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Quick Facts

Medium Of InstructionsMode Of LearningMode Of Delivery
EnglishSelf StudyVideo and Text Based

Course Overview

Calculus and differential equations make up the most essential concepts in engineering. The Engineering Calculus and Differential Equations certification syllabus will help you understand the ways to find out voltages and currents in connected network components or how an exploratory probe is launched by flight engineers.

Furthermore, the Engineering Calculus and Differential Equations course by Edx touches upon the fundamentals of single-variable calculus and ordinary differential equations. The course is application-oriented and helps in applying mathematical skills to solve real-world engineering problems. It will also help you control and monitor a system as per your needs.

The Engineering Calculus and Differential Equations online course is offered by the University of Hong Kong. The online course faculty includes professors Kwok Wing Chow and Kai Man Tsang, with experience in mathematics and mechanical engineering. The program also equips you with the skills to construct a simple model of change and to arrive at consequences. 

The candidates may enroll in this course for free or by paying a certain amount of money. There are 2 tracks namely verified or audit track which offers direct access to the course materials. If the candidates opt for the verified mode they are entitled to unlimited access and if they opt for the audit access, they are going to receive only limited access to the course materials.

The Highlights

  • Video transcripts
  • Short course
  • Introductory level course
  • Certificate on completion
  • Beginner-level course
  • Limited audit for free
  • Experienced faculty
  • Self-paced study
  • Shareable certificate

Programme Offerings

  • Short course
  • Video transcripts
  • Audit for free
  • Self-paced study
  • certificate on completion
  • Introductory Level Course
  • Shareable Certificate
  • Beginner-level Course
  • experienced faculty

Courses and Certificate Fees

Fees InformationsCertificate AvailabilityCertificate Providing Authority
INR 4175yesHKU Hong Kong

Engineering Calculus and Differential Equations certification fees are not chargeable if you want to audit for free. However, to receive a certificate, you must pay ₹4,130

Engineering Calculus and Differential Equations fee structure 

Course option

Fee 

Engineering Calculus and Differential Equations (Audit only)

Free

Engineering Calculus and Differential Equations (With certificate)

₹4,175


Eligibility Criteria

Engineering Calculus and Differential Equations online programme does not have any prerequisites and can be pursued by anyone interested in learning mathematics, irrespective of their educational background.

What you will learn

Mathematical skill

Once the Engineering Calculus and Differential Equations certification syllabus is completed, you will have learned the following: 

  • All about the application of derivatives
  • Understanding Cauchy-Euler equations and constant coefficients
  • All about finding solutions for engineering problems
  • Parametric equations and polar coordinates
  • All about formulating a mathematical problem
  • All about first engineering differential equations and first-order equations
  • Understanding how to formulate the mathematical problem
  • Limits, continuity, and differentiation
  • Understanding the application of definite integrals
  • Exploring homogeneous, exact equations and inhomogeneous equations
  • All about techniques of integration
  • Understanding homogeneous linear equations and constant coefficients
  • Finding ways to identify appropriate calculus and ordinary differential equations

Who it is for

The Engineering Calculus and Differential Equations certification is for all candidates interested in deep diving into the mathematical concepts of Calculus and Differential equations.


Admission Details

Candidates interested in the Engineering Calculus and Differential Equations by Edx must register online for the course in the below manner:  

  • Visit the official website of Edx: https://www.edx.org/. 
  • Enter “Engineering Calculus and Differential Equations” on the search bar and click on the course from the drop-down menu. You will now reach the course detail page. 
  • Here, locate the “Enroll” tab and click on it to move to the account creation page.  
  • You can register on the account creation page using your Facebook, Microsoft, Apple or Google ID or by entering your personal information to create a new account. Once completed, click on submit. 
  • You will now receive a notification in your email id for verification. Once verified, you can start learning from the platform.  

Application Details

Learners who want to attend the Engineering Calculus and Differential Equations training need not fill up an application form. Although, you must register on the platform using your Google, Apple, Microsoft, or Facebook id or by creating a new account by giving your name, country of origin, email id, and password.

The Syllabus

  • New to edX
  • How to get the most out of studying (optional)?
  • Where are you from?

  • Model Introduction
  • Rate of Change & Tangents
  • Limit of a Function & Limit Laws
  • Precise Definition of Limit
  • One-sided Limits
  • Continuity
  • Limits involving Infinity
  • Discussion Forum

  • Model Introduction
  • Tangents and the Derivative at a Point
  • Differentiation of Formulas and Rules
  • The Chain Rule
  • Implicit Differentiation
  • Differentiation Formulas for Natural Algorithms and Exponential Functions
  • Logarithmic Differentiation
  • Discussion Forum

  • Model Introduction
  • Extreme Values
  • The Mean Value Theorem & Its Consequences
  • L ‘Hopital’s Rule
  • Monotonicity and the First Derivative
  • Concavity and the Second Derivative
  • Discussion Forum

  • Module Introduction
  • Parametrizations of Plane Curves
  • Polar Coordinates
  • Graphing Polar Coordinates
  • Discussion Forum

  • Module Introduction
  • The Concept of Area
  • Area and Estimating Finite Sums
  • Definite Integrals
  • The Fundamental Theorem of Calculus
  • Definition of Natural Logarithm
  • Hyperbolic Functions
  • Discussion Forums

  • Module Introduction
  • Integration by Parts
  • Reduction Formula
  • Method of Substitutions
  • Trigonometric Substitutions
  • Trigonometric Integrals
  • Resolve Rational Functions into Partial Functions
  • Discussion Forum

  • Module Introduction
  • Volumes Using Cross Sections
  • Solids of Revolutions-The Disk Method
  • Volume of Cylindrical Shells
  • Arc Length
  • Areas of Surfaces of Revolution
  • Discussion Forum

  • Model Introduction
  • Linear First Order Equations- Integration Factor
  • Special Nonlinear First Order Equations
  • Separable Equations
  • Applications
  • Discussion Forum

  • Module Introduction
  • Homogeneous Equations
  • Exact Equations
  • Further Understanding (Optional)
  • Applications
  • Discussion Forums

  • Module Introduction
  • Linear Independence and Wroksians
  • Homogeneous Linear Equations with Constant Coefficients
  • Distinct Real Roots
  • Repeated Root
  • Complex Root 
  • Application
  • Discussion Forum

  • Module Introduction
  • Complementary Functions and Particular Solutions of Inhomogeneous Equations
  • Undetermined Coefficients
  • ‘D’ Operator and Resonance
  • Variation of Parameters
  • Discussion Forum

  • Module Introduction
  • Simple Example of Equations with Variable Coefficient: Cauchy Euler Equations
  • Discussion Forum

  • Module Introduction
  • Laplace Transforms: Introductory Concepts and Formulations
  • Laplace Transforms: Application to Solve Different Equation
  • Discussion Forum

  • Exit Survey
  • Discussion Forum

Instructors

HKU Hong Kong Frequently Asked Questions (FAQ's)

1: If I opt for the certificate, will I receive an institutionally verified certificate?

Yes. Candidates opting for a course with certification will receive an institutionally verified certificate with institute logo and signed by the instructor.

2: How many hours should I dedicate for the course every week?

All candidates should dedicate 3 to 6 hours per week to the course.

3: Is there a prerequisite to apply for the course?

The Engineering Calculus and Differential Equations course does not have any prerequisites.

4: The course is offered by which University?

The course is offered by the University of Hong Kong via Edx.

5: Can I opt to audit the course for free?

Yes. The Engineering Calculus and Differential Equations online course can be audited for free.

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