MTB 1321 – TECHNICAL MATHEMATICS
CATALOG DESCRIPTION:
MTB 1321 Technical Mathematics (3) (A.S) Three hours lecture per week. Prerequisite:
MAT 1033. This course meets Area II requirement for the A.A.S. General
Educational Requirements. This course focuses on basic algebra and trigonometry,
complex numbers and vectors applied toward the technologies.
At the successful completion of this course, the student should be able to:
1. Define decimal, scientific, and engineering notation.
2. Convert written in decimal, scientific, and engineering notation into any other
notation.
3. Define significant digit, accuracy, and precision.
4. Round the result of arithmetic operations to the proper number of significant digits.
5. Solve literal equations for an unknown variable.
6. Use dimensional analysis to convert units from US to SI and vice versa, and reduce
units within US or SI system of units.
7. Recognize and use SI and US units for these quantities: length, area, volume, time,
velocity, acceleration, mass, force, density, pressure, temperature, energy, and
power.
8. Solve technical problems using an 8-step procedure.
9. Apply Pythagorean theorem.
10. Solve systems of linear equations graphically, by substitution, by addition, and by
applying Cramer’s rule.
11. Use trig functions to find unknown sides of right triangles.
12. Use inverse trig functions to solve for unknown angles.
13. Apply trig to problems involving refraction.
14. Apply trig to problems involving angle of elevation and depression.
15. Apply trig to surveying problems.
16. Define scalar and vector quantities.
17. Add and subtract vectors graphically.
18. Add and subtract vectors algebraically.
19. Apply vectors to technical problems.
20. Describe and graph complex numbers.
21. Convert polar notation to rectangular notation and vice versa.
22. Perform algebraic operations with complex numbers.
23. Use vectors and systems of equations to solve problems in surveying, statics, and
airplane navigation.
Date of Last Revision: March, 2002