UPDATE COLLEGE ALGEBRA II SPRING 2014 SITARAMAN

COLLEGE ALGEBRA II SPRING 2014 UPDATE PAGE SITARAMAN

Welcome.
Here you will see info about what we did in class, upcoming exams, solutions for past exams, etc.,
CHECK AT LEAST ONCE A WEEK!!

OLD FINAL EXAMS

CELL-PHONE AND LAPTOP USE IN CLASS PROHIBITED UNLESS REQUIRED BY INSTRUCTOR

WHAT IS LEARNING MATH ALL ABOUT?

SOLUTIONS FOR ALL QUIZZES AND TESTS FROM SPRING 2012

FREE Howard based online homework website for PRACTICE ONLY : WEBWORK
Use practice1 (or practice2 or practice3...) as username and the same as password.

TUTORIAL LAB M-F 8.30am-6pm (fri upto 5pm) in ASB-B room 109

EXAMS WILL BE ANNOUNCED BELOW

Final Exam Tue 29 April 3.30-5.30pm DGH 310
Solutions for final exam from spring 2012.
OTHER OLD FINAL EXAMS.
Also study class notes, solutions to quizzes and tests below and those from spring 2012 (see above), and as many review problems listed below as possible.

Today we continued reviewing for the final exam (see above for past final exams).
Photos from class today (Thanks, Taylor Hopkins!):
Exponential growth
(Exponential growth is given by same equation as one for continuous compounding ).
Finding determinant Finding determinant (contd)
Warning about row reduction and determinants
Solving equations using inverse matrix Solving using inverse matrix (contd)
( NOTE In last photo the top row of the inverse matrix has not been corrected in last step (look above "Solution"). It should read -1/2 1/2 -1/2 instead of -1/2 0 -1 ).
Updated 4/23/2014

Solutions and Comments on Quiz 19 from today
Tomorrow we will continue reviewing for the final exam (see above for past final exams).
Photos from class today (Thanks, Taylor Hopkins!):
Probability problem
(In the above we assume there are no leap years with 366 days).
Probability problem (contd)
Logarithm problem from 4/99 final exam
Logarithm problem from 4-99 final (contd)
Solving equations using elimination
Updated 4/23/2014

Solutions and Comments on Quiz 18 from today
Wednesday we will start reviewing for the final exam (see above for past final exams).
We will also have a quiz that will be more like a test, for only 10 minutes.
Please study problems 11 and 12 in page 870 and problems 43,45,55,59,63,67 in chapter 14.3.
Updated 4/21/2014

Solutions and Comments on Test 3 from today
Monday we will talk about remaining topics: binomial theorem,combined probability .
We will also have a quiz that will be more like a test, for only 10 minutes.
Please study problems 37-44 and 59-62 in 14.2 for monday's quiz.
We will have another quiz on wednesday under same conditions.
For wednesday's quiz please study problems 11 and 12 in page 870 and problems 43,45,55,59,63,67 in chapter 14.3.
Updated 4/18/2014

TEST 3 (LAST BEFORE FINAL) ON FRI 18 APRIL
Review in class Thu April 17.
Test will be on 13.1,13.2,13.3,14.1,14.2,14.3
Studying for test 3:
Please study class notes, solutions to past quizzes and review problems posted here for past quizzes.
Also try Spring 2012 Test III (problems 3,4,6 only)
Spring 2012 Test II (problems 4,5,6 only)
and the quiz 6 (all except 1 and 2) and quiz 8 from spring 2012 update page
Please try the problems before reading the answers.
Please try the problems below before coming to class on thursday 4/17.
Chapter 13 test (page 870): all problems except 9,10,11,12
Chapter 14 test (page 912): problems from 1 to 12.
Updated 4/11/2014.

Solutions and Comments on Quiz 17 from today
Today we went over some probability problems (14.3)
Tomorrow we will do a review for test 3.
Updated 4/16/2014.

