Office: Student Commons Bldg Class Meeting Days: Mondays & Wednesdays. Phone: Class Meeting Times: 10:30 am 12:20 pm

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1 MATH : Calculus I Department of Mathematical and Statistical Sciences College of Liberal Arts and Sciences, University of Colorado Denver COURSE SYLLABUS Instructor: Ghodratollah Aalipour Term: Fall 2015 Office: Student Commons Bldg Class Meeting Days: Mondays & Wednesdays Phone: Class Meeting Times: 10:30 am 12:20 pm ghodrat.aalipour@ucdenver.edu Location: NC-1321 Website: Canvas- Recitation: M/W 9:30 am 10:20 am Office Hours: M/W 1:00 pm 2:00 pm Location: NC-1321 M/W 5:00 pm 6:00 pm Course Captain: Gary Olson; gary.olson@ucdenver.edu; ; Student Commons Bldg Associate Chair: Dr. Stephen Billups; Stephen.Billups@ucdenver.edu; ; Student Commons Bldg COURSE OVERVIEW I. Description First course of a three-semester sequence (MATH 1401, 2411, 2421) in calculus. Topics covered include limits, derivatives, applications of derivatives, and the definite integral. This course fulfills the university s undergraduate CORE requirement. Note: No co-credit with MATH 1080 Semester Hours: 4 II. Course Prerequisites MATH 1120 or 1130 and satisfactory score on the placement exam III. Required Texts and Materials Calculus: Early Transcendentals, Briggs/Cochrane, First edition, Addison Wesley (Pearson Publishing). Option 1 - $120: Option 2 - $95: Textbook plus MyMathLab Access Code E-book plus MyMathLab Access Code To access MyMathLab go to Under the Register tab click on Student. Next click on the OK! Register Now button. You will need your University address (which you check regularly), the Course ID which is: aalipour72131and either a student access code or a valid credit card. If you purchased the text new at the bookstore it will have a student access code which gives you access to the homework software (I would recommend buying the actual textbook if you plan on taking Calc II and Calc III in addition to this course because you will use the same text for those). If you use a credit card to purchase the software it comes with an ebook which you can use for the class. IV. Course Schedule

2 Week Day Date Sections Topic/Reading 1 Monday 8/17/15 Syllabus & Review Wednesday 8/19/ & 2.2 The Idea of Limits; Definitions of Limits 2 Monday 8/24/ Techniques for Computing Limits Wednesday 8/26/ & 2.5 Infinite Limits 3 Monday 8/31/ & 2.7 Continuity; Precise Definitions of Limits Wednesday 9/2/ & 3.2 Introducing the Derivative; Working with Derivatives 4 Monday 9/7/15 Labor Day Wednesday 9/9/ Rules of Differentiation 5 Monday 9/14/ The Product and Quotient Rules; Review Wednesday 9/16/15 Exam #1 6 Monday 9/21/ & 3.6 The Derivatives of Trigonometric Functions; Derivatives as Rates of Change Wednesday 9/23/ Chain Rule 7 Monday 9/28/ Implicit Differentiation Wednesday 9/30/ Derivatives of Logarithmic and Exponential Functions 8 Monday 10/5/ Derivatives of Inverse Trigonometric Functions Wednesday 10/7/ Related Rates 9 Monday 10/12/ Maxima and Minima Wednesday 10/14/15 Exam #2 10 Monday 10/19/ What Derivatives Tell Us Wednesday 10/21/ Graphing Functions 11 Monday 10/26/ Optimization Problems Wednesday 10/28/15 4.5, 4.6 Linear Approximations & Differentials; Mean Value Theorem 12 Monday 11/2/ L Hopital s Rule Wednesday 11/4/ & 4.9 Newton s Method & Antiderivatives 13 Monday 11/9/ Approximating Areas Under Curves & Review Wednesday 11/11/15 Exam #3 14 Monday 11/16/ Definite Integrals Wednesday 11/18/ & 5.4 Fundamental Theorem of Calculus & Working with Integrals Fall Break Nov th No Class 15 Monday 11/30/ Substitution Rule Wednesday 12/2/15 Review for Final Exam 16 Saturday 12/5/15 9:00-12:00 Uniform Final Examination V. Assignments *Any changes made to assignment due dates will be announced in class and posted on Canvas

