Udemy – Become a Calculus 1 & 2 & 3 Master 2019-9

Description

Become a Calculus 1 & 2 & 3 Master is the name of a training course from Udemy website that completely teaches you the topics of calculus 1, 2 and 3. This course contains over 900 math tests with answers that will greatly enhance your skills. The topics in this course will help you to easily solve even the most complex mathematical problems and gain an understanding of mathematics. The instructor starts his work from the basic topics and proposes a different and simple solution to each problem.

This tutorial is prepared in three separate courses and teaches you the topics of calculus 1, 2 and 3. In Calculus 1, you will learn the basics of arithmetic, derivative types, derivative applications, and limits. In Differential and Integral Calculus 2, you will learn about the types of integrals, integral applications, parametric equations and polar coordinates, and sequences. In Calculus 3, you will also learn about partial derivatives, multiple integrals, vectors, and differential equations.

Things to be taught in this course:

Familiarity with the basics of arithmetic

Teaching different types of derivatives and applications of derivatives

Extent and continuity

Familiarity with different types of integrals and their applications

Parametric equations and polar coordinates

Familiarity with the sequence and series

Teaching partial derivatives and multiple integrals

Familiarity with differential vectors and equations

Become a Calculus 1 & 2 & 3 Master course specifications

English language

Duration: 83 hours and 50 minutes

Number of courses: 1055

Instructor: Krista King

File format: mp4

Become a Calculus Master course topics

Calculus 1: 2019/12

Course content 283 lectures 16:39:24

Calculus 1 – Introduction & Resources 2 lectures 01:45

Foundations of Calculus – Functions 11 lectures 20:30

Foundations of Calculus – Graphing functions 13 lectures 53:51

Foundations of Calculus – Modifying functions 6 lectures 25:49

Foundations of Calculus – Inverse functions and logarithms 8 lectures 21:24

Foundations of Calculus – Other functions and trigonometry 10 lectures 33:27

Limits & Continuity – Idea of the limit 11 lectures 35:17

Limits & Continuity – Combinations and composites 7 lectures 31:25

Limits & Continuity – Continuity 10 lectures 25:55

Limits & Continuity – Intermediate value theorem 7 lectures 14:09

Limits & Continuity – Solving limits 18 lectures 51:48

Limits & Continuity – Squeeze theorem 7 lectures 08:26

Derivatives – Definition of the derivative 5 lectures 13:00

Derivatives – Derivative rules 15 lectures 52:53

Derivatives – Chain rule 9 lectures 23:13

Derivatives – Derivatives of trig functions 11 lectures 33:48

Derivatives – Derivatives of ln(x) and e^x 9 lectures 20:23

Derivatives – Tangent and normal lines 13 lectures 42:54

Derivatives – Implicit differentiation 9 lectures 26:48

Applications of Derivatives – Optimization and sketching graphs 21 lectures 02:06:33

Applications of Derivatives – Linear approximation 8 lectures 13:19

Applications of Derivatives – Related rates 13 lectures 37:59

Applications of Derivatives – Applied optimization 22 lectures 03:06:16

Applications of Derivatives – Derivative theorems 11 lectures 29:57

Applications of Derivatives – Physics 10 lectures 43:40

Applications of Derivatives – Economics 5 lectures 07:49

Applications of Derivatives – Exponential growth and decay 10 lectures 17:54

Final exam and wrap-up 2 lectures 00:56

Calculus 2:

