January 26, 2012

Math 521A:

-  Homework problems involving quadratic equations was checked.  Word problems on the same review sheet were completed, and, I quote, were referred to as “lovely” problems.

-  A few changes to the review were made.  I added problems 70 – 74 on page 161, omitted problem 59 on page 232, and added problem 43 on page 232.

-  Good luck studying and thank you once again for a wonderful semester!!

Math 621B:

-  We finished reviewing Trig and reviewed some conics and some combinatorics.

-  Thank you for a great semester!  Good luck studying!!

Math 621A:

-  We finished reviewing probability and reviewed some statistics.

-  Thank you for a great semester!  Good luck studying!!

January 25, 2012

Well, the end of the semester is at hand.  All that is left is your final exam. Thank you for a wonderful semester!!!

Math 521A:

- Calculator exercise was corrected  and handed back.  Journals were handed back and reviewed.  Tests were handed back and reviewed. Sections along with review exercises to be reviewed for the exam were given.

-  Homework:  Review quadratic equations by completing 1 a,c,e,h,i,k,m on the quadratic review hand out.

Math 621B:

-  Journals were returned.

-  Reviewed some trig concepts.  We will continue to do so tomorrow along with any other questions.

Math 621A:

-  Continued review with the binomial theorem and continued with probability.  We will wrap up probability tomorrow and review statistics.

 

January 24, 2012

Math 521A:

-    Matrix test was completed.

-  Homework:  review quadratic equations

Math 621A:

-  Finished sketching y = sin x and y = cos x.

- Started reviewing for exams.  Look over tests and assignments from the term.  If you have any questions, I will address them over the next couple of days.

Math 621B:

-  Completed the binomial theorem.  Exercises 11 – 29 odd were assigned.  Will address any issues tomorrow.

-  Homework:  Review trigonometry material.  Look over tests and assignments from the term.  If there are any questions, I will answer them tomorrow.

January 23, 2012

Math 521A:

-  We corrected the homework and completed a calculator exercise.

-  We will correct those on Wednesday.  On Wednesday, as well, I will hand back the journals and review quadratic equations.

-  Homework:  Prepare for in-class test or complete some of the quadratic equations that were on the handout from last day.

Math 621B:

-  Pascal’s Triangle was developed using combinations and the many patterns associated with the triangle were discussed.

- The patterns found within the triangle were used to help expand binomials.

-  A few examples were completed and odds 1 – 9 on page 356 were assigned.

-  Homework:  Complete the problems that were assigned on page 356 and start reviewing your material on Trigonometry for your final.

Math 621A:

-  The formula regarding arc length was given and a couple of examples were completed.

-  The following questions were assigned:  page 167 – 168 10 ace, 11 aceg, 14 ac.  These appeared to be straight forward since there were no questions when everyone was finished.

-  A chart containing angle measures from 0 – 180 degrees, and 7pi/6 – 2pi was completed for sine and cosine.

- The graphs for each will be completed tomorrow and we will discuss our results.

-  Homework:  Review material on combinatorics to prepare for your review and the final.

Math 621A:

January 20, 2012

Math 521A:

-  Homework was corrected.

-  Studied how to apply matrices to solving word problems in 2 unknowns.  A few examples were completed.

-  A handout was given to complete for homework.

-  Also, a review sheet regarding quadratic equations was provided to look over to help prepare for your exam.

Math 621A:

-  Math tests were handed back and reviewed.

-  Radian measure  was discussed and the following were assigned to finish for homework:  page 167 1 bdfhjl, 2, 4 acegik, 6acegil, 7aceg, 8aceg

Math 621B:

-Completed the section on Combinations on pages 345 – 349.

-  Explained example 2 and 3 on pages 347 – 348.

-  Assigned and corrected 1, 3, 5, 16, 18, 21 on pages 348 – 349

-  Homework:  Prepare for exams.

January 19, 2012

Math 521A:

-  We continued solving linear systems using matrices and finished the example started at the end of class yesterday.  We then completed two more examples.

-  A handout was given in which Section A was assigned and corrected in class.  Section B was assigned at the end of class.

-  Homework:  Complete section B of handout given in class.