3 Exams: There will be three in-class exams each worth 15% of your grade each plus a comprehensive uniform common final exam worth 25% of your grade. Calculators and notes of any kind will not be permitted on exams. Exam #1: Exam #2: Exam #3: Final Exam: Wednesday September 16 th Wednesday October 14 th Wednesday November 11 th Saturday December 5 th 9:00-Noon Homework Assignments: 1. Online Homework (10%): This will be assigned over MyMathLab (CourseCompass) and will be automatically graded by the computer. With this software you have unlimited attempts at a problem so you have every possibility of attaining a 100% on each of these assignments! Late assignments will be accepted over MyMathLab up to one week following the due date but will accrue a 20% penalty if they are turned in late (this penalty will be automatically induced by the program if you work on the assignment after the deadlines). There will be approximately 14 online assignments and your 2 lowest scores will be dropped. Online assignments are due each Tuesday by 11:59 P.M. 2. Written Homework (10%): The second portion of the assignment will be a homework over a short set of problems from the textbook that I assign at each week. This weekly homework will give you an opportunity to write up problems and receive feedback on your final answers before the exams. Homework can only be made up for excused absences (verified with appropriate documentation) and must be made up by the deadline which is last session of the following week. No assignments will be accepted or graded more than one week after the original due date. There will be approximately homework sets throughout the semester and your lowest 2 scores will be dropped. You are able to work together in doing homework assignments, however, copying someone s assignments will not be tolerated. If this occurs, all students involved will receive no credit on the assignment. Calculus Application Project: This project will be assigned during the semester and will be in addition to the homework assignments. This problem will require the use of a graphing calculator or the program DERIVE and an extensive formal, typed write-up. You will have approximately two weeks to complete the project and it will be counted in your homework grade. Late projects will not be accepted. This project will incorporate CORE Learning Outcome #4 - Modeling. Recitation Attendance or Exam Averages: 10% of your final grade will be determined by the higher of the following: A) Recitation Attendance Grade B) Exam Grade Your recitation grade will be calculated for three different intervals. (1/3) of the points will be allocated based upon your attendance at recitation previous to Exam 1 or your Exam 1 grade (whichever is higher), (1/3) of your points for attendance at recitation between Exam 1 and Exam 2 or Exam 2 grade (whichever is higher), and (1/3) for attendance at recitation between Exam 2 and Exam 3 or Exam 3 grade (whichever is higher). Notice that this grading policy allows flexibility for your recitation attendance. VI. Grading Summary In-Class Exams: 45% Final Exam: 25% Homework Assignments/App Project 20% Recitation Attendance/Exam Average 10% Grading Scale: A: % A-: % B+: % B: %

4 B-: % C+: % C: % D % F: Below 55% VII. Grade Dissemination Graded assignments and tests will be returned during the following class meeting. Course grades will be updated in the Canvas gradebook weekly, which can be found at CU Denver utilizes web grading which is accessed through UCDAccess. Web grading information can be found by going to VIII. Course Goals and Learning Objectives CORE Learning Outcomes 1. Calculate: Accurately and logically manipulate a mathematical representation to attain desired information. 2. Represent: Able to translate between representations to clearly represent information and gain insight. Representations may be expressed symbolically, graphically, numerically, or verbally. 3. Interpret: Draw meaningful inferences and communicate insights from mathematical representations. Mathematical representations may include statistical, graphical, algebraic, geometric, or symbolic. 4. Model: Develop and/or apply an appropriate mathematical model for a real-world problem. This can be demonstrated by e.g. developing a model, choosing an appropriate model from several, or explaining the primary assumptions needed to use a particular model. Course Learning Outcomes The following section lists the Learning Outcomes specific to the course (MATH 1401). Each Learning Outcome reflects one or more of the CORE Learning Outcomes. Exam 1: 15% of course grade Idea of Limits Section 2.1 Calculate average velocity and slope of a secant line segment (CORE Learning Outcome #1 Calculate) Calculate instantaneous velocity and slope of a tangent line segment (Calculate) Definition of Limits Section 2.2 Find limits from a graph (Interpret) Find limits from a table (Interpret) Find one-sided and two-sided limits graphically (Interpret) Identify jump discontinuities (Interpret) Determine situations where no limit exists (Interpret) Techniques for Computing Limits Section 2.3 Compute limits of linear and rational functions algebraically (Calculate) Infinite Limits Section 2.4 Identify when the limit of a function approaches ± graphically (Interpret) Identify vertical asymptotes of a function from the equation or graph (Interpret) Limits at Infinity Section 2.5 Students will be able to Identify horizontal asymptotes of a function from the equation or graph (Interpret) Determine left and right end behaviors of functions, including transcendental (Interpret) Continuity Section 2.6 Use the Intermediate Value Theorem to show an equation has a solution over a given interval (Interpret) Introducing the Derivative Section 3.1 Use the limit definition of a derivative to find the slope of a tangent line (Calculate) Draw the graph of () given () and vice versa (Represent) Working with Derivatives Section 3.2