Today we discussed number of subsets of a set, Pascal's triangle, binomial expressions and Probability.
For wednesday's quiz please study the following:
14.3: 5,7,15, 19,23,51.
14.2: 59, 61,63,65.
Updated 4/14/2014.

Solutions and Comments on Quiz 16 from today
Today we talked about permutations and combinations (14.2)
Please try problems 23,27,35,37,39,42,47, 49,51,58.
Updated 4/11/2014.

Solutions and Comments on Quiz 15 from today
Today we started talking about counting methods to find the number of possible outcomes of an event (14.1).
Please try problems 3,5,7,15,18,23,25,31,33,39,43 in 14.1.
We will do some of these in class tomorrow.
Updated 4/9/2014.

Today we finished 13.3 and discussed 13.4.
We saw how to find sum of an infinite sequence, and discussed some real life applications of geometric sequence including the calculation of final value on investment accounts, monthly payment on mortgages, etc.,
Key points: START INVESTING EARLY, PAY ATTENTION TO INTEREST RATES AND FEES, PAYOFF LOANS QUICKLY.
Wednesday we will start 14.1 (counting principles).
For wednesday's quiz study 71, 51, 53,55,63, 75,79,83.
Updated 4/7/2014.

Solutions and Comments on Quiz 14 from today
Today we discussed more problems on geometric sequences including infinite sums.
Monday we will finish 13.3 and discuss 13.4.
Updated 4/4/2014.

Today we started 13.3 -- geometric sequences.
Please try problems 5,9,13,15,17,21,27,31,37,39,43,45,47,49 for quiz tomorrow.
Updated 4/3/2014.

Today we finished 13.2 --Arithmetic Sequences.
We went over couple of applications of arithmetic sequences.
Please study 61,63,65,67 from 13.2.
Solutions and Comments on Quiz 13 from today
Updated 4/2/2014

Today we continued discussing 13.2 --Arithmetic Sequences.
We showed how to find the sum of n terms of an arithmetic sequence.
For quiz on wednesday please study 43,45,49,51,53 from 13.2 in addition to the ones below from 3/28.
Updated 3/31/2014

Today we started 13.2 --Arithmetic Sequences.
Solutions and Comments on Quiz 12 from today

Please study 5,9,14,19, 21,23,27,31,37,39 from 13.2.
Updated 3/28/2014

Today we started chapter 13 --Sequences.
Solutions and Comments on Quiz 11 from today
Tomorrow we will continue with 13.1.
Please try problems 3,5,7,13,17,25,27,29 from 13.1.
Updated 3/26/2014

Today we completed 12.4 -- conic sections with equations not in the standard form.
For the quiz on wednesday please try problems 7,9,13,23,25,31 in 12.4.
Wednesday we will start chapter 13.
Also problems 11,12,13,14,15 from webwork set "conic sections."
Updated 3/25/2014

Solutions and Comments on Test 2 from today
Monday we will talk about 12.4 -conic sections using completing the square.
Updated 3/21/2014

TEST II ON FRI, MAR 21
Review in class Thu Mar 20.
Test will be on 11.6,11.8,11.9,12.1,12.2,12.3,12.4.
Studying for test 2:
Please study class notes, review problems posted here, webwork problems.
Also try Spring 2012 Test II (first 3 problems)
and the quizzes 4,5,6 from spring 2012 update page (only problems 1 and 2 from quiz 6)
Please try the problems before reading the answers.
Please try the problems below before coming to class on thursday 3/20.
Chapter 11 review (page 750): 69,71,79,81,91,93,105,107.9
Page 759 (linear programming): 9,11,13.
Chapter 12 review (page 811):1,3,9,11,13,17,19,21,43,45,47,49,51.
Also try the webwork sets "systems-inequalities","systems-nonlinear-inequalities","11.6-determinants-cramer's-rule","conic-sections."

Clarification on what to expect from 12.3 and 12.4 for the test tomorrow.
When I said below "In 12.4 we will only do very simple equations, such as the ones given in the list of review problems above." I meant the review problems from 12.4 only.
Ignore anything that involves completing the square, such as x^2+y^2 = 4y or y^2=x^2+6y.
Only try problems with just x^2 and y^2 or expressions of the form (x-h)^2 and (y-k)^2 (NO x or y by itself).
Also ignore word problems involving hyperbola in 12.3.
Everything else remains the same.
Updated 3/20/2014.

