We will mostly stick to the homework exercises listed on the last page of the course outline (available here or here), but due dates and any changes to the list of assigned exercises will be announced in class, and will also be posted below.

• HW#10, due Mon Dec 21 (day of final exam):
  • Final Exam Review: #1(b)(d), #2(b), #3(b), #4(a), #5(a), #6(b)(c), #14(b)(d), #15 all, #16 all
  • see my Guide to the Final Exam (Review) for a guide to these and the other Final Exam Review exercises

• HW#9, due Wed Dec 9:
  • Ch 17 Exercises (pp249-251): 17.2(b)(d)(e), 17.6(a)-(d)
  • Ch 20 Exercises (p283): 20.1(e)(f)(g)(i)(j)
  • Final Exam Review: #11(a)(b)(c)

• HW#8, due Wed Nov 25:
  • Ch 13 Exercises (pp197-198): 13.4, 13.5(a)(b), 13.6(a)-(d)
  • Ch 14 Exercises (pp206-207): 14.1(a)(b)(d)(f), 14.2(a)-(d), 14.3(a)-(e), 14.4(a)(b)(e)(f), 14.5(a)-(c)
  • Ch 15 Exercises (pp214-215): 15.4, 15.6, 15.8
    • Read Example 15.8 for guidance
  • Ch 16 Exercises – optional, for extra credit (pp226): 16.5, 16.7, 16.8, 16.9(a)(b)
    • Read Examples 16.6, 16.7, 16.11

• HW#7, due Wed Nov 11:
  • Ch 12 Exercises (pp179-180):

  12.2(a)-(d); 12.4(a)&(e) (For each of the Ch 12 exercises include a sketch of the function used to solve the inequality, indicating the roots of the function and the regions corresponding to the solution set of the inequality.)

  • Review of polynomials and rational functions (pp181-182): II.1, II.2, II.3, II.6 (also sketch a graph of the function), II.10(b)&(c)

• HW#6, due Wed Nov 4:
  • Ch 12 Exercises: TBA
    • Ch 11 Exercises (p168): 11.1(a), 11.3(a), 11.4(a).  For each of these rational functions:
      • find the domain of the function;
      • solve for the x- and y-intercepts algebraically;
      • find the vertical and horizontal asymptotes;
      • sketch a complete graph of the function.

• HW#5, due Mon Oct 26:
  • Ch 8 Exercises (pp111-112): 
    • 8.1(a)-(c),(l)
    • 8.2(a)-(c) [see Example 8.11–you don’t need to do any long division]
    • 8.3(a)-(d) [see Example 8.12–again, you don’t need to do any long division]
    • 8.4(a)-(d) [see Example 8.13–for these you will need to do long division]
  • Ch 9 Exercises (pp127-128):
    • 9.5(b),(c): For each of these functions:
      1. Use a graphing calculator such as a TI-84 or Desmos.com to generate a complete graph of the function.
      2. Use the graphing calculator to find the relative maxima and minima.
      3. Find all roots of the function algebraically. (Use the graph to identify what appears to be an integer root, verify that it is actually a root, and then use long division to factor the polynomial.)
      4. Find the y-intercept of the graph.
      5. Finally, use all this information to sketch a complete graph of the function. Indicate on the graph the relative maxima and minima, the x-intercept(s) and the y-intercept.
    • Look at example we went through in class on Wednesday 10/21, with f(x) = x^3 – 4x^2 – 2x + 8; also look at Example 10.7(a) in the textbook for example that does uses a root from the graph to factor a polynomial.

• HW#4, due Wed Oct 7:
  • Ch 7 Exercises (pp95-96): 7.1(c),(e),(g); 7.2(a)-(d) & (l)-(n)
  • Review of Functions & Graphs (pp98-99): I.2, I.4, I.5, I.6, I.7, I.10
  • Note: Exam #1 will be Wed Oct 7. HW#4 will be a good review for the exam. Further review exercises will be announced in class on Mon Oct 5.

• HW#3, due Mon Sept 28:
  • Ch 5 Exercises (pp73-74): 5.1, 5.2(a)-(c), 5.3(a)-(d)
  • Ch 6 Exercises (pp-): 6.1(a), (d), (e); 6.2(a), (c), (d); 6.3(a)-(c); 6.4(a), (b); 6.5(a), (b); 6.6, 6.7

• Quiz #1 (Mon Sept 21): We will have our first quiz on Monday, September 21. It will be very short, 10-15 minutes, consisting of two problems. You should review the following exercises for Quiz #1:
  • absolute value inequalities: Exercise 1.7 (HW #1) & Final Exam Review #2
  • difference quotients: Exercise 3.4 (HW #2) & Final Exam Review #4(The MAT1375 Final Exam Review sheet can be downloaded from the “Files” section of the Course Profile, or from the Math Dept website:
    http://www.citytech.cuny.edu/academics/deptsites/mathematics/finalExamReview.aspx)

• HW#2, due Wed Sept 16 (extended to Mon Sept 21):
  • Ch 3 Exercises (pp45-47): 3.1 (a)-(b), 3.2, 3.4 (a)-(f), 3.6 (a)-(f), 3.7 (a)-(g) and (m)-(t), 3.8
  • Ch 4 Exercises (pp61-62): 4.1 (b)-(d), 4.3 (a)-(c), (g)-(i)
    • For each of the Ch 4 exercises, you will need to use either a graphing calculator or an app/websiteor (such as the website I showed in class last week: https://www.desmos.com/; they also have apps for iOS and Android).
    • For each exercise, either sketch the graph by hand after using technology, or print out the graph.

• HW#1, due Wed Sept 9:
  • Ch 1 Exercises (pp11-12): #1.3 (a)-(k), 1.4 (a)-(h), 1.6, 1.7 (a)-(f)
  • Ch 2 Exercises (pp28-31): #2.1(a)-(c), 2.2(a)-(c), 2.3(a)-(b), 2.8