5 Sketch the graph of the derivative from the graph of a function (Interpret & Represent) Rules for Differentiation Section 3.3 Compute derivatives using the Constant, Power, Constant Multiple, and Sum/Difference Rules (Calculate) Compute the derivative of (Calculate) Compute higher order derivatives (Calculate) Product & Quotient Rules Section 3.4 Compute derivatives using the Product Rule, Quotient Rule, and Power Rule to Negative Integers (Calculate) Derivatives of Trigonometric Functions Section 3.5 Compute derivatives of trigonometric functions (Calculate) Exam 2 15% of course grade Derivatives as Rates of Change Section 3.6 Students will be able to Determine average velocity, instantaneous velocity, speed functions, and acceleration (Calculate) Chain Rule Section 3.7 Compute derivatives using the Chain Rule (Calculate) Implicit Differentiation Section 3.8 Compute derivatives using Implicit Differentiation and the Power Rule for rational exponents (Calculate) Derivatives of Logarithmic and Exponential Functions Section 3.9 Compute derivatives using Logarithmic Differentiation (Calculate) Derivatives of Inverse Trigonometric Functions Section 3.10 Compute derivatives of Inverse Trigonometric Functions (Calculate) Related Rates Section 3.11 Solve Related Rates problems (Model) Maxima and Minima Section 4.1 Find Local and Absolute Extrema from a graph or an equation (Interpret) Determine Critical Points from a graph or an equation (Interpret) What Derivatives Tell Us 4.2 Identify open intervals where () increases or decreases (Interpret) Use the First Derivative Test to identify local extrema (Interpret) Identify Inflection Points and Concavity for a function (Interpret) Use the Second Derivative Test to identify local extrema (Interpret) Graphing Functions (Curve Sketching) Section 4.3 Graph functions using curve sketching techniques (Represent) Exam 3 15% of course grade Optimization Section 4.4 Optimize the value of an objective function subject to the given constraints (Model)

6 Linear Approximation and Differentials Section 4.5 Find the linear approximation to at = (Calculate) Use linear approximation to estimate function values and change (Interpret) Mean Value Theorem Section 4.6 Determine whether Rolle s Theorem and/or the Mean Value Theorem hold for a function on a given interval (Interpret) L Hopital s Rule Section 4.7 Identify limits which are of the indeterminate forms:,, 1, 0, (Interpret) Use L Hopital s Rule to calculate limits (Calculate) Newton s Method Section 4.8 Use Newton s Method to approximate the root(s) of a function (Calculate) Use Newton s Method to approximate the intersection points of a pair of curves (Calculate) Antiderivatives Section 4.9 Find antiderivatives of trigonometric functions and inverses and use the Power Rule, Constant Multiple Rule and Sum Rules to evaluate indefinite integrals (Calculate) Solve Initial Value problems involving velocity and position functions (Calculate) Approximating Areas Under Curves Section 5.1 Find area under a velocity curve and approximate displacement and areas by using Riemann sums (Represent) Definite Integrals Section 5.2 Approximate net area using Riemann sums (Represent) Reverse limits and evaluate definite integrals using limits in Riemann sums (Calculate) Fundamental Theorem of Calculus Section 5.3 Evaluate integrals using the Fundamental Theorem of Calculus (Calculate) Working with Integrals Section 5.4 Calculate the average value of an integrable function over a closed interval (Calculate) Substitution Rule Section 5.5 Evaluate integrals using Substitution (Calculate) COURSE PROCEDURES IX. Course Policies - Grades

