SOUTHWEST TENNESSEE COMMUNITY COLLEGE COURSE SYLLABUS FOR MODULAR Algebra and Trigonometry II (MATH1750-#L#) COURSE DESCRIPTION: Continuation of Algebra and Trigonometry I encompassing the trigonometric form of complex numbers, powers and roots of complex numbers, trig. identities, trig. equations, inverse trig. functions, polar coordinates; also, conic sections, exponential and logarithmic functions, inequalities, variations, sequences and series. Prerequisite: Passing grade in MATH1740 (Algebra and Trigonometry I) This course provides instructor lead individualized instruction through MyLabsPlus and is competency based. Lectures must be completed with a grade of 100% before moving to the homework sets. Module homework sets must be completed with a grade of 90% or higher before moving to the self-checks Self-checks must be completed with a grade of 80% or higher before moving to the next section. Practice Exams must be completed with a grade of 80% before taking Module Exam Each Module Exam must be completed with a grade of 70% or higher before moving to the next module. If score is below 70% you will be counseled before moving on. REQUIRED MATERIALS: MyMathLab Plus Student Access Kit There are two versions of MyMathLab, buy the one with the word Plus. ISBN: 0558926800 Organizer Notebook for Assignments Earbuds to listen to video lectures in class. Graphics Calculator The Texas Instruments model TI-83 plus or TI-84 is recommended. Other types of graphing calculators may be used, but the instructor may not be able to provide assistance in their use. Cell phones may not be used as calculators. OPTIONAL MATERIALS: Textbook: Precalculus (4 th edition), by Blitzer Runde ISBN-13: 9780321687784
COURSE MODULES: Module I Polynomial Functions and Rational Functions Polynomial functions and understanding key aspects of their graphs o Review finding zeros [x-intercepts or solutions] by factoring o Review zero product property o multiplicity of zeros o intermediate value theorem Dividing polynomials o long division and synthetic division o remainder theorem to test zeros of the polynomial Finding all zeros (solutions, x-intercepts) of a polynomial using the rational zero theorem. Define rational functions and understanding key aspects of their graphs o vertical, horizontal and oblique asymptotes o arrow notation Modeling using Variation o direct variation and direct variation with powers o solving variation problems o inverse variation o combined variation o joint variation Module II Exponential and Logarithmic Functions/Equations, Arithmetic and Geometric Sequences, Summation Notation Exponential and logarithmic functions and understanding key aspects of their graphs o asymptotes, intercepts o Review related bases Review application problems and understanding interest formulas o simple, compound, and continuous interest Review converting exponential functions to their inverse logarithmic function and vise versa. Apply definitions, transformations, properties and restrictions to exponential and logarithmic functions. Use rules of logarithms to expand or contract logarithms o product rule, quotient rule, power rule o base change formula Solve exponential and logarithm equations and applying restrictions to find solutions. Review the use exponential growth and decay formulas as well as using restrictions to find domain and range to solve application problems. Sequences and summation notation, recursive sequences and factorials Arithmetic sequences o common difference, general term, sum of n terms Geometric sequences
o common ratio, general term, sum of n terms Annuities, Geometric series Module III Additional Topics The law of sine and its derivation o applications The law of cosine and its derivation o Side Angle Side (SAS), Side Side Side (SSS), applications Solving oblique triangles o Side Angle Angle (SAA), Angle Side Angle (ASA), Side Side Angle (SSA), the area of oblique triangle Herons formula for the area of a triangle Polar coordinates o plotting points in the polar coordinate system o the sign of r and a points location in polar coordinates o multiple representation of points o relationships between polar and rectangular coordinates o point conversion from polar to rectangular coordinates and vice versa o equation conversion from rectangular to polar coordinates and vice versa Complex Numbers in Polar Form o the complex plane o the absolute value and polar form of a complex number o product and quotient of two complex numbers in polar form o powers of complex numbers in polar form DeMoive s Theorem DeMoive s Theorem for finding complex numbers Vectors o directed line segments and geometric vectors o scalar multiplication, o direction and magnitude o vectors in the rectangular Coordinate System i and j vectors representing vectors in rectangular coordinates linear combinations o graph o operations and properties with vectors in terms of i and j addition, subtraction, scalar multiplication and zero vector. commutative, associative, additive identity and inverse, distributive, multiplicative identity, and magnitude property o unit vectors, writing a vector in terms of its magnitude and direction and applications
Module VI Conic Sections, Circles and Parametric Equations Definition of circle o radius, center, standard form, general form Introduction to Ellipse o definition, standard form, graph, transformations, and applications Introduction to Hyperbola o definition, standard form, asymptotes, graph, transformations, and applications Introduction to Parabola o definition, standard form, graph, transformations, and applications) Parametric Equations o plane curves and parametric equations, graphing plane curves, eliminating the parameter, finding parametric equations, cycloids, advantages of parametric equations over rectangular equations GRADING POLICY: Final course grade will be calculated as follows: Module Exams (50%) Self-Checks (15%) Final Exam (35%) The following scale will be used to determine your final grade. GRADING SCALE: A 90%-100% W Withdrawal (Must submit official form) B 80-89% I Incomplete (Must see instructor to complete) C 70-79% D 60-69% F below 60% ADA STATEMENT: Southwest Tennessee Community College is committed to providing reasonable accommodation for all qualified students with disabilities. It is the responsibility of the student to contact the Counseling Office to arrange for appropriate accommodation. When the disability has been documented and verified, a counselor will notify the instructor regarding any special accommodation to be provided. Classroom Policies: ATTENDANCE REQUIREMENTS: Each student is expected to attend every scheduled class, regularly and punctually. Attendance in your course is mandatory until all coursework is completed, at which point the student has passed the course and is excused from attending. Missing more than three (3) class sessions before coursework is completed may result in an F for the course." Under current school policy, attendance is taken daily.
COMPUTERS Computers are to be used for educational purposes only. The use of a computer during open lab hours is on a first come first serve basis. Please do not touch the monitor screens as they can be damaged very easily. If your computer is not working properly, please notify an instructor or tutor and move to another computer. Please remember to log off when you leave the center UNEXCUSED EXITS Leaving class to engage in a conversation (by phone or person to person) Leaving before class is finished for any reason without prior permission BEHAVIOR EXPECTATIONS Classroom and academic behavior is outlined in the Southwest Tennessee Community College Student Handbook (See page 49) NO FOOD OR DRINK is allowed in the Math lab. NO CHILDREN or any other unauthorized individuals or animals are allowed in the classroom - No faculty member is authorized to make an exception to this policy without prior approval of the Mathematics Department Head. CELL PHONES and other electronic devices such as ipods and MP3 players must be placed out of sight and turned off. No cell phones may be used during exams. NO STUDENT will be allowed to attend class unless his/her name is on the official class roll or you have proper documentation from the Records Office. EXAMS are proctored and occur only in designated areas of the lab.