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MATH 140 : Calculus I

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.

Pre-Requisites: 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
Castaño-Bernard, 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


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