We will have the test as scheduled on Friday.
In 12.4 we will only do very simple equations, such as the ones given in the list of review problems above.
Everything else remains the same.
I will be in my office tomorrow (tuesday) from 2 to 5pm if anyone needs help.
Updated 3/17/2014.

MIDTERM GRADES HAVE BEEN POSTED ON BISONWEB.
If you got a U (unsatisfactory) it means you are in danger of getting a grade below C in the class and you need to do much better in future tests and quizzes.
Solution for Quiz 10 from today
Today we started 12.2 -- ellipse. Will continue that tomorrow.
Please try 9,11,13,21,23,25,33,43,51,55 from 12.2.
Updated 3/6/2014

Today we discussed equation of a parabola -- 12.1.
Tomorrow we will start on ellipse -- 12.2.
Please try 11,13,15,29,42,53,55 in 12.1.
Updated 3/5/2014.

Solution for Quiz 9 from today
Today we started 12.1 -- parabola. Will continue that on monday.
Updated 2/28/2014

Today we talked about solving systems of inequalities graphically and linear programming.
Please try 5,11,19,23,27,33,51,53 from 11.9.
Also try 1,7,11 from page 758.
Tomorrow we will do some problems from 11.6,11.8 and 11.9.
Please also try webwork set "systems-inequalities."
Note that this webwork set has only a small number of problems.
You will need to do the problems from the book also.
Updated 2/26/2014

Today we solved a 3 x 3 system using Cramer's rule.
We also did two problems from 11.8, systems of non-linear equations.
Solutions and Comments on Quiz 8 from today
Please try 5,19,23,27,31,33,39,55,61 from 11.6.
Please try 5,11,19,23,27,31,41,43 from 11.8.
Wednesday we will talk about 11.9 -systems of inequalities
Updated 2/24/2014

Today we talked about determinants and Cramer's rule (11.6).
Monday we will finish 11.6 and start 11.8.
We will also have Quiz 8 on 11.6.
Please try 5,19,23,27,31,33,39 from 11.6.
Please try webwork set "11.6-determinants-cramer's."
Updated 2/21/2014

Solutions and Comments on Test 1 from today
Tomorrow we will talk about 11.5 and 11.6 -inverse matrices and determinants
Updated 2/19/2014

TEST 1 ON WED, FEB 19
Postponed because university was closed for today (friday).
I will be in my office 11 to 12 and 1 to 3 on Wednesday if you have questions.
Updated 2/14/2014

TEST 1 ON FRI, FEB 14 (postponed to wednesday)
Postponed because university was closed for today (thursday).
Updated 2/13/2014

TEST 1 ON THU, FEB 13 (postponed to friday)
(Notice the corrected date; it is not wednesday)
review in class wed Feb 12.
Studying for test 1:
Please study class notes, review problems posted here, webwork problems.
Also try Spring 2012 Test I all except 3 and 6(challenge problem)
and the first 3 quizzes from spring 2012 update page
Please try the problems before reading the answers.
Please try the problems below before coming to class on monday.
4.6: 41,47,53
Chapter 5 review (page 392): 21,53,57,65,95,99
11.1: 5,9,23,35,63,69
11.2: 17,25,27,37,43
11.3: 19,29,31,55,59
11.4: 21,23,25,27,45
11.5: 9,17,19,25

Solution for Quiz 7 from today
Today we talked solving systems of equations using inverses of matrices and how to add and multiply matrices (11.4 and 11.5)
Wednesday we will do a review for thursday's test.
Updated 2/10/2014

