Business Calculus I

Math 1425: Business Calculus I

Fall 2009

Synonym: 42091, Section: 002, Northridge 2245
Monday / Wednesday 1:30 – 2:10 PM


Synonym: 42092, Section: 003, Northridge 2244
Tuesday / Thursday 12:25 - 2:05 PM

General information about the prerequisite courses required for ACC calculus courses (and this differs between "Business Calculus I" and "Calculus I") is found here.

Course Content:

Course Description : MATH 1425 BUSINESS CALCULUS AND APPLICATIONS I (4-4-0) is a course treating standard one-variable calculus and its applications for business students, as well as selected other business applications, and an introduction to multivariable calculus. Calculus topics include the derivative, methods of finding derivatives, applications of derivatives, the integral, methods of integration, applications of integration, and the calculus of the exponential and logarithmic functions. Multivariable calculus topics include partial derivatives and finding local extrema. Prerequisites: One semester of high school elementary analysis or the equivalent with a grade of B or better or MATH 1324 or 1314 or the equivalent.

Instructional Methodology : This course is taught primarily through a lecture format.

Course Rationale : This course is a standard calculus course for business students. At ACC it is part of a two-course business calculus sequence. Business Calculus I covers one-variable calculus and some multivariable calculus. The course stresses applications in business and economics, and is intended to give business students the appropriate conceptual and computational mathematical background for future study in business.


Please make sure you have the necessary prerequisites for this course. That means you need a C or better in College Algebra or Math for Business and Economics courses (or an equivalent course) or an acceptable grade on placement tests. If I feel you are not prepared for this course, I may choose to withdraw you. If you have any questions about your preparation for the course, please come and talk to me about it.

Course Materials:

Textbook : Applied Calculus with Linear Programming a Special Edition by Barnett & Ziegler, Pearson Custom Publishing. ISBN 0-536-97277-X (if you need Business Calculus I and II) or Applied Calculus with Linear Programming. Math 1425 by Barnett & Ziegler, ISBN- 0555039560  (Business Calculus I only)

Optional : Student Solutions Manual, ISBN 0-536-974055 solutions to selected odd problems.

Calculator : Students need either a scientific or business calculator. If you cannot purchase one, they are available from the library.  Graphing calculators are encouraged, but their use may be restricted on the graphing test.  Most ACC faculty are familiar with the TI family of graphing calculators. Hence, TI calculators are highly recommended for student use.  Other calculator brands can also be used.  Your instructor will determine the extent of calculator use in your class section.


There will be 3 or 4 exams and a comprehensive final during the term, each of which will count equally towards your grade. The tests will comprise 90% of your grade. There may also be a few extra projects on calculus applications assigned during the semester as well. The remaining 10% of your grade will be based on your homework assignments and any extra projects.

You may earn bonus points on each test, except for the final test, by correcting all errors and turning them in by the announced deadline. If you submit these corrections for every test that you make less than a 90 and you have a homework average of at least 80%, then I will replace your lowest test grade with the average of that grade and your grade on the final exam. If you take any test late for any reason, there will be a penalty of 10 points off your test grade, from the deadline for the test announced in class until the day graded tests are returned to the class. However, no late tests will be allowed after the graded tests are handed back in class.

If you miss a test, you must try to take it during this “late” period. If you miss this deadline as well, I may consider allowing you to make-up the test or hand in corrections on all tests and replace part of the missed test with your grade on the final, but only in the case of serious illness or emergency. Make-ups of any sort are solely at the discretion of the instructor. All tests and assignments must be turned in on or before the last class meeting.

Grades will be assigned as follows:


90% or better and a grade of at least 75 on the final


60% - 69%


80% - 89% and a grade of at least 65 on the final


below 60%


70% - 79% and a grade of at least 55 on the final



Withdrawn by student or instructor prior to last withdrawal date on school calendar


Incomplete grades (I) will be given only in very rare circumstances. Generally, to receive a grade of "I", a student must have taken all tests, be passing, and after the last date to withdraw, have a personal tragedy occur which prevents course completion.


