Professor: Kathy Merrill
Office: TSC 206F, 227-8216
Email: kmerrill@coloradocollege.edu
Office Hours: M-Th 2:00-3:00; F 1:30-2:30.
Class Meetings: Class will meet from 9:15-11:45 Mon.-Fri. in TSC 223. Six quizzes, which are designed to take 20-30 minutes each, will be available after class on specified days, and due by 3PM. You should not pick up the quiz until you are ready to complete it in one sitting.
Optional problem sessions will meet from 1:00-2:00 Mon.-Thurs. in TSC 223.
Text: Calculus (Early Transcendentals), 3rd edition by Jon Rogawski and Colin Adams.
Course website: http://faculty1.coloradocollege.edu/~kmerrill /ma204/index.html
You should check the website regularly for assignment details and schedule updates.
Course Description: Calculus 3 extends the techniques of Calculus to new types of functions: infinite series, functions of more than one variable, vector-valued functions, functions described in terms of different coordinate systems, and functions and vector fields over curves and surfaces. If you took Calculus 2 at a different school, you have probably already seen a little of the first type of function; if you took it at Colorado College, you have already seen a little of the second type. During the first week, we will study both of these first two types so that you can review what you know and learn about what you have not yet studied.
Grading: Daily homework assignments will be divided into two pieces: routine practice problems (not to be turned in) to help you prepare for the quizzes and class discussion, and slightly more complicated problems that you will turn in twice each week. Both types of assignments can be found on the course web page. The turned in homework will count 25% of your grade, and the quizzes will count 20%. You are expected to attend class daily, and participate actively in discussions and activities (10% of your grade). Finally, we will have two larger exams: a midterm (20%), and a final exam (25%).
Honor Code: You can get help on the homework from me, Gautam (math paraprofessional) or from books, notes, each other and other friends. However, the final write-up must be your own; do not copy from someone else's solutions or from a solutions manual. The quizzes and exams will be closed book and closed colleague. Rules for calculator/computer use will be specified on each quiz and exam. In general, when you are tested on a newly learned algorithm, you will not be allowed to use a computer or calculator to carry it out.
Office: TSC 206F, 227-8216
Email: kmerrill@coloradocollege.edu
Office Hours: M-Th 2:00-3:00; F 1:30-2:30.
Class Meetings: Class will meet from 9:15-11:45 Mon.-Fri. in TSC 223. Six quizzes, which are designed to take 20-30 minutes each, will be available after class on specified days, and due by 3PM. You should not pick up the quiz until you are ready to complete it in one sitting.
Optional problem sessions will meet from 1:00-2:00 Mon.-Thurs. in TSC 223.
Text: Calculus (Early Transcendentals), 3rd edition by Jon Rogawski and Colin Adams.
Course website: http://faculty1.coloradocollege.edu/~kmerrill /ma204/index.html
You should check the website regularly for assignment details and schedule updates.
Course Description: Calculus 3 extends the techniques of Calculus to new types of functions: infinite series, functions of more than one variable, vector-valued functions, functions described in terms of different coordinate systems, and functions and vector fields over curves and surfaces. If you took Calculus 2 at a different school, you have probably already seen a little of the first type of function; if you took it at Colorado College, you have already seen a little of the second type. During the first week, we will study both of these first two types so that you can review what you know and learn about what you have not yet studied.
Grading: Daily homework assignments will be divided into two pieces: routine practice problems (not to be turned in) to help you prepare for the quizzes and class discussion, and slightly more complicated problems that you will turn in twice each week. Both types of assignments can be found on the course web page. The turned in homework will count 25% of your grade, and the quizzes will count 20%. You are expected to attend class daily, and participate actively in discussions and activities (10% of your grade). Finally, we will have two larger exams: a midterm (20%), and a final exam (25%).
Honor Code: You can get help on the homework from me, Gautam (math paraprofessional) or from books, notes, each other and other friends. However, the final write-up must be your own; do not copy from someone else's solutions or from a solutions manual. The quizzes and exams will be closed book and closed colleague. Rules for calculator/computer use will be specified on each quiz and exam. In general, when you are tested on a newly learned algorithm, you will not be allowed to use a computer or calculator to carry it out.
Tentative
Schedule:
| Mon. 4/18 |
Sequences and series; Zeno's paradox (related to geometric series) Vectors, Lines |
10.1-10.2 (skip 10.1 Example 3); 12.1-12.2 |
| Tues. 4/19 |
Comparison and integral tests,
Absolute convergence Dot and Cross Products Quiz 1 on Sections 10.1-10.2, 12.1-12.2 |
10.3, 10.4 p543; 12.3-12.4 (light on 10.4) |
| Wed. 4/20 |
Conditional convergence, Ratio
and root tests Planes HW 1 due at 4PM |
10.4-10.5; 12.5 |
| Thurs. 4/21 |
Power series, Taylor series Multivariable functions, partial derivatives Quiz 2 on Sections 10.3-10.5, 12.3-12.5 |
10.6-10.7; 14.1-14.3 (light on 14.1-14.2) |
| Fri. 4/22 |
e Gradient, Tangent plane, Directional derivatives, Optimization Computer Lab during second half of class Intro to Mathematica You can download Mathematica for free. HW 2 due at 4PM |
Khan
video Math forum article 14.4, 14.5, 14.7 Mathematica notebooks are available on Canvas page |
| Mon. 4/25 |
Parametric equations and vector
valued functions Quiz 3 on Sections 10.6-10.7, 14.1-14.5 |
11.1, 13.1, 14.6 |
| Tues. 4/26 |
Calculus of vector valued
functions Mathematica lab due at 4PM. |
13.2-13.4 |
| Wed. 4/27 |
Motion in Space HW3 due at 4PM Midterm Review Don't worry about 71--we have not discussed examples like this one. Midterm Review even answers |
13.4-13.5 |
| Thurs. 4/28 |
Midterm exam 8:30AM--3PM Midterm answers |
|
| Fri. 4/29 |
Double Integrals |
15.1-15.2 |
| Mon. 5/2 |
Polar, cylindrical and spherical
coordinates Quiz 4 on 15.1-15.2 |
11.3,11.4,12.7 |
| Tues. 5/3 |
Triple integrals, integration in
polar coordinates Honors Convocation HW 4 due at 4PM |
15.3, 15.4 (p856--859) |
| Wed. 5/4 |
Integration in cylindrical and
spherical coordinates, Applications of multiple
integrals Quiz 5 on 11.3, 11.4, 15.4 (p856--859) |
15.4 (p859--863), 15.5 |
| Thurs. 5/5 |
Vector Fields, Line integrals HW 5 due at 4PM |
16.1-16.2 |
| Fri. 5/6 |
Conservative vector fields,
Green's Theorem Quiz 6 on 15.3, 15.4, 15.5 |
16.3 |
| Mon. 5/9 |
Surface integrals |
16.4-16.5, 17.1 |
| Tues. 5/10 |
Review and catch-up Final Review sheet Review answers HW 6 due at 4PM |
|
| Wed. 5/11 |
Final exam Answers Final Answers |
|