Class: MATH 1231 (Calculus for Business and Economics) Spring 2014.

CRN: 30714

Instructor: Ivan Zaigralin.

Email: Go to and type "show email".

Class Meetings: Mon, Wed, Thu 8:00am-9:05am in Robinson Hall 411.

Office Hours: Mon, Wed, Thu 12:00pm-1:00pm in Nightingale Hall 540A.

Materials: Calculus Concepts (Fifth Edition): An Informal Approach to the Mathematics of Change by LaTorre et al, Brooks/Cole, Cengage Learning, 2012 with Enhanced Web Assign (EWA). The TI-83 (TI-83 Plus) or TI-84 (TI-84 Plus) calculator is required. No other calculator may be used on tests or the project without the explicit permission of your instructor. A class packet (for Spring 2014) must also be purchased from NU Reprographics (x2766). Please bring your packet and calculator to each class.

Course Content: This course introduces students to the use of derivatives and integrals in solving problems in business and economics, e.g., maximizing profit, calculating average investment income, future value of an income stream, and consumers' surplus. (A more detailed syllabus is given below.) A project involving optimization is also required. This project is described in the class packet. The graphing calculator is used extensively and prior familiarity with graphing calculators is helpful. Prerequisites: MATH 1130 (formerly MTH U130) or the equivalent.

You have several options for obtaining the textbook and EWA:

  1. You can purchase the "bundle" at the NU Bookstore which includes the hardcover textbook and the access code to the EWA online homework or you can purchase the "Standalone" code that includes the ebook as an option. The second option is much cheaper.
  2. You can purchase the Standalone Access Code on CengageBrain, the ecommerce website, by visiting Here is the ISBN: 9781285857589 (EWA + eBook).
  3. You can purchase the Standalone Access Code directly through the WebAssign Home Page, Use the same ISBN as above.

Assignments: A list of homework exercises from the textbook and class packet is found below. (This list is subject to revision.) Homework exercises should be done by the next class after they are assigned. You are responsible for knowing the solutions of all homework exercises. The questions on exams and quizzes will be based on homework exercises from the textbook, packet, quiz and test review exercises in the packet and the material in lectures. In order to get credit for doing homework you must do the corresponding exercises on line using EWA. Your scores will be recorded automatically, and this will be the basis of your homework grade. (Mac users please note: EWA does not work well with the Safari browser, please use the Firefox browser instead.)

Tests and Quizzes: There will be 8 or 9 quizzes (20-30 minutes each), a 65-minute test (the midterm), and the final exam. Ordinarily there will be no make-up quizzes; instead, I will drop the lowest quiz score. There may be exceptions to this policy for students due to their religious observances or their participation in university-sponsored activities. Students should confer with me about such circumstances as far in advance as possible.

We will have one 65-minute midterm during the semester on February 20 (this date is tentative). In the rare event that a student misses this test due to a university-sanctioned absence or religious observances, the final exam score will be counted in place of the test that was missed. The two hour, common, commonly graded, final exam will count as 40% of your grade in this course. You must take the final exam during the time it is scheduled unless you have a registrar-created conflict. The final will be given between April 17 and April 25. Do not make travel plans that conflict with the exam. There is no make-up for the final.

No Make-ups: There will be no make-ups for any of the class assignments: quizzes, tests, final. The only exceptions are provided by the University policy.

Snow Days: If classes are canceled due to snow, or for other official reasons, any scheduled quiz or exam will occur on the next class meeting.

Technology: All computers should be completely silent during all class meetings; this includes laptops, tablets, and cell phones. Students may use any form of computer technology to aid them during the lectures. During quizzes, tests, and the final only the pre-approved calculators are allowed. Regardless of technology in use, students are required to show all relevant work in order to receive credit.

