MATH-1325 Business Calculus

Credit Spring 2024

Section(s)

Course Requirements

Welcome to MATH 1325 – Business Calculus

Spring 2024 Syllabus

THE BASICS

About Your Instructor

Name: Mike McCarthy, Ph.D.

The best way to reach me is: e-mail

Phone number: 512 223-7433

Email: mmccarth@austincc.edu

Office location (and/or link if appropriate): HLC 1.1423.05

Office hours: MW 7:30 – 8:30 am, 10:25 – 11:25; TTh 10:55 – 11:55, 4:25 – 5:25

To schedule a conference outside of office hours: e-mail

About Your Course

Classroom Section: This course is taught in the classroom primarily as a lecture/discussion course.

Synonym: 76657 Section: 014

Meeting location: HLC 2101 Meeting times: TTh 12:00 – 1:20

Prerequisites: MATH 1314, MATH 1324, or MATH 1414; with a grade of C or higher or equivalent. OR satisfactory score on the ACC Higher Level Mathematics Placement Test.

Required Materials

This is a First Day™ class. The cost of required course materials, including an online version of the textbook and software access, has been added to your tuition and fees bill.

Textbook: Calculus for Business, Economics, Life Sciences, and Social Sciences, 14th Edition by Barnett, Ziegler, Byleen & Stocker. Pearson Publishing (MyLab software) ISBN: 9780134862606

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.

Other Technology: Access to a webcam and microphone are required for this course. Eligible students can check out required technology at https://www.austincc.edu/students/student-technology-services.

COURSE CALENDAR

Note: Schedule changes may occur during the semester. Any changes will be announced in class and posted as a Blackboard Announcement.

Week	Sections	Material
1	2.1	Intro to Limits
2	2.2, 2.3	Infinite Limits and Limits at Infinity Continuity
3	2.4, 2.5	The Derivative Basic Differentiation Properties
4	2.7, Test 1	Marginal Analysis in Business and Economics Chapter 2 Test
5	1.5, 1.6, 3.2	Exponential Functions Logarithmic Functions Derivatives of Exponential and Logarithmic Functions
6	3.3, 3.4	Derivatives of Products and Quotients The Chain Rule
7	3.5, 3.6	Implicit Differentiation Related Rates
8	3.7	Elasticity of Demand
9	Test 2, 4.1	Chapter 3 Test First Derivative and Graphs
10	4.2, 4.5	Second Derivative and Graphs Absolute Extrema
11	4.6	Optimization
12	Test 3, 5.1	Chapter 4 Test Antiderivatives and Indefinite Integrals
13	5.2, 5.4	Integration by Substitution The Definite Integral
14	5.5, 6.1	Fundamental Theorem of Calculus Area Between Curves
15	6.2	Applications in Business and Economics
16	Test 4	Part 1 – Chapter 5 Test, Part 2 – Chapter 6 Test

Important Dates

Last day for 70% refund: 1/25/24

Last day to withdraw: 4/22/24

Holidays: 1/15/23, 3/11/24 – 3/17/24

(Please note these are the ONLY holidays this semester.)

Making Time to Learn

We learn math by thinking about and working on mathematical problems, which takes time. Practice is crucial in a math course. To ensure that you have adequate time, set aside 8-12 hours per week outside of class time to practice and study for this course. Ask for help immediately when something isn’t clear.

GETTING HELP

ACC provides several free resources for students who need help; descriptions and links are below:

Office hours: Another name for office hours is “student hours.” This is the time your instructor has set aside to answer student questions, so feel free to drop by if you have questions. Office hours may be virtual or on campus; see information above.

Instructional Associates: Instructional Associates specific to the course you are taking are available for tutoring. To make an appointment, go to https://sites.google.com/a/austincc.edu/math-students/meet/list and then click on your course.

Learning Labs: The ACC Learning Labs provide tutoring in math and other subjects. To schedule an appointment, go to https://www.austincc.edu/students/learning-lab. This site includes information about in person and virtual tutoring options.

Academic Coaching: Academic coaches offer extra support to students with study strategies; they want to help you learn to be an active participant in your own learning process. For more information or to make an appointment with an academic coach, go to https://www.austincc.edu/students/academic-coaching.

ACC Student Services: Services are offered in many areas, including Academic, Financial, Personal, and Technology Support. For more information, go to https://www.austincc.edu/student-support.

GRADES

Final numerical grades in the course will be calculated using the weighted average of four tests (each worth 20% of the final grade), written homework (10% of the final grade), and daily classroom participation (10% of the final grade).

Tests: There will be fours exams. The exams will be proctored and given during scheduled class times whether we are at the HLC Campus or working from home. You must have a working computer camera and speakers so that I may proctor you at home if that is the case. Your computer speaker must be turned on while you take the test. I must be able to watch and speak to you while you take the test in real time to award a grade.

Homework: Homework will be collected at the beginning of class. Do each homework item on a separate sheet of paper and hand in only the homework items asked for.

