MTH 131 T5A: Mathematical Analysis for Management. Fall 2017.

Week Tuesday Thursday
1

August 29th

1.1: Functions

1.2: Elementary Functions: Graphs and Transformations

August 31st

1.3: Linear and Quadratic Functions

1.4: Polynomial and Rational Functions

2

September 5th

1.5: Exponential Functions

September 7th

1.6: Logarithmic Functions

3

September 12th

2.1: Introduction to Limits

September 14th

2.2: Infinite Limits and Limits at Infinity

2.3: Continuity

4

September 19th

2.4: The Derivative

2.5: Basic Differentiation Properties

September 21st

2.6: Differentials

2.7: Marginal Analysis in Business and Economics

5

September 26th

Review Chapters 1 - 2

Practice Midterm 1

September 28th

Midterm 1

Midterm 1 Answers

6

October 3rd

3.1: The Constant “e” and Continuous Compound Interest

3.2: Derivatives of Exponential and Logarithmic Functions

October 5th

3.3: Derivatives of Products and Quotients

7

October 10th

3.4: The Chain Rule

3.5: Implicit Differentiation

October 12th

3.6: Related Rates

3.7: Elasticity of Demand

8

October 17th

4.1: First Derivative and Graphs

October 19th

4.2: Second Derivative and Graphs

9

October 24th

4.3: L’Hopital’s Rule

4.4: Curve-Sketching Techniques

October 26th

4.5: Absolute Maxima and Minima

4.6: Optimization

10

October 31st

Review Chapters 3 - 4

Practice Midterm 2

November 2nd

Midterm 2

Midterm 2 Answers

11

November 7th

7.1: Functions of Several Variables

7.2: Partial Derivatives

November 9th

7.3: Maxima and Minima

12

November 14th

7.4: Maxima and Minima using Lagrange Multipliers

5.1: Antiderivatives and Indefinite Integrals

November 16th

5.2: Integration by Substitution

13

November 21st

5.4: The Definite Integral

5.5: The Fundamental Theorem of Calculus

November 23rd

Thanksgiving - no classes.

14

November 28th

6.1: Areas between Curves

6.2: Applications in Business and Economics

November 30th

5.3: Differential Equations; Growth and Decay

6.3: Integration by Parts

6.4: Other Integration Methods

15

December 5th

Review Chapters 5 - 7

Practice Midterm 3

December 7th

Midterm 3

Midterm 3 Answers

Download syllabus

Instructor: Adam Cunningham Lecture: Tuesday-Thursday, 5:10 - 6:50 pm
Office: Math Building 106 Location: Clemens Hall 19
Email: adamcunn@buffalo.edu Office hours: Tuesday-Thursday, 3:00 - 4:30 pm

Course Description

For students in Management. Limits, continuity, differentiation of algebraic and exponential functions. Applications, partial derivatives and applications. Introduces integration.

Prerequisities

NYS Regents Course B, or ULC 148, or MTH 115.

Course Materials

Textbook

R. Barnett, M. Ziegler, K. Byleen. Calculus for Business, Economics, Life Sciences, and Social Sciences. Third Custom Edition for University at Buffalo.

UBlearns

The course page on UBlearns will be used for posting grades.

MyMathLab

Follow these instructions to register for MyMathLab.

Website

http://www.acsu.buffalo.edu/~adamcunn/fall2017/MTH131T5A.html

Piazza

We will be using Piazza, an online question and answer tool, to help each other with questions about the class.

Course Requirements

Class participation

Aspects include attending class, and asking and answering questions in class.

Homework

Homework assignments will be submitted every week via MyMathLab. The submission deadline will usually be 9 am on a Wednesday.

Grading Policy

Course grades

Course grades will be determined with the weightings:

Homework assignments 40%
Three midterm exams 20% each

Incompletes

Incompletes will be given only under extraordinary circumstances (such as surgery during the last week of class).

Expectations for this class

Attendance

You are expected to attend every class. If you miss a class you are responsible for getting the lecture notes and any other in-class information or materials from a classmate.

Cell phone policy

Absolutely no non-class-related computer or cell phone use during class. This includes texting, Facebook, emailing. If I see you on your cell phone during lecture I reserve the right to remove a minimum of 1 percentage point from your final course grade for each incident count. This is left up to the discretion of the instructor and is a non-negotiable policy.

Academic honesty

Students are expected to adhere to the university policy on academic honesty. Cheating or misrepresentation of your work will result in formal charges.

