1 General Course Syllabus Department: Mathematics and Engineering Discipline: Mathematics Course Number: Math 1324 Course Title: Mathematical Analysis I Credit: 3 Lecture: 3 Lab: 0 This course satisfies a core curriculum requirement: Yes – Mathematics Prerequisites: (courses/TSI compliance): Two years of high school algebra or Math 0320, TSI compliance Available Formats (conventional/internet/ITV): conventional Campuses: Levelland Campus, Reese Campus, Byron Martin ATC Lubbock Campus Textbook: College Mathematics for Business, Economics, Life Sciences, and Social Sciences, 12th Edition, Barnett, Ziegler, and Byleen, Prentice Hall, 2011. ISBN-10: 0-321-61400-3, ISBN-13: 978-0-321-61400-1 Supplies (computer access/software/art material/camera/instrument): Graphing calculator: TI-83 or higher. This course may include online supplemental instruction. Consult your instructor’s course information sheet. Course Description (from the catalog): Topics include inequalities, progressions, relations, functions, systems of equations, matrices, linear programming, compound interest and annuities. Course Purpose/Rationale/Goal – (what some may call objectives): The purpose/rationale/goal of this course is to introduce students to the fundamental principles in business mathematics including functions, systems of equations, linear programming, and financial math and to prepare students to study Mathematical Analysis II. Course Requirements: To maximize the potential to complete this course, a student should attend all class meetings, complete all homework assignments and examinations including final projects and/or examinations.2 Student Learning Outcomes/Competencies: 1. Functions: Student will 1.1. identify, evaluate, characterize and graph linear, polynomial, rational, exponential and logarithmic functions. (1-2, 2-1, 2-2, 2-3, 2-4, 2-5, 2-6) 1.2. determine the domain of a function. (2-1) 2. Linear Models: Student will 2.1. set up and solve linear business functions: cost, revenue, profit. (1-1,) 2.2. set up and solve problems involving break-even points. (1-1) 2.3. set up and solve problems involving equilibrium points. (1-2) 3. Finance: Student will 3.1. use business formulas to calculate simple and compound interest. (2-5, 3-1, 3-2) 3.2. use business formulas to calculate effective rates. (3-2) 3.3. use business formulas to evaluate annuities. (3-3, 3-4) 4. Systems of Equations: Student will 4.1. solve systems of equations: by substitution, elimination, Gauss-Jordan elimination and matrix inversion. (4-1, 4-3, 4-6) 4.2. analyze the nature of the solution to a system of equations. (4-1) 4.3. apply the use of technology to perform matrix operations, find the inverse of a matrix, and solve systems of equations. (4-2, 4-4, 4-5) 4.4. set up and solve applications involving systems of equations. (4-1, 4-2, 4-3, 4-4, 4-5, 4-6, 4-7) 5. Linear Programming: Student will 5.1. use graphical methods to solve linear programming problems. (5-3) 5.2. use the Simplex Method to solve linear programming problems. (6-1, 6-2, 6-3, 6-4) 5.3. set up and solve applications involving linear programming problems. (5-3, 6-1, 6-2, 6-3, 6-4) 6. Algebra: Student will 6.1. simplify and factor algebraic expressions involving polynomials, rational expressions, exponents, and radicals. (A-2, A-3, A-4, A-5, A-6) 6.2. solve linear, quadratic, exponential, logarithmic and rational equations. (1-1, 2-3, 2-4, 2-6, A-7)3 MATH 1324—Math Analysis I (Business Algebra) South Plains College, Levelland campus Fall Semester 2011 Sections: 001, MW, 9:00-10:15 am 003, MW, 2:30-3:45 pm 006, TR, 11:00 am-12:15 pm Rooms: Levelland Math Bldg., Room 121 (001) Levelland Math Bldg., Room 122 (003) Levelland Math Bldg., Room 124 (006) Instructor: Mr. Robert E. Plant, II, M.S. Office Info: Room—Levelland Math Bldg. 116B Phone—(806) 716-2734 Hours—the following table will display the regular office hours. Monday Tuesday Wednesday Thursday Friday NONE 9:30-10:45 am 1:00-2:15 pm NONE 9:30-10:45 am 1:00-2:15 pm 9:00 am- Noon OR BY APPOINTMENT E-mail: [email protected] O.P.I.*: This syllabus is © 2011 by Mr. Robert E. Plant, II * O.P. I. means ―other pertinent information,‖ or in layman terms, ―something else that you need to know.‖ Tutoring: Free tutoring is available in room 116 of the Mathematics-Engineering Building, at the Reese Center campus in room RC256 and in Building 8, and at the Byron Martin ATC in Lubbock (34th and Avenue Q). (Please remember to sign in when you seek the help of a tutor in each of these places.) Videotapes for this course are also available. Students are encouraged to view these tapes in room 116 or check them out. Also, online access to these tapes is available through WebCT (Username: mvideos, Password: mvideos). “True knowledge exists in knowing that you know nothing.” —Socrates4 Fundamental Principles of Mathematics Mathematics is built upon two fundamental principles—pattern recognition and problem solving. Students must become able to recognize patterns in order to solve types of problems. Too often have I observed students hang a majority of time up on each specific problem, so it is my mission as your instructor to emphasize that there are sets of problems within the homework (HW) assigned that require one concept or skill to solve all problems in each set! It is the ultimate objective of this and any other mathematics course to enable you as the student to become proficient in both of these areas. But until you have reached the point of mastery in both, I submit to you a paraphrase of a quote taken from Tupac Shakur: “All eyes on me!” Guide to Being Successful in This Course In order for YOU the student to be successful at this or any other level of higher education, YOU must be aware of one very important aspect: student accountability. I as the instructor am accountable for aiding in your success by properly presenting the mathematical concepts of this course, as well as any real-world applications, in a manner that allows for the general group of students to display understanding of said information. YOU as the student are accountable for your success by putting forth the effort necessary to gain such understanding. This is achieved by completing all assignments using the information that I have presented in the lecture and by asking questions