Grading: The course grade will be determined as follows:
Final Exam: 40%
Quizzes: 25% (The lowest quiz grade will be dropped).
Midterm: 15%
Project: 15%
EWA homework: 5%

You will be graded on the following scale:

Total Average Grade for Course
90-92 A-
87-89 B+
83-86 B
80-82 B-
77-79 C+
73-76 C
70-72 C-
67-69 D+
63-66 D
60-62 D-
0-59 F

As a matter of Math Department policy, the "I" grade (incomplete) will be given only rarely. It is intended to cover real emergency situations in which a student who is doing reasonably well ("C-" or better) is unable, due to circumstances beyond the student's control, to complete all course requirements (for example, is unable to take the final exam due to hospitalization). An "I" grade may not be used to rescue a failing grade, or to postpone the final.

Attendance: You are expected in class each day. If you are unable to come to a class for some reason, then (if possible) please send an e-mail to let me know. Three or more unexplained absences will lower your final grade. Makeup tests are available only in very special circumstances, like participation in university sanctioned activities or jury duty, and are granted only after consultation with and approval by your instructor.

Travel Plans: It is NOT possible to change the scheduled time for the final exam. So, do not make your travel plans to conflict with the final exam schedule.

Additional Resources: The Mathematics Department Tutoring Center is in Room 540B, Nightingale Hall. Tutoring should begin there two weeks after the start of classes. The tentative schedule is 10am-8pm on Mondays, Tuesdays, and Wednesdays; 10am-6pm on Thursdays; and 10am-1pm on Fridays. This is walk-in tutoring; no appointment is necessary. If there is a discrepancy between how the tutors present material and how your instructor presents material, you should follow your instructor's presentation, but you should discuss the matter with your instructor.

Issues with The Course/Instructor: If you have issues with this course and/or instructor which you are not comfortable discussing with your instructor, you should contact the course coordinator, Prof. Rekha Bai, 541 LA, x5640, If you are not satisfied with his response, you should contact Prof. David Massey,

Academic Honesty: The university views academic dishonesty as one of the most serious offenses that a student can commit while in college and imposes appropriate sanctions on violations. Cheating on a quiz or exam will not be tolerated. All incidents of cheating will be reported to the Office of Judicial Affairs. The University's policy on cheating and related disciplinary actions are detailed in the Student Handbook and at the following web site:

Note The Following Dates:
Monday, January 6: Classes begin
Monday, January 20: MLK Day, no classes
Monday, January 27: Last day to drop a class without a "W" grade
Tuesday, January 28: Last day to file a Final Exam conflict form
Monday, February 17: Presidents' Day, no classes
March 1 - March 9: Spring Break, no classes
Tuesday, April 1: Last day to drop a class with a "W" grade
Tuesday, April 15: Last day of classes
Wednesday, April 16: Reading Day
April 17-25: Final Exam Period
Monday, April 21: Patriots' Day, no exams or classes

These and other important dates may be referenced in the official University calendar:

Evaluations: At the end of the semester, every student is expected to complete the online TRACE survey evaluations of the course.

Tentative Lesson Plan:

