Calculus  for Business MATH 22, W2007
 
 

Instructor: 

Dimiter Vassilev Office Surge 219

Email dvassilev @ math.ucr.edu   Phone 827-4610

Web Page math.ucr.edu/~dvassilev  

Office Hours T 9:30-10:30  Th 11:00-12:00 in Surge 219

You are welcome to stop for a quick question any time.

Teaching Assistants:

022-021  Shilong Kuang, Office Surge 265     Email   kuang@math.ucr.edu   Office Hours W 2:00-3:00pm, R 2:00-3:00pm and 6:00-8:00pm or by appointment

022-022  Hwayoung Lee, Office Surge  264     Email  hylee@math.ucr.edu    Office Hours

022-023  Matt Wiley, Office Surge  281         Email  matt@math.ucr.edu       Office Hours Friday 9:10am - 11:00am in Surge 281

 

Study Group: Monday and Wednesday from 4  to 6 pm @ room Surge 113

 

Textbook: Brief Calculus An Applied Approach, 7th edition,  R. Larson, B. Edwards and D. Falvo

 

Class Activities for MATH022                                                                                                                               
Section 020 Lecture  TR  02:10 p.m. - 03:30 p.m.  STAT B650

Section 021  Discussion  MW  01:10 p.m. - 02:00 p.m.  BOYHL 1471

Section 022  Discussion  MW  08:10 p.m. - 09:00 p.m.  SPR 2356

Section 023  Discussion  MW  09:10 a.m. - 10:00 a.m.  ENGR2 139

Final Exam:    03/22/2007 11:30A-2:30P

 

CATALOG DESCRIPTION:


MATH 022 Calculus for Business 5 Lecture, 3 hours; discussion, 2 hours. Prerequisite(s): a sufficiently high score on the placement examination, as determined by the Mathematics Department, or MATH 004 with a grade of "C-" or better or MATH 005 with a grade of "C-" or better or MATH 008A with a grade of "C-" or better or MATH 023 with a grade of "C-" or better. Explores relations and functions (linear, polynomial, logarithmic, and exponential), differential calculus of unctions of one and two variables, and integration (indefinite and definite) with applications to business and economic problems. Credit is not awarded for MATH 022 if a grade of "C-" or better has already been awarded for MATH 008B, MATH 009A, or MATH 09HA.

 

Prerequisites:    MATH004 with a grade of "C-" or better OR MATH005 with a grade of "C-" or better OR MATH008A with a grade of "C-" or better OR MATH023 with a grade of "C-" or better
 
 

 

 

 

Daily Information

Here I will put information whenever needed during the semester.  

Note: ID required in order to take an exam.

Date

Section

Homework ( * problems due the following lecture class)

Th  01/04

1.2 Graphs of equations  & 1.3 Lines in the plane

1.2/6,16*,28, 30*,42*,48, 64*, 70, 72   1.3/2,6,18,26,36,64*,84,86*,90

T 01/09

1.4 Functions &  1.5 Limits & 1.6 Continuity

1.4/2, 18, 22, 26*, 36, 42, 66*, 72, 76* 1.5/20,26*,30,38*,42,52,70*

1.6/24,30,52*, 66*

Th

2.1 Derivative and slope & 2.2 Rules of Differentiation

2.1/18*, 50*  2.2/10*,12,18,28*,34*,44,50*,52, 56*

T 01/16

2.3 Rates of change-velocity and marginals & 2.4 Product and quotient rules & 2.5 Chain rule

2.3/4*,14*, 16*,18*,22*,26*, 32*, 38* 2.4/2, 8*, 12, 32, 38*, 42*, 56, 60* 

2.5/18*,32*,48,52,54*,66*,74*

Th

2.6 Higher order derivatives & 2.7 Implicit differentiation 2.8 Related rates 2.6/2,*,16*,34*,42*  2.7/12*,16*,22,28*,40,46*  2.8/6, 8*, 10,12*, 18*,19, 22,23*

T 01/23

3.1 Increasing and decreasing functions & 3.2 Extrema & 3.3 Concavity

3.1/6*,8,10,14*,40*  3.2/6,20*,28*,36*,44*,48*  3.3/2,4*,28*,52*,65

Th

3.4 Optimization problems & 3.5 Applications

3.4/4,8*,24,28*,34,38*  3.5/2*,10*,14*,16*,22,24*,28*,38*

T 01/30

 

Th 02/01

Midterm exam

Study Group: Monday and Wednesday from 4  to 6 pm @ room Surge 113

T 02/06

3.6 Asymptotes &  3.7 Curve sketching & 3.8 Differentials and marginal analysis

3.6/4,6*,10*,18, 20*,28,30,44*,48,58* 3.7/4*,6,12*,20,44* 3.8/2,4,8*,30*,34*,40*

Th

4.1 Exponential functions & 4.2 Natural exponential function & 4.3 Derivatives of exponential functions

4.1/6, 88, 16, 18, 26*, 28*, 38*  4.2/10*, 16*, 32*, 40*, 42*, 46   4.3/4*, 12*, 24*, 42*

T 02/13

4.4 Logarithmic functions 4.5 Derivatives of logarithmic functions

4.4/2, 6*, 10, 16*, 20, 26, 34*, 50*, 54, 74*   4.5/12, 16*, 20, 38*, 48, 62, 80*, 82