Math 621B:

-   Permutations involving repetition was completed.  A chart summarizing the different types of permutations was provided.

-  The following exercises on pages 342 – 343 were assigned:  odds 1 – 19, 21, 22, 24, 26, 27, 28, 30.

-  Tests were given back and reviewed.

-  Homework:  ensure the above assigned exercises are complete and complete the journal that is due tomorrow by the end of the day.

Math 621A:

-  Tests on statistics were written.

-  Homework:  Complete the journal that is due tomorrow by the end of the day.

January 18, 2012

Math 521A:

-  Discussed how to find the inverse of a matrix found on pages 28 – 30 of your workbook.

-  #54 on page 29 was completed by finding the inverse using the formula and checking your result by multiplying The original by the inverse to see if the identity was the result.

-  #56 on pages 29 – 30 was  assigned and corrected as well.  Your job here was to determine of the inverse existed and, if so, to find it.

-  Solving systems of linear equations using matrices was introduced and will be further discussed tomorrow.

- Homework:  Complete the journal that is due by the end of the day tomorrow.

Math 621A:

-  Assignment was handed back and reviewed.

-  Started trigonometry by discussing periodic functions and how to find the period.   WE completed #8 on page 162.

-  Homework:  Study for tomorrow’s test.

Math 621B:

-  Started the final unit on Combinatorics.

-  Discussed the Fundamental Counting Principle on pages 334 – 337 and completed the odds 1 – 7 on page 336 – 337.

-  Permutations were the next topic on pages 338 -343.  I defined permutations, gave an example, discussed factorial notation, and started to explore permutations involving repetition.  Tomorrow, we will complete some problems involving permutations.

-  Homework:  Work on journals that are due on Friday.

January 16, 2012

Math 521A:

-  Homework was corrected

-  Discussed the concepts of the identity matrix of multiplication and the determinant.

-  Homework:  Complete 53 on page 27

Math 621A:

-  Homework was corrected and 3 and 6 on sheet 8.7 were assigned and corrected.

-  Complete the assignment on statistics to be handed in before you go to first class tomorrow.

Math 621B:

-  Assignments were handed back and reviewed.

-  Completed several examples regarding solving quadratic systems.  A sheet was handed out and odds 1 – 11 were assigned. The answers to 1, 3,  and 5 were put on the board.  The answers to 7, 9, and 11 were given.  If there are any issues, see me tomorrow.

- Study for tomorrow’s test.

January 13, 2012

Math 521A:

-  Tests were passed back and reviewed.

-  Continued to work on matrix multiplication.  Two observations were made:

1)  in order to multiply to matrices, the #of columns in the first matrix must equal the number of rows in the second.

2)  If two matrices can be multiplied, the dimensions of the answer can be found using the number of rows of the first matrix and the number of columns of the second matrix.

-  Homework: Complete #19 on page 10 and #21 on pages 11 – 12

Math 621B:

-  Exercises 25 – 31 p. 168 were corrected.

-  Exercises 32, 34, 35, 36, 39, 40, 41 were assigned and corrected.

-  Introduced solving quadratic systems.  Gave example 4x^2 + y^2 = 25 and 2x + y = -1 and, for homework, you are to finish it.  Also, work on journals that are due at the end of next week.

Math 621A:

-  Questions with homework exercises were addressed

-  Normal approximation to binomial distributions were discussed and examples were completed.

-  Homework:  Complete exercises 2, 4, 5, 7 on sheet 8.7 (reverse of sheet 8.5/8.6)

January 12, 2012

Math 521A:

-  Trigonometry tests were completed.

-  Homework:  Complete #13 on page 8.  Remember to complete the chart as well.

Math 621A:

-  Exercises 2 and 5 on sheet 8.5/8.6 were corrected.

-  Problems 1, 3, 4, 7 on sheet 8.5/8.6 were assigned and corrected.

-  Introduced Binomial Distributions with the formulas used to calculate mean and standard deviation.

-  Homework:  Complete 3 on page 483 and 1 on page 510.

Math 621B:

-  Exercises 15 – 18 were completed.

- Chart reviewing all the conic sections was constructed.

- Exercises 19 – 24 were assigned and corrected.

-  Homework:  Complete 25 – 31 on page 168