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.
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
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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