Th

4.6 Exponential growth and decay

4.6/2*, 8*, 18*, 32*, 36*, 42*, 46

T  02/20

5.1 Antiderivatives and indefinite integrals  5.2 The general power rule

5.1/10*, 12*, 22, 34*, 36*, 38, 64*, 68*, 72  5.2/12*, 16, 18*, 20*, 50*

Th

5.3 Exponential and logarithmic integrals 5.4 Area and fundamental theorem of calculus 5.5 The area of a region bounded by two graphs

5.3/ 2,6,12*, 14, 16, 18*, 40, 42* 58*, 62 5.4/4*, 6*, 12, 14*, 16*, 22,24, 26*, 32*, 74*, 78*, 86*, 92*

5.5/ 100, 12*, 20, 42*,56*

T 02/27

5.6 The definite integral as the limit of a sum 5.7 Volumes of solids of revolution 6.1 Integration by substitution

5.6/8*  5.7/4, 6, 8*, 16*, 32*  6.1/2, 4, 6*, 12*, 20*, 24*, 26*, 34*, 40*

Th 03/01

 6.2 Integration by parts 6.4 Integration tables 6.6 Improper Integrals

6.2/2, 4, 6*, 14, 18*, 20*, 50*, 62*, 64*  6.4/4, 13, 24*, 30*  6.6/4*, 8*, 10*, 12*, 14*, 23, 26*, 40*, 44*

T 03/06

7.3 Functions of several variables 7.4 Partial derivatives

7.3/2, 4*, 34*, 36*  7.4/22*, 24*, 68*, 70*

Th

7.8 Double integrals and area in the plane 7.9 Applications of double integrals

7.8/ 4*, 6*, 28*,42*  7.9/32*, 38*

T 03/13

 

Th 03/15

 

 

Th 03/22

Final Exam

See ILEARN for Practice problems.

 

Calendar

Midterm

 in-class Thursday 02/01/2007

 ID required to take the exam

Final Exam in usual room

 Thursday 03/22/2007 11:30A-2:30P

 ID required to take the exam

 

 

Attendance: 

Lecture  TR  02:10 p.m. - 03:30 p.m.  STAT B650.  The Department expects students to attend, and to participate in, all lectures and discussion sections of the Math 9ABC class in which they are enrolled. Classes cannot be missed except for certified reasons (such as a medical emergency with a doctor certificate). 

Homework and Quizzes

Every class, I will assign a group of problems for you to work on to master the material presented in class.

 

        *   Each homework will have a few problems, which are marked with a *,  that will be due the next lecture class

        *   All collected homework will be returned in your discussion section the week following the one it was collected

        *   The homework sheets have to be stapled with the problems written in the order they were assigned,

        *   Your name and discussion section time should be written in the top right corner of the stapled homework       ( do not fold it!)

        *   Please follow this requirement at all times as otherwise the homework will not be collected or graded

There will be 10 to 15 minute long quizzes.  The quizzes will be given every week in the discussion sections.  The problems will be from or very close to the homework.  You are expected to reasonably explain (in writing) the steps of the solutions.

*   Unsubstantiated answers will not be given credit. All quizzes and homework points are bonus points.

You should always write your own solutions of the homework problems. It is your responsibility to follow this advice. This will be very helpful when you review later in the quarter. Many times people tend to believe they can do certain problems until they have to write down the actual solutions. 

 

There will be one Midterm exam and a Final Exam.  The homework will inform you about the tests, but you should not expect that most test questions will come without modification from the homework or any mock test.

Getting Help

I strongly recommend that you come and see me whenever you have difficulties.  Please do not postpone your questions for a later time. The course moves at a fast rate, so you should attend both your discussion sections and lecture classes in order to keep up with the material.  The discussion sections meet twice weekly and are a very important part of the course.

Grading

Midterm will be scaled to

200

Final exam will be scaled to

400

Total 

600

+ Bonus  HW + Quizzes will be scaled to

 

( more than one letter grade if you work for it! )

90

 

You will have at least A, B, C, D or F if you have correspondingly  > 90%,  80-89%, 65-79 %, 50-64 %  or <  50% out of 600 points.   Note that all raw scores from the quarter will be scaled as indicated above.

You can see your points on ILEARN http://ilearn.ucr.edu/

 

This scale allows for a curve.  However, the following Department policy will be followed.

Mathematics Department Policy: grant grades of C- or higher only to students who demonstrate adequate preparation for the next course in the sequence or program. For example, a student who is not competent to solve very elementary word problems does not meet this standard.

 

Examples:  

Midterm 83  Final 80   Total  81%  (Grade B)     Bonus 60pts        Total with Bonus 91 Grade A   

Midterm 67 %  Final 40   Total  49%( Grade F/D)    Bonus 48pts      Total with Bonus 57 % Grade C-   

 

Make ups

No make-up quizzes or exams are allowed, except for a certified reason (such as a Doctor certificate).

Calculators

Calculators will not be permitted for quizzes, exams, or homework assignments.

 

Academic Honesty

Students are encouraged to review UC Riverside's policies on academic integrity, available on the web at http://www.conduct.ucr.edu/ In

particular, students are expected to submit their own work for exams and homework assignments