7 Attendance Policy: Your course grade will not be dependent upon class attendance, however, class lectures are a critical part of the learning process. Students who attend class on a regular basis tend to feel more prepared for assessments and hence perform better in the course. Please see Section VI: Assignments for information on how recitation attendance can factor into your final grade. CU Denver Student Attendance and Absences Policy can be found at: Late Work Policy: Online assignments may be submitted up to one week after the due date with a 20% penalty. Extra Credit Policy: Extra credit will not be offered, with the exception of bonus problems given on exams. Exam bonuses will be given at the discretion of the instructor and will be labeled as such. Assessment Make-up Policy: Homework Must be made up within one week of the actual due date. Late written homeworks are subject to 30% penalty and must be delivered within 48 hours after the deadline. Exams - If circumstances arise that prevent you from attending an exam, please contact me ahead of time as I will be much more lenient. Unexplained absences will require hard evidence such as a death certificate, hospital paperwork, etc. Final Exam The final exam will be Saturday, Dec. 5 th, 2015 during the department-wide Uniform Finals Day. Alternate final exam dates/times are offered in extremely rare circumstances and must be approved by the course captain in advance with documentation provided. Conflicts due to travel plans and work schedules will not be accommodated. Incomplete Policy: Incomplete grades (I) are not granted for low academic performance. To be eligible for an Incomplete grade, students must (1) successfully complete at least 75 percent of the course, (2) have special circumstances (verification may be required) that preclude the student from attending class and completing graded assignments, and (3) make arrangements to complete missing assignments with the original instructor using a CLAS Course Completion agreement. X. Course Policies Technology and Media Students can communicate with me regarding attendance, meeting arrangements, grades, and/or questions regarding the course content, assignments, and due dates. You may also send me a message via Canvas. I will check by my CU Denver and Canvas daily, excluding weekends. MyMathLab Technical Difficulties Please contact Pearson Support. You can find a link on In most cases I will not be able to help with these types of issues, but feel free to me so that I can be more lenient with due dates if necessary. Computing Technology - During the semester, we will explore calculus graphically, numerically, and algebraically. This course will utilize the TI-89 calculator, with graphics capability and a Computer Algebra System, to facilitate the study of calculus. Although this calculator is not a requirement, it will be used in class on a daily basis, and will help in the learning of calculus. All students are required to have a access to a Computer Algebra System of some sort, this could be the TI-89, or the program DERIVE which is on the computers in the MERC lab. Also, versions of DERIVE for your PC at home can be obtained in the MERC lab (NC 4015). The best advice is to become familiar with a calculator (such as the TI-89) or DERIVE as soon as possible. It will be a worthwhile investment, not only for this course, but for all of your future work. XI. Getting Help

