Calculus with Economic and
Business Applications I

Homework Assignments & Quiz/Test Announcements

Chapter and section numbers refer to the text (Introductory Mathematical Analysis for Business, Economics, and the Life and Social Sciences, Eleventh Edition, by Haeussler, Paul and Wood)

• Homework 1: Do by Fri Sep 16:
  0.7:  35, 39, 49, 59, 61, 65, 77, 89, 97, 99;
  0.8:  29, 45, 47, 53, 59, 63, 65, 69, 75, 81;
  1.1:  9, 13, 21, 25, 29, 31, 33, 43

  Quiz 1 is on Fri Sep 16 and will cover to the end of Sec 1.1

• Homework 2: Do by Fri Sep 23:
  2.1:  7, 13, 21, 27, 31, 37, 39, 41, 45, 49;
  2.2:  17, 19, 21, 31, 33, 37, 41;
  2.3:  3, 5, 13, 15, 17, 19;
  2.4:  1, 3, 5, 7, 9, 11;
  2.5:  5, 19, 27, 31, 37, 39, 41;
  3.2:  9, 11, 15, 17, 25;
  3.3:  9, 11, 27, 29;
  

  Quiz 2 is on Friday Sep 23 and will cover problems in 2.1-2.5

• Homework 3: Do by Fri Sep 30:
  10.1:  1, 11, 13, 17, 23, 27, 33, 37, 39, 41;
  10.2:  1, 3, 7, 15, 23, 25, 37, 43;
  

  Test 1 is on Friday Sep 30 and will cover to the end of 10.1

• Homework 4: Do by Fri Oct 7:
  11.1:  5, 17, 21, 25, 27;
  11.2:  5, 9, 11, 27, 31, 35, 39, 43, 61, 63, 79, 85;
  11.5:  9, 13, 15, 17, 19, 21, 29, 51, 53;
  11.6:  1, 3, 5, 11, 17, 23, 31, 35, 45, 49, 57, 61;
  

  Quiz 3 is on Friday Oct 7 and will cover problems in 11.1, 11.2 and 11.5

• Homework 5: Do by Fri Oct 14:
  Any of the odd numbered problems in 11.6:  9-61, in particular 11.6:  7, 13, 47, 51, 53, 55, 59, 71, 75, 75, 81;
  

  Quiz 4 is on Friday Oct 14 and will cover to the end of 11.6

• Homework 6: Do by Fri Oct 21:
  11.5:  59, 61, 71, 77;
  11.6:  65, 67, 69, 73, 79;
  11.7:  45, 49, 59, 61;
  4.1:  5, 9, 15, 19, 31, 35, 47, 49;
  4.2:  3, 5, 7, 11, 13, 19, 27, 43, 47, 51, 63, 65;
  4.3:  11, 13, 17, 35, 45, 47, 53;
  4.4:  13, 31, 35, 41;
  

  Quiz 5 is on Friday Oct 21 and will cover to the end of 11.7 (excluding 4.1-4.4), in particular: more chain rule practice, marginal revenue & cost, marginal revenue product, and relative rate of change.

• Supplement on Trigonometric Functions including Homework 7 (note typo in answer to problem 8 fixed Nov 2); do by Fri Oct 28
  

  Test 2 is on Friday Oct 28 and will cover everything to the end of class on Mon Oct 24, but will be focused on the material covered after Test 1, in particular (Clarification added Oct 26, 6:30 pm):

  • limits at infinity (10.2)
  • definition of derivative (11.1)
  • derivative rules: constant, sum, difference, quotient, product, chain rule, power rule (11.2, 11.5, 11.6, 11.7-review questions)
  • exponential and log functions (4.1-4.4)
  • derivatives of trig functions (handout, excluding questions 5, 6, 8, 9-- note typo in answer to problem 8 fixed Nov 2).
  • applications of derivatives: marginal revenue & cost, marginal revenue product, relative rate of change, equations of tangent lines.
  • derivatives of log and exponential functions (12.1, 12.2) will not be on the test
• Homework 8: do by Fri Nov 4
  Supplement on Trigonometric Functions II -- more exercises
  12.1:  11, 13, 19, 25, 37, 45, 47, 49, 51, 55;
  12.2:  7, 11, 17, 21, 23, 27, 29, 37, 39, 43, 45;
  12.3:  1, 3, 7, 11, 13, 17, 19, 23, 25, 27;
  

  Quiz 6 is on Friday Nov 4 and will cover the material in the first (note typo in answer to problem 8 fixed Nov 2) and second trig handouts, as well as the material in 12.1 and 12.2.

