MAT 116

Calculus for Social and Life Science

Winter 2004

 

Instructor: Bruce Armbrust, phone: 541-4660 ext. 314, email: armbrust@ltcc.edu

 

Office Hours: Room A210,             Mon.                            10:00 Ė 11:00 AM

Wed.                                    2:45  - 3:45 PM

Thurs.                                     12:30 - 1:30 PM

GMC G4,             Tues. & Thurs.            10:00 Ė 11:00 AM

And as always, by appointment.

 

Class Time and Location: Tues. & Thurs. 8:00 - 9:50 AM, A211

 

Textbook: Calculus: An Applied Approach, 5th Ed., Larson and Edwards

 

Calculator: A graphing calculator is required for this class.  I will be demonstrating with the TI-89.  I will do my best to assist with other models, but I promise nothing.

 

Course Description: MAT 116 is a continuation of MAT 115.  Topics include: antidifferentiation, calculus for trigonometric, exponential and logarithmic functions, and applications.  In this quarter we will delve into the other branch of Calculus, Integration.  Along the way we will see the links between differentiation and integration, as well as develop rules for new classes of functions.

 

Prerequisite: A grade of C or better in Math 115 or Math 105 or equivalent.

 

Successful Students Will:

1.      Exhibit a proficiency in the topics covered in this course;

2.      Engage in logical and critical thinking;

3.      Read technical information; and

4.      Demonstrate the solution to problems by translating written language into mathematical statements, interpreting information, sketching relevant diagrams, analyzing given information, formulating appropriate math statements, and checking and verifying results.

 

 

Course Grade: Your final letter grade will be based on the usual grading scale:

A 90-100%, B 80-89%, C 70-79%, D 60-69%, F 0-59%

The following items will make up the course grade:

 

Homework:                                          150 points

Quizzes:                                             100 points

Exam1 (January 18)

Exam2 (February 8):                           450 points

Exam3 (March 1)

Final Exam (March 20):                  300 points

 


Homework: Homework will be due the class period after it is assigned.  Homework not turned in at this time will be considered late. You may turn in homework up to one week after it is assigned for half credit.  If all homework is turned in, and no more than two are late, the lowest regular exam score will be dropped.

 

Quizzes: There will be approximately 5 announced quizzes given over the quarter.   These quizzes will be designed to help prepare you for the exams, and quiz problems will be taken directly from the homework assignments. A missed quiz may be made up with a penalty of 10% per day.

 

Exams:  Students are to bring a calculator, pencil, and blank scratch paper to each exam.  If you cannot make it to an exam (final not included), you may take it up to 2 school days prior to the scheduled date.  Otherwise, the exam may be made up after the scheduled date with a penalty of 10% per day.

 

Registration Information: You must register for this class at the Office of Admissions and Records.  You may drop the class with no penalty or mark on your record on or before January 30.  After January 30, you may drop the class and receive a grade of W until March 5.  After March 5, if you are still enrolled, you will receive a grade of A, B, C, D, F or I.

 

How to Succeed in a Math Class: I am often asked how to successfully pass a math class, and here is my advice:

 

I) Come to every class session.  Be prepared, and plan on participating.

II) Do your homework.  Remember that what I assign is what I consider a bare minimum.  If you need more practice, do it.  Donít make me be a homework enforcer.

III) Read the book.  You paid good money for it, so you might as well use it.

IV) Make use of available tutors and my office hours.  You will find tutors who know the subject matter in this course at the GMC.

V) Do math every day.  Math is just like everything else: if you donít practice, you become rusty.

 

Learning Disabled Students: It is important that students who are identified as being learning disabled speak to me about their special needs.  I am more than willing to grant you reasonable accommodations.

 

Academic Dishonesty: Academic dishonesty of any form will not be tolerated.  Students caught cheating on exams or quizzes will receive a score of zero on the assignment for the first offense and a course grade of F for the second offense.  Students my work together on homework assignments (and, in fact, are encouraged to) as long as all students understand the material covered.

 


Course Schedule:

The following is a tentative schedule.  If things change (you and I both know they will), I will let you know.

 

January

6          4.1, 4.2                        Exponential Functions

8          4.3                               Derivatives of Exponential Functions

13        4.4, 4.5                        Logarithmic Functions and their Derivatives

15        4.6                               Exponential Growth and Decay

20        5.1, 5.2                        Antiderivatives and the General Power Rule

22        Exam I                        

27        5.3                               Exponential and Logarithmic Integrals

29        5.4                               Fundamental Theorem of Calculus

 

February

3          5.5, 5.6                        Areas and Integrals as Sums

5          5.7                               Volumes of Solids

10        6.1                               Integration by Substitution

12        Exam II                       

17        6.2                               Integration by Parts

19        6.3                               Partial Fractions

24        6.5                               Numerical Integration

26        6.6                               Improper Integrals

 

March

2          8.1, 8.2                        Angles and Trig. Functions

4          Exam III                     

9          8.3                               Graphs of Trig. Functions

11        8.4, 8.5                        Derivatives and Integrals of Trig. Functions

16        8.6                               LíHospitalís Rule

18        Review                       

23        Final Exam                          

 


The following is a list of all homework assignments for this course.  The due dates for the various sections will be given in class.

 

Section Assignment

1.1

30-33,43,46,54-57,59,62,65,67,70

1.2

7-18,22,29,31,38,39

1.3

11-22,24,25,29-31,34

1.4

9,10,46,54,61,70,79,80,87,91,92,101,104,107-114,117,118

1.5

46,54,59,69,78,83,87,90,105,108,110,115

1.6

29-31,34,38,43,48,55,61,68,71,72,92,95,99,102

2.1

14,17,37,39,44,46,48,50-55,68,71,73,78,80,83,93,97

2.2

10,11,13-18,22,26,27,32,35

2.3

14-17,21-24,27,36,60,65,67,70

2.4

1-8,15,16,21,24,32,37,42,51

2.5

1-12,25,28-32,40,53,64,70

2.6

17,20,21,24,27,30,36,37,41,46,55-60,69,72

2.7

2,7,9,10,13,18,20,25

3.1

4-7,29-32,44-47,50,51,76,80,83,89

3.2

2,3,5,10,12,15

3.3

14-17,23,24,27,30,41-43,47,52,54,65,68

A5

4,7,18,19,30,31,36,37,39,40,42,43,46,47,50

3.4

3,6,10,11,13-18,37,38,41-43

3.5

4,5,15,19,28,36,40,41,45,52,53

3.6

15,20,31,36,41,45,50,54,63,66,71

3.7

1,4-6,16-21,23-26,32,35,42,45,57,60,63,66,72,73

3.8

1,4,5,10,13-16,19,24,28,31,36