Getting started 2 lectures 01:45

Integrals – Antiderivatives and indefinite integrals 11 lectures 45:04

Integrals – Definite integrals 8 lectures 24:31

Integrals – Riemann sums 9 lectures 47:31

Integrals – Other approximation methods 9 lectures 01:00:45

Integrals – Error bounds 6 lectures 01:03:32

Integrals – Fundamental theorem of calculus 7 lectures 26:22

Integrals – U-substitution 6 lectures 19:30

Integrals – Integration by parts 11 lectures 57:42

Integrals – Partial fractions 16 lectures 02:47:43

Integrals – Trigonometric integrals 14 lectures 01:11:46

Integrals – Hyperbolic integrals 6 lectures 07:20

Integrals – Trigonometric substitution 11 lectures 01:45:18

Integrals – Improper integrals 12 lectures 01:11:55

Integrals – Reduction formulas 3 lectures 07:59

Applications of Integrals – Area between curves 7 lectures 35:32

Applications of Integrals – Arc length 6 lectures 29:58

Applications of Integrals – Average value 6 lectures 10:47

Applications of Integrals – Surface area of revolution 6 lectures 27:15

Applications of Integrals – Volume of revolution 16 lectures 02:23:50

Applications of Integrals – Work 10 lectures 39:27

Applications of Integrals – Physics 14 lectures 44:41

Applications of Integrals – Geometry 6 lectures 34:29

Applications of Integrals – Economics 11 lectures 42:51

Applications of Integrals – Probability 4 lectures 07:33

Applications of Integrals – Biology 7 lectures 31:57

Polar & Parametric – Introduction to parametric curves 10 lectures 20:37

Polar & Parametric – Calculus with parametric curves 18 lectures 01:40:01

Polar & Parametric – Introduction to polar curves 14 lectures 45:08

Polar & Parametric – Calculus with polar curves 21 lectures 01:41:12

Sequences & Series – Introduction to sequences 15 lectures 50:26

Sequences & Series – Partial sums 5 lectures 10:29

Sequences & Series – Geometric series 9 lectures 37:16

Sequences & Series – Telescoping series 6 lectures 16:39

Sequences & Series – Basic convergence tests 11 lectures 29:11

Sequences & Series – Comparison tests 8 lectures 29:19

Sequences & Series – Ratio and root tests 9 lectures 38:32

Sequences & Series – Alternating series test 6 lectures 27:34

Sequences & Series – Power series 19 lectures 02:06:27

Sequences & Series – Taylor series 8 lectures 41:44

Sequences & Series – Maclaurin series 12 lectures 56:09

Final exam and wrap-up 2 lectures 00:57

Calculus 3:

Getting started 2 lectures 01:45

Partial Derivatives – Three-dimensional coordinate systems 10 lectures 42:46

Partial Derivatives – Sketching graphs and level curves 3 lectures 18:47

Partial Derivatives – Lines and planes 21 lectures 01:39:02

Partial Derivatives – Cylinders and quadric surfaces 5 lectures 23:49

Partial Derivatives – Limits and continuity 8 lectures 01:05:49

Partial Derivatives – Partial derivatives 8 lectures 20:12

Partial Derivatives – Differentials 4 lectures 05:11

Partial Derivatives – Chain rule 5 lectures 28:24

Partial Derivatives – Implicit differentiation 4 lectures 09:03

Partial Derivatives – Directional derivatives 5 lectures 14:25

Partial Derivatives – Linear approximation and linearization 5 lectures 14:09

Partial Derivatives – Gradient vectors 7 lectures 15:03

Partial Derivatives – Tangent planes and normal lines 6 lectures 17:29

Partial Derivatives – Optimization 9 lectures 01:06:52

Partial Derivatives – Applied optimization 6 lectures 42:38

Partial Derivatives – Lagrange multipliers 7 lectures 49:15

Multiple Integrals – Approximating double integrals 5 lectures 38:06

Multiple Integrals – Double integrals 13 lectures 01:26:44

Multiple Integrals – Double integrals in polar coordinates 10 lectures 53:25

Multiple Integrals – Applications of double integrals 2 lectures 12:14

Multiple Integrals – Approximating triple integrals 3 lectures 12:12

Multiple Integrals – Triple integrals 10 lectures 01:02:28

Multiple Integrals – Triple integrals in cylindrical coordinates 7 lectures 30:23

Multiple Integrals – Triple integrals in spherical coordinates 7 lectures 29:32

Multiple Integrals – Change of variables 5 lectures 16:55

Multiple Integrals – Applications of triple integrals 3 lectures 19:02

Vectors – Introduction to vectors 11 lectures 54:44

Vectors – Dot products 19 lectures 01:04:52

Vectors – Cross products 11 lectures 39:11

Vectors – Vector functions and space curves 12 lectures 49:33

Vectors – Derivatives and integrals of vector functions 9 lectures 32:06

Vectors – Arc length and curvature 13 lectures 01:15:18

Vectors – Velocity and acceleration 8 lectures 32:47

Vectors – Line integrals 11 lectures 01:30:30

Vectors – Green’s theorem 5 lectures 22:05

Vectors – Curl and divergence 3 lectures 30:14

Vectors – Parametric surfaces and areas 6 lectures 47:28

Vectors – Surface integrals 3 lectures 22:53

Vectors – Stokes’ and divergence theorem 3 lectures 53:09

Differential Equations – Introduction 4 lectures 08:44

Differential Equations – Euler’s method 3 lectures 18:04

Differential Equations – Separable differential equations 11 lectures 44:16

Differential Equations – Logistic models 7 lectures 42:09

Differential Equations – Exact differential equations 4 lectures 26:52

Differential Equations – Linear differential equations 6 lectures 26:29

Differential Equations – Second-order homogeneous 18 lectures 01:23:04

Differential Equations – Second-order nonhomogeneous 11 lectures 02:01:08

Differential Equations – Laplace transforms 5 lectures 19:06

Differential Equations – Methods of Laplace transforms 6 lectures 52:41

Differential Equations – Advanced Laplace transforms 3 lectures 17:47

Final exam and wrap-up 2 lectures 00:51

Prerequisites for the Become a Calculus 1 & 2 & 3 Master course

You should have a decent foundation (but it doesn’t have to be perfect! :D) in Algebra.

If you have some experience with Trigonometry and Precalculus, that will definitely be helpful, but it’s not absolutely necessary.

User manual

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English subtitle

Quality: 720p