Solution for Quiz 6 from today
Today we talked solving systems of equations using matrices and the Gaussian elimination method (11.3).
We discussed the use of matrices in computer graphics a little bit.
Here is a powerpoint I made on this for linear algebra.
MATRICES AND COMPUTER GRAPHICS-- A VERY BRIEF INTRODUCTION
I encourage you to explore more -- just google the various terms used in this presentation-- especially "Polygonal Mesh" and "Motion Capture."
Thursday we will continue with 11.3.
Please try 11,13,17,19,23,25 in 11.3
I have added problems to the webwork set "11.2-sytems-3-equations."
(Although it says 11.2, it has problems from 11.3 also).
Updated 2/5/2014

Today we finished 11.2, solution of 3 equations with 3 unknowns.
We also did some application problems.
Please try problems 19,29,31,39,43 from 11.2
Please try webwork set "11.2-sytems-3-equations."
Updated 2/3

Solution for Quiz 5 from today
Today we talked about systems of 3 equations in 3 variables (11.2).
Monday we will continue with 11.2.
Updated 1/31/2014

Today we did some word problems which could be solved using two linear equations in two variables.
For tomorrow's quiz please try the following problems from 11.1: 5,9,13,23,35,37,57,61,64,67,70.
Also try probmlems from webwork set "11.1-systems-2-equations"
Updated 1/30.

Solution for Quiz 4 from today
Today we talked about exponential growth and decay functions.
We showed how to get formula for half-life just like we did for doubling time.
I gave the example of cell-phone usage which went from 23000 in 1980 to more than 6 billion (over 90% of world population) today
It started growing slow but then the growth accelerated.
We also started 11.1: equations in 2 variables.
Friday we will continue with 11.1.
Updated 1/29/2014

Today we went over 5.6--modeling using exponential and logarithmic equations.
For quiz on wednesday please try problems 3,13,17,23,35 in section 5.6.
I have added more problems to webwork set "logarithms"
On wednesday we will start a new section: 11.1 (systems of equations).
Updated 1/27

Solution for Quiz 3 from today
Today we saw how to solve logarithmic and exponential equations.
Monday we will start 5.6.
Updated 1/24/2014

Please study 5.3,5.4 and 5.5 for the quiz tomorrow.
Please try these review problems from 5.4 and 5.5:
5.4: 13,15,23,33,47,49,57,59
5.5: 17,29,65,75
For 5.3 problems see below.
I have added problems to the webwork set "logarithms"
Updated 1/23

Solution for Quiz 2 from today
Today we talked about how logarithmic function is inverse of exponential function.
We also looked at properties of logarithm function.
Note: quintillion means a million trillion (not a billion trillion).
They made a mistake on the news.
It is one followed by 18 zeroes or 10 to the power of 18.
Please do these review problems in 5.3:
7,9,15,17,25,29
Please try problems in webwork set "logarithms"
Updated 1/22/2014

Please do these review problems in 4.6 in addition to those given on 1/15 (see below):
15,25,29,47,49,51,65
I have added more problems to the webwork set "rational-functions-graph."
Updated 1/17/2014

Solution for Quiz 1 from today
Tomorrow we will have a quiz with a slightly more complicated function.
We will also start talking about exponential and logarithmic functions.
(A little review of 5.1 and 5.2 then start with 5.3).
Updated 1/17/2014.

Today we talked about rational functions and how to graph them.
You can find the zeroes (intercepts) and asymptotes by finding where the numerator and denominator are zero and also how they behave at infinity (end behavior).
Then you can find how it behaves at other points by testing points in between the zeroes and asymptotes.
We will continue this on friday.
Friday also we will have a short quiz and it will based on the review problems below.
Please review 7,11,13,21,33,35 from 4.6 in textbook.
You can also try problems in the webwork set "rational-functions-graph"
Updated 1/15/2014

On monday we went over what you need to review from college algebra 1 to get ready for college algebra 2
I also spoke about ways in which math is applied in our lives.
Please review linear and quadratic equations, equations and graphs of circles, lines and parabolas, graphing polynomials, and exponential equations.
The last two topics are in 4.1-4.3 and 5.1,5.2.
Please try the webwork set Introduction to get familiar with the notation.
Updated 1/14/2014