Credits: 4
Course Description: This course is an introduction to differential and integral calculus. It begins with a short review of basic concepts surrounding the notion of a function. Then it introduces the important concept of the limit of a function, and uses it to study continuity and the tangent problem. The solution to the tangent problem leads to the study of derivatives and their applications. Then it considers the area problem and its solution, the definite integral. The course concludes with the calculus of elementary transcendental functions.
PreRequisites: Math Placement Test or completion of MATH 130 within the past semester with a grade of B or higher.
Comments: A student who has received credit for either MATH 134 or MATH 135 may not take MATH 140 for credit without the explicit permission of the department and then only for two credits.
Sample Materials
Topics:
 Chapter 1: Functions and Models.
 1.1 Four Ways to Represent a Function.
1.2 Mathematical Models: A Catalog of Essential Functions.
1.3 New Functions from Old Functions.
 Chapter 2: Limits.

2.1 The Tangent and Velocity Problems.
2.2 The Limit of a Function.
2.3 Calculating Limits Using the Limit Laws.
2.5 Continuity.
 Chapter 3: Derivatives.

3.1 Derivatives and Rates of Change.
3.2 The Derivative as a Function.
3.3 Differentiation Formulas.
3.4 Derivatives of Trigonometric Functions.
3.5 The Chain Rule.
3.6 Implicit Differentiation.
3.7 Rates of Change in the Natural and Social Sciences.
3.8 Related Rates.
3.9 Linear Approximations and Differentials.
 Chapter 4: Applications of Differentiation.

4.1 Maximum and Minimum Values.
4.2 The Mean Value Theorem.
4.3 How Derivatives Affect the Shape of a Graph.
4.4 Limits at Infinity; Horizontal Asymptotes.
4.5 Summary of Curve Sketching.
4.7 Optimization Problems.
4.8 Newton's Method.
4.9 Antiderivatives.
 Chapter 5: Integrals.

5.1 Areas and Distances.
5.2 The Definite Integral.
5.3 The Fundamental Theorem of Calculus.
5.4 Indefinite Integrals and the Net Change Theorem.
5.5 The Substitution Rule.
 Chapter 6: Applications of Integration.

6.1 Areas between Curves.
6.2 Volumes.
 Chapter 7: Inverse Functions.

7.1 Inverse Functions.
7.2 Exponential Functions and Their Derivatives.
7.3 Logarithmic Functions.
7.4 Derivatives of Logarithmic Functions.

Fall 2017 Schedule:
Section 
Meetings 
Instructor 
Comments 
001 
MWF 
10:00am 
 
10:50am 
W 
09:00am 
 
09:50am 

Cunningham, Gabriel 

002 
MWF 
11:00am 
 
11:50am 
M 
10:00am 
 
10:50am 

CastañoBernard, Ricardo 

003 
MWF 
12:00pm 
 
12:50pm 
M 
01:00pm 
 
01:50pm 

Cai, Shuang 

004 
MWF 
01:00pm 
 
01:50pm 
F 
12:00pm 
 
12:50pm 

Kaploun, Anatoli 

005 
MWF 
02:00pm 
 
02:50pm 
F 
01:00pm 
 
01:50pm 

Cai, Shuang 

006 
MWF 
03:00pm 
 
03:50pm 
W 
04:00pm 
 
04:50pm 

Cai, Shuang 

007 
MW 
05:30pm 
 
06:45pm 
W 
07:00pm 
 
07:50pm 

Eroshkin, Oleg 

008 
TuTh 
09:30am 
 
10:45am 
Tu 
11:00am 
 
11:50am 

Mukherjee, Some 

009 
TuTh 
11:00am 
 
12:15pm 
Th 
10:00am 
 
10:50am 

Zara, Catalin 

010 
TuTh 
12:30pm 
 
01:45pm 
Tu 
11:30am 
 
12:30pm 

Vuletic, Mirjana 

011 
TuTh 
02:00pm 
 
03:15pm 
Th 
04:00pm 
 
04:50pm 

Vuletic, Mirjana 

012 
TuTh 
05:30pm 
 
06:45pm 
Tu 
04:00pm 
 
04:50pm 

Eroshkin, Oleg 

013 
MWF 
10:00am 
 
10:50am 
M 
09:00am 
 
09:50am 

Schay, Geza 

014 
MW 
05:30pm 
 
06:45pm 
M 
07:00pm 
 
07:50pm 

Cai, Shuang 

