Official Course Description: MCCCD Approval: 07/22/08
MAT103BB 20032-20086	LEC	3 Credit(s)	3 Period(s)
Mathematics for Industrial Applications II
Fundamentals of plane geometry and angular measure. Theorems, axioms, corollaries and definitions applying to triangles, congruent and similar figures, polygons, and circles. Computed measure of geometric figures, area, volume, surface area, and weight. Fundamentals of trigonometry, trigonometric functions, right triangles, Law of Sines and Law of Cosines. Includes applied math problems. Prerequisites: MAT103BA or permission of Instructor.

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MCCCD Official Course Competencies:
MAT103BB   20032-20086	Mathematics for Industrial Applications II

1.	Demonstrate a basic knowledge of the axioms and postulates of plan geometry. (I)
2.	Perform basic conversions of the units of angular measure and find measurements using semicircular protractor and scale readings. (II)
3.	Demonstrate a basic knowledge of angles to include angles formed by a transversal by applying applicable theorems and corollaries. (III)
4.	Demonstrate a basic knowledge of triangles and the Pythagorean Theorem. (IV)
5.	Solve practical application problems using the Pythagorean Theorem. (IV)
6.	Solve practical application problems using congruent triangles and similar figures. (V)
7.	Demonstrate a basic knowledge of polygons. (VI)
8.	Demonstrate a basic knowledge of circles. (VII)
9.	Calculate the areas of common polygons. (VIII)
10.	Calculate the areas of circles, sectors, segments and ellipses. (IX)
11.	Calculate the volumes, surface areas, and weights of prisms, circles, pyramids, cones, spheres, and composite solids. (X)
12.	Demonstrate a basic knowledge of trigonometric functions with right triangles. (XI)
13.	Demonstrate a basic knowledge of the trigonometric functions of any angle. (XI)
14.	Apply fundamentals of trigonometry and trigonometric functions to solve practical application problems. (XI)
15.	Demonstrates a basic knowledge of the Law of Sines and the Law of Cosines. (XI)
16.	Solve practical applications of oblique trigonometry. (XI)

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MCCCD Official Course Outline:
MAT103BB   20032-20086	Mathematics for Industrial Applications II

I. Plane Geometry A. Axioms and postulates B. Points and lines II. Angular Measure A. Units of angular measure in Degrees, Minutes and Seconds. B. Degrees, Minutes and Seconds as Decimal Degrees. C. Decimal Degrees as Degrees, Minutes and Seconds. D. Arithmetic operations on Angular measure. E. Circle Graphs F. Complements and Supplements III. Angles A. Naming Angles B. Types of Angles C. Angles formed by a Transversal D. Theorems and Corollaries IV. Triangles A. Types of Triangles B. Angles of a Triangle C. The Pythagorean Theorem D. Practical Applications V. Congruent and Similar Figures A. Congruent Triangles B. Similar Figures C. Practical Application of Similar Triangles VI. Polygons A. Quadrilaterals B. Interior and Exterior Angles C. Practical applications VII. Circles A. Circumference B. Arc Length C. Radian Measure D. Tangents and Chord Segments E. Angles formed inside, on, and outside a circle F. Practical Applications VIII. Areas of Common Polygons A. Rectangles B. Parallelograms C. Trapezoids D. Triangles IX. Areas of Circles, Sectors, Segments and Ellipses A. Circles B. Sectors C. Segments D. Ellipses X. Volumes, Surface Areas, and Weights A. Prisms B. Cylinders C. Pyramids D. Cones E. Spheres F. Composite Solids XI. Trigonometry A. Trigonometric functions of right triangles B. Solving right triangles C. Practical applications of right triangles D. Functions of any angle E. Law of Sines F. Law of Cosines G. Practical applications of oblique trigonometry

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