8 Instructor Office Hours/By Appointment Feel free to see me with questions not answered during lecture, additional explanation, or homework assistance. MERC Lab There are Teaching Assistants available to answer your questions in the MERC lab in the North Classroom Building (NC) room This is an excellent resource! Check with the lab to see their schedule. Try to form a study group to study and learn with; it really works for some people! Realize that there are many ways of learning and a study group may be helpful for you. Academic Success and Advising Center Helps new freshmen and transfer students through academic advising, schedule planning, time management, personal support and referrals to other on-campus resources. Career Center The center assists and guides students with understanding and leveraging their skills, personality, values and interests as they choose an academic major and determine a career direction. Services include job search and strategies, resume development and writing, practice interviews and salary negotiation. Employers may benefit from online job posting, resume referrals, on-campus interviewing, career fairs, employer presentations, and networking events. Disability Resources and Services Office DRS serves the needs of a large and diverse community of students with disabilities, providing accommodations including: assistance in identifying volunteer note-takers, alternative testing, textbooks in alternate format, priority registration, interpreters and referral to the Access center. First-Year Experience The First Year Experience (FYE) is a comprehensive approach to ensure first year students make a successful transition to college. Office of Undergraduate Experiences Learning Resource Center The Center provides individual and group tutoring, Supplemental Instruction (SI), study skills workshops and ESL support. UCD students are eligible for 1 hour of free tutoring per week. Scholarship / Resource Office Information about scholarships and guidance on the scholarship application process. The University of Colorado Denver provides many other services and resources. See XII. Academic Honesty Students are required to know, understand, and comply with the CU Denver Academic Dishonesty Policy as detailed in the Catalog and on the CLAS website. Academic dishonesty consists of plagiarism, cheating, fabrication and falsification, multiple submission of the same work, misuse of academic materials, and complicity in academic dishonesty. If you are not familiar with the definitions of these offenses, go to This course assumes your knowledge of these policies and definitions. Failure to adhere to them can result in possible penalties ranging from failure of this course to dismissal from the University; so, be informed and be careful. If this is unclear to you, ask me. The College of Liberal Arts and Sciences (CLAS) Ethics Bylaws allow the instructor to decide how to respond to an ethics violation, whether by lowering the assignment grade, lowering the course grade, and/or filing charges against the student with the Academic Ethics Committee. Violating the Academic Honor Code can lead to expulsion from the University. Definition of Academic Dishonesty Students are expected to know, understand, and comply with the ethical standards of the University. In addition, students have an obligation to inform the appropriate official of any acts of academic dishonesty by other students of the University. Academic dishonesty is defined as a student's use of unauthorized assistance with intent to deceive an instructor or other such person who may be assigned to evaluate the student s work in meeting course and degree requirements. Examples of academic dishonesty include, but are not limited to, the following:

9 Plagiarism: Plagiarism is the use of another person s distinctive ideas or words without acknowledgment. The incorporation of another person s work into one s own requires appropriate identification and acknowledgment, regardless of the means of appropriation. The following are considered to be forms of plagiarism when the source is not noted: 1. Word-for-word copying of another person's ideas or words. 2. The mosaic (the interspersing of one s own words here and there while, in essence, copying another's work). 3. The paraphrase (the rewriting of another s work, yet still using their fundamental idea or theory). 4. Fabrication of references (inventing or counterfeiting sources). 5. Submission of another s work as one's own. 6. Neglecting quotation marks on material that is otherwise acknowledged. Acknowledgment is not necessary when the material used is common knowledge. Cheating: Cheating involves the possession, communication, or use of information, materials, notes, study aids or other devices not authorized by the instructor in an academic exercise, or communication with another person during such an exercise. Examples of cheating are: 1. Copying from another's paper or receiving unauthorized assistance from another during an academic exercise or in the submission of academic material. 2. Using a calculator when its use has been disallowed. 3. Collaborating with another student or students during an academic exercise without the consent of the instructor. Fabrication and Falsification: Fabrication involves inventing or counterfeiting information, i.e., creating results not obtained in a study or laboratory experiment. Falsification, on the other hand, involves deliberately alternating or changing results to suit one s needs in an experiment or other academic exercise. Multiple Submissions: This is the submission of academic work for which academic credit has already been earned, when such submission is made without instructor authorization. Misuse of Academic Materials: The misuse of academic materials includes, but is not limited to, the following: 1. Stealing or destroying library or reference materials or computer programs. 2. Stealing or destroying another student s notes or materials, or having such materials in one s possession without the owner s permission. 3. Receiving assistance in locating or using sources of information in an assignment when such assistance has been forbidden by the instructor. 4. Illegitimate possession, disposition, or use of examinations or answer keys to examinations. 5. Unauthorized alteration, forgery, or falsification. 6. Unauthorized sale or purchase of examinations, papers, or assignments. Complicity in Academic Dishonesty: Complicity involves knowingly contributing to another s acts of academic dishonesty. Student Code of Conduct: As members of the University community, students are expected to uphold university standards, which include abiding by state civil and criminal laws and all University policies and standards of conduct. These standards are outlined in the student code of conduct which can be found at:

