Most of the announcements and course information will be available on this website. The use of Canvas will be reduced to minimum.
Wednesday 10:15-11:15 and Friday 1:15-2:15
Textbook: J. Stewart, Essential Calculus. Early Transcendentals. 2nd edition. The 1st or any other edition edition is also OK.
All students who register for this course are automatically enrolled in the Redshelf Inclusive Access program (though Canvas) and will be charged on their Pitt student bill unless they opt out before the end of the add/drop period.
This program provides students with discounted access to the digital version of the textbook and the publisher’s WebAssign content, but only the textbook itself will be required. If you already have a copy of the textbook or would prefer to purchase it from a different source (for example, you may be able to find a used copy of the first or second edition at a lower cost), then you should opt out of Inclusive Access. You will be able to opt out by clicking the RedShelf Inclusive Access link in your course on Canvas. More detailed instructions for opting out can be found here. If you do not opt out of Inclusive Access, then you will be able to access the digital textbook through a link to WebAssign in Canvas.
My notes: I will carefully follow my notes that are based on the textbook.
Lecture notes 1: Calculus 3, Part 1
Lecture notes 2: Calculus 3, Part 2
Lecture notes 3: Calculus 3, Part 3
Kepler's Law is on pages 24-30 in: Differential Geometry
Practice Exams.
Practice Exam I (Problem 2 is not covered by current syllabus)
Practice Exam 1a (Problem 2(b) is not covered by current syllabus)
Practice Exam 1b (Problem 2 is not covered by current syllabus)
Paset Exam I contains problems about limits of functions. Such problems will not be onlour exam, because this material is no longer in the syllabus.
Grading scale:
You are not allowed to use calculators on quizzes and exams, although problems in LON CAPA often require calculator. On the exams and quizzes you do not have to simplify the final answer or find the decimal approximation. I want to see that you know how to solve the problems and simplification of the answer is irrelevant here.
All graded homework will be done online, using the LON CAPA system. Please, do not neglect it! Although it counts for 10% only, in many cases these 10% decides whether you will get A or B. It also shows your attitude which is importnant in the borderline cases.
Quizzes
Quiz #1 Thursday, September 11. 8 problems 50 minutes: volume of parallelepiped, equations of lines and planes, vector projection and scalar projection, classification of surfaces (will require completing the squares), tangent line to a curve, length of a curve, curvature.
Quiz #2 Thursday, September 18. 4 problems 20 minutes: (1) Acceleration, velocity, and determination of position. (2) Determining the domain of a function 𝑓(𝑥,𝑦) including a sketch of the domain (the sketches will be simple and not require advanced drawing skills). (3) Computing the area of a triangle given its vertices. (4) Calculating curvature.
Quiz#3, Thursday September 25. 4 problems 25 minutes. Topics (not necessarily all of them): Implicit differentiation, tangent plane to the graph, tangent plane to an implicitly defined function, higher order derivatives, harmonic functions, chain rule (will be discussed on Monday September 22).
Quiz #4 Thursday, October 2. 4 problems 30 minutes. The quiz coveres material from pages 224-272 in my notes. Three problems will be taken verbatim from the notes. One problem about the direction of the maximal increase/decrease of a function is new.
Quiz#5, Thursday October 16th . 2 problems, 20 minutes. The problems are related to the Lagrange multipliers, and they are taken verbatim from examples in my notes on pages 321-344 (Part I).
Quizzes will be during recitations on Thursdays. No makup quizzes, but the lowest two scores from the quizzes will be dropped (that allows you to miss two quizzes without penalty).