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Algebra

• Downloads: Teachers Guide ( includes tests)
• The syllabus you have may NOT contain problems for all of chapter 1. For an update see the online syllabus.

Geometry

• Downloads: Teachers Guide (includes tests or download test separately)
• Issue with using Jacobs 2nd with our DVDs.
• Chapter 2, Lesson 6, Number 9 generates lots of questions as to why the demonstration does not prove the case. The issue is that in number 9 he has proved a SINGLE CASE, not all cases. If I tried to prove to you that the sun is "Always" to the west and walked outside in the afternoon - would you believe my evidence? You would tell me to try in the morning and you would show me I was wrong. Here Raoul demonstrated that the statement is true in a PARTICULAR case - but he did not PROVE it is so in ALL cases. It so happens it is true in all cases - but hopefully you can see from this that a simple example is NEVER proof.
• Chapter 2, Lesson 6, Number 10 Similar to number 9 above, even 1000 examples showing me something does not PROVE anything. In fact all I need to DISPROVE 1000 examples is ONE example showing it does not work.
  
  This is an important issue in science and in logic in general. Think about it. Even when you hear something on the news! How often do we find a particular example being used to argue truth? If someone steals from you have you proved ALL people are evil? No - you showed one example. Much of what people argue in society is from examples - which can be evidence of some larger truth - but not always. So like the word " TRUTH" the word " PROOF" is very powerful and has a very specific meaning. They do NOT mean sometimes or most of the time - they mean at ALL times. Now read John 17:17 and consider the word TRUTH and PROOF.
• Chapter 12, Lesson 5, Number 43 has the wrong solution in Teachers Guide Published by Freeman. The correct answer is "To other points on the major arc AB." Thanks to Charlie in Wisconsin for catching this error. Harold Jacobs indicates that this problem is corrected in some of the most recent printings of the Enhanced Teachers Guide.
• Chapter 12, Lesson 5, Number 54 has been corrected in the new Enhanced Teachers Guide to say "At other positions on the major arc." Again thanks to Harold Jacobs for pointing this out.

Algebra II with Trig (online textbook)

• Downloads: Teacher's Guide, Solutions to Selected Problems
• Chapter 1 even numbered problems - Version 1 and Version 2 of the Solutions to Selected Odd Problems does not contain the solutions for the EVEN numbered problems assigned on the syllabus for chapter. The solutions are as follows.
  • Ch 1.1 #2 - True
  • Ch 1.1 # 6 - True
  • Ch 1.1 #8 - True
  • Ch 1.2 #2 - Degree of 2
  • Ch 1.3 #8 - (a-4b)(3c+d)
• Ch 1.2 #68 - The solution to this problem in the the "Solutions to Selected Problems" is incorrect. See the correct solution.
• Ch 1.6 Example 4 - More details on how the solution in the text is derived.
• Ch 2.1 #54 - The DVD covers this problem but what is written on the board has an error.
  

  x=wholesale

  x + x(60%) = 144

  x + 0.6x = 144

  1.06x = 144 ERROR - should be 1.6x = 144

• Ch 2.6 #29 - Solution posted.
• Ch 2.6 #87 - Solution posted.
• Trig Test 2 - 7.2 #36. The solution posted to this problem in the Teacher's Guide has a typo. The first line of the solution should say cot(x-y) = cos(x-y) / sin(x-y).
• Ch 8.3 #33 - The solution for this problem is incorrect In Version 1 and Version 2 of the Solutions to Selected Odd Problems as well as in the published Student's Solutions Manual offered by McGraw Hill (ISBN: 0-07-242736-1).The correct answer is they will slide to the right. (See full solution.)
• Chapter 1 Quiz
• Chapter 2 Quiz
• Chapter 3 Quiz
• Chapter 4 Quiz
• Chapter 5 Quiz
• Chapter 6 Quiz
• Chapter 7 Quiz
• Chapter 8 Quiz

Calculus 1

• Downloads: Teacher's Guide with tests and solutions
• Version 1 of the Teacher's Guide (look for a v1 in the bottom left corner of the pages) has an update to the test solutions for Test 1 and Test 2. See the errata for Calculus 1 v1. Thanks to Brian in Florida for catching these errors!
• Ch 1.3 #38 - Solution.
• Chapter 2.10 problem 12 solution
• Second Example of the quotient rule in video for 3.2 - There is an error in sign. Should have a minus sign in the numerator and the final answer should be
• .
• 
  
  - (x^2+4x+3)
  ------------------
  3x^4
  
  
• Teachers Guide Version 2 - Test 3, question #3 solution x^2 - 2xy + y^3 = C was differentiated as 2x - 2[xy(dy/dx) + y] + 3y^2 dy/dx = 0.  The term - 2xy should be differentiated as - 2[x(dy/dx) + y] or - 2x(dy/dx) - 2y, because the derivative of y in terms of x is y' or dx/dy, not y(dx/dy).  Therefore, the final answer should be
  dy/dx = (2y - 2x)/(3y^2 - 2x) or
  dy/dx = (2x - 2y)/(2x - 3y^2).  
• Video for Section 3.5
  43 min. 50 sec. into the lecture for 3.5, the following is stated:
  If u = 3X^2+2, then
  6X*3u^2 = 6X*(3X^2+2)
  
  This drops the ^2 on the term u to a ^1.
  
  This is corrected in the reworking of the example immediately following.  
  

Downloads

• Test grade sheets (MS Word, PDF)
• Syllabi
  • Geometry (Semester 1, Semester 2)
  • Algebra II
  • Trigonometry
  • Calculus 1