Applied Engineering Mathematics 1 MEOC 1125

Upon successful completion of this course, the student will be able to:

• Perform unit conversions and the SI and Imperial systems of units with emphasis on units of measurement applicable to the nautical industry.
• Evaluate powers, roots, and expressions with powers and/or roots combined.
• Solve problems that involve percent.
• Use the laws of exponents and convert radicals to exponential form.
• Multiply a binomial by a binomial (square a binomial) and solve simple linear equations.
• Use algebraic methods to solve word problems involving mixtures, uniform change (motion), work, and various nautical topics.
• Use Pythagoras formula to solve problems that involve the solution of one or more right triangles.
• Solve systems of two linear equations in two unknowns and solve quadratic equations using the quadratic formula.
• Plot points on a standard Cartesian coordinate system, and find the slope and intercept of a straight line, and calculate distance between two points and determine equation of a straight line.
• Write down the values of the sine, cosine, and tangent ratios for specific angles and their inverse trigonometric functions (sec, cosec, cot).
• Calculate the area and perimeter of a triangle using sine law and cosine law.
• Solve practical problems that involve the solution of one or more right triangles.
• Calculate the surface areas and volumes of various basic solid shapes (cubes, rectangular boxes, spheres, cylinders, cones, pyramids).
• Convert angular measures between units of degrees and units of radians, and calculate the arc length and the area of a sector of a circle.
• Solve multiplication, division, and powers using logarithms and natural logarithms.
• Calculate the area under a curve: expanding series using binomial theorem and solving linear equations having two or three unknowns by using determinants.

Effective as of Winter 2011