﻿ Mat 1413-02: Survey of Calculus

Mat 1413-03: Survey of Calculus

Fall 2014

TR 9:30-10:50 TR MP303

TEXT: Calculus & It’s Application, 10th Edition by Bittinger

Professor: Dr. Sheila Rivera

Office BB – 210

Phone 770-839-4141

e-mail: srivera@westga.edu

web page: http://www.westga.edu/~srivera

# Office Hours

 Hour Monday Tuesday Wednesday Thursday Friday 9:00 Office Hours Office Hours 9:30 Math 1413-3 Math 1413-3 11:00 Math 1111-11 Math 1111-11 12:30 Office Hours Office Hours 3:30 Math 1111-14 Math 1111-14 5:00 Office Hours Office Hours

## Description of Course Content

This course provides an overview of calculus with an emphasis toward business applications.  Both differential and integral calculus will be stressed. Students will be taught:

Chapter 1-Differentiation

Limits, limits and asymptotes, problem solving/rates of change, the derivative, derivatives of constants, powers, and sums, derivatives of products and quotients, the chain rule

Chapter 2-Applications of Differentiation

Differential and linear approximations, marginal analysis, measuring rates and errors, implicit differentiation and related rates, first derivatives and graphs, second derivatives and graphs, graphical analysis and curve sketching, optimizing functions on a closed interval, the second derivative test and optimization

Chapter 3-Exponential and Logarithmic Functions

Derivatives of log functions, derivatives of exponential functions

Chapter 4-Integration

The indefinite integral, area and the definite integral, fundamental theorem of calculus, problem solving/integral calculus and total accumulation

### Rating

There will be 4 tests @ 100 points each and a comprehensive Final @ 150 points. The total possible points earnable will be 550.  Grades will be assigned on a point scale format:

#### B = 440-494

C = 385-439

D = 330-384

F = 0-329

###### Attendance Policy

Attendance is mandatory to do your best in the course.  REMEMBER WHAT I SAID IN CLASS

THE DEADLINE TO DROP THIS CLASS WITHOUT PENALITY (YOU RECEIVE A W) IS

## Day     1. Introduction

2.   1.1

3.      1.2

4.      1.3

5.      1.4

6.      Review for Test 1

7.      Test 1—Tuesday, September 16th

8.      1.5

9.      1.6

10.  1.7

11.  1.8

12.  Review for Test #2

13.  Test 2—Tuesday, October 7th

14.  2.1

15.  2.2

16.  2.4

17.  2.5

18.  2.6

19.  Review for Test 3

20.  Test 3—Thursday October 30th

21.  2.7

22.  3.1

23.  3.2

24.  3.6

25.  4.2

26.  4.3

27.  Review for Test 4

28.  Test 4—Thursday, December 4th

29.  4.4

30.  4.5

Final Exam – Thursday December 11th 8-10:30 am

Homework Problems

1.1       1-4,11-44,61-68

1.2       9-31, 37, 38, 43- 62

1.3       1-6, 9-14, 17-34

1.4       1-14, 17-22, 25,26, 29-31

1.5       1-86

1.6       1-12, 21-36, 97-109

1.7       1-60, 71-80

1.8       1-20, 25-34, 37-44

2.1       1-20, 69-84

2.2       1-20, 47-54, 101-104

2.4       3-20, 49-52, 97-104

2.5       1-2, 5-10, 17-18, 23-44

2.6       1-22, 24-26

2.7       1-24, 31-38

3.1       11-40, 55-60, 81-88

3.2       43-62, 69-81

3.3       1-4, 7-16

3.4       16-24

4.1       21-30

4.2       1-46, 59-66

4.3       1-14, 25-32, 43-56, 59-66