COURSE NUMBER: MAT 330


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MAT 330

I. TITLE: Technical Math III

II. CATALOG DESCRIPTION: Continuation of MAT 230. Includes differentiation and integration of transcendental functions, series expansions of functions, and differential equations.

III. PURPOSE: Mathematics can be viewed as a tool that requires mature, independent thought to better understand the real world.
Helping students develop a healthy respect for correct reasoning, precise definitions, and a good grasp of underlying assumptions, this course is designed to provide the necessary mathematical skills to pursue a study in scientific or engineering technology. This course focuses on the use of transcendental functions, integration techniques, and differential equations in studying scientific and engineering problems. Students are required to express problems mathematically, solve them, and interpret the solutions orally in class and in written form on exams and homework.

IV. COURSE OBJECTIVES: The student should gain an understanding and proficiency in the following items.
A. A four step problem solving process:

1. understanding the problem
2. devising a logical plan
3. carrying out the plan
4. interpreting the result

B. A competency in solving problems from a variety of disciplines by using techniques of integration, differentiation, and differential equations.
C. Develop an appreciation for oral and written communication to explain scientific and engineering problems in mathematical terms.
D. Gain an appreciation for the history of mathematics, with particular attention to the contributions of individuals from a variety of cultural backgrounds.

V. CONTENT OUTLINE:
A. Differentiation of Transcendental Functions

1. differentiation of logarithmic functions
2. differentiation of exponential functions
3. differentiation of Sine and Cosine functions
4. differentiation of other trigonometric functions

B. Integration of Transcendental Functions

1. integration of logarithmic functions
2. integration of exponential functions
3. integration of Sine and Cosine functions
4. integration of other trigonometric functions

C. Integration techniques

1. integration by parts
2. trigonometric integrals
3. trigonometric substitutions
4. use of tables, calculators and computer algebra systems

D. First order ordinary differential equations

1. exact equations
2. equations that are variables separable
3. homogeneous equations
4. linear equations

E. Linear higher order ordinary differential equations

1. homogeneous higher order equations
2. non-homogeneous higher order equations
3. Laplace Transforms

VI. INSTRUCTIONAL ACTIVITIES:
A. This course is a problem solving course designed to develop the student's ability to: (1) independently and logically develop an understanding of a problem (2) devise a logical plan for solving the problem (3) carry out the plan using the mathematics which has been developed during lectures that is appropriate for the problem and (4) interpret the mathematical result obtained in written and oral form. The course is thematic in its approach, focusing on integration and differentiation of transcendental functions, integration techniques, and differential equations.

B. Students are required to work individually and in groups to develop and solve mathematical models. Graphing calculators and Computer Algebra Systems are used when appropriate.

VII. FIELD AND CLINICAL EXPERIENCES: none

VIII. RESOURCES: In addition to the textbook a graphing calculator is required and the instructor holds office hours in order to work individually with students.

IX. GRADING PROCEDURES: Five 100 point exams and a final comprehensive 200 point exam will be given. There will be one comprehensive makeup exam given at the end of the semester. Only those students with valid excuses will be given the makeup exam. No makeup quizzes will be given. A notebook of all assigned problems will be required. It will be collected during each exam period with selected problems graded for 20 points each of the five times Grades will be assigned according to the following scale (given in percentages):
90-100 A
80-89    B
70-79    C
60-69    D
0-59    E

The exams and notebook will, of course, be in written form. All of the work must demonstrate a clear understanding of the problem solving method, competency in the use of the mathematical tools relevant to the course and a clear written communication of the mathematical concepts. That is to say, the student will not only be expected to master mathematical methods, but be able to communicate the solutions of problems relevant to their field of engineering technology. All scores on exams and notebooks will reflect that ability.

X. ATTENDANCE POLICY: Although there is no penalty for absences, each student will be responsible for all material covered, homework assignments made, changes in exam time, or other items that may be discussed in class.

XI. ACADEMIC HONESTY POLICY: Any instance of academic dishonesty, as determined by the instructor (in compliance with Board of Regents policy on Academic Integrity - Feb. 1975), will result in zero points for the assignment and possibly a grade of "E" for the course.

XII. TEXT: Current

XIII. PREREQUISITES: MAT 230

Last updated February 14, 2000. Designed and maintained by Kyosung Koo