TMA 095 01 – Applied Technical Mathematics I Syllabus Instructor: Joe Kalus Email: kalusj@middlesex.mass.edu Office Telephone: 781-280-3568 Office: Room 123, Bldg 3-Henderson Hall Office Hours: MWF in Bldg 7, Rm. 002; 9:30 – 10:30 a.m. Tu, Th in Bldg 7, Rm. 002; 12:30 – 1:30 p.m. Semester: Fall 2007 Time: Tues. Thurs. , 10:30-12:20 Location: Building 7, Rm. 002 Bedford Course Description – 4 Credits The first course in a two-semester sequence of intermediate algebra and trigonometry with technical applications. Topics included are: the trigonometric functions, vectors, units of measurement and approximate numbers, fundamental concepts of algebra, functions and graphs, systems of linear equations, factoring and fractions, quadratics, geometry (areas and perimeters of common plane figures, volumes and surface areas of common solids). 4.000 Credit Hours, 4.000 Lecture hours. Prerequisites: MAT 070 (MA 1103) or eligibility for MAT 080 (MA 1104). Text and Required Materials Textbooks Basic Technical Mathematics Eighth Edition by Allyn J. Washington PEARSON, Addison Wesley ISBN: 0-321-13193-2 Materials One 3-ring binder notebook for hard copy projects, homework and instructor hand-outs 128 Meg or more Thumb/Flash drive Texas Instruments TI-83 PLUS Graphing Calculator Required Readings: Textbook Materials handed out by the instructor This product was funded by a grant awarded under the President’s Community-Based Job Training Grants as implemented by the U.S. department of labor’s Employment and Training Administration. The information contained in this product was created by a grantee organization and does not necessarily reflect the official position of the U.S. Department of labor. All references to non-governmental companies or organizations, their services, products, or resources are offered for informational purposes and should not be construed as an endorsement by the Department of Labor. This product is copyrighted by the institution that created it and is intended for individual, organizational, non-commercial use only. 1 Student Learner Outcomes Upon successful completion of this course, the student will be able to use the following mathematical concepts to solve problems in electrical systems: 1. Trigonometric functions 2. Fundamental algebra, functions and graphs 3. Systems of linear equations, factoring, quadratics 4. Geometrical concepts of areas, perimeters, volumes and surface areas 5. Units of measurements and approximate numbers Teaching Methods The course will be presented using a variety of proven methods, such as lecture, calculator demonstrations, and project-based learning. Students will practice and reinforce their knowledge through homework assignments, calculator lab exercises, and class projects. Student Responsibilities: Attendance: Students are responsible for attending all scheduled class sessions and for all material presented in the sessions (including handouts and notes). Attendance will be recorded. If you are unable to come to class for any reason, please let me know in advance. Either tell me directly or call me between 7:00 am and 8:00 am. Leave a message if I am unable to personally answer the phone. For class delays or canceled due to bad weather, please check the MCC portal: https://mymcc.middlesex.mass.edu/ . Electronic Devices: Cell phones or pagers should be set on silent or vibrate alarms during class. No use of CD players or headphones connected to PCs. Academic Integrity It is the responsibility of the Middlesex community is to uphold the integrity of our academic programs. This responsibility belongs to faculty and students alike. According to the Academic Catalog 20052007 “taking credit for work done by another person, or doing work for which another person will receive credit is cheating” and “taking and using the ideas or writings of another without clearly and fully crediting the source is plagiarism” (109). As students, it is your responsibility to learn proper citation of sources; the Modern Language Association Handbook gives complete descriptions. It is understood that you will submit original work for each assignment, both within and between courses. Students are encouraged to get assistance with assignments from their peers, but must complete and understand each assignment independently; points will not be awarded for assignments the student has not personally completed. 2 Grading Assignments will be graded for completeness, accuracy, and on time submission. Activity Total Number 5 1 5 5 1 30 1 Homework Mid-Term Practice Quizzes Quizzes Class Project Attendance Final Points Per 4 50 2 4 40 1/3 50 Max. # of points 20 50 10 20 40 10 50 Weight 10% 25% 5% 10% 20% 5% 25% Course Grade Grade Numeric A Range 93-100 A- 90-92 B+ 87-89 B 83-86 B- 80-82 C+ 77-79 C 73-76 C- 70-72 D+ 67-69 D 63-66 D- 60-62 F 00-59 Lab Safety Rules Since the class will be conducted in the EUT Lab, the following rules will apply: • No loose clothing • No wrist or neck jewelry, neck ties or anything hanging from the neck or wrists • Do not operate any switches without instructor’s supervision • No food or drink 3 Topics Date 2007 W1 9/6 W2 9/11 Topic Introduction to course, policies, assignments, grading Student background survey Formation of Lab/Homework teams Group discussions of the group assignment summarization Basic algebraic operations [Chapter1] Numbers Operations order. Etc Approx #, calculator Exponents Scientific notation 9/13 Basic algebraic operations [Chapter 1] Linear equations Solving equations W3 9/18 Factoring and Fractions [Chapter 6] Operations with fractions [x, /, +, -] Equations with fractions Factoring 9/20 Quadratic equations [Chapter 7] Systems of Linear Equations [Chapter 5] W4 9/25 9/27 Systems of Linear Equations [Chapter 5] continued W5 10/2 Inequalities [Chapter 17] 4 Date 2007 10/4 Topic W6 10/9 Exponents and Radicals [Chapter 11] continued 10/11 Trigonometric functions [Chapter 4] Definitions Right angle triangle W7 10/16 MIDTERM EXAM 10/18 NO CLASS W8 10/23 Trigonometric functions [Chapter 4] continued 10/25 Trig functions of any angle [Chapter 8] radians W9 10/30 Vectors and Oblique Triangles [Chapter 9] Vector components Vector operations [+, - ] Laws of sine and cosine 11/1 Vectors and Oblique Triangles [Chapter 9] Continued W10 11/6 11/8 Exponents and Radicals [Chapter 11] - Professional Day Vectors and Oblique Triangles [Chapter 9] continued Vectors and Oblique Triangles [Chapter 9] continued 5 Date 2007 Topic W11 11/13 Graphs of Trig Functions [Chapter 10] 11/15 W12 11/20 11/22 W13 11/27 11/29 W14 12/4 12/6 Complex Numbers [Chapter 12] Definitions, operations, graphs Complex Numbers [Chapter 12] Polar form NO CLASS - Thanksgiving Break Complex Numbers [Chapter 12] Exponential form Complex Numbers [Chapter 12] Ops [=,-,x,/] Complex Numbers [Chapter 12] Application to AC current Exponential functions [Chapter 13] W15 12/11 Exponential functions [Chapter 13] Continued 12/13 Geometry [Chapter 2] Areas, perimeters Volumes, surface areas Units of measurement W16 12/1821 Final Exam week 6