit of a sum? - Week 1 - Lecture 9 6:15
What is the limit of a product? - Week 1 - Lecture 10 2:14
What is the limit of a quotient? - Week 1 - Lecture 11 9:18
How fast does a ball move? - Week 1 - Lecture 12 16:43
Where are we in the course? - Week 2 Introduction 1:23
What is a one-sided limit? - Week 2 - Lecture 1 3:46
What does "continuous" mean? - Week 2 - Lecture 2 5:02
What is the intermediate value theorem? - Week 2 - Lecture 3 2:25
How can I approximate root two? - Week 2 - Lecture 4 10:21
Why is there an x so that f(x) = x? - Week 2 - Lecture 5 5:13
What does lim f(x) = infinity mean? - Week 2 - Lecture 6 5:25
What is the limit f(x) as x approaches infinity? - Week 2 - Lecture 7 4:44
Why is infinity not a real number? - Week 2 - Lecture 8 6:22
What is the difference between potential and actual infinity? - Week 2 - Lecture 9 2:50
What is the slope of a staircase? - Week 2 - Lecture 10 6:51
How fast does water drip from a faucet? - Week 2 - Lecture 11 5:22
What is the official definition of limit? - Week 2 - Lecture 12 3:35
Why is the limit of x^2 as x approaches 2 equal to 4? - Week 2 - Lecture 13 5:00
Why is the limit of 2x as x approaches 10 equal to 20? - Week 2 - Lecture 14 2:19
What comes next? Derivatives? - Week 3 Introduction 1:38
What is the definition of derivative? - Week 3 - Lecture 1 6:35
What is a tangent line? - Week 3 - Lecture 2 3:29
Why is the absolute value function not differentiable? - Week 3 - Lecture 3 2:39
How does wiggling x affect f(x)? - Week 3 - Lecture 4 3:30
Why is sqrt(9999) so close to 99.995? - Week 3 - Lecture 5 5:44
What information is recorded in the sign of the derivative? - Week 3 - Lecture 6 4:14
Why is a differentiable function necessarily continuous? - Week 3 - Lecture 7 6:02
What is the derivative of a constant multiple of f(x)? - Week 3 - Lecture 8 4:54
Why is the derivative of x^2 equal to 2x? - Week 3 - Lecture 9 12:22
What is the derivative of x^n? - Week 3 - Lecture 10 7:32
What is the derivative of x^3 + x^2? - Week 3 - Lecture 11 5:09
Why is the derivative of a sum the sum of derivatives? - Week 3 - Lecture 12 4:49
What will Week 4 bring us? - Week 4 Introduction 1:22
What is the derivative of f(x) g(x)? - Week 4 - Lecture 1 6:47
Morally, why is the product rule true? - Week 4 - Lecture 2 6:17
How does one justify the product rule? - Week 4 - Lecture 3 6:11
What is the quotient rule? - Week 4 - Lecture 4 4:11
How can I remember the quotient rule? - Week 4 - Lecture 5 5:58
What is the meaning of the derivative of the derivative? - Week 4 - Lecture 6 11:04
What does the sign of the second derivative encode? - Week 4 - Lecture 7 4:27
What does d/dx mean by itself? - Week 4 - Lecture 8  4:06
What are extreme values? - Week 4 - Lecture 9 7:24
How can I find extreme values? - Week 4 - Lecture 10 9:56
Do all local minimums look basically the same when you zoom in? - Week 4 - Lecture 11 3:56
How can I sketch a graph by hand? - Week 4 - Lecture 12 7:29
What is a function which is its own derivative? - Week 4 - Lecture 13 9:02
Is there anything more to learn about derivatives? - Week 5 Introduction 1:01
What is the chain rule? - Week 5 - Lecture 1 10:33
What is the derivative of (1+2x)^5 and sqrt(x^2 + 0.0001)? - Week 5 - Lecture 2 7:05
What is implicit differentiation? - Week 5 - Lecture 3 5:35
What is the folium of Descartes? - Week 5 - Lecture 4 4:42
How does the derivative of the inverse relate to the original? - Week 5 - Lecture 5 10:21
What is the derivative of log? - Week 5 - Lecture 6 6:56
What is logarithmic differentiation? - Week 5 - Lecture 7 4:26
How can we multiply quickly? - Week 5 - Lecture 8 8:49
How do we justify the power rule? - Week 5 - Lecture 9 11:18
How can logarithms help to prove the product rule? - Week 5 - Lecture 10 3:29
How do we prove the quotient rule? - Week 5 - Lecture 11 5:02
How does one prove the chain rule? - Week 5 - Lecture 12 6:49
What are transcendental functions? - Week 6 Introduction 2:05
Why does trigonometry work? - Week 6 - Lecture 1 3:13
Why are there these other trigonometric functions? - Week 6 - Lecture 2 4:49
What is the derivative of sine and cosine? - Week 6 - Lecture 3 10:05
What is the derivative of tan x? - Week 6 - Lecture 4 9:26
What are the derivatives of the other trigonometric functions? - Week 6 - Lecture 5 5:36
