Quiz &7: Thursday 02/27/24: 4 problems 25 minutes.Triple integrals. 1 problem for changing the order of integration. 2 problems for integration in spherical coordinates. 1 problem for integrtion in cylindrical coordinates.
I added pages 104-154 to Calculus 3, Part 2 (I removed the old page 104). Now the notes cover all material needed for the Second Midterm Exam.
Videos for February 21 and 23.
Practice Exams.
Textbook: J. Stewart, Essential Calculus. Early Transcendentals. 2nd edition. The 1st or any other edition edition is also OK.
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
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
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).
Quiz #1: Thursday 01/25/24. 4 problems 20 minutes. Vectors, dot product, cross product, scalar and vector projections. Area of a trangle and paralleogram, volume of a parallelpiped, equations of lines and planes.
Quiz#2 Thursday 02/01/24: 4 problems 20 minutes. Classification of surfaces, tangent lines to the curves, length of the curves, curvature.
Quiz#3 Thursday 02/08/24: 4 problems 20 minutes. Velocity and acceleration. Functions of several variables. Partial derivatives.
Quiz #4 Thursday 02/15/24: 4 problems 30 minutes. Partial derivatives, tangent planes, linear approximation, chain rule, implicit differentiation, directional derivative, maximizing the directional derivative. You need to know what a harmonic function is.
Quiz #5: Thursday 02/29/24: 4 problems 30 minutes. Integration on rectangles and domains of type I and II. Changing the order of integration. The quiz is based on the material covered by videos.
Quiz #6: Thursday 03/07/24: 4 problems 25 minutes. Double integral. Mosty integration in polar coordinates.
Quiz #7: Thursday 02/27/24: 4 problems 25 minutes.Triple integrals. 1 problem for changing the order of integration. 2 problems for integration in spherical coordinates. 1 problem for integrtion in cylindrical coordinates.