10 XIII. Important Dates to Remember Fall 2015 CLAS Academic Policies The following policies, procedures and deadlines pertain to all students taking classes in the College of Liberal Arts and Sciences (CLAS). They are aligned with the Official University Academic Calendar: Schedule verification: It is each student s responsibility to verify that their official registration and schedule of classes is correct in their CU Denver PassportID portal before classes begin and by the university census date. Failure to verify schedule accuracy is not sufficient reason to justify late adds or drops. Access to a course through Canvas is not evidence of official enrollment. Students must activate and regularly check their official CU Denver account for university related messages. Administrative Drops: Students may be administratively dropped from a class if they never attended or stopped attending, if the course syllabus indicates that the instructor will do this. Students may be administratively dropped if they do not meet the requisites for the course as detailed in course descriptions. Late adds and late withdrawals require a written petition, verifiable documentation and dean s approval. CLAS undergraduate students should visit the CLAS advising office (NC1030) and graduate students should visit the Graduate School (12 th floor LSC) to learn more about the petition process and what they need to do to qualify for dean s approval. Waitlists: The Office of the Registrar notifies students at their CU account if they are added to a class from a waitlist. Students are not automatically dropped from a class if they never attended, stopped attending, or do not make tuition payments. After waitlists are purged, students must follow late add procedures to be enrolled in a course. Students will have access to Canvas when they are on a waitlist, but this does not mean that a student is enrolled or guaranteed a seat in the course. Students must obtain instructor permission to override a waitlist and this is only possible when there is physical space available in a classroom, according to fire code. Important Dates and Deadlines All dates and deadlines are in Mountain Standard Time (MST). August 17, 2015: First day of classes. August 23, 2015: Last day to add or waitlist a class using the CU Denver PassportID portal. August 24, 2015: Last day to drop a class without a $100 drop charge--this includes section changes. August 24, 2015: All waitlists will be eliminated today. Please check your schedule in your CU Denver PassportID portal to confirm in which classes you are officially enrolled. August 25-September 2, 2015, 5 PM: Students must obtain instructor permission to add a course using the Instructor Permission to Enroll Form and bring it to the CLAS Dean s Office (NC 5014) or have their instructor it to CLAS.Courses@ucdenver.edu. September 2, 2015: Census date. o 9/2/15, 5 PM: Last day to add full term classes with instructor approval. Adding a class after this date (late add) requires a written petition, verifiable documentation and dean s approval. After this date, you will be charged the full tuition amount for additional classes added College Opportunity Fund hours will not be deducted from eligible student s lifetime hours. o 9/2/15, 5 PM: Last day to drop full term classes with a financial adjustment. After this date withdrawing from classes require instructor signature approval and will appear on your transcript with a grade of W. After this date, a complete withdrawal (dropping all classes) from the term will require the signature of the dean and no tuition adjustment will be made. Signature of Financial Aid Office is required if you have accepted financial aid (loans, grants or scholarships). o 9/2/15, 5 PM: Last day to apply for Fall 2015 graduation. Undergraduates must make an appointment and see their academic advisor before this date to apply. Graduate students must complete the Intent to Graduate and Candidate for Degree forms. o 9/2/15, 5 PM: Last day to request No Credit or Pass/Fail grade for a class using a schedule adjustment form. o 9/2/15, 5 PM: Last day to petition for a reduction in Ph.D. dissertation hours. September 3-October 26, 2015, 5 PM: Students must obtain instructor permission to withdraw from a course using the Schedule Adjustment Form and must bring the signed form to the Office of the Registrar. To add a course, students must petition through undergraduate advising or the Graduate School as appropriate. September 7, 2015: Labor Day observed--no classes, campus closed. October 27, 2015: The Office of the Registrar now requires both the instructor s signature and a dean s signature on a Schedule Adjustment Form to withdraw from a class. Students should consult their home college advising office for details. November 9, 2015, 5 PM: Deadline for undergraduate CLAS students to withdraw from a course without filing a petition. Contact CLAS Advising. November 23-29, 2015: Fall Break no classes, campus open. November 26, 2015: Thanksgiving Holiday observed no classes, campus closed. December 12, 2015: End of semester. December 21, 2015: Final grades available on CU Denver PassportID portal and on transcripts (tentative) Please contact an academic advisor if you have questions or concerns.

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