Course Syllabus
Math 155 Pre-Calculus Spring 2020
Class Information
This Math course starts as an online course on Monday March 30, 2020.
Lectures will be delivered through live confer zoom meetings scheduled at the regular class times on Mondays and Wednesdays (MW) from 1:30-3:45 pm.
Click the link below to join the class meeting.
Office Hours During Finals Week
TUTORING MW 9:00 a.m. - 11:15 a.m
TUTORING MW 4:00 p.m. - 5:00 p.m.
Ticket #30048
Semester: Spring 2020 Jan 13, 2020 - May 22, 2019
Instructor: Daniela Cortez e-mail: dcortez@cerritos.edu Phone: 562-860-2451 ext. 2664
Textbook: Openstax Intermediate Algebra along with the Adaptive Online Learning Course ware knewton's Alta
Calculators: A non-symbolic graphing calculator is required for Math 155. TI 84 is recommended.
Cellphones may not be used as calculators and calculators may not shared on exams and quizzes.
Student Learning Outcomes:
Upon successful completion of Math 150 the student will be able to…
1) Demonstrate an understanding of the properties of linear, non-linear and transcendental functions, and use them to evaluate expressions, solve equations, and solve applications
2) Explore and analyze conic sections
3) Identify a geometric and an arithmetic progression and use the binomial theorem to expand the power of a binomial
4) Demonstrate an understanding of and use the principle of mathematical induction
Course Description
Math 155 is designed to prepare students for calculus. It includes an analysis of linear, absolute value, quadratic, polynomial, rational, radical, exponential, logarithmic, and trigonometric functions and their inverses. Additional topics included are the complex number system, systems of equations and inequalities, conics, sequences, series, the binomial theorem, and mathematical induction. A nonsymbolic graphing calculator is required.
Homework
Homework for this online course is assigned a due date weekly. However, it is intended for you to work at a rate of about one section assignment per day so that you are caught up by the quiz or exam date. Each homework assignment is worth 10 points and it will be automatically graded on canvas by the due date. Fo this course you will purchase Knewton's Alta which is an adaptive learning system that can allow you to finish your section course work in ten minutes if you are prepared, but it can take you longer if you attempt the problems without knowing the material. The idea is that you read the book and/or the related instruction from Knewton before you attempt the course work. Take advantage of all the resources provided by Knewton’s Alta.
Discussions
In order to allow student collaboration, there may be graded class discussions through out the semester. The prompts for each discussion will cover overarching topics from one or more modules. Your classmates will be able to see your posts. Please read Web Etiquete
Quizzes
There will online quizzes periodically throughout the semester. Each quiz will cover the material specified by the instructor. The quizzes will be open for a whole week and two attempts per quiz are allowed. There will be no make- up quizzes.
Exams
There will be three in class, face-to-face exams, each worth 100 points, and one comprehensive final exam worth 200 points. No make-up exams will be given unless documented proof is presented in the event an unexpected emergency that conflicts with any of the exams occurs. You must take the final exam to pass the course.
Grading Policy
Grades are based upon the combination of points on a weighted scale. Points will be given for online homework, quizzes, and exams.
Exams, midterm and final exam make up 70% of the grade. Homework, quizzes and discussions make up 30% of the grade.
Where A: 90-100% B: 80-89%C: 70-79%D: 60-69%F: 59 & below
Attendance Policy
Cerritos College Attendance and Grading policies: It is the responsibility of students to attend classes regularly and apply themselves to the college studies in which they are enrolled... Students not in attendance or late for the first class meeting are subject to drop. Students who are absent in excess of 10% of the total class hours are subject to drop. Students who are absent during the course add period are subject to drop.
This course is a four-unit course taught in a 18-week format. Total "class" hours for this course are 72 hours. This means that if you miss more than 8 hours (or the equivalent of two Modules since each module "class time" is equivalent to four hours), you could be dropped. Again, federal law requires faculty to drop online students for non-participation.
Deadlines
It is the student’s responsibility to withdraw from the course before the deadline. Failure to officially withdraw from class will result in an “F” grade for the course.
Dead line to withdraw from the class without a “W” is January 31, 2020.
Dead line to withdraw from the class with a “W” is April 24, 2020.
Deadline to Elect P / NP is February 18, 2020.
Academic Integrity
If you are caught participating in an act of academic dishonesty, you will receive a disciplinary F in the course and your name will be reported to the appropriate academic dean. Examples of academic dishonesty include, but are not limited to copying from another student’s homework, quiz, or exam, allowing another student to copy your work and copying homework solutions from the text solution manual.
Student-Teacher Communication
You may contact me:
Via Canvas (Inbox): Anytime during the semester. Please allow at least two days for a response.
Via e-mail to dcortez@cerritos.edu: Anytime during the semester. Please allow at least two days for a response.
Via voicemail: 562-860-2451 Ext: 2664: Anytime during the semester. Please allow at least a day for a response.
