MAT 1316.02, Business Math II (M/W 2:30 Class), Spring 2015

Good Links

1. Course Syllabus

2. List of Powers of Several Small Integers

3. Some Calculator Recommendations

4. Grade Estimator Tool

5. A pdf copy of the text can be viewed or downloaded here.

6. A printed copy of the text can be ordered here (for about $10)

7. Key for Quiz 1

8. Key for Quiz 2

9. Key for Quiz 5

10. Key for Quiz 6

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Homework Assignments

Advice because I love you like you are my own: You MUST be able to multiply and factor polynomials to succeed in this class! You must also be proficient with properties of exponents. If any of the problems on Factoring, or Simplifying give you trouble, then you need to spend some time right away brushing up your basic algebra skills. You can always use the sections recommended in the text for review. Here are some websites with practice problems. You might try these as well. Keep reviewing until you can multiply, factor and simplify the polynomials given in the Chapter Warm-up and in the first assignment from section 9.1.

Additional Algebra Practice Material: Adding and Subtracting Polynomials Multiplying Binomials with the FOIL method Multiplying Other Polynomials Factoring a difference of two squares Factoring Polynomials One Factoring Polynomials Two Factoring Polynomials Three Factoring Polynomials Four Factoring Polynomials by Grouping --------------------------------------------------------------- HW0: Read and Study the following material to refresh the basic algebra skills you are assumed to have as you begin this course. Try the given problems. I will work examples of the most important ones during class on Wednesday. On Integer Exponents and Properties On Adding, Subtracting and Multiplying Polynomials On Factoring Polynomials On Simplifying Rational Expressions On Rational Exponents and Properties Note: All the algebra review sections above are also available in a pdf file you can download. The filenames and urls to use to download are:
Practice Problems
FilenameURL for download
Alg_Complete_Practice.pdfhttp://tutorial.math.lamar.edu/getfile.aspx?file=B,9,P
Practice Problems Solutions
FilenameURL for download
Alg_Complete_Solutions.pdfhttp://tutorial.math.lamar.edu/downloadfile.aspx?file=B,9,S
Full Algebra Text for Review
FilenameURL for download
Alg_Complete.pdfhttp://tutorial.math.lamar.edu/downloadfile.aspx?file=B,9,N
Due: Start of class, Wed. 1/14 --------------------------------------------------------------- HW1: Make sure you can do problems from the Practice Problems in the reading assignment HW0 like these: ** Integer Exponents, Problems 1-9 * Rational Exponents, Problems 1-10 Radicals, Problems, Problems 1-14 (It is ok to learn these as we proceed through the semester) * Polynomials, Problems Problems 1-10 ** Factoring Polynomials, Problems 1-18 R&S Rational Expressions Due: Start of class, Mon. 1/19 --------------------------------------------------------------- HW2: Do problems 1-8,10,11 from this link. (If you are lost, study this link. R&S (read and study) pgs 73-78 in our text (link 4 above). Due: Start of class, Wed 1/21 --------------------------------------------------------------- HW3: Do problems 5-6 on page 79 of our text, using the Calculator Method that is shown in the lecture notes. Lecture Notes for Wednesday, 1/21 Due: Start of class, Mon. 1/26 --------------------------------------------------------------- HW4: We looked at examples from here and here. Text, 2.1 Exercises, pgs 78-79: #'s 1 and 2 Text, 2.1 Exercises, pgs 78-79: #'s 5 and 6 using the Algebraic Method Paul's Notes on Calculus - Limits, Problems 4, 5, and 6 Paul's Notes on Calculus - One Sided Limits, Problems 1 and 2 Do problems a-f on the handout I gave in class (here it is if you've misplaced it) R&S (read and study) pgs 73-78 in our text (link 4 above). Due: Start of class, Wed 1/28 --------------------------------------------------------------- Our first quiz over HW1-HW4 will be Wednesday, 1/28 The only HW4 problems will be the finding the limit by the graph problems Remember to bring your study sheet and calculator! --------------------------------------------------------------- HW5: Do problems 1-8 on this handout. (Solutions) If you find these problems confusing, here is a pdf file containing a summary of the lecture over this material and some examples. Due: Start of class, Mon. 2/2 --------------------------------------------------------------- HW6: Do problems 2,3,4-8 in our text (Solutions) (pages 105-106 - just find the derivative of these, ignore the rest of the instructions) Do problems 1-12 here. Check your answers with the solutions available! R&S pgs 97-106 in our text. Due: Start of class, Wed 2/4 Note: The author's examples 5, 6, and 7 on pages 99-100 of our text are also excellent practice