Perspectives (Those marked with a √ reflect the state-mandated perspectives
taught in this course.)
Establish broad and multiple perspectives
on the individual in relationship to the larger society and world in which
he/she lives, and to understand the responsibilities of living in a culturally
and ethnically diversified world.
Stimulate a capacity to discuss and
reflect upon individual, political, economic, and social aspects of life in
order to understand ways in which to be a responsible member of society.
Recognize the importance
of maintaining health and wellness.
Develop a capacity to use knowledge
of how technology and science affect their lives.
Develop personal values for ethical
behavior.
Develop the ability to make
aesthetic judgments.
Use logical reasoning in problem solving.
Integrate knowledge and understand
the interrelationships of the scholarly disciplines.
Exemplary Objectives (Those marked with a √ reflect state-mandated exemplary
objectives taught in this course.)
Mathematics: The objective of the mathematics component
of the core curriculum is to develop a quantitatively literate college graduate. Every
college graduate should be able to apply basic mathematical tools in the
solution of real-world problems.
To apply arithmetic, algebraic, geometric, higher-order thinking and
statistical methods to modeling and solving real-world situations.
To represent and evaluate basic mathematical information verbally,
numerically, graphically, and symbolically.
To expand mathematical reasoning skills and formal logic to develop
convincing mathematical arguments.
To use appropriate technology to enhance mathematical thinking and
understand and to solve mathematical problems and judge reasonableness
of the results.
To interpret mathematical models such as formulas, graphs, tables
and schematics, and draw inferences from them.
To develop the limitations of mathematical and statistical models.
To develop the view that mathematics is an evolving discipline interrelated
with human culture, and understand its connections to other disciplines.
Instructional Goals and Purposes:
Lee College's instructional goals include 1) creating an academic atmosphere
in which students may develop their intellects and skills and 2) providing
courses so students may receive a certificate/an associate degree or transfer
to a senior institution that offers baccalaureate degrees.
General Course Objectives:
Successful completion of this course will promote the general student learning
outcomes listed below. The student will be able
To apply problem-solving skills through solving application problems.
To demonstrate arithmetic and algebraic manipulation skills.
To read and understand scientific and mathematical literature by utilizing
proper vocabulary and methodology.
To construct appropriate mathematical models to solve applications.
To interpret and apply mathematical concepts.
To use multiple approaches - physical, symbolic, graphical, and verbal - to
solve application problems.
Specific Course Objectives:
Upon successful completion of the course, the student will be able
To define and use transcendental functions including logarithmic
and exponential functions.
To compute derivatives and antiderivatives involving transcendental
functions.
To apply integration to various applications.
To demonstrate various integration techniques.
To show correct usage of L'Hopital's Rule.
To describe and solve improper integrals.
To recognize and use infinite series.
To recognize and apply Taylor series to various problems.
To demonstrate knowledge of plane curves and polar coordinates.
Course Content:
Students will be required to do the following:
Determine integrals using the basic integration rules.
Find integrals using integration by parts.
Determine integrals involving powers of trigonometric functions.
Solve integrals using partial fraction decomposition.
Find integrals using miscellaneous substitution.
Determine integrals using a table of integrals.
Solve limits involving indeterminate forms.
Find improper integrals.
Write the terms of a sequence.
Record an expression for the general term of a sequence.
Solve the convergence or divergence of an infinite series
using a variety of tests.
Solve the sum of a series (when possible).
Solve the Taylor or Maclaurin polynomial for a given function.
Find the radius and interval of convergence for a power series.
Represent a function by a power series, Taylor series, and
Maclaurin series.
Convert between rectangular form and parametric form.
Graph parametric equations.
Solve the derivative of a function in parametric form.
Calculate the arc length of a curve in parametric form.
Calculate the area of a surface of revolution in parametric
form.
Convert between rectangular form and polar form.
Find area and arc length in polar form.
Methods of Instruction/Course Format/Delivery:
Faculty may choose from but are not limited to the following methods of instruction: lecture,
discussion, Internet, video, television, demonstrations, field trips, collaboration,
readings.
Assessment:
Faculty may assign both in- and out-of-class activities to evaluate students'
knowledge and abilities. Faculty may choose from the following methods:
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