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5 Students

Course Details

Lessons

159

Skill Level

Beginner

Certificate

Available

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What You Will Learn?

  • Science and Engineering students will drastically improve their intuitive understanding and the feel for all the hard to understand concepts taught in Calculus at universities. That will simplify their Calculus studies at colleges greatly.
  • Science and Engineering students will also have an advanced skill to apply Calculus concepts to real life situations and in other technical courses that are heavily dependent on Calculus. This course will give a foundation that makes other courses much more understandable, intuitive, and enjoyable for them.
  • For working Scientists and Engineers, this course will course will close any gaps they might have from their university years. After this course, they will be able to better apply Calculus to their work, which can accelerate their success in their careers.
  • People in other careers that also need mathematics (finance, econometrics, math enthusiasts, etc.), this course will give them a very strong mathematical basis that they will benefit from in their work.

Description

Requirements

  • Addition, Subtraction, Multiplication, Division
  • Basic algebra

Curriculum

Section 1: Promotional Video 02:23
Section 2: Single variable functions 3:08:57
Section 3: Trigonometric functions 1:15:06
Section 4: Introduction to multidimensional functions 33:06
Section 5: Limits 1:02:26
Section 6: Derivatives - single variable 4:13:48
  • Derivatives - what are they - falling sphere example 1
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    13:02
  • Derivatives - what are they - falling sphere example 2
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    11:05
  • Derivatives - what are they - falling sphere example 3
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    14:42
Section 7: Vectors 4:10:10
  • Vectors in 2 dimensions - what are they
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    09:55
  • Apply the cross product - electron and magnetic field example
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    10:20
  • MEGA Application - Water tank example 1
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    06:38
Section 8: Transformations 51:28
  • 2D Cartesian VS Polar coordinate systems - what are they
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    10:22
Section 9: Parametric equations 4:04:13
  • Intro into Parametric Equations - Intuition
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    07:32
  • MEGA Application - Landing Airplane in 2D
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    07:03
  • MEGA Application - 2 joint robot - Angular position, velocity, and acceleration
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    19:00
Section 10: Multivariable Calculus 4:33:49
  • Partial derivatives - intro part 1
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    15:06
Section 11: Single variable integrals 4:40:18
Section 12: Multivariable integrals 1:14:36
Section 13: Intro into Differential Equations 28:51
Section 14: Extra wisdom 05:45
Section 15: Bonus Lecture - Other courses 02:06

About the Instructor

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Students 2
Courses 1

Aerospace & Robotics Engineer AND Online Teacher

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