MAT 202-Master
MAT 202- Section Number
Calculus II/MAT 202/Section #/5
Semester/year
Instructor:
Instructor Name here
Phone:
Phone # here
Email:
Email address here
Office Hours:
Office hours here
Office Location:
Room number here
Class Time(s)/Section(s)/Room#:
Class day(s) time(s) and room here
Census Date (date to drop with a refund):
Date here
Withdraw Date (date to withdraw with a “W”):
Date here
Course Description:
This course… Continues the study of single variable calculus which will include techniques of integration, analytic geometry, improper integrals, convergence of infinite numerical series and power series. This course is one of the Statewide Guaranteed Transfer courses. GT-MA1
Course Prerequisites/Co-requisites:
MAT 201 or equivalent with grade of “C”: or better or appropriate math placement test score
Required Textbook(s)/Materials:
Text: Calculus, Early Transcendentals for Scientists and Engineers, Briggs, Cochran, Gillett, Pearson 2013 and mml or just mml which houses the e-book
MyMathLab Access Code:
This code includes access to the e-text, student solutions manual, and online homework. You may be required to have access to the textbook in class in either electronic form or in print. Hard copies of the text and student solutions manual are available on reserve in the library.
Calculator:
TI-83/84 or TI-89 graphing calculator required. Graphing calculators may be rented through the Math Support Center (M2850).
Optional Course Materials:
Hard copy or unbound version of the textbook. This can be purchased, bundled with a MyMathLab access code.
Criteria for Grading/Grading Standards:
Criteria here
Grading Scheme:
Scheme here
Make-up/Late Work Policies:
Policies here
Attendance Policy:
Policy here
E-mail Communication:
· Electronic correspondence from ACC employees will go to your student email account only. When you activate your account you can forward emails to an e-mail account that you already have.
· To activate your student e-mail account, go to the ACC Website, log intomyACC.
· On top right hand corner, click on the Student Email icon (white envelope).
· A new window will pop up as Microsoft Outlook Web App.
· If you are a brand new student to the Colorado Community College System, your password is your birth date in this format MonthDDYear. For example, if you're birthday was July 4, 1976, then you would enter July041976.
o Then in the two boxes below that, create a new password and retype a new password in the second box.
o Then hit "Okay" and follow the prompts (select your language, time zone-"Mountain Time" is the 10th down from the very top, etc.) to complete your e-mail set-up.
· If you previously attended or applied to a Colorado Community College, your PASSWORD remained the same and your inbox should automatically connect.
· If you need technical support, please call the 24/7 toll-free technical support hotline at 1-888-800-9198.
E-mail Policy:
I will be checking my ACC e-mail regularly. Response time is typically with 24 hours during the week. Please use your ACC email to communicate with me. Due to FERPA regulations this is the only means that I can communicate with you.
Tutoring and Student Support Resources:
· Faculty and students provide tutoring for all math classes in Room M2850.Tutors provide assistance with math concepts, homework, online resources and graphing calculators. Note: Not all subject areas are available to be tutored at all times. For information, contact the Math Support Center at 303-797-5258.
· Online Tutoring (Brainfuse) can be accessed through the D2L homepage under Support Services. It is available 24 hours a day, 7 days a week.
· In the ACC Library, students may watch course related videos and DVDs in the library. The Writing Center is located in the library where you can get help with your papers and other writing questions.
Accommodations Statement:
Arapahoe Community College provides accommodations to qualified students with Disabilities. To request accommodation, contact Student Access Services located in M2710 or call 303-797-5937.
Audio/Video Recordings:
Except where a student is entitled to make an audio or video recording of class lectures and discussions as an educational accommodation determined through the student's interactive process with college Student Access Services, a student may not record lectures or classroom discussions unless written permission from the class instructor has been obtained and all students in the class as well as guest speakers have been informed that audio/video recording may occur. A student granted permission to record may use the recording only for his or her own study and may not publish or post the recording on YouTube or any other medium or venue without the instructor's explicit written authorization.
Please contact college Student Access Services at (303) 797-5937 if you require an educational accommodation.
