MATH-1325 Business Calculus
Jonathan Bickham
Credit Summer 2024
Section(s)
MATH-1325-001 (80857)
LEC TuTh 5:40pm - 7:40pm DIL DLS DIL
Course Requirements
Grade Components
Major Proctored Assessments (Tests): 85%
Homework: 15%
Grading Scale
A: 90 - 100
B: 80 – 89
C: 70 – 79
D: 60 – 69
F: < 60
What will we do in this class?
Tests: Test will be given in class and on paper. We will begin class with a short review by answering questions you may have from previous homework assignments. You will be given approximately 1.5 hours to complete the test.
Homework: Homework is assigned each day after we complete the notes for a section. It will be due the next day we have class. It will be graded on a 10 point scale. 5 points will come from accuracy and 5 points will come from doing all problems and showing your work.
Group work: When classes build community, the success rate increases. As such this class will employ various group activities and it is expected that you will fully parti
What happens if I miss something?
Dropped Grade Policy: I will drop the lowest 4 homework grades
Late Work Policy: Late work is NOT ACCEPTED. If you can’t be here to turn it in then scan it with your phone as a pdf and email it to me.
Missed Exam Policy: If you miss an exam for a legitimate reason (as determined by the professor) then that exam grade will be replaced by the final exam grade.
Attendance/Class Participation: Regular and punctual class attendance is expected of all students. If attendance or compliance with other course policies is unsatisfactory, the instructor may withdraw students from the class. For attendance, unsatisfactory compliance is usually 4 or more absences,
Readings
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 Subjects
Week |
Section(s) |
1 |
Introduction: Handouts, Policies, Expectations 2.1 – Intro to Limits |
2.2 – Infinite Limits and Limits at Infinity 2.3 – Continuity |
|
2 |
2.4 – The Derivative 2.5 – Basic Differentiation Properties |
2.7 – Marginal Analysis in Business and Economics |
|
3 |
TEST 1, Chapter 2 |
1.5 – Exponential Functions 1.6 – Logarithmic Functions |
|
4 |
3.2 – Derivatives of Exponential and Logarithmic Functions |
3.3 – Derivatives of Products and Quotients 3.4 – The Chain Rule |
|
5 |
3.5 – Implicit Differentiation 3.6 - Related Rates |
3.7 – Elasticity of Demand |
|
6 |
TEST 2, Chapter 3 |
July 4th |
|
7 |
4.1 – First Derivative and Graphs 4.2 – Second Derivative and Graphs |
4.5 – Absolute Extrema 4.6 – Optimization |
|
8 |
TEST 3, Chapter 4 |
5.1 – Antiderivatives and Indefinite Integrals 5.2 – Integration by Substitution |
|
9 |
5.4 – The Definite Integral 5.5 – Fundamental Theorem of Calculus |
6.1 – Area Between Curves |
|
10 |
6.2 - Applications in Business and Economics |
TEST 4, Chapter 5, 6.1, 6.2 |
Student Learning Outcomes/Learning Objectives
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.
Office Hours
T Th 11:30 AM - 1:00 PM 1204.30
NOTEM T W Th 9:00 AM - 10:00 AM 1204.30
NOTEF 9:00 AM - 12:00 PM 1204.30
NOTEPublished: 06/04/2024 08:59:22