problems! --------------------------------------------------------------- HW7: Do problems 7,8,9 in our text (pg 113). Do handout 1 (here) Do handout 2 (here) R&S pgs 107-112 in our text. Due: Start of class, Mon. 2/9 --------------------------------------------------------------- HW8: Do problems 7-11 in our text (pg 122). Do the following problems on Schaum's Handout (here) #'s 5.12 a,b,d; 5.13 a,b,c; 5.14 a,b,c Lecture Notes for Monday, 2/9 Lecture Notes for Tuesday, 2/10 Due: Start of class, Wed 2/11 --------------------------------------------------------------- Our second quiz over HW4-HW7 will be Wednesday, 2/11 There will be one page of limits by the algebra method, one problem of finding the Instantaneous Rate of a Function by the definition (like HW5). The rest of the problems will be finding the derivative by the shortcut rules (like HW6 and HW7) Remember to bring your study sheet and calculator! --------------------------------------------------------------- HW9: Do problems7a,7b,7c,7d on the little handout (here ). Answers to the little handout problems: (here ). Do problems 3b,3c,17a,19,27 on the big handout (here ). Answers to the big handout problems: (here ). Due: Start of class, Wed 2/18 --------------------------------------------------------------- HW10: Do Text Problems 16-21, pg 128. ( solutions here ) Do problem 8 on the little handout (here ). Answers to the little handout problems: (here ). Do problems 5,35,37 on the big handout (here ). Answers to the big handout problems: (here ). Do all problems on the Marginal Analysis Handout: (here ). Answers to the Marginal Analysis Handout: (here ). Due: Start of class, Mon 2/23 --------------------------------------------------------------- Our third quiz over HW8-HW10 will be Wednesday, 2/25 There will be problems on finding successive derivatives of a function - some of these will need to be simplified and some will not. There will be problems on using marginal analysis for cost, revenue and profit functions like the handout problems. Remember to bring your study sheet and calculator! --------------------------------------------------------------- HW11: Do the sign-graph handout ( here ). (Answers ( here ). Due: Start of class, Wed 2/25 --------------------------------------------------------------- HW12: Do the critical points handout ( here ). (Answers ( here ). Due: Start of class, Mon 3/2 --------------------------------------------------------------- HW13: Do problems 3-6,8-11,14,15 on page 139 of our text. solutions ( here ) Instead of following the text instructions for the problems, just do them like our last examples in class: find the critical points, create the sign chart and sketch the graph showing all "important" points (each critical point and the y-intercept). Lecture Notes for Monday, 3/2 Due: Start of class, Wed 3/4 --------------------------------------------------------------- HW14: Do all the problems on this handout. ( solutions ) Due: Start of class, Mon 3/9 --------------------------------------------------------------- HW15: On today's asymptotes handout, do the following problems: pg 754 #'s 5,7,9 (vertical asymptotes only - ignore the horizontal ones). pg 754 #'s 11,13 (like the example we did in class) If AC(x) = 30x + 450/x where x is 100s of items sold and AC is 1000s of dollars cost, what is the minimum average cost and how many items should be sold to achieve it? BONUS: What is the total cost at this sales level? Text, page 149, #'s 6.15 a-e Lecture Notes for Monday, 3/9 Due: Start of class, Mon 3/23 --------------------------------------------------------------- Our fourth quiz over HW11-HW14 will be Wednesday, 3/11 The problems will be similar to the handout problems. You must be able to take derivatives of a function, simplify the derivatives, find all critical points, create and interpret a sign chart, sketch the graph with all relative extreme values identified. Remember to bring your study sheet and calculator! --------------------------------------------------------------- HW16: Logs handout (here) Problems pg 708, #'s 1-11,19-37 odd. Some student solutions to some of the 11.1 hw problems Some sample problems from old quizzes (with solutions) Lecture Notes for Monday, 3/23 Due: Start of class, Wed 3/25 --------------------------------------------------------------- HW17: Exponential Functions Handout (here) Problems pg 714, #'s 1-33 odd. Some student solutions to some of the 11.2 hw problems Lecture Notes from Wednesday, 3/25 Due: Start of class, Mon 3/30 --------------------------------------------------------------- Our fifth quiz over HW16-HW17 will be Wednesday, 4/1 (No questions from HW15 on Asymptotes, Concavity, or Graphing) The problems will be similar to the handout problems (HW16 & HW17) and examples worked in class. Remember to bring your study sheet and