How to succeed

Sustained steady effort, starting from day one. Make full use of the resources available to you: the textbook, MyMathLab, Math Help Center, The Math Place, Piazza, and each other. See me in office hours, email me, or make an appointment to see me at some other time. Start homework assignments early - they often take more time than anticipated.

Other

Important dates

Tuesday 5th September: Last day to drop the course - no record appears on transcript.

Friday 10th November: Last day to resign from the course - an “R” appears on the transcript.

Students with disabilities

If you have a diagnosed disability (physical, learning or psychological) which will make it difficult for you to carry out the course work as outlined, or requires accommodations such as recruiting note takers, readers or extended time on examinations, please advise me during the first two weeks of the course so that we may review possible arrangements for reasonable accommodations.

Student Learning Outcomes

Assessment measures

Weekly homework assignments, three midterm exams.

At the end of this course, students will be able to: Assessment
- recognize polynomial, rational, exponential and logarithmic functions, understand their basic properties and know how to evaluate them. Midterm 1, HW 1-2
- compute limits of algebraic functions graphically, numerically, and algebraically. Midterm 1, HW 3
- interpret the derivative graphically and as a rate of change in business applications.
- demonstrate the understanding of the derivative in marginal function analysis by finding marginal cost, marginal revenue, and marginal profit at different rates of production.
Midterm 1, HW 4
- compute the first and higher order derivatives of basic algebra, exponential, and logarithmic functions using derivative rules, including the chain rule and implicit differentiation. Midterm 2, HW 5-6
- use limits and derivatives to construct, analyze, and interpret the graph of a function. Midterm 2, HW 7
- use derivatives to analyze and solve optimization problems, for instance optimizing cost, revenue and profit in business applications. Midterm 2, HW 8
- compute partial derivatives of functions of more than one variable, and interpret these in economic applications.
- solve basic optimization problems for functions of two variables using the second derivative test.
Midterm 3, HW 9
- compute indefinite and definite integrals of functions using anti-derivative rules and the fundamental theorem of calculus.
- compute indefinite integrals using integration techniques including substitution, tables, and integration by parts.
- represent area as a definite integral and interpret the results in business applications.
Midterm 3, HW 10-12

Grading is based on MyMathLab homework and three midterm exams, with the following breakdown:

Homework: 40%
Midterms: 20% each

Course percentages will be converted to letter grades as follows:

Percentage Letter Grade
90 - 100 A
87 - 89 A-
83 - 86 B+
80 - 82 B
77 - 79 B-
73 - 76 C+
70 - 72 C
65 - 69 C-
60 - 64 D+
55 - 59 D
54 or below F
Week Sections Topics Due Date
1 1.1 - 1.4 Linear, quadratic, polynomial and rational functions. Wednesday 6th September
2 1.5 - 1.6 Exponential and logarithmic functions. Wednesday 13th September
3 2.1 - 2.3 Limits and continuity. Wednesday 20th September
4 2.4 - 2.7 Basic differentiation. Differentials. Marginal analysis. Wednesday 27th September
6 3.1 - 3.3 The constant "e". Continuous compounding. The product and quotient rules. Wednesday 11th October
7 3.4 - 3.7 The chain rule. Implicit differentiation and related rates. Elasticity of demand. Wednesday 18th October
8 4.1 - 4.2 First and second derivatives and graphs. Wednesday 25th October
9 4.3 - 4.6 L'Hopital's rule. Curve sketching using derivatives. Absolute maxima and minima. Optimization. Wednesday 1st November
11 7.1 - 7.3 Functions of several variables. Partial derivatives. Maxima and minima. Wednesday 15th November
12 7.4, 5.1 - 5.2 Lagrange multipliers. Antiderivatives and indefinite integrals. Integration by substitution. Wednesday 22nd November
13 5.4 - 5.5 Definite integrals. The fundamental theorem of calculus. Wednesday 29th November
14 5.3, 6.1 - 6.3 Differential equations. Applications of definite integrals. Integration by parts. Wednesday 6th December
Exam Date Topics Review Practice Answer Key
Midterm 1 Thursday September 28th Chapters 1 - 2 Review Sheet 1 Practice Midterm 1 Answer Key 1
Midterm 2 Thursday November 2nd Chapters 3 - 4 Review Sheet 2 Practice Midterm 2 Answer Key 2
Midterm 3 Thursday December 7th Chapters 5 - 7 Review Sheet 3 Practice Midterm 3 Answer Key 3