General Calculus II
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This course is designed to acquaint students with the principles of Calculus like techniques of integration; application of integration; exponential and logistic models; parametric equations and polar coordinates; sequence and series; and vector and geometry. The topics covered under this course are other indeterminate forms, the hyperbolic functions; the techniques of integration; application of integral calculus; sequences and series; differential equations; parametric equations and polar coordinates; and vectors and geometry.
Course Objectives
Upon successful completion of this course, students will be able to:
Understand other Intermediate forms and how to solve the problems with different intermediate formsUnderstand hyperbolic function and hyperbolic identities, learn how to find derivative of hyperbolic function
Understand techniques of Integration and learn how to solve – Integration using table and u-substitution, Â integration by partial fraction, Â integration by using trigonometric substitution, how to solve numerical integration.
Learn applications of integral – understand the average value of function, understand how to find – volume of revolution, surface of revolution and arc length of functions.
Understand Sequences and Series -learn monotonic, bounded sequences and indefinite series. Understand how to check convergence and divergence of series, solve problems based on Taylor and McLaurin series and convergence and divergence of power series.
Understand what differential equation is, learn how to solve Homogeneous differential equations, and solve growth and decay problems.
Understand what are parametric equations and polar coordinates.
Understand vectors.
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