Download MATH 140 Applied Trigonometry and Calculus I

MATH 140 Applied Trigonometry and Calculus I
Course objectives: In this course, you will learn trigonometry and calculus, which are the basis of all modern engineering methods. Some of the trigonometry you learn will be applicable to physics problems like projectile launches and inclined
planes. You will also learn how the trigonometric functions are used to describe electrical signals—for example,
MP3 files use them to compress audio signals. Complex numbers are also an important tool used in describing
circuits and signals. Calculus looks at how fast things are changing or accumulating. Common electrical examples
include voltage, charge, and energy, but we will also look at other topics like velocity and acceleration, money flow,
accumulation of greenhouse gasses, depletion of natural resources, etc. Calculus also helps us optimize designs,
such as finding the minimum-cost way to manage inventory.
Usual course content: •
General:
1.
Work with functions represented in a variety of ways: graphical, numerical, analytical, or verbal. You will
understand the connections among these representations.
2.
Communicate mathematics both orally and in well-written sentences, and explain solutions to problems.
3.
Use technology to help solve problems, experiment, interpret results, and verify conclusions.
4.
Determine the reasonableness of solutions, including sign, size, relative accuracy, and units of
measurement.
•
Trigonometry:
1.
Compute the values of the three main trigonometric functions for key angles measured in both degrees and
radians.
2.
Graph the three main trigonometric functions and their transformations.
3.
Solve right and oblique triangles.
4.
Calculate arc lengths of circles.
5.
Draw and perform operations on vectors.
6.
Plot points and graph equations in the Polar Coordinate system.
7.
Perform arithmetic on complex numbers, and convert from rectangular to polar form and back.
8.
Use the concepts of trigonometry to solve applied problems.
•
Calculus:
1.
Use derivatives to solve a variety of problems, with an understanding of the meaning of the derivative in
terms of a rate of change and local linear approximation
2.
Use integrals to solve a variety of problems, with an understanding of the meaning of the definite integral
both as a limit of Riemann sums and as the net accumulation of change
3.
Understand the relationship between the derivative and the definite integral as expressed in both parts of
the Fundamental Theorem of Calculus.
4.
Model a written description of a physical situation with a function, a derivative, or an integral.
5.
Develop an appreciation of calculus as a coherent body of knowledge and as a human accomplishment.
Technology: Varies by instructor, however, typically uses graphing calculator, spreadsheets, and/or Matlab.
Students who may benefit: The course is specifically designed for students in the College of Technology, specifically, Electronic Engineering
Technology (EET), Mechanical Engineering Technology (MET), and Computer Engineering Technology (CET). The two course sequence MATH 140 and 141 prepares students in these programs to meet the calculus pre requisites
for other courses earlier in their program of study. Additionally, the focus is on applications in their field.
MATH 140 will satisfy the Quantitative Reasoning requirement for General Education for those students with QR
choice.
Follow up courses: MATH 141 Applied Calculus II for Technology
Looking ahead, MATH 141 is a co-requisite for ELEC 310 Analog Circuit Analysis II