What is the derivative of sin(x^2)? - Week 6 - Lecture 6 4:37
What are inverse trigonometric functions? - Week 6 - Lecture 7 4:33
What are the derivatives of inverse trig functions? - Week 6 - Lecture 8 10:27
Why do sine and cosine oscillate? - Week 6 - Lecture 9 4:40
How can we get a formula for sin(a+b)? - Week 6 - Lecture 10 4:16
How can I approximate sin 1? - Week 6 - Lecture 11 3:27
How can we multiply numbers with trigonometry? - Week 6 - Lecture 12 4:12
What applications of the derivative will we do this week? - Week 7 Introduction 1:23
How can derivatives help us to compute limits? - Week 7 - Lecture 1 9:27
How can l'Hôpital help with limits not of the form 0/0? - Week 7 - Lecture 2 14:44
Why shouldn't I fall in love with l'Hôpital? - Week 7 - Lecture 3 8:16
How long until the gray goo destroys Earth? - Week 7 - Lecture 4 3:47
What does a car sound like as it drives past? - Week 7 - Lecture 5 3:58
How fast does the shadow move? - Week 7 - Lecture 6 5:12
How fast does the ladder slide down the building? - Week 7 - Lecture 7 3:52
How quickly does a bowl fill with green water? - Week 7 - Lecture 8 4:08
How quickly does the water level rise in a cone? - Week 7 - Lecture 9 7:01
How quickly does a balloon fill with air? - Week 7 - Lecture 10 3:46
What sorts of optimization problems will calculus help us solve? - Week 8 Introduction 1:39
What is the extreme value theorem? - Week 8 - Lecture 1 8:57
How do I find the maximum and minimum values of f on a given domain? - Week 8 - Lecture 2 9:07
Why do we have to bother checking the endpoints? - Week 8 - Lecture 3 4:16
Why bother considering where the function is not differentiable? - Week 8 - Lecture 4 7:18
How can you build the best fence for your sheep? - Week 8 - Lecture 5 8:50
How large can xy be if x + y = 24? - Week 8 - Lecture 6 5:43
How do you design the best soup can? - Week 8 - Lecture 7 10:33
Where do three bubbles meet? - Week 8 - Lecture 8 12:46
How large of an object can you carry around a corner? - Week 8 - Lecture 9 10:33
How short of a ladder will clear a fence? - Week 8 - Lecture 10 4:04
What is up with all the numerical analysis this week? - Week 9 Introduction 1:35
Where does f(x+h) = f(x) + h f'(x) come from? - Week 9 - Lecture 1 6:00
What is the volume of an orange rind? - Week 9 - Lecture 2 6:42
What happens if I repeat linear approximation? - Week 9 - Lecture 3 10:34
Why is log 3 base 2 approximately 19/12? - Week 9 - Lecture 4 10:22
What does dx mean by itself? - Week 9 - Lecture 5 5:39
What is Newton's method? - Week 9 - Lecture 6 9:56
What is a root of the polynomial x^5 + x^2 - 1? - Week 9 - Lecture 7 6:56
How can Newton's method help me to divide quickly? - Week 9 - Lecture 8 7:26
What is the mean value theorem? - Week 9 - Lecture 9 6:52
Why does f'(x) positive imply that f is increasing? - Week 9 - Lecture 10 5:11
Should I bother to find the point c in the mean value theorem? - Week 9 - Lecture 11 4:28
What does it mean to antidifferentiate? - Week 10 Introduction 2:21
How do we handle the fact that there are many antiderivatives? - Week 10 - Lecture 1 5:27
What is the antiderivative of a sum? - Week 10 - Lecture 2 3:44
What is an antiderivative for x^n? - Week 10 - Lecture 3 7:37
What is the most general antiderivative of 1/x? - Week 10 - Lecture 4 4:15
What are antiderivatives of trigonometric functions? - Week 10 - Lecture 5 5:45
What are antiderivatives of e^x and natural log? - Week 10 - Lecture 6 2:46
How difficult is factoring compared to multiplying? - Week 10 - Lecture 7 5:31
What is an antiderivative for e^(-x^2)? - Week 10 - Lecture 8 4:50
What is the antiderivative of f(mx+b)? - Week 10 - Lecture 9 5:20
Knowing my velocity, what is my position? - Week 10 - Lecture 10 3:18
Knowing my acceleration, what is my position? - Week 10 - Lecture 11 4:25
What is the antiderivative of sine squared? - Week 10 - Lecture 12 3:19
What is a slope field? - Week 10 - Lecture 13 4:57
If we are not differentiating, what are we going to do? - Week 11 Introduction 2:58
How can I write sums using a big Sigma? - Week 11 - Lecture 1 5:11
What is the sum 1 + 2 + ... + k? - Week 11 - Lecture 2 6:12
What is the sum of the first k odd numbers? - Week 11 - Lecture 3 4:16
