ME 142 Engineering Computation I. Unit 1.2 Excel Functions

Transcription

1 ME 142 Engineering Computation I Unit 1.2 Excel Functions

2 TOA Make sure to submit TOA If not submitted, will receive score of 0

3 Common Questions from 1.1 & 1.2

4 Named Cell PP Name cell B2 Payrate Use Payrate in formula in column D

5 HW Interest Rate: 5 vs Monthly Payment: = -PMT( ) Reference C3 through C5 rate: Monthly Interest Rate nper: total number of months pv: loan amount (Present Value of loan)

6 Trigonometry Functions Virtually all Excel Trig functions work in RADIANS. If you start with degrees or need to end in degrees, you must perform the conversion

7 Trigonometry Functions SIN(θ) - returns the sine of an angle where θ is in given in radians COS(θ) - returns the cosine of an angle where θ is given in radians TAN(θ) - returns the tangent of an angle where θ is given in radians ASIN(x) - returns the arcsine of a number in radians, in the range pi/2 to pi/2 ACOS(x) - returns the arccosine of a number in radians, in the range 0 to pi ATAN(x) - returns the arctangent of a number in radians, in the range pi/2 to pi/2 Degrees(θ) - converts radians to degrees, i.e. converts θ from radians to degrees Radians(θ) - converts degrees to radians, i.e. converts θ from degrees to radians

8 Trigonometry Functions Functions may be nested: =cos(radians(45)) =degrees(asin(.5))

9 Logical Functions & Operators IF(logical test, value if true, value if false) -checks if a condition is met, returns one value if True, another value if False AND(logical1,logical2, ) -returns True if all arguments are true, otherwise returns False OR(logical1,logical2, ) -returns True if any argument is true, returns False only if all arguments are False NOT(logical) -returns True if argument is False, returns False if argument is True

10 Logical Functions & Operators

11 Logical Functions & Operators

12 Logical Functions & Operators Functions may be nested: =IF(A3>90,"A",IF(A3>80,"B","C"))

13

14 Questions on Homework or Class Prep?

15 Key Concepts Basic Math Operations Basic Math Functions Trigonometry Functions Logical Functions & Operators Date & Random Number Functions Finding Functions Selecting Ranges

16 Basic Math Operations

17 How do you perform basic math operations in Excel?

18 Basic Math Operations Basic Math Operators + Addition - Subtraction / Division * Multiplication ^ Exponent ( ) Parenthesis, as need, follows algebraic precedence

19 Example Problems Create a table of x,y values for the following equation, where x = 1,2,3..10

20 Basic Math Functions

21 What are some commonly used Excel functions?

22 Basic Math Functions SUM(range) -returns the summation of a range of number SQRT(x) -returns the square root of a number ABS(x) -returns the absolute value of a number MAX(range) - returns the largest number in a set of values MIN(range) -returns the smallest number in a set of values COUNT(range) -counts the number of cells in a range that contain numbers COUNTA(range)-counts the number of cells in a range that are not empty STDEV(range) -estimates the standard deviation based on a sample

23 Example Problems For the list of numbers, find the sum, max and min

24 Trigonometry Functions

25 In Excel, is the default angle measurement in radians or degrees?

26 Trigonometry Functions Excel uses Radians by default in all trig functions Use RADIANS and DEGREES functions to convert RADIANS(x) given in degrees DEGREES(x) given in radians -converts degrees to radians where x is -converts radians to degrees where x is

27 Trigonometry Functions SIN(x) - returns the sine of an angle where x is in given in radians COS(x) - returns the cosine of an angle where x is given in radians TAN(x) - returns the tangent of an angle where x is given in radians ASIN(x) - returns the arcsine of a number in radians, in the range pi/2 to pi/2 ACOS(x) - returns the arccosine of a number in radians, in the range 0 to pi ATAN(x) -returns the arctangent of a number in radians, in the range pi/2 to pi/2

28 Trigonometry Functions Functions may be nested: =cos(radians(45)) =degrees(asin(.5))

29 Example Problems Find the hypotenuse and interior angles of the right triangle.

30 Logical Functions & Operators

31 What are logical functions used for?

32 Logical Functions & Operators IF(logical test, value if true, value if false) -checks if a condition is met, returns one value if True, another value if False AND(logical1,logical2, ) -returns True if all arguments are true, otherwise returns False OR(logical1,logical2, ) -returns True if any argument is true, returns False only if all arguments are False NOT(logical) -returns True if argument is False, returns False if argument is True

33 Logical Functions & Operators

34 Logical Functions & Operators

35 Logical Functions & Operators Functions may be nested: =IF(A3>90,"A",IF(A3>80,"B","C"))

36 Example Problems Given a numeric grade, find the corresponding letter grade.

37 Time & Date Functions Random Number Functions

38 Time & Date Functions TODAY()-returns the current date NOW() -returns the current date and time Format of the date/time can be modified

39 Random Number Functions RAND() -returns a number greater than or equal to zero and less than one, evenly distributed. Changes on recalculation. RANDBETWEEN(bottom, top) -returns a random number between the numbers you specify.

40 Finding Functions

41 Formula Ribbon Finding Functions

42 Finding Functions Insert Function button

43 Selecting Ranges

44 What is a Range?

45 Selecting Ranges Use mouse to drag from top to bottom, or side to side Select rectangular area by dragging to diagonal corners or using [shift] key Select disconnected columns/rows by using [ctrl] key Select a long row/column by using [ctrl][shift][end] key sequence Range addresses may also be typed

46 Review Questions

47 Review Question Basic Math Operations What is the result of the following expression: =(1-2^3/2+4)*2 A. 0 B. 1 C. 2 D. 3 E. None of the above

48 Review Question Basic Math Functions What is the result of the following expression: =COUNT(A1:A6) A. 3 B. 4 C. 5 D. 6 E. None of the above

49 Review Question TrigonometryFunctions The RADIANS function is used to convert from radians to degrees. A. True B. False

50 Review Question Logical Functions & Operators What is the result of the following expression: A. 0 B. 10 C. 20 D. 25 =IF(OR(A1>10,B1>10),25,0) E. None of the above

51 Review Question Finding Functions Which of the following can help you find/use a specific function: A. 0 B. 1 C. 2 D. All of the above E. None of the above

52 Homework Help n Hints