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Mathematics & Statistics

# MAC 2233 — Business Calculus — Syllabus

Prerequisites: C (2.0) or better in MAC 1105, or C (2.0) or better in MAC 1140, or C (2.0) or better in MAC 1147, or SAT Math score of 610 or better, or ACT Math score of 26 or better, or College-Level Math CPT score of 78 or better.

Course Description: The course has two different formats: daytime sections have two 75-minute auditorium lectures per week and one 50-minute help session; evening sections have two 75-minute lectures per week. Successful completion of the course merits 3 semester hours of credit. The schedule outlined below allows time for four midterm exams plus a cumulative final exam, which are the norms for this course.

Foundations of Knowledge & Learning: This course is part of the University of South Floridaâ€™s Foundations of Knowledge and Learning (FKL) Core Curriculum. It is certified for Mathematics and Quantitative Reasoning and will meet the following four dimensions: Critical Thinking, Inquiry-based Learning, Scientific Processes, and Quantitative Literacy. Students enrolled in this course will be expected to participate in the USF General Education assessment effort. This might involve answering questions that measure quantitative reasoning skills (but are not directly related to the course), responding to surveys, or participating in other measurements designed to assess the FKL Core Curriculum learning outcomes.

Text: Calculus with Applications, Brief Version, 11th Edition, by Lial, Greenwell & Ritchie

Course Content

Chapter R. Algebra Reference

R-1 Polynomials
R-2 Factoring
R-3 Rational Expressions
R-4 Equations
R-5 Inequalities
R-6 Exponents

Chapter 1. Linear Functions (? weeks)

1-1 Slopes and Equations of Lines
1-2 Linear Functions and Applications
1-3 The Least Squares Line

Chapter 2. Nonlinear Functions (? weeks)

2-1 Properties of Functions
2-2 Quadratic Functions: Translation and Reflection
2-3 Polynomial and Rational Functions
2-4 Exponential Functions
2-5 Logarithmic Functions
2-6 Applications: Growth and Decay; Mathematis of Finance

Chapter 3. The Derivative (? weeks)

3-1 Limits
3-2 Continuity
3-3 Rates of Change
3-4 Definition of the Derivative
3-5 Graphical Differentiation

Chapter 4. Calculating the Derivative (? weeks)

4-1 Techniques for Finding Derivatives
4-2 Derivatives of Products and Quotients
4-3 The Chain Rule
4-4 Derivatives of Exponential Functions
4-5 Derivatives of Logarithmic Functions

Chapter 5. Graphs and the Derivative (? weeks)

5-1 Increasing and Decreasing Functions
5-2 Relative Extrema
5-3 Higher Derivatives, Concavity, and the Second Derivative Test
5-4 Curve Sketching

Chapter 6. Applications of the Derivative (? week)

6-1 Absolute Extrema
6-2 Applications of Extrema
6-3 Further Business Applications: Economic Lot Size; Economic Order Quantity; Elasticity of Demand
6-4 Implicit Differentiation
6-5 Related Rates
6-6 Differentials: Linear Approximation

Chapter 7. Integration (?)

7-1 Antiderivatives
7-2 Substitution
7-3 Area and the Definite Integral
7-4 The Fundamental Theorem of Calculus
7-5 The Area Between Two Curves
7-6 Numerical Integration

Chapter 8. Further Techniques and Applications of Integration

8-1 Integration by Parts
8-2 Volume and Average Value
8-3 Continuous Money Flow
8-4 Improper Integrals

Chapter 9. Multivariable Calculus

9-1 Functions of Several Variables
9-2 Partial Derivatives
9-3 Maxima and Minima
9-4 Lagrange Multipliers
9-5 Total Differentials and Approximations
9-6 Double Integrals

Miscellaneous University/College Policies:

• You are encouraged to take notes and may tape the lectures, but neither your notes nor your tapes are to be sold.
• All unauthorized recordings of class are prohibited. Recordings that accommodate individual student needs must be approved in advance and may be used for personal use during this semester only; redistribution is prohibited.
• Students in need of academic accommodations for a disability may consult with the Office of Students with Disabilities Services (SDS) in SVC 1133 to arrange appropriate accommodations. Students are required to give reasonable notice (typically 5 working days) prior to requesting an accommodation.
• Students who anticipate the necessity of being absent due to the observation of a major religious holiday must provide notice of the date in writing to the instructor by the second class meeting.
• Contingency Course Plan: In the event of an emergency, it may be necessary for USF to suspend normal operations. During this time, USF may opt to continue delivery of instruction through methods that include but are not limited to: Canvas, Elluminate, Skype, and e-mail messaging and/or alternate scheduling. It is the responsibility of the student to monitor the main USF website, e-mails and MoBull messages for important information about the closure. For information about the continuation of instruction, students are directed to their individual Canvas course sites.
• S-U Policy: Students who want to take this course for a grade of S-U (Satisfactory-Unsatisfactory) must sign the S-U Contract no later than the end of the third week of classes. There will be no exceptions. For further information on S-U grades, please consult the undergraduate catalog. Note: Gordon Rule Math courses cannot be taken for an S-U grade.
• “I” Grade Policy: A grade of “I” indicates incomplete work and will only be assigned when most of the coursework has already been completed with a passing grade. For further information on “I” grades, please consult the undergraduate catalog.