Mat 181 – Mathematics with Technology - 2008

 

Syllabus

 

Assignments: 

August 27 – Introduction to TI-83/84. Discussed the following:  MODE, Cursors, INS, DEL, CLEAR, How to recall, How to store a value in a variable, Order or operations, and how to evaluate a formula.  Class examples were:

*Volume of a frustum of right circular cone                    *Law of Cosines

                                       

Homework was to practice Symbolic representation on the Home screen               

 

September 3 – Class discussion included the following KEYS and examples.

 

Y=                   CALC                         MODE                        MATH/TEST                         TABLE                      

                        Value & zero                function                        roots, absolute value,

                                                            connected/dot               Greatest integer

 

*Evaluating functions/piecewise/trig

           

 

 

 

 

When typing in j(x) please ignore the second brace and what looks like an underline.

             

           

Homework was to practice using the keys mentioned and email Dr. Floyd any questions.

 

 

September 10 – quiz – each student graphed a different function in a window that was appropriate for the function.  Discussions included:

 

                                                                                                   

 

                                                                   

 

 

                       y =

 

Other examples used to clarify were used during class.

 

September  17  - Class cancelled.

 

September 24  -  During class the following menus were reviewed:

 

Y=                   Discussed how to graph an inequality and get a “number line” solution   

                        Discussed how to split the screen, graph sim/seq, turn grid on, etc. using MODE and FORMAT           

MODE

 

ZOOM (FORMAT)              

 

TRACE (CALC) - Discussed in the CALC mode use Intersect to solve an equation and an inequality, find max, find min, find slope of a tangent line, etc.

                                               

MATH - mentioned functions in the initial menu

 

Homework: 

Students should practice how to solve equations and inequalities in multiple ways. 

Students should adjust WINDOW, split screen, turn grid on, find zeros, evaluate functions, find maximum, find minima of functions, find the slope of a line             

            tangent to a curve at a point.using more than one method.

 

October 1 – Quiz.  Discussion included:  how to determine the range of a function, how to CALC the max and min., how to graph the inverse trig functions, and using the graphing calculator to solve equations involving transcendental functions..

 

Examples included: 

Find the range of:                               

Solve:                                        

How to graph the inverse trig functions:              may be graphed using

Homework:  Students should practice finding range of functions, and graphing inverse functions.

 

October 8 – Matrix operations and solving systems of linear equations using matrices was discussed.

 

Use the following matrices to demonstrate matrix operations of scalar multiplication, multiplication, addition, subtraction, and inverse matrices.

 

                                                                

 

A+ B                E + F               3B – 2A           AXB                BXA                CXD         DXC                       EXB                 BXC                                                

 

 

Solve the following systems of equations using properties of matrices: 

                                               

                                                               

 

October 15 – Quiz on solving equations using matrices.  Began a discussion of descriptive statistics.  Students used a data sheet to calculate the following values from lists in the STAT menu.

 

Descriptive Statistics -

         Measures of the Middle (central tendency) - histogram

                        a)  Arithmetic mean () – sum divided by n

b)  Median ()   - sorted data – middle value or middle two averaged

c)  Midrange   - 

d)  Mode – most common

 

HOMEWORK:  Students should review matrix manipulations discussed Oct 8, using matrices to solve equations, and practice entering data to calculate mean, median, mode and midrange.  Data sheets are outside Dr. Floyd’s office door. 

             

October 22 – Quiz on solving a system using matrices and descriptive statistics.  Discussed Measures of Dispersion:  standard deviation (s or , variance  or and range (High – Low).  Discussed creation of a histogram and a box-plot.  Students should use data from the data sheet to create histograms and box-plots.

 

 

October 29 – Students used data to compute descriptive statistics for an in-class quiz.  Then the discussion of statistical computation continued.  Dr. Floyd answered questions then discussed measures of position.  Students were asked to use the data from their data sheet to find several specific percentiles.

 

November 5 – Answered questions about statistics.  Then the discussion began about the topic of the day:  Complex Number computation with the graphing calculator

 

MODE     a+bi    - then complex numbers may be entered with parenthesis around them and any computation may be completed using the operation keys as one would normally.

 

MATH  CPX   - also provides for interesting information about complex numbers. 

 

Examples included:

 

                                      

                                           =

                                                     =

       then   MATH  Frac

 

Use angle from the CPX menu to determine the measure of the angle from the Gaussian plane for the complex number (3 – 2i).

 

Change the MODE to DEGREE for angle measure and redo the Angle command from the CPX Menu.

 

Compute powers of   i  on the home screen and using the power key.

 

On the HOME screen type in (3 - 5i) then use MATH  CPX and change to POLAR coordinates .

 

Homework:  Students should keystroke the above problems to be sure they remember how to do computation of complex numbers.

 

November 12 – Dr. Leavelle demonstrated Statdisk.  He told students how to download the software from www.Statdisk.org   

 

Students entered data, retrieve date from existing data sets and used the data to calculate descriptive statistics with it.  Box plots were demonstrated to compare different spreads of date (ie: ages of academy award winners).

 

Students produced scatter plots and calculated the regression equation for bivariant data (two columns of data required).   

 

Students generated random sets of normally distributed data.

 

 

 November 19 – Dr. Travis demonstrated . .  .