Syllabus: Math 1D, Spring 2021
DRAFT
Math 1D-44Z, Winter 2021 (01240) Richard Hansen
Calculus (fourth quarter); TTh 6:30-8:45 pm; online email: HansenRichard@fhda.edu
Text: Stewart, Calculus: Early Transcendentals; 8th web page: deanza.edu/faculty/hansenrichard
Student Conference Hours: schedule to be determined Stewart web materials
and WebAssign
Syllabus: Partial derivatives, multiple integrals, vector calculus.
Prerequisite: Math 1C (with a grade of C or better) or equivalent.
Equipment: Graphing calculator (numerical but not symbolic -- see the restriction document).
Week(Tuesday) Topics (with reference to chapters and sections in Stewart,
8th edition)
1 (1/5) Introduction; 12.6 (quadric surfaces); 14: 1-2 (functions of several
variables, limits/continuity)
2 (1/12) Quiz #1; 14: 3-5 (partial derivatives, tangent planes, differentials,
differentiability, chain rule)
3 (1/19) Quiz #2; 14: 6-8 (directional derivative/gradient, maximum/minimum,
Lagrange Multipliers)
4 (1/26) *Test #1 (26 Jan)*15: 1-3 (double integrals over rectangles, general
regions, in polar coordinates)
5 (2/2) Quiz #3; 15: 4-6 (applications, surface area, triple integrals)
6 (2/9) Quiz #4; 15: 7-8 (triple integrals in cylindrical/spherical coordinates)
7 (2/16) *Test #2 (16 February)*16: 1, 5 (vector fields, curl and divergence)
8 (2/23) Quiz #5; 15: 9 (change of variables, Jacobian); 16.6 (arc and surface
elements)
9 (3/2) Quiz #6; 16: 2-3 (line integrals); 16: 6-7 (area, surface integrals)
10 (3/9) Quiz #7; 16: 4, 8, and 9 (Green's, Stokes's, and Gauss's theorems);
16: 10 (review)
11 (3/16) *Test #3 (16 or 18 March);* 16.10 (review)
12 (3/23) **Final Examination, 25 March, 6:15 to 8:15 pm**
Course Requirements:
1. There will be ten Homework Assignments via WebAssign due midday on Mondays.
2. There will be seven Quizzes, based upon the homework, on Tuesdays at the start of class. No make-ups will be given unless arranged in advance. Students should work problems in addition to those suggested. [The lowest quiz score
will be dropped to compute the course grade.]
3. There will be three Tests on Tuesdays at the start of class. Note the dates; no make-ups will be given unless arranged in advance. [One-half of the score on the final exam, if higher, replaces the lowest test score
to compute the course grade.]
4. There will be a two-hour comprehensive Final Examination on Thursday, March 25, 6:15 to 8:15 pm. Any student missing the final exam will fail the course; no excuses are acceptable.
Grading: Homework (10 X possible 6 points each) 150
Quizzes (6 X possible 6 points each)
150
Tests (3 X possible 50 points each)
150
Final Exam (1 X possible 100 points)
100
400 points
Course grades will reflect the following percentage range of total scores:
A = 90 ≤ % ≤ 400+ [360, 400+] C = 60 ≤ % < 75 [240, 300) F = below
50% (below 200)
B = 75 ≤ % < 90 [300, 360) D = 50 ≤ % < 60 [200, 240)
Grades B+, C+, and D+ will be used as the distribution of point totals warrants; A-,
B-, and C- will not be used.
Attendance: Regular attendance is expected. A student who misses any class during the first two weeks of the quarter may be dropped from the course. Inform the instructor, in advance, of any necessary absences;
email the instructor if an emergency arises. Note, however, that it is the student's responsibility to formally "drop" the course. Protect your academic record by observing these deadlines:
18 January to drop with no record 29 January for P/NP option
26 February to drop with a "W"
Learning Outcomes, Resources, and Policies
Learning Outcomes for Math 1D include:
-- Graphically and analytically synthesize and apply multivariable and vector-valued
functions and their derivatives, using correct notation and mathematical precision.
-- Use double, triple, and line integrals in applications, including Green's Theorem,
Stokes's Theorem, and the Divergence (Gauss's) Theorem.
-- Synthesize the key concepts of differential, integral, and multivariate calculus.
Resources:
The key to success in any mathematics course is practice through homework. WebAssign
provides a minimum amount of such practice. While showing work is not required for
these problems, students will benefit by keeping a notebook of these worked problems
for study purposes. Give an honest effort on these problems; don't simply copy another
student's answers. If you are working together on the homework, help each other understand
the problems and obtain the correct results. These are not meant to be a comprehensive
selection of problems; you should work plenty of problems for practice. The text contains
answers for the odd numbered problems. In addition, the Students' Solutions Manual, provides worked solutions to the odd problems.
Please, also, utilize the Student Success Center for assistance and group work:
deanza.edu/studentsuccess.
Additional resources are available at the Online Learning Resource Hub for Students:
deanza.edu/online-ed/students/remotelearning.html.
A comprehensive list of student services can be found on the Guide to Student Services
page:
deanza.edu/services.
Policies:
Collaboration on homework is encouraged, but help each other -- don't simply copy
other students' work. The class will also experiment with group quizzes. Tests and
some quizzes will be completed individually and must represent each student's own
work. Some, but not all, of these may be open-book, and students may not search for
solutions on the internet or in other resources. These policies will be made clear
for each assignment and will be reviewed and discussed further as the course progresses.