You should bring your homework to class every day. It will be collected regularly. There may also be in-class assignments or quizzes collected for a grade (as part of your homework grade). There will be a penalty on late homework. Homework that is more than a week late might not receive any credit. If you do not follow the instructions that will be announced in class about how to organize and submit your homework, you may not receive full (or any) credit for it.


Attendance is required in this course.  It is extremely important for you to attend class regularly. Although I may not take regular attendance, I MAY drop you from the course for excessive absences, although I make no commitment to do so.


It is the student's responsibility to initiate all withdrawals in this course. The instructor may withdraw students for excessive absences (4) but makes no commitment to do this for the student. (If you decide to stop coming, you had best make sure that you drop the course. While we MIGHT do this, it is YOUR responsibility. If you fail to do so, you could receive an F on your permanent record.) After the withdrawal deadline, neither the student nor the instructor may initiate a withdrawal. If you are withdrawn by mistake, we will only consider reinstating you if you have taken all necessary tests, are current in your homework, and have not missed an excessive number of classes. The withdrawal deadline for Fall 2009 is November 23, 2009.

Classroom behavior:

Classroom behavior should support and enhance learning. Behavior that disrupts the learning process will be dealt with appropriately, which may include having the student leave class for the rest of that day. In serious cases, disruptive behavior may lead to a student being withdrawn from the class. ACC's policy on student discipline can be found in the Student Handbook page 32 or on the web at:

Class participation:

All students are expected to actively participate in this class. This can include asking relevant questions in class, participating in class discussions and other in-class activities, helping other students, coming to office hours with questions, and doing other things that contribute to the class.

Keeping up:

Please, try to keep up with the homework and with the lecture in class. There just isn't much time to catch up. This means you have to be sure to allow yourself plenty of time to do the homework and to study.

Ask questions:

Please, please, please, if you don't understand something, or you aren't clear about something, or if you think I (or the book) have made a mistake (it has been known to happen), or if you have any other questions, please ask. Don't let confusion accumulate. If you don't want to ask in class, come to our office hours (or call) and ask. It is much easier to ask a question now than to miss it on the test.  I expect all students to participate in class discussions and other activities. Trust me, you will get much more out of the class if you become actively involved in it.

Always show your work:

It is much more important that you understand the processes involved in solving problems than that you just give me the right answer. If I see from your work that you understand what you are doing, I will usually give partial credit for a problem, even if you made a mistake somewhere along the line. If you don't show your work (unless I believe you could reasonably do it in your head), I may not give you full credit, even if the answer is right. If you can really do something in your head, that's great, but when in doubt, write it down.  It is also very important that you write what you mean. I will correct your notation the first few times, but I will start counting it wrong if you continue to write things incorrectly. In addition, please write clearly and legibly. If I can't read it, I won't grade it.

Time required and outside help:

To do homework and study requires two or three times as much time outside of class as the time you spend in class in order to succeed in this course. If you need more out-of-class help than you can obtain in your instructor's office hours, free tutoring is available in any of ACC's Learning Labs.

Course-Specific Support Services  Sometimes sections of MATH 0163(1-0-2) are offered. The lab is designed for students currently registered in Business Calculus and Applications I, MATH 1425. It offers individualized and group setting to provide additional practice and explanation. This course is not for college-level credit. Repeatable up to two credit hours.

ACC main campuses have Learning Labs which offer free first-come, first-serve tutoring in mathematics courses. The locations, contact information and hours of availability of the Learning Labs are posted at:

Statement on Academic Freedom:

Institutions of higher education are conducted for the common good.  The common good depends upon a search for truth and upon free expression.  In this course the professor and students shall strive to protect free inquiry and the open exchange of facts, ideas, and opinions.  Students are free to take exception to views offered in this course and to reserve judgment about debatable issues. Grades will not be affected by personal views.  With this freedom comes the responsibility of civility and a respect for a diversity of ideas and opinions.  This means that students must take turns speaking, listen to others speak without interruption, and refrain from name-calling or other personal attacks.

