The Mathematics for Engineers Prep Bundle

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9 Courses & 60 Hours
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What's Included

INTUITION MATTERS! Applied Calculus for Engineers: Part 1
  • Certification included
  • Experience level required: Beginner
  • Access 80 lectures & 11 hours of content 24/7
  • Length of time users can access this course: Lifetime

Course Curriculum

80 Lessons (11h)

  • Section 1: Single Variable Functions
    Functions - what are they - high school review 19:40
    Functions - what are they - high school review 210:13
    SIM: Straight line functions in motion3:31
    Practice functions - airplane homework9:12
    Abstract World VS Real World - 15:54
    Abstract World VS Real World - 25:44
    Straight line functions - How to manipulate them10:32
    Inverse functions - what are they and how to find them8:05
    Find inverse functions - example5:15
    Parabolic functions - How to manipulate them12:26
    Cubic functions - How to manipulate them6:13
    SIM: Car race exercise - who will win the race?1:03
    SIM: Car race exercise - who will win the race - SOLUTION2:46
    What is a function, what is not - 18:53
    What is a function, what is not - 26:25
    Inverse function of a parabola - how to find it6:09
    Inverse function of a cubic function- how to find it7:01
    Functions in general form - how to manipulate them10:49
    SIM: General functions in motion5:39
    Piecewise defined functions - how to form them10:27
    How to shift functions8:35
    How to do function operations12:07
    Practice function operations8:34
    Quadratic function roots - How to get them 111:00
    Quadratic function roots - How to get them 27:55
    Which terms dominate in functions7:23
    SIM: 3 airplane race - who wins, and when?1:19
  • Section 2: Trigonometric functions
    Pi number and circumference of a circle - what are they and how to get them13:27
    Radians VS Degrees & how to get the arc length of a circle11:39
    Sine function - where does it come from12:54
    Cosine and tangent function - where do they come from8:14
    Inverse of trigonometric functions - how to get them10:28
    Practice trigonometric functions - exercises4:43
    Abstract VS Real - Aerospace Engineering example13:41
    SIM: Avoid the crash - exercise3:50
    SIM: Avoid the crash - solution 11:48
    SIM: Avoid the crash - solution 24:35
    SIM: Avoid the crash - solution 32:53
    SIM: Avoid the crash - solution 46:41
    SIM: Avoid the crash - solution 55:15
    SIM: Avoid the crash - solution 61:56
    SIM: Avoid the crash - solution 73:56
    SIM: Avoid the crash - solution 81:08
    SIM: Avoid the crash - solution 94:56
    SIM: Avoid the crash - solution 101:01
  • Section 3: Multidimensional functions
    2 variable function - how to apply it to a simple airplane example12:42
    3 variable function - how to apply it to a simple airplane example9:16
    What is a function and what is not - multidimensional functions11:08
  • Section 4: Limits
    Variable equaling VS approaching something - what's the difference12:04
    Variable approaching infinity - what happens8:02
    Smart financial decision using limits - how to do it11:08
    Manipulate trigonometric functions in different ways - how11:03
    Model a wave with a trigonometric function - how12:19
    Get from a sine to a cosine function - exercise3:16
    Practice limits on a trigonometric function - does the limit exist?4:34
    SIM: Limit simulation3:05
    SIM: sin_limit simulation6:03
  • Section 5: Derivatives - single variable
    Derivatives - what are they - falling sphere example 113:02
    Derivatives - what are they - falling sphere example 211:05
    Derivatives - what are they - falling sphere example 314:42
    SIM: Earth, Mars, Moon - exercise3:27
    SIM: Earth, Mars, Moon - solution3:46
    Derivatives - What are they - multidimensional point of view7:33
    Practice your derivative intuition - exercises10:53
    chain rule - how to apply it to a multi link problem - water pipe example 111:20
    chain rule - how to apply it to a multi link problem - water pipe example 215:58
    Differential operators - What are they and how to apply them10:18
    Multilevel derivatives - double, triple, quadruple7:35
    Derivative rules - shortcuts 17:15
    Derivative rules - shortcuts 212:32
    Implicit VS Explicit functions - chain rule - water pipe example14:07
    Derivative rules - BIG exercise14:59
    Trigonometric function derivatives - how to take them 111:15
    Trigonometric function derivatives - how to take them 29:38
    Minimize the material used to produce a can - how to apply derivatives 114:20
    Minimize the material used to produce a can - how to apply derivatives 29:01
    Minimize the material used to produce a can - how to apply derivatives 316:39
    Exponential functions - what are they - how to manipulate them10:08
    Logarithmic functions & log scale - what are they & derivatives13:25
    Maximize your profit - how to apply derivatives for that14:09

INTUITION MATTERS! Applied Calculus for Engineers: Part 1

MM
Mark Misin

Mark Misin | Aerospace & Robotics Engineer

4.5/5 Instructor Rating: ★ ★ ★ ★


Mark Misin is an Aerospace & Robotics Engineer with a broad scope of interest. He’s set on a mission to elevate humanity’s knowledge, skills, and general love for science and engineering. How does he do it? He offers comprehensive courses on Applied Calculus for Engineering. Mark’s approach is to develop students’ skills to such a level when they can understand Calculus intuitively and learn to apply it. His course should drastically improve your intuitive understanding of the concepts of Calculus.

Mark Misin’s teaching approach is of benefit to many different professionals or college students as he presents essential information in a more simplified way. He focuses on applying Calculus at realistic work, which helps to accelerate students’ success making careers in the real world.

1,715 Total Students
167 Reviews

Description

Mere concept memorization just doesn't work. But if you truly understand something, that stays with you for good...and it can serve you for a long time. This course will give you strong intuition and understanding in Calculus, and you will be trained to apply it in real life. It will stay in your head for good — this is a GREAT investment! From single variable functions to differential equations, this course will brush up your calculus knowledge and develop it even more.

163 positive ratings from 1,715 students enrolled

  • Access 80 lectures & 11 hours of content 24/7
  • Develop strong intuition & understanding in Calculus
  • Understand basic concepts such as functions, limits & derivatives
  • Learn about calculus in Control Engineering
  • Learn how to apply Calculus in real life

"Applied Math made easy! The intuition side of math that gives life to the abstract subject. That is exactly what I was looking for." – Ghassan Electrical

Specs

Important Details

  • Length of time users can access this course: lifetime
  • Access options: web & mobile streaming
  • Certification of completion included
  • Redemption deadline: redeem your code within 30 days of purchase
  • Updates included
  • Experience level required: beginner

Requirements

  • Any device with basic specifications

Terms

  • Unredeemed licenses can be returned for store credit within 30 days of purchase. Once your license is redeemed, all sales are final.