Course Syllabus for Technical Mathematics II

I. COURSE DESCRIPTION:
This is the second course in a two-semester sequence of intermediate algebra and trigonometry
with technical applications. Course topics include operations on exponents and radicals ,
exponential and logarithmic functions and equations, radians, trigonometric functions of any
angle, sinusoidal functions and graphing, oblique triangles, vectors, complex numbers and their
applications , inequalities, ratio and proportion, variation, and (optional) an introduction to
statistics. If time permits, a brief intuitive approach to calculus will be covered. The use of a
graphing calculator is required for this course to further the exploration of these topics and their
applications.

II. COURSE PREREQUISITE:
MAT 105 – Technical Mathematics I

V. GENERAL TOPICS OUTLINE:

1. Exponents and Radicals (textbook chapter 11)
including integral exponents, rational exponents , simplification of radicals , basic operations
with radicals, solving equations with radicals

2. Inequalities and Absolute Value (textbook chapter 17)
including solving linear inequalities , solving equations and inequalities involving absolute
value, solving quadratic and rational inequalities

3. Ratio, Proportion and Variation (textbook chapter 18)
including solving problems involving ratio and proportion, finding equations involving direct,
inverse, and joint variation, solving applications involving variation

4. Exponential and Logarithmic Functions (textbook chapter 13)
including exponential functions, logarithmic functions, common and natural logarithms,
properties of logarithms, solving exponential and logarithmic equations, (optional) curve
fitting with data approximated by exponential and logarithmic functions, graphing on log and
semi-log paper

5. Right Triangle Trigonometry Review (textbook chapter 4)
including a review of the definitions of the trigonometric functions and applications of right
triangles

6. Trigonometric Functions of Any Angle (textbook chapter 8)
including definitions of trig functions, radian measure, applications

7. Graphs of Trigonometric Functions (textbook chapter 10)
including graphing basic sine and cosine functions, finding amplitude, period, phase shifts and
graphs of sinusoidal functions y = a sin (bx + c) and y = a cos (bx + c), (optional) curve fitting
with data approximated by trigonometric functions

8. Vectors and Oblique Triangles (textbook chapter 9)
including graphical addition of vectors , resolving vectors into vertical and horizontal
components, applications of vectors, oblique triangles, law of sines , law of cosines,
applications

9. Complex Numbers (textbook chapter 12)
including a review of basic definitions, operations on complex numbers in rectangular form,
polar and exponential form of complex numbers, multiplication and division in polar and
exponential form, powers and roots using DeMoivre’s Theorem

10. Statistics (Optional) (textbook chapter 22)
including definitions and terminology, frequency distributions , measures of central tendency,
measures of dispersion, the normal distribution, standard error, fitting curves to data,
Statistical Process Control

11. Intuitive Approach to Calculus (Optional) (supplemental materials provided by instructor)
including limits, average rate of change , instantaneous rate of change, area under a curve