Scholastic Dishonesty:

Acts prohibited by the college for which discipline may be administered include scholastic dishonesty, including but not limited to, cheating on an exam or quiz, plagiarizing, and unauthorized collaboration with another in preparing outside work.  Academic work submitted by students shall be the result of their thought, work, research or self-expression.  Academic work is defined as, but not limited to, tests, quizzes, whether taken electronically or on paper; projects, either individual or group; classroom presentations; and homework.

Students who violate the rules concerning scholastic dishonesty will be assessed an academic penalty which the instructor determines is in keeping with the seriousness of the offense. This academic penalty may range from a grade penalty on the particular assignment to an overall grade penalty in the course, including possibly an F in the course. ACC's policy can be found in the Student Handbook page 33 or on the web at: .  

College Services:

Testing Center Policies :  ACC Testing Center policies can be found at: .  Deadlines for all tests will be announced in class.  Any tests taken after the announced deadline are considered late.

Student Services :  The web address for student services is: . The ACC student handbook can be found at:

Instructional Services :  The web address is: , then click on “Campus Based Student Support Overview”.

Statement on Students with Disabilities:

Each ACC campus offers support services for students with documented physical or psychological disabilities.  Students with disabilities must request reasonable accommodations through the Office of Students with Disabilities on the campus where they expect to take the majority of their classes.  Students are encouraged to do this three weeks before the start of the semester.

Students who are requesting accommodation must provide the instructor with a letter of accommodation from the Office of Students with Disabilities (OSD) at the beginning of the semester.   Accommodations can only be made after the instructor receives the letter of accommodation from OSD



Course Outline and Approximate Calendar:

Please note:  schedule changes may occur during the semester.
Any changes will be announced in class.






Intro 6.1, 1.1


3.1- 3.3, and 6.2 exp and ln problems


1.2-1.3, 6.2 concept of partial der.




1.4-1.6, 6.2 computations of par.der.


3.6, Test


1.7, Test


4.1, 4.2


2.1, 2.2, 2.3 and 6.2 sec. order partials


4.3, 4.4


2.4, 2.5


4.5, 5.1


6.3, 2.6


Test, 5.2


Test, Appendix


Review & Comprehensive Final Exam


Business Calculus I, MATH 1425, Learning Outcomes  

  • Evaluate limits of functions from their graphs and/or equations.

  • Analyze and apply the notions of continuity and differentiability to algebraic functions.

  • Determine derivatives for functions involving powers, exponentials, logarithms and combinations of these functions and solve business and economic applications using these derivatives.

  • Use derivatives to construct graphs of selected functions.

  • Use basic integration techniques to solve simple differential equations.

  • Demonstrate the connection between area and the definite integral.

  • Integrate selected functions and solve business and economic applications using these results.

  • Apply the Fundamental Theorem of Calculus to evaluate definite integrals.

  • Apply the concepts of limits, derivatives and integrals to solve problems involving functions unique to business applications and interpret these concepts graphically.


Additional information about ACC's mathematics curriculum and faculty is available on the Internet at


MATH 1425 Default homework Assignments


1.1    1,3, 5,9, 11,13, 15, 19, 21, 25, 29, 31, 39, 41, 43,49, 53, 71, 75

6.1 *            1, 5, 13, 17, 39, 41, 43, 45

1.2               3, 5, 7, 9, 11, 13, 15, 17, 19, 23, 29, 33, 49, 53, 71, 73, 77

1.3    1, 3, 7, 15, 19, 23, 25, 27, 31, 33, 35, 37, 41, 47, 49, 59, 61, 63

1.4    3, 7, 11, 15, 19, 21, 23, 27, 31, 33, 35, 39, 43, 45, 49, 51, 55, 71, 75, 81, 83

1.5    3, 7, 11, 13, 15, 21, 25, 29, 31, 33, 35, 37, 39, 41, 47, 51, 53, 57, 65, 67