Academic Integrity Statement:
Arapahoe Community College is committed to academic honesty and scholarly integrity. The College can best function and accomplish its mission in an atmosphere of the highest ethical standards. All members of the College community are expected and encouraged to contribute to such an environment by observing all accepted principles of academic honesty. Academic dishonesty includes but is not limited to: plagiarism, cheating, fabrication, grade tampering, misuse of computers and other electronic technology, and facilitating academic dishonesty. Those found in violation may also be subject to potential disciplinary sanctions under the Arapahoe Community College Code of Conduct. OR “Those found in violation of academic honesty will be subject to the following disciplinary actions: ______.”
Safety Statement:
The safety and security of all our students, faculty, staff and visitors is of the utmost importance to the Campus Police Department. We rely on each of you to be an additional set of ears and eyes to help maintain campus safety. Please be diligent in your efforts to report suspicious or unusual behavior or circumstances to the Campus Police Department. Trust your instincts when something doesn’t look, seem or feel right and tell someone. The Campus Police can be reached at 303-797-5800 or in M2600 on the second floor behind Information Central. Additional safety information can be found on the ACC website under Student Resources, Campus Safety (http://www.arapahoe.edu/student-resources/campus-safety).
Online Course Evaluations:
As this course nears completion, you will have the opportunity to complete a confidential evaluation of the class online. Login instructions will be sent to your ‘student.cccs.edu’ e-mail address. Your feedback is important, and ensures that ACC continues to offer quality instruction that meets your needs. Please take time to complete the survey – I appreciate your feedback.
ACC Student Learning Outcomes
Preparing learners for life success is an important commitment at Arapahoe Community College. These learning outcomes address the knowledge, skills, and values that are fundamental to the personal and professional growth of our students, employees and community.
1. Communication
Construct, deliver, and engage in effective, knowledgeable communication for a variety of audiences and purposes.
2. Information Management
Identify, retrieve and synthesize information in order to think critically, reason creatively and make informed judgments.
3. Personal Development
Identify and continually develop one’s aptitudes and abilities in pursuit of goals.
4. Responsibility and Accountability
Employ personal and social accountability, recognize ethical issues, practice ethical behavior, and balance personal freedom with the interest of the community.
5. Quantitative Reasoning
Retrieve, interpret and evaluate information and numerical concepts to determine trends, make predictions, and develop informed opinions.
6. Cultural Awareness
Identify, distinguish, or express a diversity of aesthetic, cultural, and historical perspectives.
Course Learning Outcomes:
After successful completion of this course the student should be able to:
Number / Course Learning Outcomes1 / Solve application problems related to integration.
2 / Solve introductory differential equations and associated initial value problems.
3 / Apply appropriate integration techniques including integration by parts, trig substitution and partial fractions to evaluate definite, indefinite, and improper integrals.
4 / Demonstrate the convergence or divergence of infinite sequences and series.
5 / Express functions as power series (including Taylor series) with appropriate interval of convergence
6 / Estimate errors in series approximations.
7 / Graph curves in polar and parametric form.
8 / Analyze curves in polar and parametric form using calculus techniques.
Topical Outline:
Chapter 6 Applications of Integration
6.5 Lengths of Curves
6.6 Surface Area
6.8 Logarithmic and Exponential Functions Revisited
6.9 Exponential Models
6.10 Hyperbolic Functions
Chapter 7 Integration Techniques
7.1 Basic Approaches
7.2 Integration by Parts
7.3 Trigonometric Integrals
7.4 Trigonometric Substitutions
7.5 Partial Fractions
7.6 Other Integration Strategies
7.7 Numerical Integration
7.8 Improper Integrals
Chapter 8 Differential Equations
8.1 Basic Ideas
8.2 Direction Fields and Euler’s Method
8.3 Separable Differential Equations
8.4 Special First-Order Differential Equations
8.5 Modeling with Differential Equations
Chapter 9 Sequences and Infinite Series
9.1 An Overview
9.2 Sequences
9.3 Infinite Series
9.4 The Divergence and Integral Tests
9.5 The Ratio, Root, and Comparison Tests
9.6 Alternating Series
Chapter 10 Power Series
10.1 Approximating Functions with Polynomials
10.2 Properties of Power Series
10.3 Taylor Series
10.4 Working with Taylor Series
Chapter 11 Parametric and Polar Curves
11.1 Parametric Equations
11.2 Polar Coordinates
11.3 Calculus in Polar Coordinates
11.4 Conic Sections
GT Pathways Requirements
The Colorado Commission on Higher Education has approved MAT 202 for inclusion in the Guaranteed Transfer (GT) Pathways program in the GT-MA1 category. For transferring students, successful completion with a minimum C‒ grade guarantees transfer and application of credit in this GT Pathways category. More information on the GT Pathways program.
