20242025 College Catalog

GTM 105  Applied Technical Mathematics 3 Credits, 3 Contact Hours 3 lecture periods 0 lab periods Applied geometry and trigonometry. Includes a brief review of operations with integers; review of prealgebra; systems of measurement; solving problems involving right and oblique triangle trigonometry, perimeter, areas, surface areas, and volumes; and practical applications.
Prerequisite(s): Within the last three years: ICS 081 or satisfactory score on the Mathematics assessment test. GenEd: Meets CTE  M&S.
Course Learning Outcomes
 Use ratios and proportions to solve application problems involving similar shapes, percentages, and conversion of measures between metric and US customary systems..
 Solve application problems using algebraic techniques such as solving linear equations and manipulating and evaluating formulas.
 Apply angle measurement, right and obliquetriangle trigonometry to solve application problems.
 Calculate area and perimeter of polygons and circles, and volumes and surface areas of basic threedimensional figures to solve application problems.
 Apply concepts and techniques to practical math problems related to their specific subject areas
Outline: I. Operations with Real Numbers
A. Integer numbers
B. Fractions
C. Decimals Powers and square roots
D. Ratios, proportions, ratios and percents
E. Dimensional analysis (includes Metric/US customary conversions) Order of operations
F. Measurement
1.Lengths and angles
2. Reading of specialized instruments
II. Equations and Formulas
A. One and twostep equations
B. Formulas
C. Application problems
III. Elements of Geometry
A. Angles
1. Practical application (e.g., perpendicularity)
2. Complement/supplement
3. Conversion (decimal degrees/degreesminutesseconds)
IV. Triangles and Circles
A. Triangles
1. Types
2. Right triangle and Pythagorean Theorem
3. Congruent and similar triangles
4. Oblique triangles
B. Circles
1. Identifying parts
2. Circle measurements
3. Area
III. Trigonometry
A. Right triangles
1. Sine, cosine, and tangent
2. Determining angles and sides
3. Area and perimeter
VI. Plane Geometry
A. Perimeter of polygons and circles
B. Area of polygons and circles
V. Solids
A. Surface area of solids
B. Volume of solids
VI. Program Specific Topics
A. Selected topics differentiated by programs (e.g., Cartesian plane and transformations, units of pressure, and Ohm’s Law).
Effective Term: Full Academic Year 2021/2022
