IMA210 Course Syllabus

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I. Course

IMA 210 Calculus I

Credits: 3 (3-0-6)

Prerequisite: IMA102 Advanced Mathematics

II. Course Description

A study of mathematical concepts used for solving problems numerically and graphically such as matrices, functions, limits and continuity, derivatives and applications. Students will develop an understanding of the methodology used in advanced mathematics courses.

III. Course Objectives

On successful completion of this course, students will be able to:

  • Understand the theoretical definition of a derivative as it relates to limits, continuity, and rates of change
  • Calculate the derivative using the product rule, quotient rule, chain rule as well as for exponential, logarithmic, and trigonometric functions
  • Interpret the first, second, and higher order derivative of a function graphically
  • Analyze and understand the relationship between a function and its input variables
  • Have a strong fundamental background in derivative calculus upon which to build in future integration and multivariate calculus courses

IV. Course Organization

Lectures:                    Monday, Wednesday  3:30 – 5:00 pm

Locations:                    Pentecost (PC) 213

Instructor:                   Aluma Dembo (Full time instructor)

email aluma_d@payap.ac.th

office Pentecost Building (PC) 314

phone (053) 851478-86 ext. 7221

V. Course Texts and Webpage

The textbook is required and students are expected to complete the reading prior to the lecture for which it was assigned. The textbook is available in the CIS office for student use.

Margaret L. Lial, Raymond N. Greenwell, Charles D. Miller, (1998) Calculus with Applications, 6th Edition, Addison-Wesley, ISBN 0-321-01631-9

Homework, solution sets, announcements and additional resources will be posted on the course website. http://cis.payap.ac.th/?page_id=1508

VI. Grading

Twelve weekly assignments are due at the 3:30pm every Monday in class excluding the first week of the course, and the week of the midterm. In addition there will be one midterm during the week of August 2 – 7, and one final during the weeks of September 27- October 9.

The grade breakdown for this course is as follows:

Assignments:              25%

Midterm exam:            30%

Final Exam:                  45%

VII. Content overview

Week

Topics

Reading

# lectures

# HWs

1-2

Introduction and Review

R.1-R.7, 1.1-1.3, 2.1-2.6

4

1

3

Limits

3.1

2

1

4

Continuity, Intermediate Value Theory, Rates of Change

3.2

2

1

5

Tangent Lines, definition of a derivative, calculating derivatives

3.3-3.4

2

1

6

Graphing derivatives

3.5

2

1

7

Product rule, quotient rule, chain rule

4.1-4.3

2

1

8

midterm review

1

0

9

derivative of exponential and logarithmic functions

4.4-4.5

2

1

10

derivative of trigonometric functions, interpreting the derivative

12.2, 5.1

2

1

11

Relative and global extrema

5.2-5.3

2

1

12

absolute minima and applications of extrema

6.1-6.3

2

1

13

Implicit differentiation, related rates

6.4-6.5

2

1

14-15

multivariate differentiation

9.1-9.3

3

1

15

final review

1

0

VIII. Course Policies

Although students are encouraged to work together on homework assignments, they are required to submit separate homework and to write up solution methods independently. Plagiarism is not tolerated- any student found plagiarizing, or aiding another student in plagiarizing will receive a zero.

For information on the consequences of cheating on an exam, students are encouraged to read the Curriculums and Regulations for International Programs handbook.

It is the student’s responsibility to maintain a minimum attendance of 80%. Any student with less than the minimum required attendance cannot take the final exam.

Letter grade evaluation is based on the Payap University Grading Scale shown below

Grade Letter Grade Score out of 4 Transcript Legend
80-100 A 4 Excellent
75-79 B+ 3.5 Very Good
70-74 B 3 Good
65-69 C+ 2.5 Fairly Good
60-64 C 2 Fair
55-59 D+ 1.5 Poor
50-54 D 1 Very Poor
0-49 F 0 Fail

I Incomplete

W Withdraw

IP Course work in progress

U Audit

P Pass (same requirements as a C)

NP Not Pass