SOUTHWEST TENNESSEE COMMUNITY COLLEGE COURSE SYLLABUS FOR Pre-Calculus II

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SOUTHWEST TENNESSEE COMMUNITY COLLEGE COURSE SYLLABUS FOR Pre-Calculus II Course Description: A study of functions and graphing technique theories, circular functions and their graphs, trigonometric

1 SOUTHWEST TENNESSEE COMMUNITY COLLEGE COURSE SYLLABUS FOR Pre-Calculus II Course Description: A study of functions and graphing technique theories, circular functions and their graphs, trigonometric functions with applications to right and general triangles, complex numbers, inverse trig functions, identities and trigonometric equations. The Mathematics Department recommends that Calculus be taken as soon as possible after the conclusion of this course. Prerequisite: MATH 1710 Precalculus. Note: The Math Department highly recommends a grade of at least C in the prerequisite course before attempting this course. (This course does not satisfy General Education Requirements for graduation.) 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: 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:

2 COURSE MODULES: Module I Trigonometric Functions Introduction to angles o standard position, angle sign (positive or negative) o angle names (acute, right, straight, obtuse, quadrantal) o fractional angles, coterminal angles, compliments, confunctions, reference angles Introduction to radian measure o central angle, arc length o relationship and conversion between degrees and radians, the unit circle o linear and angular speed The six trig functions o finding values (unit circle, of any angle, x, r, y) o domain and range, even or odd o reciprocal, quotient and Pythagorean identities o periodic properties, repetitive behavior o signs of non-qudrantal angles o composition of functions involving inverse functions o right angle trigonometry, special triangle relations Module II Graphing Trig. Functions, Applications and Identities Graph the six trig functions and inverse functions o amplitude, period, zeros, quarter length, overall period, frequency of oscillation, phase shift, vertical shifts, sinusoidal waves, modeling periodic behavior, asymptotes Applications o angle of elevation, angle of depression o bearings o simple harmonic motion Verify trigonometric identities o using fundamental identities - reciprocal, quotient and Pythagorean, even- odd identities o simplifying given trigonometric expressions Module III Analytic Functions Sum and difference formula o verify and find exact values using the cosine, sine and tangent of the sum and difference of two angles Double-Angle, Power-Reducing, and Half-Angle Formulas o three forms of double angle formula for cosine and three forms of half-angle for tangent

3 o verify and find exact values using the cosine, sine and tangent for double angles o verify, find exact values and write equivalent statements using the cosine, sine and tangent for power reducing o verify and find exact values using the cosine, sine and tangent for half-angles Product to Sum and Sum to Product formulas o express sums or differences as products using sine, cosine and tangent o express products to sum or differences using sine, cosine and tangent Trigonometric equations o equations involving a single trigonometric function and multiple angles o trigonometric equations quadratic in form o using factoring to separate two different trigonometric functions in an equation o using identities and calculator to solve trigonometric equations 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 Module IV Additional Topics 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 Graphs of polar coordinates o using polar grids to graph polar equations o graphing a polar equation by point plotting o circles in polar coordinates o tests for symmetry in polar coordinates, o limacons, rose curves, lemniscates Complex Numbers in Polar Form

4 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 The Dot Product o The dot product of two vectors, angle between two vectors, Parallel and Orthogonal Vectors, Projection of a Vector Onto Another Vector o The vector projection of v onto w and the vector components of v (v1and v2) o Work: An Application of the Dot Product GRADING POLICY: Final course grade will be calculated as follows: Module Exams (50%) Homework, Self-Checks and Notebooks (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%

5 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 developmental courses 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.

SOUTHWEST TENNESSEE COMMUNITY COLLEGE COURSE SYLLABUS FOR MODULAR Algebra and Trigonometry II (MATH1750-#L#)

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