1.6    3, 11, 15, 19, 21, 27, 31, 35, 39, 43, 47, 49, 51, 55, 68, 71, 75, 77, 79

6.2 *            5, 9, 11, 13, 33, 35, 41, 51, 63, 65, 67, 69, 71

1.7    1, 3, 9, 11, 13, 15, 17


2.1    1, 3, 5, 7, 13, 15, 17, 21, 25, 29, 31, 47, 51, 55, 57, 61, 65, 69, 73, 87, 89, 91

2.2    1, 7, 11, 13, 17, 19, 31, 35, 39, 43, 55, 61, 63, 65, 67

6.2 *            7, 15, 17, 45, 47,

2.3    1, 5, 9, 13, 27, 33, 39, 47, 63, 69, 71, 73

2.4    3, 9, 15, 21, 27, 31, 37, 41, 43, 47, 49, 53

2.5               5, 7, 11, 13, 17, 19, 21, 25, 29, 31

6.3 *            3, 7, 9, 11, 13, 19, 21, 29, 31, 35

2.6    3, 7, 11, 17, 19, 23, 27, 37, 39


3.1    3, 7, 9, 17, 19, 21, 23, 25

3.2    3, 7, 11, 17, 21, 25, 29, 31, 33, 39, 41, 45, 49, 57, 59, 63

3.3    3, 9, 13, 17, 21, 27, 29, 33, 37, 43, 45, 51, 55, 61, 69, 71

6.2 *            19, 23, 25, 29, 37, 39, 49, 59

3.4    5, 11, 17, 21, 23, 25, 27, 47, 49, 51

3.5    3, 7, 13, 15, 17, 19, 21, 23, 29, 33, 39, 43, 45

3.6    5, 9, 13, 17, 21, 25, 27, 29


4.1    3, 5, 11, 19, 21, 27, 29, 35, 39, 45, 49, 53, 57, 61, 67, 71, 73, 77, 81, 85, 87, 99, 101, 103

4.2    3, 7, 9, 15, 19, 23, 25, 29, 31, 35, 37, 39, 51, 57, 61, 67, 69, 71, 73

4.3    7, 9, 11, 21, 47, 49, 51, 53

4.4               1, 17, 23, 31, 37

4.5    5, 9, 15, 19, 23, 27, 31, 35, 39, 43, 47, 49, 53, 61, 63, 67, 69, 73, 79


5.1    3, 9, 13, 19, 23, 33, 35, 39, 49, 53, 65, 67, 69

5.2    7, 11, 15, 19, 21, 25, 27, 31, 33, 37, 41


Prerequisites for MATH 1425, Business Calculus I

(download a pdf of the prerequisite review here)

MATH 1425 covers several topics in calculus, limits, derivatives, applications of derivatives, integration and an introduction to multivariable calculus. The material presented in this course requires that you have recently completed a College Algebra course or its equivalent. There is no review at the beginning of the course so you need to be comfortable with the basic concepts of algebra from the beginning.

The following problems provide a quick review of this algebra. The answers are listed at the end. If you find that you can't do at least 12 of them right now, you need to do one of two things before you take Business Calculus I.

Get a College Algebra book and review these topics.

If you are unable (or do not have the time) to learn these topics by reviewing on your own, you need to take one, two, or three algebra courses to refresh your algebra skills. The appropriate review course is either MATH 1314, College Algebra, or MATH 1324, Math for Business and Economics. If your algebra skills are really out-of-date, you may need to take one or more developmental math courses to prepare. Consult the Math Advising Web pages or discuss this with an advisor.

1. Simplify:              2. Simplify:

3. Simplify:                                       4. Factor:

5. Factor:                                  6. Factor:

7. Factor:              8. Simplify:

9. Simplify:                         10. Simplify:

11. Write in exponential form:            

12. Write in exponential form with a negative exponent:

13. Write as a single logarithm:

14. Solve for x:                             15. Solve for x:

16. Solve for x:                     17. Graph:

18. Graph:


1.      2.              3.         
















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It was last updated on January 22, 2016 .