# MATH 165: Calculus for Business

### COURSE DESCRIPTION

Math 165 is a calculus course intended for those studying business, economics, or other related business majors. The following topics are presented with applications in the business world: functions, graphs, limits, exponential and logarithmic functions, differentiation, integration, techniques and applications of integration, partial derivatives, optimization, and the calculus of several variables. Each textbook section has an accompanying homework set to help the student better understand the material.

### TEXTBOOK

Calculus and its Applications, 11th Edition, by Bittinger, Ellenbogen, and Surgent.

MyMathLab access is REQUIRED for this course and the student has the option to purchase the text with MyMathLab or just MyMathLab

### CALCULATOR

A graphing calculator such as the TI-83 and TI-84 (including Plus models) is recommended, while a Scientific Calculator is required, such as a TI-30. More powerful calculators such as TI-89 or TI-nSpire, cell phones or any telecommunication devices are not allowed during exams or quizzes. Sharing calculators is also not allowed.

### PREREQUISITES

MATH 110 or a grade of C or better in MATH 121 or appropriate performance on the UIC mathematics placement test or a MATH ACT subscore of 27.

The course grade will be determined by Midterms, Quizzes, Homework Assignments, and the Final Exam shown in the table below. The grading scale of 90%(540 pts) for an A, 80%(480 pts) for a B, 70%(420 pts) for a C, and 60%(360 pts) for a D are guaranteed levels for each letter grade.

 Two Midterm Exams 100 points each Quizzes(best 6 of 8) 120 points total Homework 80 points total Final Exam 200 points Total 600 points

### QUIZZES

Quizzes (20 points each) will be given throughout the semester and the best six quiz scores will be kept. Since two quizzes are being dropped, there are no make-ups on quizzes.

Quizzes will be given in Discussion classes on Tuesdays or Thursdays.

The tentative Quiz schedule is:

 Quiz #1 TBA Quiz #2 TBA Quiz #3 TBA Quiz #4 TBA Quiz #5 TBA Quiz #6 TBA Quiz #7 TBA Quiz #8 TBA

### WEEKLY SCHEDULE

WEEK SECTIONS BRIEF DESCRIPTION
1 R.1 - R.5 Functions, The Graph of a Function, Linear Functions, Non-Linear Functions
2 1.1 - 1.4 Limits, One-Sided Limits, Continuity, Average Rates of Change, the Derivative
3 1.5 - 1.7 Techniques of Differentiation, Product and Quotient Rules, the Chain Rule
4 1.8, 2.1 - 2.3 Higher-Order Derivatives, Increasing/Decreasing, Maximums/Minimums, Concavity, Points of Inflection
5 2.3 - 2.5 Curve Sketching, Absolute Max/Min, Optimization and Applications
6 2.6 - 2.8 Marginal Analysis, Elasticity of Demand, Implicit Differentiation, Related Rates
7 3.1 Exponential Functions and their Derivatives, Review, Exam #1
8 3.2, 3.3, 3.5 Logarithmic Functions, Growth Models, Bases other than e
9 4.1 - 4.3 Anti-differentiation, Areas, Definite Integrals
10 4.3 - 4.5 The Fundamental Theorem of Calculus, Properties of Definite Integrals, Integration by Substitution
11 4.5, 5.1 - 5.2 Consumer and Producer Surplus, Applications of Growth Models
12 5.2 Applications of Growth Models, Review, Exam #2
13 6.1 - 6.3 Functions of Several Variables, Partial Derivatives, Extreme Points/Saddle Points
14 6.3, 6.5 Constrained Optimization: The Method of Lagrange Multipliers
15 6.5 Lagrange Multipliers, Review
16   Final Exam

### STUDENTS WITH DISABILITIES

Students with disabilities who require special accommodations for access and participation in this course must be registered with the Office of Disability Services (ODS). Students who need exam accommodations must contact ODS in the first week of the term to arrange a meeting with a Disability Specialist. Please contact ODS at 312/413-2183 (voice) or 312/413-0123 (TTY).