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:
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 use basic properties of trigonometric functions to find
the value of trigonometric functions and to graph trigonometric functions.
To use identities.
To solve trigonometric equations.
To find exact and approximate values of inverse trigonometric
functions.
To solve right triangles.
Use the Law of Sines and the Law of Cosines.
To solve applied problems involving trigonometric functions.
To use polar coordinates.
To use vectors.
Analyze conic sections.
Find equations of conic sections.
Use parametric equations.
Graph exponential and logarithmic functions.
Solve exponential and logarithmic equations.
Solve applied problems involving exponential and logarithmic functions.
Course Content:
Students will be required to do the following:
Trigonometric Functions
Convert between radian and degree measure.
Solve applied problems involving circular motion.
Find the value of each of the remaining trigonometric functions if
the value of one function and the quadrant of the angle are given.
Use the theorem on cofunctions of complementary angles.
Use reference angles to find the value of a trigonometric function.
Use a calculator to find the value of a trigonometric function.
Graph the trigonometric functions, including transformations.
Find the period and amplitude of a sinusoidal function, and use them
to graph the
function.
Find a function whose sinusoidal graph is given.
Find a sinusoidal function from data.
Analytic Trigonometry
Establish identities.
Find the exact value of certain inverse trigonometric functions.
Use a calculator to find the approximate values of inverse trigonometric
functions.
Solve trigonometric equations.
Applications of Trigonometric Functions
Solve right triangles.
Use the Law of Sines and the Law of Cosines.
Find the area of a triangle.
Solve applied problems involving triangles.
Analyze simple harmonic motion and damped motion.
Polar Coordinates and Vectors
Plot polar coordinates.
Convert between rectangular and polar coordinates.
Graph polar equations.
Perform operations on complex numbers.
Write a complex number in polar form.
Use De Moivre's Theorem to find powers of complex numbers.
Find the n th roots of a complex number.
Add and subtract vectors.
Form scalar multiples of vectors.
Find the magnitude of a vector.
Solve applied problems involving vectors.
Find the dot product of two vectors.
Find the angle between two vectors.
Determine whether two vectors in the plane are parallel.
Determine whether two vectors are orthogonal.
Find the projection of v onto w .
Find the distance between points in space.
Find the direction angles of a vector in space.
Analytic Geometry
Find the vertex, focus, and directrix of a parabola given its equation.
Graph parabolas, ellipses, and hyperbolas given their equations.
Find equations of parabolas, ellipses, hyperbolas given certain information
about them.
Find the center, foci, and vertices of an ellipse given its equation.
Find the center, foci, vertices, and asymptotes of a hyperbola given
its equation.
Use rotation formulas.
Graph parametric equations.
Simulate motion problems.
Exponential and Logarithmic Functions
Graph exponential and logarithmic functions.
Solve exponential and logarithmic equations.
Solve problems involving compound interest, growth, decay, intensity
of sound and intensity of earthquakes.
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:
MATH SCIENCE & EDUCATION » MATHEMATICS » Degrees/Certificates | Courses