Course: College Algebra & Trigonometry, MAT 150. Required Text: College
Algebra & Trigonometry, 4th Edition; Blitzer. Packet Contents: Syllabus* .
Institution: Great Bay Community College Course: College Algebra & Trigonometry, MAT 150 Required Text: College Algebra & Trigonometry, 4th Edition; Blitzer Packet Contents: Syllabus* ..................................................................................................................................... 2 Course Content Outline.......................................................................................................... 5 Midterm Exam .......................................................................................................................... 8 Final Exam, High Score.........................................................................................................15 Final Exam, Medium Score..................................................................................................23 *The syllabus and exams provided came from two different proffessors.
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New Hampshire Great Bay Community College
College Algebra & Trigonometry Course : MATH
150 College Algebra II (20243 & 20244)) Spring 2010 Monday & Wednesday 1:30-3:30 / 5:30-7:30
Prerequisites : MATH 090 Developmental Algebra II with C or better or Placement Exam or permission of Instructor Text :College Algebra & Trigonometry Fourth edition by Robert Blitzer Pearson , Prentice Hall Instructor:
James Parent
Course Description: This course covers the following topics: functions, relations, graphs, domain and range; exponential and logarithmic functions and expressions; trigonometric functions; fractions, roots and radicals, complex numbers; and systems of equations. Grading Policy: There will be five 90-minute cumulative exams. Final grades will be calculated based on the average of the five tests. Grades: A(93-100), A-(90-92), B+(86-89), B(83-85), B-(80-82), C+(76-79), C(73-75), C-(70-72), D+(66-69), D(63-65), D-(60-62), F(Below 60)
College Algebra & Trigonometry
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Instructional Methods: Instruction will incorporate lectures and detailed solutions to exercises from the textbook. Attendance Policy: Attendance will be taken at each class session. Students are expected to attend all classes and are responsible for the material covered during each class. Students missing two consecutive classes or 3 classes total without communication for the semester will receive a notice of such in the mail from the Registrar’s office. Students who have demonstrated knowledge of the subject matter may be excused from class at the discretion of the instructor. Students may be administratively withdrawn with 3 absences or 2 consecutive absences without communication. Academic Integrity: Students are expected to behave in a manner that is ethically consistent with college policy and in a manner that could not be interpreted as cheating or plagiarism. Failure to meet this expectation could result in a grade of F for the course. Need For Assistance: The instructor will make himself available by appointment. You may reach the instructor via e-mail at
[email protected] MATH150 assignments go to CAPS for help or contact me by e-mail, or ask at the beginning of each class. Success In Class: A positive attitude, good attendance, and keeping up with homework all contribute to success in this course. Exams are based on homework-type exercises. So, to get a good grade in this course, do the homework. Like playing a musical instrument, or to excel in sports, one learns mathematics by doing mathematics. There is no other way. (Have you ever tried learning how to program a computer without writing computer programs?!?!?) There is no extra credit to improve your grade. To me, that's discrimination. Do your homework daily and up to 75-minutes each session. (Some need less; some need more.)
College Algebra & Trigonometry
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Make Ups and Extra Credit: If you were given permission to miss an exam, you will be given a make up before Final Exam week. Remember that I can not make it easier, or the same as the original exam. You must contact me for a place and time. There is no extra credit. I feel it discriminates. Instead, do your homework.
