I n s t r u c t o r :
E-mail: vadim@wpi.edu Phone: x5495 Office: SH104C E-mail: hechen@wpi.edu Juliette Spitaels (C04) E-mail: jspitaels@wpi.edu Office: Undergrad Lounge (SH014) |
Office hours:
Thu: 3:00-4:00 pm; Fri: 2:00-3:00 pm; and by appointment Thur: 2:00-3:00 pm (C01) Tue: 1:00-2:00 pm (C04) Thur: 1:00-2:00 pm (C04) and by appointment |
---|
In this course, you will learn the basics of many diverse elements of Calculus: indeterminate forms, infinite sequences and series, polar coordinates, vectors, etc. By the end of the term, you'll be able to perform vector operations, integrate functions in polar coordinates, manipulate with improper integrals, Taylor series and polynomials, lines & planes in space.
General Information
Main Topics:
|
Grading Scheme:Maple Labs (15%, 5 x 3% each), |
---|
Quizzes, labs, and tests have their own 30, 100 and 100 point scores respectively. The perfect scores correspond to the presented percentages. Point ranges derived to percent for grades are: A: 100% - 90%; B: 90% - 80%; C: 80% - 70%; NR: < 70%.
Lecture MeetingsThe lectures are delivered as concise reviews of the course topics and contain direct and explicit instructions for your practical work. (Reading corresponding sections of the textbook after the lectures and analysis of the related illustrative examples is a good learning practice of a serious and successful student.)
The lectures are held as smartphone-free events (except Tuesday, March 3 - details TBA).
ConferencesConference meetings (see Schedule of Events) are held to facilitate your learning through practical work and help you with homework. The conferences are run by the course TA Hui-Xin (Emily) Chen (C01) and PLA Juliette Spitaels (C04).
Computer LabsThe labs are arranged to provide you with more knowledge about Maple Computer Algebra System and its use in the problems related to the course subjects. There are 5 meetings in the Computer Lab (SH003) on Wednesdays and Thursdays:
Lab 1: Improper Integrals Lab 2: Geometric Series Lab 3: Convergence Tests Lab 4: Parametric Equations Lab 5: Polar Coordinates |
---|
Each lab should be completed and turned in during the same lab period in which it is introduced. The work in the Lab is done under the guidance of the Maple Instructor Assistants on this course.
Home Work & QuizzesPractice problems are given for each topic covered - assigned problems will be listed in the Homework Assignments section. Homework is not handed in, so each student should take a personal responsibility for doing sufficient study and practice. In order to understand the math, it is necessary to do, at a minimum, the assigned problems, but additional exercises for further practice are strongly recommended.
Alternatively, to evaluate your course progress, five 15-minute quizzes are offered throughout the course. The quiz problems are chosen from the homework assignments made in a few preceding classes. The quizzes are held in the beginning of the lecture meetings in accordance with Schedule of Events.
Three Tests cover approximately equal portions of the course. Each Test is scheduled for a class following the lecture consideration of the topics covered in several preceding classes; therefore, the last Test is not comprehensive.
All three Tests are open-book/open-notes events. No laptops, gadgets, tablets, etc. Calculators are NOT allowed and may NOT be needed - there will be no tasks requiring numerical calculations beyond the elementary level.The web Test Preview should give you clear ideas about the test contents; corresponding information, instructions, and sample problems are posted two days before the event. |
---|
Special Test Preview Help Sessions (run by the TA and PLA) take place on the days preceding the Tests (see Schedule of Events).
Bonus Points and Other PoliciesThere are opportunities to earn bonus points. Each Test includes a bonus problem. Also, you may get bonus points for your excellent work in the quizzes at the instructor's discretion.
IMPORTANT: No make up are given without a legitimate reason. That could be an illness or other unavoidable emergency which you can document.
Additional Resources & HelpThe PLAs hold their Office Hours which can be used for individual discussions/interactions aiming to assist in learning and understanding the meanings of the course's conceptual and practical points.
The Mathematics Tutoring Center (SH002) is available for any WPI student taking a math course; it thus could be an invaluable source of additional help with troubles and issues in this course.
All PLAs have their own work schedules with the Tutoring Center and could be conveniently seen there beyond their course Office Hours.
MASHThe Academic Resources Center also holds Math and Science Help (MASH) for MA1023. The MA1023 MASH Leader this term is William Aaron, and he is available as follows:
If you need course adaptations or accommodations because of a disability, or if you have medical information that may impact your performance or participation in this course, please make an appointment with your instructor as soon as possible. If you have approved accommodations, request your accommodation letters on-line through the Office of Disability Services' Student Portal.
If you have not already done so, students with disabilities who need to utilize accommodations in this class are encouraged to contact the Office of Disability Services (ODS) as soon as possible to ensure that such accommodations are implemented in a timely fashion. This office can be contacted via email (DisabilityServices@wpi.edu), via phone: (508) 831-4908, or in person: 124 Daniels Hall.
Academic DishonestyWPI's Academic Honesty policy, definitions and examples of academic dishonesty, and other info on the subject (including explanations of the steps that will be taken if students are suspected of violating the policy) can be found at https://www.wpi.edu/about/policies/academic-integrity/dishonesty; each student is expected to familiarize him/herself with this info. All acts of fabrication, plagiarism, cheating, and facilitation will be prosecuted according to the university's policy. If you are ever unsure as to whether your intended actions are considered academically honest or not, please see your instructor.
Recommendations of your predecessors (i.e., of those students who took my MA1023 course earlier) provide you with explicit guidelines how to survive in this course.
Week 1: |
Indeterminate Forms & Improper Integrals: Indeterminate forms and L'Hopital's Rule (4.5). Improper integrals (8.8). |
|
---|---|---|
Week 2: |
Sequences & Series: Infinite sequences (10.1). Infinite series (10.2). The Integral Test (10.3). Comparison Tests (10.4). |
|
Week 3: |
Sequences & Series (cont'd): Absolute convergence (10.5). Conditional convergence (10.6). Power series (10.7). |
|
Week 4: |
Sequences & Series (cont'd): Taylor and Maclaurin series (10.8). Convergence of Taylor series (10.9). Parametric Curves & Polar Coordinates: Parametric curves (11.1). Computation with parametric curves (11.2). |
|
Week 5: |
Parametric Curves & Polar Coordinates (cont'd): Polar coordinates (11.3, 11.4). Areas and lengths in polar coordinates (11.5). |
|
Week 6: |
Vectors, Lines, Planes, Curves: 3D coordinate system (12.1). Vectors in the plane (12.2). Dot product (12.3). Cross product (12.4). |
|
Week 7: |
Vectors, Lines, Planes, Curves (cont'd): Lines and planes in space (12.5). Curves in space (13.1). Vector functions (13.2). Arc length in space (13.3). |
NB: No class & conference on Fri, Mar 6 |
[ Department of Mathematical Sciences ] | [ Back to Vadim Yakovlev's Prof Page ] | [ Back to Vadim Yakovlev's Calculus Page ] |
---|