Become a Calculus 1 & 2 & 3 Master is the name of a training course from the Udemy website that fully teaches you the calculus and integrals 1, 2 and 3. This course contains over 900 math tests plus an answer that maximizes your skills. The topics of this course will help you to easily solve the most complex mathematical problems and get an understanding of mathematical science. The course instructor initially begins with the basics and offers a different and simple solution for each issue.

This training is provided in three separate courses, and will teach you the discussions of integral calculus 1, 2, and 3. In Calculus and Integrals 1, you become familiar with the basic discussion of calculus, derivatives , derivatives, and contiguity. You will get acquainted with the calculus and integral 2 with a variety of integrals, integral applications, parametric equations, polar coordinates, and sequences. In the Calculus section, you also learn about partial derivatives, multiple integrals, vectors, and differential equations.

### **Courses taught in this course:**

- Understanding the basic discussions of accounts
- Training of Derivatives and Applications of Derivatives
- Extent and continuity
- Understanding the types of integrals and their applications
- Parametric Equations and Polar Coordinates
- Familiarity with sequence and series
- Partial derivative training and multiple integrals
- Introduction to Vectors and Differential Equations

### Course details Become a Calculus 1 & 2 & 3 Master

- English language
- Duration: 83 hours and 50 minutes
- Number of lessons: 1055
- Teacher: Krista King
- File Format: mp4

## Course topics:

#### **Calculus 1:**

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

5 lectures

08:37

Limits & Continuity – Formal definition of the limit

9 lectures

33:41

Limits & Continuity – Combinations and Composites

5 lectures

31:23

Limits & Continuity – Continuity

8 lectures

29:24

Limits & Continuity – Intermediate value theorem

7 lectures

18:45

Limits & Continuity – Solving limits

16 lectures

45:28

Limits & Continuity – Squeeze Theorem

6 lectures

08:26

Derivatives – Definition of the derivative

7 lectures

23:30

Derivatives – Derivative rules

16 lectures

01:05:57

Derivatives – Chain rule

11 lectures

28:25

Derivatives – Derivatives of trig functions

13 lectures

43:22

Derivatives – Derivatives of ln (x) and e ^ x

11 lectures

40:31

Derivatives – Tangent and normal lines

13 lectures

57:15

Derivatives – Implicit differentiation

10 lectures

38:59

Applications of Derivatives – Optimization

10 lectures

01:00:05

Applications of Derivatives – Sketching graphs

10 lectures

01:15:46

Applications of Derivatives – Linear approximation

7 lectures

17:10

Applications of Derivatives – Related Rates

10 lectures

46:01

Applications of Derivatives – Applied Optimization

22 lectures

03:06:16

Applications of Derivatives – Derivative theorems

13 lectures

39:26

Applications of Derivatives – Physics

9 lectures

43:41

Applications of Derivatives – Economics

5 lectures

07:48

Applications of Derivatives – Exponential growth and decay

9 lectures

17:55

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 sum

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 integral 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

### Course Requirements Become a Calculus 1 & 2 & 3 Master

- You should have a decent foundation (but it does not 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.

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