Campus Diversity: Students should expect to receive respect and appreciation from others for differences in cultural background, language, sexual orientation, religion, etc ; and, should in turn give respect and appreciation to others for their differences. Disabilities: The College is committed to providing support for students with disabilities. Any student with physical, learning, attention, and/or psychological disabilities is encouraged to visit the Center for Academic Planning and Support (CAPS) and make an appointment with the Coordinator of Disability Support Services. More information is available at http://greatbay.edu/caps/disability_support_services.html
College Algebra & Trigonometry
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Course Content Outline Department:
Mathematics & Physics
Date:
Program:
ALL
Prepared by: Scott Hewitt
Course Number: MATH150 Theory Hours: 3
January 2010
Course Title: College Algebra Lab Hours: 0
Credits: 3
Prerequisites: Satisfactory placement test scores as defined by the mathematics faculty or MATH131 or Math 090 with C or better or permission from the instructor. Catalog Description: MATH150 College Algebra 3-0-3 This course prepares the student for higher-level mathematics. Some topics covered are factoring, rational exponents, solving linear and quadratic equations, rational expressions, composite and inverse functions, systems of linear and quadratic functions, geometry, matrix algebra, logarithmic functions, and exponential functions. Desired Student Competencies
The student will: 1. Describe the elements of a “set” using set builder notation and find “union/intersection’ of sets. 2. Calculate outputs (y values) given inputs (x values). 3. Interpret number formats and input values in a scientific calculator. 4. Solve equations using the fractional operations of multiplication (unit conversions), combining fractions using the LCD/GCD, and dividing complex fractions. 5. Rearrange equations using transposition and cross-multiplication. 6. Use input values, relational operators (inequality symbols) to define the input variable domain. 7. Use output values, relational operators (inequality symbols) to define the output variable range. 8. Graph/solve linear equations related to rate, mixtures (quantities), and interest. 9. Solve linear inequality problems. 10. Solve Systems of Linear Equations by substitution/elimination/graphing/matrices. 11. Use the Cartesian Coordinate System; line length (distance)/midpoint formulas. 12. Find slope of horizontal/vertical/parallel/perpendicular lines. 13. Generate equations using slope-intercept & point-slope forms. 14. Graph Inequalities. 15. Interpret line/bar/linear graphs. 16. Graph quadratic functions and determine their vertex coordinates (min/max) values 17. Determine functions/relations using vertical line test.. 18. Solve applications involving the Pythagorean Theorem. 19. Describe the terminology used in defining complex/imaginary numbers. 20. Solve problems with polynomials and polynomial functions. 21. Solve problems with rational expressions and equations. 22. Solve problems with roots, radicals, and complex numbers 23. Solve quadratic functions using the quadratic formula. 24. Solve exponential/logarithmic applications. 25. Solve problems with conic sections that include the circle, ellipse, parabola, and hyperbola.
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Course Number: MATH150
Course Title: College Algebra
Other Related Issues:
1. 2.
Lectures Classroom and homework Problem Solving
Outline of Topics to be Covered 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15.
Review of Elementary Functions and graphing Fundamentals Set Builder Notation, Inequality Symbols, Interval Notation, Number Types Properties of Operations with Real Numbers, Order of Operations, Formula Solution Applied Word problems Linear Inequalities (Solving and Graphing) Equations and Inequalities with Absolute Values Systems of Linear Equations and Inequalities Matrix Algebra Polynomials and Polynomial Functions Rational Expressions and Equations Roots, Radicals, and Complex Numbers Quadratic Equations Exponential/Logarithmic Equations Conic Sections: the circle, the ellipse. the parabola, and the hyperbola Additional topics as time allows
METHODS OF ASSESSMENT Objective 1 Description: Students will be able to describe the elements of a set. Assessment: Quizzes, tests, and cumulative exam to 70% or better proficiency. Outcome Measures: Students will identify, determine, and find various sets, union, and intersection of sets, express sets in roster form, set-builder notation, and interval notation. Objective 2 Description: Course competencies 2-17, 20- 23 Assessment: Quizzes, tests, and cumulative exam to 70% or better proficiency. Outcome Measures: Students will solve and verify linear and non-linear equations, linear inequalities, formulas, and systems of equations, following steps using various methods, including factoring, graphing, matrices, factoring and the quadratic formula. Objective 3 Description: Course competencies 8, 17, 18, 20-25 Assessment: Quizzes, tests, and cumulative exam to 70% or better proficiency. Outcome Measures: Students will generate equations based on various word problems, solve and verify, perform the algebra of functions, and evaluate and manipulate various formulas. Objective 4 Description: Course competencies 4, 16, 17,18,20,21 Assessment: Quizzes, tests, and cumulative exam to 70% or better proficiency.
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Outcome Measures: Students will use factoring methods to simplify rational expressions, solve 2nd degree equations, applications, and word problems. Objective 5 Description: Course competencies 21,22, and 24 Assessment: Quizzes, tests, and cumulative exam to 70% or better proficiency. Outcome Measures: Students will perform various operations with radicals, complex numbers, exponential and logarithmic functions, equations, and common logarithms.
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