What is the sum of the first k perfect squares? - Week 11 - Lecture 4 6:48
What is the sum of the first k perfect cubes? - Week 11 - Lecture 5 5:58
What does area even mean? - Week 11 - Lecture 6 7:10
How can I approximate the area of a curved region? - Week 11 - Lecture 7 9:58
What is the definition of the integral of f(x) from x = a to b? - Week 11 5:49
What is the integral of x^2 from x = 0 to 1? - Week 11 - Lecture 9 8:10
What is the integral of x^3 from x = 1 to 2? - Week 11 - Lecture 10 8:37
When is the accumulation function increasing? Decreasing? - Week 11 4:45
What sorts of properties does the integral satisfy? - Week 11 - Lecture 12 4:43
What is the integral of sin x dx from -1 to 1? - Week 11 - Lecture 13 3:16
What is the big deal about the fundamental theorem of calculus? - Week 12 Introduction 2:14
What is the fundamental theorem of calculus? - Week 12 - Lecture 1 5:33
How can I use the fundamental theorem of calculus to integrate? - Week 12 - Lecture 2 6:08
What is the integral of sin x dx from x = 0 to x = pi? - Week 12 - Lecture 3 3:33
What is the integral of x^4 dx from x = 0 to x = 1? - Week 12 - Lecture 4 4:16
What is the area between the graphs of y = sqrt(x) and y = x^2? - Week 12 - Lecture 5 6:27
What is the area between the graphs of y = x^2 and y = 1 - x^2? - Week 12 - Lecture 6 6:31
What is the accumulation function for sqrt(1-x^2)? - Week 12 - Lecture 7 8:40
Why does the Euler method resemble a Riemann sum? - Week 12 - Lecture 8 4:30
In what way is summation like integration? - Week 12 - Lecture 9 2:32
What is the sum of n^4 for n = 1 to n = k? - Week 12 - Lecture 10 9:25
Physically, why is the fundamental theorem of calculus true? - Week 12 - Lecture 11 4:01
What is d/da integral f(x) dx from x = a to x = b? - Week 12 - Lecture 12 5:07
How is this course structured? - Week 13 Introduction 2:16
How does the chain rule help with antidifferentiation? - Week 13 - Lecture 1 5:32
When I do u-substitution, what should u be? - Week 13 - Lecture 2 7:11
How should I handle the endpoints when doing u-substitution? - Week 13 - Lecture 3 5:14
Might I want to do u-substitution more than once? - Week 13 - Lecture 4 4:23
What is the integral of dx / (x^2 + 4x + 7)? - Week 13 - Lecture 5 9:05
What is the integral of (x+10)(x-1)^10 dx from x = 0 to x = 1? - Week 13 - Lecture 6 5:37
What is the integral of x / (x+1)^(1/3) dx? - Week 13 - Lecture 7 3:55
What is the integral of dx / (1 + cos x) ? - Week 13 - Lecture 8 4:17
What is d/dx integral sin t dt from t = 0 to t = x^2? - Week 13 - Lecture 9 3:52
Formally, why is the fundamental theorem of calculus true? - Week 13 - Lecture 10 6:14
Without resorting to the FTC, why does substitution work? - Week 13 - Lecture 11 3:49
What remains to be done? - Week 14 Introduction 1:30
What antidifferentiation rule is the product rule in reverse? - Week 14 - Lecture 1 5:06
What is an antiderivative of x e^x? - Week 14 - Lecture 2 4:14
How does parts help when antidifferentiating log x? - Week 14 - Lecture 3 2:03
What is an antiderivative of e^x cos x? - Week 14 - Lecture 4 6:13
What is an antiderivative of e^(sqrt(x))? - Week 14 - Lecture 5 3:26
What is an antiderivative of sin^(2n+1) x cos^(2n) x dx? - Week 14 - Lecture 6 5:51
What is the integral of sin^(2n) x dx from x = 0 to x = pi? - Week 14 - Lecture 7 8:02
What is the integral of sin^n x dx in terms of sin^(n-2) x dx? - Week 14 - Lecture 8 11:34
Why is pi less than 22/7? - Week 14 - Lecture 9 8:26
What application of integration will we consider? - Week 15 Introduction 1:46
What happens when I use thin horizontal rectangles to compute area? - Week 15 - Lecture 1 6:38
When should I use horizontal as opposed to vertical pieces? - Week 15 - Lecture 2 5:47
What does "volume" even mean? - Week 15 - Lecture 3 4:48
What is the volume of a sphere? - Week 15 - Lecture 4 6:04
How do washers help to compute the volume of a solid of revolution? - Week 15 - Lecture 5 5:20
What is the volume of a thin shell? - Week 15 - Lecture 6 7:49
What is the volume of a sphere with a hole drilled in it? - Week 15 - Lecture 7 7:39
What does "length" even mean? - Week 15 - Lecture 8 4:17
On the graph of y^2 = x^3, what is the length of a certain arc? - Week 15 - Lecture 9 4:16
This title is missing a question mark. - Week 15 - Lecture 10 1:16