Disabled Student Programs and Services
If you have a disability for which you are or may be requesting an accommodation, you are encouraged to contact both your instructor and the Disabled Student Programs and Services at (562) 860-2451 ext.2335, as early as possible in the term.
Technology Requirements
Basic Computer Skills
In order to succeed in a Mathematics online course, it is important for you to have access to a computer as well as general computer skills. You must be able to connect to and navigate the internet as well as use e-mail comfortably.
Math 155 Pre-Calculus Tentative Concepts for Exam 2 _Subject to change_Spring 2020
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Week 7 |
M, Feb 24
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Sec. 4.1: Evaluate and Write Exponential Functions Sec. 4.1: Applications of Exponential Functions and Base e Sec. 4.2: Exponential Function Graphs Sec. 4.3: Relate Logarithms and Exponents Sec. 4.3: Evaluate Logarithmic Expressions |
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W, Feb 26
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Sec. 4.4: Logarithmic Function Graphs Sec. 4.5: Basic Properties of Logarithms Sec. 4.5: Rewrite Logarithmic Expressions Using Properties |
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Week 8 |
M, Mar 2 |
Sec. 4.6: Solve Exponential Equations Sec. 4.6: Solve Logarithmic Equations Sec. 4.7: Applications of Exponential and Logarithmic Functions Quiz 5 (Sec. 4.1-4.6) |
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W, Mar 4 |
Sec. 5.2: The Six Trigonometric Ratios Sec. 5.2: Sine and Cosine Values in the First Quadrant Sec. 5.2: Sine and Cosine Values with Reference Angles |
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Week 9 |
M, Mar 9 |
Class Cancelled |
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W, Mar 11 |
Sec. 5.3: The Other Trigonometric Ratios on the Unit Circle Sec. 5.3: Use Given Trigonometric Ratios to Find Other Ratios Quiz 6 (Sec. 5.2-5.4) |
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Week 10 |
M, Mar 16 |
Spring Break |
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W, Mar 18 |
Spring Break |
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Week 11 |
M, Mar 23
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Classes Cancelled Campus Wide / Course will transition to an online course |
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W, Mar 25
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Classes Cancelled Campus Wide / Course will transition to an online course |
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Week 12 |
M, Mar 30
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Sec. 5.4: Use Right Triangle Trigonometry in Solving Problems Sec 5.4: Use Pythagorean and Co-function Identities Sec. 6.1: Characteristics of Sine and Cosine Graphs Sec. 6.1: Transformations of Sine and Cosine Graphs |
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W Apr 1
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Sec. 6.2: Characteristics of Tangent and Cotangent Graphs Sec. 6.2: Characteristics of Secant and Cosecant Functions Sec. 6.3: Introduction to Inverse Trigonometric Functions Sec. 6.3: Solve Triangles with Inverse Trigonometric Functions Sec. 6.3: Compose Functions with Inverse Trigonometric Functions Quiz 7 (Sec. 6.1-6.3) |
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Week 13 |
M, Apr 6 |
Sec. 7.1: Simplify Expressions with Basic Trigonometric Identities Sec. 7.1: Verify Trigonometric Identities
Sec. 7.5: Trigonometric Equations in Sine and Cosine |
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W, Apr 8
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Sec. 7.5: Trigonometric Equations Involving a Single Trigonometric Function Sec. 7.5: Trigonometric Equations in Quadratic Form or Requiring Factoring Sec. 7.5: Trigonometric Equations Requiring Identities or Multiple Angles |
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Week 14 |
M, Apr 13
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Review for Exam 2
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W, Apr 15 |
***Exam 2*** |
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Week 15 |
M, Apr 20
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Sec. 9.1: Graphing Systems of Linear Equations (Review) Sec. 9.1: Solving Systems of Linear Equations (Review) Sec. 9.1: Applications of Systems of Linear Equations (Review) Sec. 9.2: Systems of Linear Equations in Three Variables Sec. 9.3: Systems of Two Nonlinear Equations Sec. 9.5: Introduction to Matrices Sec. 9.5: Matrix Multiplication Quiz 7 (Sec. 9.1-9.8) |
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W, Apr 22
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Sec. 9.6: Solving Systems with Gaussian Eliminations Sec. 9.8: Finding Determinants of Matrices Sec. 9.7: Inverse and Identity Matrices Sec. 9.7: Solving Systems with Inverses Sec. 9.8: Solving Systems with Cramer’s Rule |
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Week 16 |
M, Apr 27
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Sec. 10.1: Ellipses Centered at the Origin Sec. 10.1: Ellipses Not Centered at the Origin Sec. 10.1: Ellipses Not in Standard Form and Applications of Ellipses Sec. 10.2: Hyperbolas Centered at the Origin Sec. 10.2: Hyperbolas Not Centered at the Origin Sec. 10.2: Hyperbolas Not in Standard Form and Applications of Hyperbolas Quiz 10 (Sec. 10.1-10.3) |
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W, Apr 29
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Sec. 10.3: Parabolas Centered at the Origin Sec. 10.3: Parabolas Not Centered at the Origin Sec. 10.3: Parabolas Not in Standard Form and Applications of Parabolas Sec. 11.1: Introduction to Sequences Sec. 11.1 Recursive Sequences Sec. 11.2: Arithmetic Sequences |
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Week 17 |
M, May 4
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Sec. 11.2: Applications of Arithmetic Sequences Sec. 11.3: Geometric Sequences Sec. 11.3: Applications of Geometric Sequences Sec. 11.3: Summation Notation and Arithmetic Series Sec. 11.3: Finite and Infinite Geometric Series |
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W, May 6
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Sec. 11.4: Applications of Series Sec. 11.6: Binomial Expansion Review for Exam 3 |
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Week 18 |
M, May 11
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****Exam 3***
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W, May 13 |
Sec. 8.3: Convert Coordinates Between Rectangular and Polar Forms Sec. 8.3: Convert Equations Between Rectangular and Polar Forms Final Review |
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Week 19 |
M, May 18 |
***Final Exam*** |
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W, May 20 |
Finals Week-No Class |
Course Description:
[INSTRUCTORS: We have included the C-ID descriptor here as a place holder. As with all sections, feel free to keep this information, replace it with your local course description, or remove this section entirely.]
