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Objectives By covering the course in Engineering Mathematics - II , the students will be able to: Know the basics of Differential and Integral Calculus, the meaning of limit, continuity and derivative of a single variable and their applications to engineering problems, the various methods of integration, how to solve simple ordinary differential equation of 1st and 2nd order, the concept of Vector Algebra, how to apply concepts of Vector Algebra to Statics, how to apply the concepts of Differential and Integral Calculus in solving the problems of Dynamics.
Dynamics via Calculus.
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Limits: Definition, fundamental Theorem, important formulas and its important deductions, Simple problems. Continuity of a Function: Left hand limit and Right hand limit. Successive Differentiation: Definition and Notations, the nth derivatives of some special functions. Partial Differentiation: Idea of a partial differentiation, partial derivatives, successive partial derivatives, Euler's Theorem on Homogeneous Functions, Partial Differentiation of Implicit Functions, Total Differential. Integration: Integration as inverse process of differentiation, Introduction, Integration by transformation, Integration by Substitution and Integration by parts.
The Definite Integral: Properties of the definite integral. Introduction to Vectors: Definition of Scalars and Vectors with example, Representation of a vector, type of vectors Unit vector, Zero vector, negative of a vector and Equality of vectors , Addition and Substraction of vectors, Multiplication of vectors by a scalar. Position vector: Position vector of a Point Resolution of vectors coplanar vectors and space vectors : Point of Division, Centroid of triangle.
A weekly strategy session will be held online every Tuesday evening from 8 - 9 p. Attendance is optional and all sessions are recorded so students can watch them at a later time. Instructions and details are posted on the course website for enrolled students. This course requires a properly maintained computer with high-speed internet access and an up-to-date web browser such as Chrome or Firefox. The student must be able to communicate with the instructor via email. Visit the Technical Requirements and Support page for more details.
Zoom online virtual classroom This course uses an online virtual classroom for discussions with the instructor.
University of Tasmania, Australia
The classroom works on standard computers with the Zoom desktop client and also tablets or handhelds that support the Zoom Mobile app. Students who are unable to attend live sessions will need a computer with the Zoom desktop client installed to watch recorded meetings.
The Zoom desktop client and Zoom Mobile App are both available for free download. Have a Question? Skip Navigation.