Content Criteria for GT-MA1 Courses
Students should be able to:
· Demonstrate good problem-solving habits, including:
o Estimating solutions and recognizing unreasonable results.
o Considering a variety of approaches to a given problem, and selecting one that is appropriate.
o Interpreting solutions correctly.
· Generate and interpret symbolic, graphical, numerical, and verbal (written or oral) representations of mathematical ideas.
· Communicate mathematical ideas in written and/or oral form using appropriate mathematical language, notation, and style.
· Apply mathematical concepts, procedures, and techniques appropriate to the course.
· Recognize and apply patterns or mathematical structure.
· Utilize and integrate appropriate technology.
Competencies and Student Learning Outcomes Associated with GT-MA1 Courses - GT Pathways Competency: Quantitative Literacy
Competency in quantitative literacy represents a student’s ability to use quantifiable information and mathematical analysis to make connections and draw conclusions. Students with strong quantitative literacy skills understand and can create sophisticated arguments supported by quantitative evidence and can clearly communicate those arguments in a variety of formats (using words, tables, graphs, mathematical equations, etc.).
1. Student Learning Outcome (SLO 1): Interpret Information
· Explain information presented in mathematical forms (e.g., equations, graphs, diagrams, tables, words).
2. Student Learning Outcome (SLO 2): Represent Information
· Convert information into and between various mathematical forms (e.g., equations, graphs, diagrams, tables, words).
3. Student Learning Outcome (SLO 3): Perform Calculations
· Solve problems or equations at the appropriate course level.
· Use appropriate mathematical notation.
· Solve a variety of different problem types that involve a multi-step solution and address the validity of the results.
4. Student Learning Outcome (SLO 4): Apply and Analyze Information
· Make use of graphical objects (such as graphs of equations in two or three variables, histograms, scatterplots of bivariate data, geometrical figures, etc.) to supplement a solution to a typical problem at the appropriate level.
· Formulate, organize, and articulate solutions to theoretical and application problems at the appropriate course level.
· Make judgments based on mathematical analysis appropriate to the course level.
5. Student Learning Outcome (SLO 5): Communicate using Mathematical Forms
· Express mathematical analysis symbolically, graphically, and in written language that clarifies/justifies/summarizes reasoning (may also include oral communication).
Tentative Schedule of Class Assignments:
The following is a Tentative Schedule. We may cover more or less material each day but this will give you a guideline. I reserve the right to change the calendar as needed.
Day/Date / Course Content Covered / Assignments1 / 6.5, 6.6
2 / 6.8
3 / 6.9 /
4 / 6.10 /
5 / Chapter 6 Exam
6 / 7.1
7 / 7.2, 7.3
8 / 7.4
9 / 7.5
10 /
7.6, 7.7
11 /7.8
12 /Chapter 7 Exam
13 /8.1
14 /8.2, 8.3
15 /8.4
16 /8.5
17 /9.1, 9.2
18 /9.3
19 /9.4, 9.5
20 /9.6
21 /Chapter 8 and 9 Exam
22 /10.1
23 /10.2, 10.3
24 /10.4
25 / 11.126 /
11.2, 11.3
27 /11.4
28 /Chapter 10 and 11 Exam
29 /Review for Final
30 /Final Exam
Suggested timeline for 15 and 8 week courses:
15 week
Day / Assignments1 / Syllabus, 6.5, 6.6
2 / 6.8
3 / 6.9
4 / 6.10
5 / Chapter 6 Exam
6 / 7.1
7 / 7.2, 7.3
8 / 7.4
9 / 7.5
10 /
7.6, 7.7
11 /7.8
12 /Chapter 7 Exam
13 /8.1
14 /8.2, 8.3
15 /8.4
16 /8.5
17 /9.1, 9.2
18 /9.3
19 /9.4, 9.5
20 /9.6
21 /Chapter 8 and 9 Exam
22 /10.1
23 /10.2, 10.3
24 /10.4
25 / 11.126 /
11.2, 11.3
27 /11.4
28 /Chapter 10 and 11 Exam
29 /Review for Final
30 /Final Exam