Participation: Daily participation in classroom group work is an important component of learning the ideas and techniques of Precalculus. For full credit the student must attend and be an active participant the group activities. This portion cannot not be made up if missed.

Grade Components

Tests: 80%

Homework: 10%

Participation: 10%

Grading Scale

A: 90 - 100

B: 80 – 89

C: 70 – 79

D: 60 – 69

F: < 60

What will we do in this class?

Tests: Given in class.

Homework: Called for at each class meeting.

Participation: Participation required at each class meeting

What happens if I miss something?

Dropped Grade Policy: I will drop the three lowest written homework grades.

Late Work Policy: Late homework is not accepted

Missed Exam Policy: Makeup exams will be given at the discretion of the Professor. Contact me if you are in need of a makeup exam.

Attendance/Class Participation Policy: Excessive absences and tardiness may lead to the student’s withdrawal from the course. No more than three absences are allowed. Watching prerecorded Zoom meetings does not count as attendance.

COURSE CONTENT

Course Description

Credit Hours: 3, Contact Hours: 3

MATH 1325 – Business Calculus (3-3-0). Course treating standard one-variable calculus and its applications for business students, as well as selected other business applications. 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. This course is not a substitute for MATH 2413, Calculus I.

Course Rationale

This course is the basic study of limits and continuity, differentiation, optimization and graphing, and integration of elementary functions, with emphasis on applications in business, economics, and social sciences. This course is not a substitute for MATH 2413, Calculus I.

Course Objectives

Evaluate limits of functions from their graphs and/or formulas.
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 the results.

Student Learning Outcomes

Upon successful completion of the course, a student should be able to:

Apply the concepts of limits, derivatives and integrals to solve problems involving functions unique to business, economics, and social sciences applications and interpret the result.
Apply appropriate differentiation techniques to obtain derivatives of various functions, including logarithmic and exponential functions.
Solve application problems involving implicit differentiation and related rates.
Solve optimization problems with emphasis on business and social sciences applications.
Determine appropriate technique(s) of integration.
Integrate functions using basic techniques or the method of substitution, as appropriate.

General Education Competencies

Critical Thinking – gathering, analyzing, synthesizing, evaluating and applying information is covered in every SLO.
Quantitative and Empirical Reasoning – applying mathematical, logical, and scientific principles and methods is covered in every SLO.
Written, Oral and Visual Communication – communicating effectively adapting to purpose, structure, audience and medium is covered in SLOs # 1, 3, 4, 6, 7, and 9.

THE DETAILS

First Day Access: To enhance your learning experience and provide affordable access to the right course material, this course is part of an inclusive access model called First Day™. You can easily access the required materials for this course through Blackboard, at a discounted price, and benefit from single sign-on access. Austin Community College includes the discounted price as a course fee in your registration fees for this course.

It is NOT recommended that you Opt Out, as these materials are required to complete the course. You can choose to Opt Out on the first day of class, but you will be responsible for purchasing your course materials at the full retail price and access to your materials may be suspended. See your course in Blackboard for details.

Withdrawal Policy: It is the responsibility of each student to ensure that his or her name is removed from the roll should he or she decide to withdraw from the class. The instructor does, however, reserve the right to drop a student should he or she feel it is necessary. If a student decides to withdraw, he or she should also verify that the withdrawal is submitted before the Final Withdrawal Date. The student is also strongly encouraged to retain their copy of the withdrawal form for their records.

Students who enroll for the third or subsequent time in a course taken since Fall 2002 may be charged a higher tuition rate for that course. State law permits students to withdraw from no more than six courses during their entire undergraduate career at Texas public colleges or universities. With certain exceptions, all course withdrawals automatically count towards this limit. Details regarding this policy can be found in the ACC college catalog.

Reinstatement Policy: Students who withdrew or were withdrawn will not be reinstated unless they have completed all coursework, projects, and exams necessary to place them at the same level of course completion as the rest of the class. Reinstatement is up to the instructor’s approval.

Incomplete Grade Policy: Incomplete grades (I) will be given only in very rare circumstances. Generally, to receive a grade of "I", a student must be up to date on coursework and have a passing grade, and after the last date to withdraw, have a legitimate reason that prevents course completion. An incomplete grade cannot be carried beyond the established date in the following semester. The completion date is determined by the instructor but may not be later than the final deadline for withdrawal in the subsequent semester.

Communication with Your Instructor: All e-mail communication to students will be sent solely to the student’s ACCmail account or math software if applicable, with the expectation that such communications will be read in a timely fashion. Likewise, students should use their ACCmail account or math software when communicating with instructors. Instructors will respond to student emails within 3 business days, if no response has been received by the student at the end of that time, then the student should send a reminder to the instructor.

Name Change Information: If you want to change how your name appears online at ACC, go to https://www.austincc.edu/admissions/update-student-information/chosen-name.

General College Policies: Policies that apply to all courses at ACC can be found here: https://www.austincc.edu/offices/academic-outcomes-assessment/master-syllabi/college-policies.