Date Topic Homework
1/6 2.1: Average Rate of Change HW: 9, 17, 18, 22(a). Read project description in the packet.
1/8 2.1, Using the TI-84, Quiz 1HW: 13, 23, 24(abc); packet Model Review probs 1, 2. Read packet notes on Use of the Calculator, Scatter Plots and Models on the TI 83-84; See textbook page 121.
1/9 2.2; 2.3: Tangent line and the derivativeHW: 2.2: 7, 8, 11(ab), 13(ab), 15, 17, 19, 21; 2.3: 2, 5, 13, 14(ab).
1/13 2.4: Differentiability, 2.5: Limit definition of the derivative HW: 2.4: 1, 3, 15-18; 2.5: 1, 3, 4, 5.
1/15 2.6: Slope Graphs; 3.1: Deriv. Rules; Powers and Logs (See packet) HW: 2.6: 2, 3, 6; packet Algebra Review Probs. 1-5.
1/16 3.2: More Deriv. Rules; Quiz 2 HW: 3.1: 1-27(odds), 29(abc).
1/22 3.1; 3.2 continued HW: 3.2: 1-14
1/23 Project part A due; 3.3: Chain Rule HW 3.3: 9, 10, 14
1/27 3.4: Chain rule (contd); Quiz 3 HW: 3.4: 1-28.
1/29 3.5: Product Rule HW: 3.5: 1, 4, 11, 12, 13, 16, 19.
1/30 3.6: Product Rule (contd) HW: 3.6: 1-17(odds).
2/3 Using nDeriv on the TI-84 (word problems); Word Problems (3.1, 3.2) HW: 3.1: 31(ab), 35, 36; 3.2: 21, 28; packet Compound Interest Review Probs: 1, 2.
2/5 Word problems (3.3-3.6) HW: 3.4: 34, 38, 42.
2/6 Quiz 4 HW: 3.6: 21(abc), 22, 23.
2/10 4.1: Approximating Change; 4.5: Marginal Revenue, Marginal Cost, Marginal Profit; Project part B due HW: 4.1: 2, 5, 7; HW: 4.5: 1, 3, 5, 7, 9, 11, 16(ab), 17(abc); packet Algebra Review probs 6-12.
2/12 4.2: Optimization, Critical points, Relative and absolute extreme points, First Derivative TestHW: 4.2: 1, 3, 5, 9, 11, 13, 15, 21, 23.
2/13 Optimization (contd), Second derivative and concavity, Second Derivative Test, Notes on Optimization (class packet) HW: 4.4: 11, 13, 15; HW: packet Optimization problems 1-10.
2/19 Midterm Review
2/20 Midterm
2/24 4.4: Inflection Points; Point of diminishing returns; Project part C due HW: 4.4: 1, 2, 19; packet Optimization problems 11-18.
2/26 4.3: Optimization using the calculator HW: 4.3: 17 (like project optimization), 20
2/27 Finding inf. pts. with the TI-84; Quiz 5; Anti-derivatives HW: 4.4: 30, 31 (see packet notes); packet Anti-derivative problems 1-5.
3/10 5.4, 5.5: The general anti-derivative HW: 5.4: 11-15, 18, 25, 29; packet Additional Anti-derivative probs 6-12; 5.5: 1, 3, 6.
3/12 Finding a specific anti-derivative; Word problems on anti-derivatives; Project part D dueHW: 5.4: 19-21; 23(a); 5.5: 21(a), 22(a).
3/13 Quiz 6
3/17 Area under a curve; Area approximation by rectangles HW: 5.2: 8; packet Area Approximation problems: 3.
3/19 The definite integral (p. 336); Accumulated Change; Properties of the definite integral (Packet Notes)HW: 5.1: 7, 8; 5.2: 4; 5.3: 5(b).
3/20 Fundamental Thm of Calculus (p. 375); Project revised part D due; Quiz 7 HW: Packet problems on Properties of def. ints: 1-4; 5.6: 9.
3/24 Fundamental Thm of Calculus HW: packet Additional Definite integral problems 1-7.
3/26 Project presentation HW: packet Additional Definite integral problems 8-10
3/27 Quiz 8; Using fnInt on the TI-84; 5.6: Setting up, interpreting def. integralsHW: 5.6: 4, 16.
3/31 5.8: Average value of a function; Average value of the rate of change HW: 1, 3, 5.
4/2 Differentials; Integration by u-substitution Packet Integration by substitution problems: 1-6.
4/3 Quiz 9; 5.9: Integration by u-substitution HW: 5.9: 1, 3, 5, 8, 11, 15, 20; Packet Integration by substitution problems: 7-19.
4/7 Project presentation
4/9 Anti-derivatives Review
4/10 Review for final exam; Student evaluations
4/14 Review for final exam
Cumulative Departmental Final Exam