  The final exam schedule is now available.

• Homework 9: do by Fri Nov 11
  12.4:  3, 7, 15, 19, 23, 25, 27, 29, 31, 33;
  12.5:  5, 9, 15, 17, 21, 23, 25, 27;
  12.7:  1, 5, 7, 17, 21, 29, 31, 35, 37, 39
  
• Homework 10: do by Fri Nov 18
  12.6:  7, 9, 11, 13, 17, 19
  Supplement on Linear Approximation:  Read and work exercises at the end
  Solutions to linear approximation exercises.

  Quiz 7 is on Friday Nov 18 and will cover the material in 12.3-12.7 as well that of the Supplement on Linear Approximation

• Homework 11: do by Fri Nov 25
  13.1:  7, 25, 35, 47, 49, 57, 63, 69, 71
  13.2:  2, 9, 11
  13.3:  4, 15, 31, 39, 61
  13.4:  5, 11
  13.5:  35, 41, 47
  

  Test 3 is on Friday Nov 25 and will cover everything to the end of class on Fri Nov 18, but will be focused on the material covered after Test 2, in particular 12.1-12.7, 13.1-13.3, and the supplements on trigonometry and linear approximation. There will not be any questions on related rates of the type covered in the second trig handout.

  Here are some practice problems for the upcoming test. Some are a bit challenging, but completely within the scope of the material covered in class.

  Here are the solutions to problems on linear approximation.

• Homework 12: do by Fri Dec 2
  13.6:  3, 5, 7, 11, 13, 15, 17, 19, 21, 27, 31, 33, 37, 41
  
• Homework 13: do before the exam
  5.1:  3, 5, 9, 11, 17, 19, 21
  5.2:  1, 3, 9, 13, 15, 17, 21
  5.3:  13, 15, 19, 21, 25, 27, 29
  10.3:  3, 15, 19
  

  Quiz 8 is on Friday Dec 2 and will cover the material in 13.4-13.6.

Exam Period Notes

• Here are some practice problems for the final exam. Some are a bit challenging, but completely within the scope of the material covered in class. Solutions will be posted shortly-- check back here later.
• Solutions to shorter exam review problems
• Solutions to longer exam review problems
• There will be a final exam problem session on Wed Dec 7 from 9:00 am to noon in Room 324 of Building  360 (the Math and Chem building). This is meant to be an informal session where you may ask questions, I can give you problems to try, we can go over the practice problems, etc. Attendance is optional.
• The final exam is on Fri Dec 9 at 9:00 am in Building 370 Room 111. The exam is comprehensive, covering all material since the first day of the course. The practice problems are a very good indicator of the type of questions to expect on the exam.

  The format of the exam is

  1. Question 1: 20 short answer problems worth 2% each. These are short problems requiring only one or two steps and should take no more than 5 minutes each.
  2. Questions 2-7: The remainder of the exam consists of 6 long answer questions each worth 10% and requiring approximately 10 minutes each.
  3. A formula sheet will be provided containing the formulas for elasticity of demand, Newton's Method, compound interest, and present and future values of annuities. It will not contain the formulas for the differentiation rules we have learned: these you should know. You should also know the formulas for marginal cost, revenue, marginal revenue product, and the various logarithm laws such as ln(ab)=ln(a)+ln(b), ln(e)=1, etc.

  A few final notes: You must bring your student i.d. card to the exam. You may use a non-graphing, non-programmable scientific calculator for your work. You many NOT use your cell phone for a clock; all cell phones must be turned off and put away during the exam.

• I will be available in my office on Wed Dec 7 from 1:00-4:00 for help. It is unlikely that I will be available on Thu Dec 8 in the morning. If that changes I will post a note here.
• Final grades are now posted. I will not discuss final exam grades by email or phone, however you may view your final exam if you wish. Please email me to arrange a time in this case.

Quiz and Test Solutions

• Quiz 1
• Quiz 2
• Test 1
• Quiz 3
• Quiz 4
• Quiz 5
• Test 2
• Quiz 6
• Quiz 7
• Test 3
• Quiz 8