Ccc.clinton.edu



[pic]

DEPARTMENT OF MATHEMATICS COURSE INFORMATION SHEET FOR

MAT105 – TECHNICAL MATHEMATICS I

All members of the Math Department at Clinton Community College use the respective course template as a basis for their course syllabi. Faculty may, at their discretion, change the order of the course content or add course content.

COURSE NUMBER AND TITLE: MAT105 – Technical Mathematics I

COURSE SECTION: TBA

CONTACT HOURS: 4 CREDIT HOURS: 4

SEMESTER AND YEAR: TBA

INSTRUCTOR’S NAME, TELEPHONE NUMBER, EMAIL ADDRESS, OFFICE NUMBER, AND OFFICE HOURS: TBA

I. COURSE DESCRIPTION:

This is the first course in a two-semester sequence of intermediate algebra and trigonometry with technical applications. Course topics include operations in the real number system, units of measurement and approximate numbers, functions and graphs, first-degree equations, lines and linear functions, systems of linear equations, right triangle trigonometry, geometry (perimeters, areas, volumes of common figures), rules of exponents, polynomial operations, factoring, operations on rational expressions, quadratic equation, and binary and hexadecimal notation. The use of graphing calculator is required for this course to further the exploration of these topics and their applications. Near the end of the course, students will complete a comprehensive, departmental final exam to assess their preparedness to move on to MAT205 Technical Mathematics II.

II. PREREQUISITE: C- or better in MAT100 Introductory Algebra, equivalent or placement

III. COURSE OBJECTIVES AND SUNY GENERAL EDUCATION LEARNING OUTCOMES:

COURSE OBJECTIVES:

As the result of instructional activities, students will be able to:

1. Demonstrate understanding of real, rational, and irrational numbers

2. Perform operations on signed numbers

3. Use the laws of exponents

4. Solve problems involving the Order of Operations

5. Demonstrate the use of basic metric units and dimensional analysis

6. Use the terminology of algebraic expressions

7. Evaluate literal expressions

8. Solve first-degree equations in one variable

9. Analyze and solve word problems involving the use of linear and quadratic equations and functions

10. Graph and interpret functions

11. Graph scatter plots of data given in tables

12. Find linear equation models for data approximated by first degree equations

13. Add and subtract polynomials

14. Multiply polynomials using special products, long multiplication, and the FOIL method

15. Divide polynomials

16. Use various methods to factor polynomials

17. Add, subtract, multiply, and divide rational expressions

18. Simplify complex fractions

19. Solve equations involving rational expressions

20. Convert back and forth among standard notation, scientific notation, and engineering notation

21. Solve quadratic equations by factoring and by the quadratic formula

22. Solve incomplete quadratic equations

23. Find quadratic equation models for data approximated by second degree equations

24. Use the Cartesian coordinate system to graph and interpret equations in two variables

25. Demonstrate knowledge of the slope-intercept form

26. Demonstrate knowledge of the point-slope form

27. Solve systems of linear equations by graphing, addition method, substitution method, and (optional) by determinants

28. Identify basic geometric shapes

29. Use formulas to find perimeter and area of basic two-dimensional geometric shapes

30. Use formulas to find surface area and volume of basic three-dimensional geometric shapes

31. Define and evaluate trigonometric functions from 0° to 90° and their inverses

32. Analyze and solve right triangles

33. Use binary and hexadecimal notation

34. Convert between decimal, binary, and hexadecimal notation

SUNY GENERAL EDUCATION LEARNING OUTCOMES:

Students will demonstrate the ability to:

1. interpret and draw inferences from mathematical models such as formulas, graphs, tables and schematics;

2. represent mathematical information symbolically, visually, numerically and verbally;

3. use arithmetical, algebraic, geometric and statistical methods to solve problems;

4. estimate and check mathematical results for reasonableness; and

5. recognize the limits of mathematical and statistical methods.

IV. REQUIRED TEXTBOOK AND MATERIALS:

REQUIRED ACCESS CODE:

MyMathLab with Pearson eText - Standalone Access Card – for Basic Technical Mathematics, 11th/E, Pearson; Washington & Evans.

ISBN# 9780134764702

The MyMathLab (MML) card provides you access to the MML online learning system, which includes an e-text, video lectures, practice problems, and online homework assignments. A hardcopy of the textbook is not required for this course.

