TTC Math - Calculus Collection


360p - Understanding Calculus II (2013) x265
01  Basic Functions of Calculus & Limits
02  Differentiation Warm-Up
03  Integration Warm-Up
04  Differential Equations, Growth & Decay
05  Applications of Differential Equations
06  Linear Differential Equations
07  Areas & Volumes
08  Arc Length, Surface Area & Work
09  Moments, Center of Mass, & Centroids
10  Integration by Parts
11  Trigonometric Integrals
12  Integration by Trigonometric Substitution
13  Integration by Partial Fractions
14  Indeterminate Forms & L'Hopital's Rule
15  Improper Integrals
16  Sequences & Limits
17  Infinite Series, Geometric Series
18  Series, Divergence, & The Cantor Test
19  Harmonic Series, p-Series
20  The Comparison Tests
21  Alternating Series
22  The Ratio & Root Tests
23  Taylor Polynomials & Approximations
24  Power Series & Intervals of Convergence
25  Representation of Functions by Power Series
26  Taylor & Maclaurin Polynomials
27  Parabolas, Ellipses & Hyperbolas
28  Parametric Equations and the Cycloid
29  Polar Coordinates & The Cardioid
30  Area & Arc Length in Polar Coordinates
31  Vectors in the Plance
32  The Dot Product of Two Vectors
33  Vector - Valued Functions
34  Velocity and Acceleration
35  Acceleration's Tangent and Normal Vectors
36  Curvature & the Maximum Bend of a Curve
Understanding Calculus II.pdf


360p - Understanding Multivariable Calculus (2014) x265
01 A Visual Introduction to 3-D Calculus
02 Functions of Several Variables
03 Limits, Continuity, and Partial Derivatives
04 Partial Derivatives—One Variable at a Time
05 Total Differentials and Chain Rules
06 Extrema of Functions of Two Variables
07 Applications to Optimization Problems
08 Linear Models and Least Squares Regression
09 Vectors and the Dot Product in Space
10 The Cross Product of Two Vectors in Space
11 Lines and Planes in Space
12 Curved Surfaces in Space
13 Vector-Valued Functions in Space
14 Kepler’s Laws—The Calculus of Orbits
15 Directional Derivatives and Gradients
16 Tangent Planes and Normal Vectors to a Surface
17 Lagrange Multipliers—Constrained Optimization
18 Applications of Lagrange Multipliers
19 Iterated Integrals and Area in the Plane
20 Double Integrals and Volume
21 Double Integrals in Polar Coordinates
22 Centers of Mass for Variable Density
23 Surface Area of a Solid
24 Triple Integrals and Applications
25 Triple Integrals in Cylindrical Coordinates
26 Triple Integrals in Spherical Coordinates
27 Vector Fields—Velocity, Gravity, Electricity
28 Curl, Divergence, Line Integrals
29 More Line Integrals and Work by a Force Field
30 Fundamental Theorem of Line Integrals
31 Green’s Theorem—Boundaries and Regions
32 Applications of Green’s Theorem
33 Parametric Surfaces in Space
34 Surface Integrals and Flux Integrals
35 Divergence Theorem—Boundaries and Solids
36 Stokes’s Theorem and Maxwell’s Equations
Understanding Multivariable Calculus.pdf


480p - Change and Motion - Calculus Made Clear (2006) x265
00 - Introduction to the Professor
01 - Two Ideas, Vast Implications
02 - Stop Sign Crime - The First Idea of Calculus - The Derivative
03 - Another Car, Another Crime - The Second Idea of Calculus - The Integral
04 - The Fundamental Theorem of Calculus
05 - Visualizing the Derivative - Slopes
06 - Derivatives the Esay Way - Symbol Pushing
07 - Abstracting the Derivative - Slopes
08 - Circles, Pyramids, Cones and Spheres
09 - Archimedes and the Tractix
10 - The Integral and the Fundamental Theorem
11 - Abstracting the Integral - Pyramids and Dams
12 - Buffon's Needle or Pi from Breadsticks
13 - Achilles, Tortoises, Limits and Continuity
14 - Calculators and Approximations
15 - The Best of All Possible World - Optimization
16 - Economics and Architecture
17 - Galileo, Newton and Baseball
18 - Getting Off the Line - Motion in Space
19 - Mountain Slopes and Tangent Planes
20 - Several Variables - Volumes Galore
21 - The Fundamental Theorem Extended
22 - Fields of Arrows - Differential Equations
23 - Owls, Rats, Waves and Guitars
24 - Calculus Everywhere
Calculus Made Clear - Part I.pdf
Calculus Made Clear - Part II.pdf


480p - Mathematics Describing the Real World - Precalculus and Trigonometry (2011) x265
00. Professor Bio
01. An Introduction to Precalculus—Functions
02. Polynomial Functions and Zeros
03. Complex Numbers
04. Rational Functions
05. Inverse Functions
06. Solving Inequalities
07. Exponential Functions
08. Logarithmic Functions
09. Properties of Logarithms
10. Exponential and Logarithmic Equations
11. Exponential and Logarithmic Models
12. Introduction to Trigonometry and Angles
13. Trigonometric Functions—Right Triangle Definition
14. Trigonometric Functions—Arbitrary Angle Definition
15. Graphs of Sine and Cosine Functions
16. Graphs of Other Trigonometric Functions
17. Inverse Trigonometric Functions
18. Trigonometric Identities
19. Trigonometric Equations
20. Sum and Difference Formulas
21. Law of Sines
22. Law of Cosines
23. Introduction to Vectors
24. Trigonometric Form of a Complex Number
25. Systems of Linear Equations and Matrices
26. Operations with Matrices
27. Inverses and Determinants of Matrices
28. Applications of Linear Systems and Matrices
29. Circles and Parabolas
30. Ellipses and Hyperbolas
31. Parametric Equations
32. Polar Coordinates
33. Sequences and Series
34. Counting Principles
35. Elementary Probability
36. GPS Devices and Looking Forward to Calculus
Mathematics Describing the Real World - Precalculus and Trigonometry.pdf


480p - Understanding Calculus - Problems, Solutions, And Tips (2010) x265
00. Professor Bio
01. A Preview of Calculus
02. Review - Graphs, Models, and Functions
03. Review - Functions and Trigonometry
04. Finding Limits
05. An Introduction to Continuity
06. Infinite Limits and Limits at Infinity
07. The Derivative and the Tangent Line Problem
08. Basic Differentiation Rules
09. Product and Quotient Rules
10. The Chain Rule
11. Implicit Differentation and Related Rates
12. Extrema on an Interval
13. Increasing and Decreasing Functions
14. Concavity and Points of Inflection
15. Curve Sketching and Linear Approximations
16. Applications - Optimization Problems, Part 1
17. Applications - Optimization Problems, Part 2
18. Antiderivatives and Basic Integration Rules
19. The Area Problem and The Definite Intregral
20. The Fundamental Theorem of Calculus, Part 1
21. The Fundamental Theorem of Calculus, Part 2
22. Integration by Substitution
23. Numerical Integration
24. Natural Logarithmic Function - Differentiation
25. Natural Logarithmic Function - Integration
26. Exponential Function
27. Bases Other than e
28. Inverse Trigonometric Functions
29. Area of a Region Between 2 Curves
30. Volume - The Disk Method
31. Volume - The Shell Method
32. Applications - Arc Length and Surface Area
33. Basic Integration Rules
34. Other Techniques of Integration
35. Differential Equations snd Slope Fields
36. Applications of Differential Equations