An integrated treatment of the concepts necessary for calculus beginning with a review of algebraic and transcendental functions including trigonometric functions. Topics also include the binomial theorem, analytic geometry, vector algebra, polar and parametric equations, mathematical induction and sequences and series.
Course Learning Outcomes
The student will:
Demonstrate and apply knowledge of properties of functions.
Recognize and apply algebraic and transcendental functions and solve related equations.
Apply graphing techniques to algebraic and transcendental functions.
Compute the values of trigonometric functions for key angles in all quadrants of the unit circle measured in both degrees and radians.
Prove trigonometric identities.
Solve right and oblique triangles.
Apply the binomial theorem.
Determine equations of conic sections, and graph conics, including translation and identification of vertices, foci and asymptotes.
Perform basic operations and solve applications using vector algebra.
Perform operations and graph equations using polar and parametric equations.
Prove statements using mathematical induction.
Use properties of arithmetic and geometric sequences and series to identify terms, find sums and solve applications.
Math 1314 and Math 1316 OR placement by testing;
College level readiness in reading and writing
Textbook: Sullivan, Michael and Sullivan, Michael III, Precalculus Enhanced with Graphing Utilities, 7th edition
Required: Students must buy an access code to MyMathLab, an online course management system which includes a complete eBook; students will first need a Course ID provided by the instructor in order to register; online purchase of MyMathLab access at www.mymathlab.com.
ISBN for hard copies of MyMathLab access codes: 9780135909324
Hardbound text (optional), ISBN: 9780134119281
Hardbound text + free MyMathLab access, ISBN: 9780134265148
Calculators may be required for some assignments/assessments at the discrection of the Instructor. Refer to class syllabus for details.
Neither cell phones nor PDA’s can be used as calculators. Calculators may be cleared before tests.
There is a collection of facts, formulas and identities from this course that students should be expected to memorize because having them at ready recollection is essential for their success in Calculus and beyond. Instructors should design test items that require these formulas in order to assess whether they have been learned. Students must not be allowed to bring these to the test on a formula sheet nor should instructors provide these formulas to them.
There are sections of the textbook that should be covered in class (listed below as Textbook Sections) and sections that should be assigned to the students to review on their own at the beginning of the semester (listed below as Self Review Sections). Self Review Sections must NOT be covered in class but students MUST be assessed on these sections as part of their grade. Faculty have the option of using the departmental College Algebra and Trigonometry Readiness Check for Precalculus as an assessment instrument. This instrument is available in print form or in web-based form through MyMathLab.