REQUIRED MATERIALS:

A graphing calculator (the TI-83, TI-83 Plus, or TI-84 Plus)

V. METHODS OF INSTRUCTION/COURSE ORGANIZATION: To be determined by the respective instructor.

VI. ATTENDANCE PROCEDURE (INCLUDING MAKEUP POLICY): To be determined by the respective instructor.

VII. BIBLIOGRAPHY OF READINGS (IF APPLICABLE): To be determined by the respective instructor.

VIII. METHODS OF EVALUATION (INCLUDING THE CALCULATION OF COURSE GRADE): To be determined by the respective instructor. The methods of evaluation shall include tests (test types, length and weight of each), papers (weight of each), projects (weight of each), and other forms of evaluation (weight of each).

Departmental Grading Policies: A minimum of 70% of the course final average must be from in-class assessments/assignments and a maximum of 10% extra credit points can be issued per assignment.

Departmental/Course Final Exam Grading Policies: The departmental/course final exam must be given as an in-class exam and its score cannot be dropped; the departmental/course final exam must count as a minimum of 20% in the student’s final average.

IX. GRADING SCALE: To be determined by the respective instructor. The grading scale shall indicate what numerical scores correspond to the following grades: A, A-, B+, B, B-, C+, C, C-, D+, D, and F.

X. GENERAL TOPICS OUTLINE:

1. Fundamental Concepts and Operations of Algebra (textbook chapter 1)

including arithmetic and real number system, order of operations, rules of exponents, scientific notation, significant digits, accuracy, precision, metric system, dimensional analysis, roots and radicals, operations with algebraic expressions, linear equations and formula manipulation, applications of linear equations

2. Functions and Graphs (textbook chapters 3 and 5)

including functions, rectangular coordinate system, graphs of functions, slope, distance formula, slope-intercept form, graphing scatter plots from data, curve-fitting with data approximated by linear functions, parallel and perpendicular lines

3. Geometry (textbook chapter 2)

including angles and lines, triangles, quadrilaterals, circles, surface area and volume of geometric solids

4. Trigonometric Functions (textbook chapter 4)

including trigonometric ratios (sine, cosine, tangent), values of trig functions, inverse trig functions, solving right triangles, applications of right triangles

5. Factoring and Algebraic Fractions (textbook chapter 6)

including special products, factoring algebraic functions, other forms of factoring, equivalent fractions, addition, subtraction, multiplication and division of algebraic fractions, complex fractions, equations with fractions

6. Systems of Linear Equations (textbook chapter 5)

including solving systems of linear equations in two variables graphically, algebraically, and by using determinants(optional), solving systems of linear equations in three variables (optional)

7. Quadratic Equations (textbook chapter 7)

including solving quadratic equations by factoring, solving quadratic equations by graphing, solving quadratic equations by completing the square (optional), solving quadratic equations by the quadratic formula, curve-fitting with data approximated by quadratic functions, applications

8. Binary and Hexadecimal Notation (supplemental materials)

including using binary notation, using hexadecimal notation, converting between decimal, binary, and hexadecimal notation

XI. ACADEMIC INTEGRITY: Academic honesty is expected of all Clinton Community College students. It is academically dishonest, for example, to misrepresent another person’s work as one’s own, to take credit for someone else’s work or ideas, to accept help on a test, to obtain advanced information on confidential test materials, or to intentionally harm another student’s chances for academic success.

XII. GENERAL COLLEGE INFORMATION:

COURSE CONTINUITY PLAN: In the case that the college officially closes because of an emergency which causes a short-term disruption of this course, we will utilize e-mail to continue this course in the short term (1-3 weeks). All students need to utilize their campus email to receive course related information.

ACCOMMODATIVE SERVICES: If you have, or suspect you may have, any type of disability or learning problem that may require extra assistance or special accommodations, please speak to me privately after class or during my office hours as soon as possible so I can help you obtain any assistance you may need to successfully complete this course.  You should also contact Laurie Bethka, Room 211M in the Accommodative Services Office, for further assistance.

TECHNOLOGY STATEMENT: A CCC student should expect that any class may require some course activity that uses a computer and the internet.  Activities could include, but are not limited to, accessing the course syllabus, schedule, or other handouts on the website, completing homework online, taking quizzes or submitting written work, participating in a discussion

or sending/receiving e-mail.

................
................

In order to avoid copyright disputes, this page is only a partial summary.

Google Online Preview   Download