COURSE OUTLINE FOR TECHNICAL MATHEMATICS II
| A. | COURSE NUMBER AND TITLE: |
MT122 – TECHNICAL MATHEMATICS II |
| B. | CURRICULUM: | Mathematics/Computer Science Unit Offering |
| C. | CATALOG DESCRIPTION: |
(C, N, S) (4-0) 4 Credits F/S The second course in a two-semester sequence of intermediate algebra and trigonometry with technical applications. Topics included are: trigonometric functions of any angle, oblique triangle, graphs of trigonometric functions, exponents and radicals, exponential and log functions, variation, inequalities, introduction to statistics. The scientific calculator will be used throughout the course. Prerequisite: MT121 or equivalent, and/or appropriate mathematics level code. Level code is determined by Mathematics Department placement test and/or successful completion of mathematics courses. |
| D. | DURATION OF INSTRUCTIONAL PERIOD: |
Two hundred minutes per week for fifteen weeks. |
| E. | ACADEMIC CREDIT HOURS: |
Four (4) credit hours. |
| F. | SUGGESTED TEXT/ COURSE MATERIALS: |
See individual campus Book Specific Outline. A
scientific calculator with trig, yx, and logarithmic functions will be required. Use of a graphing calculator will be optional. |
| G. | COURSE OUTCOMES: | Upon Completion of this course, the student will
be able to: 1. Solve equations including exponential, logarithmic, or trigonometric functions. 2. Evaluate trigonometric functions and their inverses for angles measured in degrees and radians. 3. Solve oblique triangles using the law of sines or law of cosines. 4. Sketch and interpret the graph of trigonometric, exponential, and logarithmic functions. 5. Perform fundamental operations, (addition, subtraction, multiplication, division) on algebraic terms involving exponents and radicals, and logarithmic functions. 6. Graph functions using log and semi-log paper. 7. Analyze and solve proportion and variation problems. 8. Solve basic probability problems. 9. Find area under the normal curve and solve application problems. 10. Develop and interpret X bar and R charts for statistical process control. 11. Summarize and interpret data using frequency distribution, measures of central tendency, and measures of dispersion. 12. Technology Objectives: a. Analyze and interpret the following based on a graphing calculator or a symbolic computer program. i. Graphs of trigonometric functions ii. Graphs of exponential functions iii. Graphs of logarithmic functions b. Perform statistical operations using a computer software program (optional) |
| H. | PROGRAM COMPETENCIES: |
(SEE J. ECC GRADUATE LEARNING OUTCOMES) |
| I. | SUNY General Education Ten Knowledge Areas: |
• Interpret and draw inferences from mathematical models such as formulas, graphs, tables and schematics Related Course Outcomes: 1, 4, 6-12 • Represent mathematical information symbolically, visually, numerically and verbally Related Course Outcomes: 1, 2, 4-12 • Employ quantitative methods such as arithmetic, algebra, geometry, or statistics to solve problems Related Course Outcomes: 1-12 • Estimate and check mathematical results for reasonableness Related Course Outcomes: 1, 8-11 • Recognize the limits of mathematical and statistical methods Related Course Outcomes: 2, 3, 4, 6, 8-11 |
| J. | ECC Graduate Learning Outcomes (GLO): |
1. Apply appropriate mathematical procedures and quantitative methods Related Course Outcomes: 1-12 2. Demonstrate adequate preparation for a career or continuing education Related Course Objectives: 1-12 |
| K. | ASSESSMENT OF STUDENT LEARNING: |
A minimum of 200 minutes of exams that test the
objectives stated above. Students must demonstrate proficiency and justify answers on exams. |
| L. | LIBRARY RESOURCES: | No library project for this course. |
| M. | TOPICAL OUTLINE: | INSTRUCTIONAL PERIODS: |
| I. | Trigonometric Functions of any angle
a. Functions of any angle |
1.5 weeks |
| II. | Oblique Triangles
a. Law of sines |
1.5 weeks |
| III. | Graphs of Trigonometric Functions a. Graphs of Trigonometric Functions y = asin(bx+c), y = acos(bx+c) b. Graphs of y=tan(x), y=cot(x), y=sec(x), y=csc(x) |
1.5 weeks |
| IV. | Exponents and Radicals a. Fundamental operations (addition, subtraction, multiplication, and division) with i. Integral exponents ii. Fractional exponents iii. Radical form b. Applications |
2.25 weeks |
| V. | Complex Numbers a. Review of fundamental operations with complex numbers b. Exponential form |
0.5 week |
| VI. | Exponential and Logarithmic Functions 2.25 weeks a. Definition of exponential and logarithmic functions b. Graphing of exponential and logarithmic functions c. Fundamental laws of logarithmic functions d. Solving exponential and logarithmic equations e. Graphing on log and semi-log paper (optional) f. Applications |
2.25 weeks |
| VII. | Variation and Proportion 1.0 week a. Ratio and proportion b. Variation c. Applications of variation and proportion |
1.0 week |
| VIII. | Introduction to Statistics 3 weeks a. Methods of describing data b. Measures of central tendency c. Measures of dispersion d. Fitting straight lines to a set of points (optional) e. Basic probability problems f. Normal curve g. z-scores h. Basics of Statistics Quality Control, X bar and R charts |
3 weeks |
| IX. | Review and Evaluation | 1.5 weeks |
| N. | PREPARED BY: Mary Beth Orrange and Mary Long |