Preparation for calculus: polynomial, absolute value, radical, rational, exponential, logarithmic, and trigonometric functions and their graphs; analytic geometry, polar coordinates.
Student Learning Outcomes:
[INSTRUCTORS: We have included the C-ID outcomes here as a place holder. As with all sections, feel free to keep this information, replace it with your local Student Learning Outcomes, or remove it entirely.]
Upon successful completion of the course, students will be able to:
- Graph functions and relations in rectangular coordinates and polar coordinates;
- Synthesize results from the graphs and/or equations of functions and relations;
- Apply transformations to the graphs of functions and relations;
- Recognize the relationship between functions and their inverses graphically and algebraically;
- Solve and apply equations including rational, linear, polynomial, exponential, absolute value, radical, and logarithmic, and solve linear, nonlinear, and absolute value inequalities;
- Solve systems of equations and inequalities;
- Apply functions to model real world applications;
- Identify special triangles and their related angle and side measures;
- Evaluate the trigonometric function of an angle given in degree and radian measure;
- Manipulate and simplify a trigonometric expression;
- Solve trigonometric equations, triangles, and applications;
- Graph the basic trigonometric functions and apply changes in period, phase and amplitude to generate new graphs; and
- Prove trigonometric identities
Course Content:
[INSTRUCTORS: Insert course content]
- Functions including linear, polynomial, rational, radical, exponential, absolute value, logarithmic, trigonometric; definitions, evaluation, domain and range;
- Inverses of functions;
- Algebra of functions;
- Graphs of functions including asymptotic behavior, intercepts, and vertices;
- Transformations of quadratic, absolute value, radical, rational, logarithmic, exponential functions;
- Equations including rational, linear, radical, polynomial, exponential, trigonometric, logarithmic, and absolute value;
- Linear, nonlinear, and absolute value inequalities;
- Systems of equations and inequalities;
- Characterization of real and complex zeros of polynomials;
- Unit circle and right triangle trigonometry;
- Trigonometric and inverse trigonometric identities and formulas;
- Graphing trigonometric functions: period, amplitude, phase shift, inverse trigonometric functions; and
- Polar coordinates
Textbook:
Great news: your textbook for this class is available for free online!
Precalculus from OpenStax, ISBN 1-947172-06-9
You have several options to obtain this book:
- View online (Links to an external site.) (Links to an external site.)
- Download a PDF (Links to an external site.) (Links to an external site.)
- Order a print copy (Links to an external site.) (Links to an external site.)
You can use whichever formats you want. Web view is recommended -- the responsive design works seamlessly on any device.
Important Notes:
- All first week assignments need to be completed and submitted by the due date to avoid possibly being dropped from the class.
- Any student needing accommodations should inform the instructor. Students with disabilities who may need accommodations for this class are encouraged to notify the instructor and contact the Disability Resource Center (DRC) [link to your college's DSPS website] early in the quarter so that reasonable accommodations may be implemented as soon as possible. Students may contact the DRC by visiting the Center (located in room A205) or by phone (541-4660 ext. 249 voice or 542-1870 TTY for deaf students). All information will remain confidential.
- Academic dishonesty and plagiarism will result in a failing grade on the assignment. Using someone else's ideas or phrasing and representing those ideas or phrasing as our own, either on purpose or through carelessness, is a serious offense known as plagiarism. "Ideas or phrasing" includes written or spoken material, from whole papers and paragraphs to sentences, and, indeed, phrases but it also includes statistics, lab results, art work, etc. Please see the YourCollegeName handbook for policies regarding plagiarism, harassment, etc. [link to your college's academic honesty policies]
Course Summary:
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