Suggested Homework (From Calculus for Business, Economics, Life Sciences, and Social Sciences, 14th ed. by Barnett, Ziegler, & Byleen)

* Indicates an optional section

Section	Problems
2.1	9, 13, 15, 21 - 37 odd, 47 - 55 odd, 59 - 65 odd
2.2	9 - 15 odd, 17 - 23 odd, 25 - 31 odd, 33, 35, 37, 51, 53, 55, 87
2.3	9, 11, 13, 19, 21, 27, 29, 31 - 39 odd, 47, 49, 53, 55, 69, 71
2.4	9, 11, 19 - 25 odd, 45, 49 - 55 odd, You may wish to assign the following questions after Section 2.5 to allow students to use the power rule: 57, 81, 83, 85, 89
2.5	9 - 25 odd, 33 - 55 odd, 57, 59, 61, 63, 89, 91
2.6*	(optional) 9 - 19 odd, 23, 25, 27, 45, 47, 48
2.7	33 - 45 odd, 49, Matched Problem #3 on p. 167
1.5	39, 41, 51, 53, 55, 59
1.6	1, 7, 29, 59, 63, 67, 69, 83, 85, 87
3.2	13, 15, 17, 19, 21, 27, 29, 31, 33, 47, 49, 51, 57, 67, 68, 75
3.3	9, 15, 17, 19, 21, 25, 29, 31, 33, 49, 51, 55, 59, 61, 69, 71, 75, 77, 83, 91, 93, 95
3.4	11, 13, 15, 21, 25, 27, 29, 31, 33, 35, 43, 45, 47, 51, 55, 57, 65, 69, 79, 81, 91, 93
3.5	9, 17, 19, 23, 25, 27, 29, 31, 33, 35, 39, 41, 47, 49, 51, 55, 57
3.6	9, 11, 13, 33, 35, 37, 39, 41, 45
3.7	17, 21, 25, 29, 33, 35, 37, 39,47, 51, 53, 57, 59, 61, 67, 79, 83, 85, 87, 89
4.1	9-16, 17, 19, 23, 25, 27, 29, 33, 37, 39, 45, 61, 75, 79, 85, 91, 95
4.2	9, 11, 13-16, 25, 31, 33, 37, 39, 41, 47, 75, 83, 89, 91, 93
4.4*	(Optional) 9, 11, 13, 15, 19
4.5	9, 15, 17, 19, 21, 23,, 27, 31, 35, 43, 51, 61, 67, 71
4.6	19, 21, 25, 33, 37, 39
5.1	5.1 #9-23 odd, 43-53 odd, 55, 57 61, 65, 81, 85
5.2	5.2 #21-37 odd, 47, 61, 63, 65, 67
5.3*	(Optional) #9-19 odd, 77, 79, 81
5.4	#23, 31-42 all, 43-53 odd
5.5	#13-27 odd, 33-43 odd, 69, 71
6.1	#15, 19, 25, 43, 47, 49, 51, 53
6.2	#37, 41, 45, 47, 49, 53, 69, 73, 77, 78

Readings

Ziegler, Byleen & Stocker. Pearson Publishing (MyLab software) ISBN: 9780134862606

Course Subjects

Week	Sections	Material
1	2.1	Intro to Limits
2	2.2, 2.3	Infinite Limits and Limits at Infinity Continuity
3	2.4, 2.5	The Derivative Basic Differentiation Properties
4	2.7, Test 1	Marginal Analysis in Business and Economics Chapter 2 Test
5	1.5, 1.6, 3.2	Exponential Functions Logarithmic Functions Derivatives of Exponential and Logarithmic Functions
6	3.3, 3.4	Derivatives of Products and Quotients The Chain Rule
7	3.5, 3.6	Implicit Differentiation Related Rates
8	3.7	Elasticity of Demand
9	Test 2, 4.1	Chapter 3 Test First Derivative and Graphs
10	4.2, 4.5	Second Derivative and Graphs Absolute Extrema
11	4.6	Optimization
12	Test 3, 5.1	Chapter 4 Test Antiderivatives and Indefinite Integrals
13	5.2, 5.4	Integration by Substitution The Definite Integral
14	5.5, 6.1	Fundamental Theorem of Calculus Area Between Curves
15	6.2	Applications in Business and Economics
16	Test 4	Part 1 – Chapter 5 Test, Part 2 – Chapter 6 Test

Student Learning Outcomes/Learning Objectives

Student Learning Outcomes

Upon successful completion of the course, a student should be able to:

Apply the concepts of limits, derivatives and integrals to solve problems involving functions unique to business, economics, and social sciences applications and interpret the result.
Apply appropriate differentiation techniques to obtain derivatives of various functions, including logarithmic and exponential functions.
Solve application problems involving implicit differentiation and related rates.
Solve optimization problems with emphasis on business and social sciences applications.
Determine appropriate technique(s) of integration.
Integrate functions using basic techniques or the method of substitution, as appropriate.