Calculus II

Course Code: MATH711

Course Description :

This course provides the students with knowledge and understanding of core concepts, theories and principles in evaluating definite and indefinite integrals and its applications in solving engineering and computing problems. The course also covers solutions to ordinary differential equations which can be used in modeling important applications in the scientific and engineering fields.

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)

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 understand:

    •  Differentiate between trigonometric, hyperbolic, exponential, and logarithmic functions.
    • Apply the concepts of trigonometric, hyperbolic, exponential, and logarithmic functions to solve real-life engineering problems.
    • Understand the concept of limits and analyze what these limits represent.
    • Apply the necessary methods to mathematically calculate the limits of functions.
    • 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.
    • 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.
    • 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

01 -03-02

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