Cuyamaca College - Spring 2015 Math 176 – Pre-Calculus (Functions and Graphs) - 6 units Instructor: Glenn Creswell Email: [email protected] Section: 9376 Tuesday/Thursday 9:30 AM – 12:20 PM, Room H-128 Office hours: 30 min. before class, or by emailing questions, or a phone number where you can be reached. Text: Precalculus – Mathematics for Calculus; 6th ed. Stewart et al. Also Required: Graphing Calculator - The math department highly recommends either a TI-83 or TI-84. Loose leaf paper and graph paper when appropriate for homework. No pages torn from a spiral notebook will be accepted. Catalog Description: Graphic, numeric, and analytic approaches to the study of pre-calculus from college algebra and trigonometry. Application of appropriate technology including but not limited to graphing utilities to model, analyze, and interpret a collection of data or to solve application problems from a variety of disciplines. Topics include the real number system; algebraic, exponential and logarithmic functions and their inverses with emphasis on the circular functions; trigonometric equations and identities; vectors; right and oblique triangles; partial fractions; polar coordinates; mathematical induction; sequences and ser ies, matrices, the binomial theorem. Student Learning Outcomes “ Upon successful completion of this course students will be able to:” 1) Define all 6 trigonometric functions in terms of a triangle, the coordinate system, and the unit circle. 2) Compute angles and sides of triangles in terms of degree or radian measure. 3) Graph trigonometric functions and their inverse functions, and discuss the domain, range, and properties of these functions. 4) Prove trigonometric identities and apply them to solve for exact values, simplify expressions, and solve equations. 5) Analyze physical problems and create trigonometric relationships involving triangles, the coordinate system, the unit circle, or vectors. 6) Analyze linear, quadratic, polynomial, rational, absolute value, exponential, logarithmic, and piece-wise defined functions as well as inverse functions from a graphic, numeric and analytic perspective. 7) Analyze and solve applied problems from various disciplines and involving a variety of equations including but not limited to: linear, quadratic, polynomial, rational, radical, absolute value, exponential and logarithmic equations as well as a systems of equations. 8) Apply critical thinking and mathematical reasoning skills necessary in collegiatelevel algebraic problem solving in related disciplines such as science, business, and engineering. 9) Classify conic equations and construct graphs of conic sections. 10) Observe, interpret, and analyze the behavior of graphs of a wide variety of functions and statistical plots. 11) Utilize sequences and series equations to solve theoretical and applied problems from various disciplines such as science, business, and engineering. 12) Select and apply appropriate technology including but not limited to graphing utilities to model, analyze and interpret a collection of data or to solve real-world application problems requiring the use of collegiate-level mathematics. Course Layout: Homework: Will be assigned regularly. Due dates will be the next class meeting unless otherwise specified. It will be scored on a 5 pt. scale for completeness and readability. It will be collected frequently but not every class meeting. Homework will be worth 5% of your grade. Homework Quizzes: Will be given frequently without advance notice and will be either a problem taken from the homework assignment or one very much like it. They will test for your basic understanding of the content of the homework and scored based on my assessment of your understanding and showing the appropriate amount of work according to the work shown in lecture examples. Homework quizzes will be worth 10% of your grade. Quizzes: Will be given each Tuesday when there is not a test and will be between 3 and 5 problems representing a variety of levels of difficulty similar to the homework’s range of difficulty. Lowest quiz score will be dropped. Quizzes are worth 20% of your grade. Exams: There will be three exams during the course of the semester. There are no make-ups for any reason but your lowest score will be dropped. Exams are worth 45% of your grade. Final Exam: This will be a free-response exam over selected sections. Final Exam is worth 20% of your grade. Grading Scale will be as follows: 91-100% A 85-90% A80-84% B+ 75-79% B 70-74% B67-69% C+ 62-66% C 60-61% C50-59% D Below 50% F Academic Accommodations are available with student disabilities. Please contact the instructor and/or Disabled Student Services (DSPS) for further information. www.cuyamaca.edu/dsps Important Dates Last Day to Add February 6th Last Day to Apply for P/NP February 27th Last Day to drop Class April 24th Keys to success Attend and use the class time to be mentally engaged, ask thoughtful questions when you have them, and work on all group work problems as this is your opportunity to know where misunderstandings may lie prior to going home. Use the book as a reference, follow along with worked examples if you are stuck, read ahead before attempting homework. Make note cards of import ant formulas so you can commit them to memory. Befriend fellow classmates so you have someone to talk to. Talking through a problem really helps to cement it in your mind. Prepare well and early for all assessments by redoing homework problems, particularly the problems that still give you trouble. Avail yourself of help that is available. Tutoring center, instructor classmates, solutions manual, book. Have a positive outlook on the experience. It will be challenging but regularly interacting with the material makes success very doable. Tentative Schedule Week 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 Date 1/27-1/29 2/3-2/5 2/10-2/12 2/17-2/19 2/24-2/26 3/3/-3/5 3/10-3/12 3/17-3/19 3/31-4/2 4/7-4/9 4/14-4/16 4/21-4/23 4/28-4/30 5/5-5/7 5/12-5/14 5/19-5/21 5/26-5/28 Topics Chapter 1 : Review Chapter 2: Functions 2.1-2.4 Chapter 2: (2.6-2.7) Chapter 3: (3.1-3.3) Chapter 3:(3.5-3.6) Chapter 4: (4.1-4.4) Chapter 4: (4.5) & Chapter 5: (5.1,5.2) Chapter 5: (5.3-5.5) & Chapter 6 (6.1-6.3) Chapter 6: (6.4-6.6) & Chapter 7 (7.1,7.2) Chapter 7: (7.3-7.5) Chapter 10 (10.1-10.2) Chapter 10 (10.7-10.9) Chapter 11 (11.1-11.3) Chapter 12 (12.1) Chapter 12 (12.2, 12.3, 12.5) Chapter 12 (12.6) & Final Review Final Exam
© Copyright 2026 Paperzz