Calculus II

Course Code: MATHS 102

Course Description :

Applications of definite integrals, including areas, volumes and surface areas of solids of revolution, arc length and centroids. Transcendental functions, indeterminate form and L’Hopital’s Rule. Techniques of integration and improper integrals. Infinite series, power series. Maclaurin and Taylor Theorem.

Duration :

16 Weeks

Mode of Delivery :

Interactive Live Online Sessions

Lectures :

Number of Lectures Per Month : 8 Lectures

Number of Tutorials Per Month : 2 Tutorials (Including Revision Classes for Midterm and Final Exams)

Andy Joshua

Aerospace Technology

Number of Classes

Lectures

8

Number of Classes

Tutorial

2

Per Month

Total Classes

10

Price Per Month

Group Classes

25 BD

Price Per Month

Private

40 BD

Module Learning Outcomes

By the end of this course, students should be able to

Identify and perform calculations regarding transcendental functions

- Differentiate between trigonometric, hyperbolic, exponential, and logarithmic functions.
- Apply the concepts of trigonometric, hyperbolic, exponential, and logarithmic functions to solve real-life engineering problems.

Evaluate the limits of functions

- Understand the concept of limits and analyze what these limits represent.
- Apply the necessary methods to mathematically calculate the limits of functions.

Understand the fundamental theory and methods to integration

- Relate the concept of integration to the area problem and the fundamental theorem of calculus.
- Use the standard integration formulas and other integration methods such as integration by substitution, by parts, by partial fractions, by trigonometric substitution, or by numerical integration to solve integration problems.

Apply basic integration methods to real-life science and engineering situations

- Understand basic geometric concepts such as area, volume, the length of a curve, and the centroids of objects in terms of integration.
- Understand basic physics concepts such as rectilinear motion, work, moments, center of gravity, fluid pressure, and fluid force in terms of integration.

Recognize different kinds of mathematical sequences and infinite series

- Understand the basic theory of sequences and series
- Assess the properties of infinite series
- Evaluate different infinite series, alternating series, and power series.

Course Outline

ENGINEERING LEARNING CENTER