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Quick Facts

Medium Of Instructions	Mode Of Learning	Mode Of Delivery
English	Self Study	Video 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 Informations	Certificate Availability	Certificate Providing Authority
INR 4130	yes	HKU 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)	₹4,130

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

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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.