calculator! --------------------------------------------------------------- HW18: Logs handout (here) Problems pg 708, #'s 43a,b; 52. Lecture Notes for Monday, 3/30 and some 3/25 notes Due: Start of class, Wed 4/1 --------------------------------------------------------------- HW19: Do problems 7-19 odd on this handout (Implicit Differentiation). Due: Start of class, Mon 4/6 --------------------------------------------------------------- HW20: Do problems 1,3,5,7,9,17,18,19,23,24,29 from this handout (Related Rates). Missing pages from above handout Lecture Notes from Monday, 4/6 Due: Start of class, Wed 4/8 --------------------------------------------------------------- HW21: Functions of Two Variables - Intro and Partial Derivatives Some of the text examples are representative of what you need to know how to do from these pages. They are: pg 236, ex 4a, 4b, ex 5; pg 258, ex 3; pg 259, ex 4, ex 5; Do the following problems from the text: pg 249, #'s 1a, 1b, 1e pgs 262, #'s 1-16, 19-20 Solutions Lecture Notes from Wednesday, 4/8 Due: Start of class, Mon 4/13 --------------------------------------------------------------- Our sixth and last quiz over HW19-HW21 will be Wednesday, 4/15 The problems will be similar to the handout problems (HW19 - HW21), text problems, and examples worked in class. Remember to bring your study sheet and calculator! --------------------------------------------------------------- Some good examples of the homework problems from 11-3 and 11-4 --------------------------------------------------------------- HW22: Functions of Two Variables - Optimization Do the following problems from the text: pg 272, #'s 1-8, ( solutions ) Lecture Notes from Monday, 4/13 Due: Start of class, Wed 4/15 --------------------------------------------------------------- HW23: Optimization of Two-Variable Functions Do the following problems from the text: pg 272, #'s 7-10 Lecture Notes from Wednesday, 4/20 Lecture Notes from Thursday, 4/21 Due: Start of class, Wed 4/22 --------------------------------------------------------------- HW24: Optimization of Two-Variable Functions, Antiderivative/Integrals Do the problems on this handout. (Answers) Do the following problems from the text: pg 196, #'s 1-10 Lecture Notes from Thursday, 4/23 Due: Start of class, Mon 4/27 --------------------------------------------------------------- HW25: Substitution Rule: From this website - Do problems 1-4, and 17a,b,c Definite Integrals: From this website Do problems 2-9. (Solutions are on the site). Area between curves: Do problems 7 and 13 on page 213. Continuous Income Streams: Do these problems. (solutions ) Lecture Notes from Monday, 4/27 Due: Start of class, Wed 4/29 --------------------------------------------------------------- Some helpful practice links for integrals: Some good notes and examples on basic integrals Good extra practice problems on simple integrals with solutions In particular, try problems 1-13 and 17-20
Excellent notes and examples on using the Substitution Rule (Just ignore anything that has trig functions like "sin", "cos", "tan" in it)
--------------------------------------------------------------- HW26: Total Cost, Revenue and Profit functions from marginal functions handout. Lecture Notes from Wednesday, 4/29 Do problems 1,3,5,7b,9a,11 from this handout. --------------------------------------------------------------- Final Material: 1) Be able to find the partial derivatives and use them to find critical points and maximimums, minimums and saddle points of functions of two variables (HW 22,23,24a). 2) Be able to find basic integrals (HW 24b, the link on "Good extra practice problems on simple integrals"), definite integrals (HW 25b), and more complicated integrals using the substitution method (HW25a). 3) Be able to do simple area under curve problems (HW25c). 4) Be able to do continuous income stream problems (HW25d). 5) Be able to do applications on finding the total cost, revenue and profit functions from the marginal functions (HW26). You may bring up to 4 pages of study notes. You may take the exam either on Saturday, May 2nd from 3:15-5:15pm or on Tuesday, May 5th from 1:00-3:00pm. Both exams are in our regular classroom. Feel free as you are studying to take a picture of your problem and email it to me for advice. Do NOT just ask me, "How do I do problem 17" without showing my some work. I will NOT do homework for you, but I am delighted to help any student who is giving an honest effort! I have enjoyed having you in my class this semester immensely! --------------------------------------------------------------- Note: On all emails for this course, start the subject line out with MAT1316, followed by whatever else is appropriate. Emails without this subject line formatting may not be accepted!



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Last updated on ... Jan 14, 2015

Created on ... Jan 10, 2015