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Center for Curriculum and Transfer Articulation
Technical Mathematics II
Course: GTC108

First Term: 2013 Spring
 Lecture   3.0 Credit(s)   3.0 Period(s)   3.0 Load  
Subject Type: Occupational
Load Formula: S


Description: Fundamental algebraic operations. Problem solving involving metric measurement, gears, pulleys, simple mechanism problems. Areas and volume calculations of geometric figures. Essentials of trigonometry for solving right and oblique triangles.



MCCCD Official Course Competencies
1. Describe and perform fundamental algebraic operations. (I)
2. Solve problems specific to angles. (II)
3. Identify specific types of triangles. (III)
4. Solve problems using congruency relationships. (III)
5. Solve geometry problems involving triangles, polygons, and circles.(III)
6. Solve problems of right triangles with the Pythagorean theorem. (III)
7. Apply trigonometric functions to solve practical problems. (IV)
8. Calculate geometric figures: areas and volumes. (V)
MCCCD Official Course Competencies must be coordinated with the content outline so that each major point in the outline serves one or more competencies. MCCCD faculty retains authority in determining the pedagogical approach, methodology, content sequencing, and assessment metrics for student work. Please see individual course syllabi for additional information, including specific course requirements.
 
MCCCD Official Course Outline
I. Algebraic Operations
   A. Addition
   B. Subtraction
   C. Multiplication
   D. Division
   E. Powers and roots
   F. Removing parentheses
   G. Exponents
   H. Scientific notation
   I. Practical application
II. Angle Calculations
   A. Addition
   B. Subtraction
   C. Multiplication
   D. Division
   E. Powers and roots
   F. Practical application
III. Elements of Geometry
   A. Angles
      1. measurement
      2. practical application
      3. conversion
      4. complement/supplement
      5. types
      6. practical application
   B. Triangles
      1. types
      2. pythagorean theorem
      3. congruent
      4. practical applications
   C. Polygons
      1. identifying
      2. determining sides and angles
      3. interior and exterior angles
      4. practical applications
   D. Circles
      1. identifying parts
      2. circle measurements
      3. area
      4. practical applications
IV. Trigonometric Functions
   A. Right triangles
   B. Functions
   C. Manipulating functions
   D. Determining angles and sides
   E. Practical applications
V. Practical applications
   A. Areas of common polygons
   B. Areas of circles, sectors, and segments
   C. Prisms and cylinders: volumes, surface area and weights
   D. Pyramids and cones: volumes, surface area, and weights
   E. Spheres and composite figures: volumes surface areas and weights
 
MCCCD Governing Board Approval Date: 12/11/2012

All information published is subject to change without notice. Every effort has been made to ensure the accuracy of information presented, but based on the dynamic nature of the curricular process, course and program information is subject to change in order to reflect the most current information available.